{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "view-in-github", "colab_type": "text" }, "source": [ "\"Open" ] }, { "cell_type": "markdown", "metadata": { "id": "htNnUcjewDtW" }, "source": [ "# Data filtering in signal processing\n", "\n", "> Marcos Duarte, Renato Naville Watanabe \n", "> [Laboratory of Biomechanics and Motor Control](https://bmclab.pesquisa.ufabc.edu.br) \n", "> Federal University of ABC, Brazil" ] }, { "cell_type": "markdown", "metadata": { "id": "EdYx0TltwDtY" }, "source": [ "Here will see an introduction to data filtering and the most basic filters typically used in signal processing of biomechanical data. \n", "You should be familiar with the [basic properties of signals](http://nbviewer.ipython.org/github/demotu/BMC/blob/master/notebooks/SignalBasicProperties.ipynb) before proceeding." ] }, { "cell_type": "markdown", "metadata": { "id": "v2UrTrKawDtZ" }, "source": [ "## Setup" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "id": "aa0gxU9awDtZ" }, "outputs": [], "source": [ "# Import the necessary libraries\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "from IPython.display import HTML, display\n", "# scipy and numpy have too many future warnings\n", "import warnings\n", "warnings.simplefilter(action='ignore', category=FutureWarning)" ] }, { "cell_type": "markdown", "metadata": { "id": "jeIMTcqawDta" }, "source": [ "## Filter and smoothing\n", "\n", "In data acquisition with an instrument, it's common that the noise has higher frequencies and lower amplitudes than the desired signal. To remove this noise from the signal, a procedure known as filtering or smoothing is employed in the signal processing. \n", "Filtering is a process to attenuate from a signal some unwanted component or feature. A filter usually removes certain frequency components from the data according to its frequency response. \n", "[Frequency response](http://en.wikipedia.org/wiki/Frequency_response) is the quantitative measure of the output spectrum of a system or device in response to a stimulus, and is used to characterize the dynamics of the system. \n", "[Smoothing](http://en.wikipedia.org/wiki/Smoothing) is the process of removal of local (at short scale) fluctuations in the data while preserving a more global pattern in the data (such local variations could be noise or just a short scale phenomenon that is not interesting). A filter with a low-pass frequency response performs smoothing. \n", "With respect to the filter implementation, it can be classified as [analog filter](http://en.wikipedia.org/wiki/Passive_analogue_filter_development) or [digital filter](http://en.wikipedia.org/wiki/Digital_filter). \n", "An analog filter is an electronic circuit that performs filtering of the input electrical signal (analog data) and outputs a filtered electrical signal (analog data). A simple analog filter can be implemented with a electronic circuit with a resistor and a capacitor. A digital filter, is a system that implement the filtering of a digital data (time-discrete data)." ] }, { "cell_type": "markdown", "metadata": { "id": "JJlPRScJwDta" }, "source": [ "### Example: the moving-average filter\n", "\n", "An example of a low-pass (smoothing) filter is the moving average, which is performed taking the arithmetic mean of subsequences of $m$ terms of the data. For instance, the moving averages with window sizes (m) equal to 2 and 3 are:\n", "\n", "$$ \\begin{array}{}\n", "&y_{MA(2)} = \\frac{1}{2}[x_1+x_2,\\; x_2+x_3,\\; \\cdots,\\; x_{n-1}+x_n] \\\\\n", "&y_{MA(3)} = \\frac{1}{3}[x_1+x_2+x_3,\\; x_2+x_3+x_4,\\; \\cdots,\\; x_{n-2}+x_{n-1}+x_n]\n", "\\end{array} $$\n", "\n", "Which has the general formula:\n", "\n", "$$ y[i] = \\sum_{j=0}^{m-1} x[i+j] \\quad for \\quad i=1, \\; \\dots, \\; n-m+1 $$\n", "\n", "Where $n$ is the number (length) of data.\n", "\n", "Let's implement a simple version of the moving average filter. \n", "First, let's import the necessary Python libraries and configure the environment:" ] }, { "cell_type": "markdown", "metadata": { "id": "Ph0jDKZnwDtb" }, "source": [ "A naive moving-average function definition:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "id": "YRbZ3FPkwDtb" }, "outputs": [], "source": [ "def moving_average(x, window):\n", " \"\"\"Moving average of 'x' with window size 'window'.\"\"\"\n", " y = np.empty(len(x)-window+1)\n", " for i in range(len(y)):\n", " y[i] = np.sum(x[i:i+window])/window\n", " return y" ] }, { "cell_type": "markdown", "metadata": { "id": "OK2YGgqRwDtb" }, "source": [ "Let's generate some data to test this function:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "id": "0ke05eTawDtc", "outputId": "8fd22bfc-d443-4740-886e-f61d22cbaf33", "colab": { "base_uri": "https://localhost:8080/", "height": 388 } }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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++eUXvP7668jIyMC///1vAMBNN92E48ePIzMz0/UdJ06cwJo1azBq1CjDcmRmZmL//v3IzMzEG2+8geXLl2tMuDvvvBOHDh3C+vXr8f7772Px4sU4cuSI12MrKirC6NGj8cMPP2DTpk3o1KkThg0bhqLKP9yoUaPw6aefolj1p/vyyy9RWlqKG264AQClcH3zzTexcOFC/PHHH3j44Ydx++2349tvv9V81+OPP44XXngBO3fuxAUXXIDi4mIMGzYMa9euxc8//4yrrroKw4cP1/S6+3NMN910E44cOYIvvvgC27ZtQ+/evXHFFVfghK9KtzoIxisFBQUCgCgoKKjtojAMU0OkpAjx9NNCbNsmBEDPQgiRmyvEunX0rOa114Ro0ECIEydo+//9T3+/S5cKYTbTNmYzvQ4GeXm0T0CIyZONt/vvf5XtMjONt4uJoW02bvS/DFYrfWbgQM/3Vq1Svvejj3zvq08f2vb77/3/fqaG6dNHiDZt/H+0aqVcBOpHq1aB7adPH7+LOGjQIHHJJZe4XldUVIiEhARxxx13uNbl5eUJAGJj5cX+j3/8Q3Tp0kU4nU7XNvPnzxcNGzYUDodDCCHEddddJ8aOHet6f9GiRaJ169au96dPny569Ojhen/06NEiLS1NVFRUuNbddNNNYuTIkUIIIXbu3CkAiK1bt7re37t3rwAgXnrpJb+P1+FwiMTERPHpp58KIYQ4e/asaNasmXjzzTdd29x6662u7z1z5oyIj48XGzZs0OzHZrOJW2+9VQghRGZmpgAgPvLjj3veeeeJefPm+X1M33//vUhKShJnzpzR7Oecc84RixYt8vu4Jf7qtYiasphhGCbY2O0UW9qpk+Is6jm+3qbyLSmh7RMT6bWe62k0cGvoUHrtXoZAUMfrVjfU4cwZJU749Gn/yxCMUAfJ4cP07CvEhKlF8vOBgweDs58QcsEFF7iWLRYLmjZtivPPP9+1rmVlN410Infu3ImBAwfCJLsdAFx88cUoLi6G3W5H27ZtMWrUKIwfPx4LFixATEwM3n77bdxyyy0w6yUBr+S8886DxWJxvU5JScFvv/0GANi9ezeioqLQu3dv1/sdO3ZE48aNvR7b4cOH8cQTT2D9+vU4cuQIHA4HSktLXa5rVFQUbr75Zrz99tu44447UFJSgo8//hgrV64EAOzbtw+lpaW48sorNfstLy93jaWS9O3bV/O6uLgYTz/9NFavXo28vDxUVFTg9OnTru/255h++eUXFBcXe8RDnz59Gvv37/d67NWBhS/DMPUWIzErY3yl8N27F7jvPn3RarUqwjcqCoiN1Re+RgO3XnkFmDtXX1D7ixS+MTG+Qx0aNKBcukahDmpB7G+og5ygokkTY+EbF0eC2lf8c0UFcOgQLauFOqB/k1IT1Nb3hjUyhYm/OBz6IrdVK4ppCdH3NpBzaVdiMpk066TAdY/Z9cbw4cMhhMDq1avRr18/fP/993jppZcCLkcg36nH6NGjcfz4cbzyyitIS0tDTEwMBg4ciHJVIvFRo0Zh0KBBOHLkCL7++mvExcXhqquuAgBXCMTq1avRpk0bzb5j3OYeT0hI0LyeMmUKvv76a8yePRsdO3ZEXFwcbrzxRs13+6K4uBgpKSmasVmSRo0a+b2fQGHhyzBMROOvKHHfzsiBHTyYxJd0cC0WYM8e42wDUvg2bEjrExP1MybIgVvq/ZjNiuhVl0EKan+R39eihW/Ht1EjEqdGjm9VhK+coKJVK0AvLLG4mM5LdLRvxzcvTzkfauHrzXEPJbX1vWHPTz8F/pmMDLrAHQ4lgDvMTua5556L999/H0IIlyj+8ccfkZiYCGvlnzI2Nhb/93//h7fffhv79u1Dly5dNM5moHTp0gUVFRX4+eef0adPHwDkxp48edLr53788UcsWLAAw4YNAwDk5ubi2LFjmm0uuugipKam4t1338UXX3yBm266ySXCu3XrhpiYGOTk5GDQoEEBlfnHH3/EXXfd5YoVLi4uRlZWVkDH1Lt3b+Tn5yMqKgrt2rUL6PurAw9uYxgmbPE1EMzfsTJ62xk5sH/8Qcvx8TTIqkkTEmzesg1IxxcAkpL0XU2rFXjmGe3nJ08OTvoutfD1lc4sIYFCCILp+MrjTUkxdnwTE+nmwJfwVY2NcQ3Gq638vpxXOMjYbEBWFv2ps7LCTvQCwD333IPc3Fzcf//92LVrFz7++GNMnz4dkydP1oQyjBo1CqtXr8ayZcu8Dmrzh65du2LIkCGYMGECtmzZgp9//hkTJkxAXFycJuTCnU6dOuGtt97Czp07sXnzZowaNQpxcXEe2912221YuHAhvv76a01ZExMTMWXKFDz88MN44403sH//fmzfvh3z5s3DG2+84bXMnTp1wgcffIAdO3bgl19+wW233aZxsP05piFDhmDgwIG4/vrr8dVXXyErKwsbNmzAP//5T/xUlRsrP2HhyzBMWOJL1PorSoy2a9hQX8zKnlQpZBs3JjH6/PPKdmazNtuAWvgmJhp358sZ4S67jNr9Bx8MTvouKWKbN/ft+CYkkOsbTMdXitmUFPqMe5rPoiI63w0b+g51yM3Vlheovfy+/n4vT7EcAFYrkJ4etjEjbdq0weeff44tW7agR48euPvuu2Gz2fDEE09oths8eDCaNGmC3bt347bbbqv297755pto2bIlLrvsMtxwww0YP348EhMTERsba/iZjIwMnDx5Er1798Ydd9yBBx54AC1atPDYbtSoUfjzzz/Rpk0bXHzxxZr3nn32WTz55JOYMWMGzj33XFx11VVYvXo12rdv77W8c+fORePGjXHRRRdh+PDhGDp0qIfr7euYTCYTPv/8c1x22WUYM2YMOnfujFtuuQXZ2dmu2OuQEPCwuXoGZ3VgmNBhlCUhN1fJfiAfFot2u3Xr9AeJu2cr8LbdpEna/S9dKsSePfR6/Xr6/IUXCjFmjBA//EDrk5KESE/XlvuGG4S46ipavvRSIW6/Xf94ZXaDoUOVdcHI9PDqq5SJYeRIIa64wni7ceOE6NdPiAEDhFANStewYoVyThYs8P698vf78kvafupUej51SrvdnXcKccklQvTtK8SECd73OXOmEA0b0n4yMpTv8XU9hAJ/vjdUmTqY+k1ubq4AIL755pvaLkrQCPUx+avX2PFlGKZW8Obo+uO0+TvZgbft+ven1+PHKz2vsns9Pp6emzShrA5yAPullwLr12vL7a/jK+Nf1d39NhswdSotL19etd7fwkIKX4iN9T24zR/H12Kh7bztS/37XX01rTOawCPQUIe0NBqoJx1fmd9XEur8vtLBBbx/L4dCMMFi3bp1+OSTT3DgwAFs2LABt9xyC9q1a4fLLrustotWZcL1mFj4MgxT4/gSDP6IWvfJDtzDD9TbTZ6s3Y/cTsbGJidrwxbawI7mv1PftVr4xsYC6kmeZLlPnPBP+Mo0Xe7iT54HnfA8vygspNhiX8JXZqvwFePbqBGVxWhfer8fQLHQgOfxyVAHb+dGkpsLtG1L51M9uM1mI0F87rmhDQ91vyEDADnuZts27ffyFMtMsDh79iz+8Y9/4LzzzsMNN9yA5s2bY/369R7ZICKJcD0mFr4Mw9Q4vgSD1Qq89prynpHDZ7MBQ4bQ8uTJxmJIChiTib5bbieF7/HjyrbJ72UgG2loN5aUz7C8DJfwbdpUv9wnTypZHcxm2lbP9ZOOr7v4k5MUuafv8hd/ha+/jq8v4av3+wGUJg3QF76BOL6pqVRO9Uxzcv8NGoTW6dW7IZPnyi3DE0+xzASNoUOH4vfff0dpaSkOHz6MDz/8EGmy4opQwvWYWPgyDFPj+CMY5ECwVq28O3xSTLqLJDUyU4OM1JQUFpK723p35cikrVvR7eXxsEBRPiPXTUTsMTsOHiRBplduh4OEWkYGsHIlsHu3/oA8vVAHgISz3np/CcTx9SerQ6NG3vel9/sBgMx5734cMp2ZP8I3N5fOc3y8543A6dOBTaMcKEY3ZFL4qm+QABLg//qX8pqnWGaY8IeFL8MwNY4MU1CLp3nztIJhzx56rqjwLiRk+qu8PONt/vgDuKaHHenIxMHNihXba8N8ZKMt/r1hMKmt/v1hUitjAGbhQOfjG2G3A+ecox/zWV5O5ZwwQRHWevGeRqEO0vGtqvAtKCDh62sCCxnq4I/j6034ugs+k4km7+jalV7rxfj6E+qwdy9w7Bhtq+f4nj4d2GxygWJ0QyZxF76AEt8sM3WEYYYuhmFUsPBlGKZWsNmAt99WXhcUaEXi7t307E0oFRWRWxoXpwhf99RSIteOW7Y8jE9/aYtMDMbFoyqtWLsdt/x4HywQxl9QyVsVI3Hr9qnolmSHzQa0bw/cfLMidIqLSaT5ivc8coQGy5WW0nuSYDq+geTxFTqHrha+3kSmnOX0vPOAKVMo7ZsM9ygu1v4O/oQ6ZGQowvmRR+iY1I6vECTEQyl89eLGn35aeV9P+MoyCsFOL8NEAix8GYapNeSUwAAwbZo2PEA6vmVlSuyoOzLna9++JHzdByZ9f+dioG0q7il7GaZKgWsWlVbsRx/BODW8FgsE7imdjccXUgGTkihnrtVKgqekhAZk+QrfOHIE6NCBltWirqZifNWO79mz+iLSH8cXUEIlCgroOBMTlUk/1qzR/g6FhYrw1buR0Yut3bcPOHpU2UYK+lCGOgB0IzN6NC2/8gqlnJXoCV8p5PVmrGMYJvxg4cswTK0hu/4l6vCAPXsUB9HI9c3OpucBA4BDh7TiKcVpx8Vv3a0vbh0OYPPmgMtrFk5gwgT0dmx1dcOXl9PupFsou8ZNJm2855kzJADPOYdeq53P6oY6VGVwG6CEO6jd2UCF76FD9JmGDemY4+OBt97SiliHg85TYiIdoxDa7zQaLKcWmlKkh9LxlUiRXVZGoRcAHZ83x5eFL8NEBix8GYapNfQyH8jwgD17lMFSUvi6hzHk5JDQ7NOHHEy1eOqEvTAbhTFYLMDvvxuWywGz0t/tjtOJpb9fiAG/kzVduodih615W2HrkIncjXYMH04hw2PHKh+TwkgKX3lM5eWKeJLCN9CZwNR5fCsqPGdOk6gHtwEkXt1d8rw8/4SvzIjhdFJYSodoKnT7BnbdEAoZ5+tw0A2B+jt/+snTLTeZtD+BLIvDYdwD4A/+nFspcPPylOWOHb07vidP0m/JMEx4w8KXYZhaQ054oMZiobRhx46RoAVINOlNeJGTA7RpQyIT0Iqn42hiHL178cXAjh20XVQLErqVO1jXZwqGdMwGlizRT10AwAwnxm2dANx/Pxr1oNjhyx/vDwwejJQL0/Dv9hnIyQHefFMRWFL4ylAHtWCSZS8u9j1VsztCaB1fQD/O9+xZeshQB4BuLtxDDAoLaZ/+Or4A0GNbBt7/iQq941QabPAsdMeO5PgCwL33ar9z2jTgxRcVoWux0GAxdRy02umtariDv+dWCtxDh+g6bNwYaNHCu+MLaEMzGIYJT1j4MgxTa8gYX7OiO7FoEQ0aA2gQGQDs36+fX3XnToqtlQL6gQcoPVk6MjES72rCHBzqV999p5Sh4igewwv4c34mkJ2Nd/vMQlGylYI9s7PhfGSKIoxVWOCEeO01VxYI196dTnR/bSLawI677lIElgzrcA91kMK3dWsSVoHOBHbmDAnawj/tSPwpE21g1xWGMjRD7fiuXq0fYnDmjH/Ct3O8HTdiFeYUjoe5MgWcBU4sAh0/oIjZDh2U0BW9QYB9+wIjRgA9etDv37u3VlSqha9cDsQZN8rRu3Wr5z7Uju+xY0CzZnQz5kv4crgDw4Q/LHwZhqk1pKP3/vv0/O679HzddfT88MP0vHu3ccYEtfC9dA9NPpGJwfgHZri2fRO340Js1HWATRB4AdOQ37AjYLW64mABAFYrzLNn4Yr4TXDqVJdGg+PMTgc6gtI5OCksGJs20XtSzMtQBxnfm5pKy3rHuXEjiTM9kbZwITAWGZg6Pw3Xzh2MbKTB/B9PK1MKtPh44JNPaHnJEv3yd+pkIHyl0ty6FX97fwJ2lrbF/zDSI6TEAge6mOn4L76Y1jVsqAhf9ygSOQiwoIAyO1itnjO3uTu+Ru6tkRg2ytE7YIDnPo4fp/RsUvg2bWosfIuLlbhudcx6oOEqDMPUDCx8GYapNWKOkjvbvRGpg6Iiz1y48lkvY8LRo7Tt8ePAuYl2XP/5BNfkE2ptdRtWoAOyDYVqFByo2EVCTWY+kGRkAN+W9sN4LNZ1fvVwAihBgvLaCTz3HO1XutzS8T29l85Bj6Z2OBz6sa633ELirH9/rUiz24GXHrFjMZTjtsCJRo952sRSRJaWkjPuDY+BcnY7MHWqojT798dFvy8xjKF2woTdzo5ITHRFlCAxUQl1uOACZVv1pA/5+cpNjHseX7UIP3BA372dPds4lMFo0g33vMt//UXXYZcuFOpw/Lhvx1eG2kjHN9BwFYZhag4WvgzD1A4ZGbj6bnJnzxncFi9iCg5vs2tcORm24Myx48UXlfVtzXY8e0UmrPlbkbciExe1tWOQ6VtXd7s7UXDgwYdMhsK1AhZkN6C8Y2rHV3aPA8Ay2HAhNsFpIJ/VEtAMYBMG4EVMRV9sRToy0VrYUVoK/PknbVNcDOD++zH4rlRkYjDmf9YWo4/O0uSRlbg7lVKkbdgAPCxmKzPNVWJyuiUQhiIijx3TD284/3xl+aabyCE9cwak2tq2JVWp90EdKmBBLE7j+usVgS/TmQFKGrphw7STPuTlKcLXfeY2teO7Z4++e/vYY8ZhIjLrhkRPBDscilA//3wSwFlZWuHrPnCvuJjeS0oi4WsUUsHOL8OEByx8GYapeSrVgUlUurNC4FHMwWPz22KcKQNtYMdMTHWFLTz+elvc+RuJyFW4EVnOVEz7ajC2oD8yMRhZIhULCm83/DqnyYL2tw3E3abFqAD1S0v94jRb8I8mi5DtoLxjMvMB4Nk9/hP6YTyWwGHS7sMBM+bhPgiVKLZA4FHMdpUxG23xIqbipoF2REcDpqwDwGuvuT5hhsA/Tj0K28nZuOwyWteqFQkteQMgRXQbkDvc/I9MPIRXPI5XmEx0EKq+dikiz29sx2BTpisGtw0oTrfrb6tc+09x2vHll8A5J7YC48frz3ThhWhUYA+6YGKUYnWqQx1keEdyspLu7fRpCnVo1YpeJySQ8JbhMGrh27Klp3A1m31PIGKz0WQnzZpR6IleL4KMf+7enZ537VKEr8zAoQ5jkNdLixYkfI1CKtzuQxiGqS0E45WCggIBQBQUFNR2URim7rBunRAkpzweDpNJVNCQMY+H0+Az3rY9C4v4/O9LhRBCLF0qRBvkikHIFP2wRQxCpvjjy1zRq5cQd99NRevdW1nOzRXCbNbu2mIR4rlJuWJEUqYQW7aIFRMzRRvkirx3jI9J/aiASbyIKWJt36n625jN4poeuaJZM3o5FktFBcyaY6qASWxDT8PzUZ7URAiTybU/sXSp+PprIcZiiXBWrq+AWSzDaOFQnWv1/j/HUOEI8Fx7rDdbRF9sEX9rsE6I3FxRVqbd5LrrlEvir79o3Vdf0et33qHXRUX0+t13lc+tWyfEnDna32TmTP3fKjdX+Q6Hg9bHx9PradPoekjHOtHWnCuWLhXi229pm48+UvYzY4YQa9bQ8osvKt9jNgvRs6cQw4YJcfHFQtx5p/E1oy4HwzDBx1+9xo4vwzA1j1HAJQCzEIbTCPs70xoAZD36OpCZia4xWdg3iPrSbTZg4I1WHO2Wjskr+uFbpCOuk1UTv6l2fN0npZDxqPGdrVjrSAf69cPhc9NxMt6KVpcaH5Ma6QRf/tMs/Q2cTvQ6+BluSyGHVx2/a1Ltozd2GJ6PBoUnPIJXEzI/w1KMd2WhsMCJu/CGJk5Xvf+r8aXPLkEnzPjtqinojy34dPBcj/dNTgc2YwC+PDsYIi0N0W9lIDqa3uvYURvDK6ecVju+gOJUu2d1GDFCeb10KYUgu083vGgRLavdWYC+t2y/HeN/uRc5oHR0WaA0bPI6UId+SMcXoNRr6jCGHTvoO6Xj6z7tsftEJgzD1C4RJXy/++47DB8+HK1bt4bJZMJHH33k8zPr169H7969ERMTg44dO2L58uUhLyfDMD6wWoF//jNku6+ABX+0vxbOy9Kxv8yqGazWuTPFZcbE0OukJO3ApdJS7eA2m43iPDMzlXjU+HjaTgjaV8OGUBSPH+IXUESmnsT/17FJeOW3wdiEAR7xu94wDEhwOHDh88M9hHIgNxIApYSbhSk4/OkW/F/jTMybko03zpuFn9APk9bdpBtDLYW1yemEc8JEdIy1w2IBzjtPK3zz8+lZPbgNULZxz+qgnuVOTm9tsymThkycSM/qQWaLF8MVRhPdMRXtP1+gKR8mTEDiGgr5SPsrE53iKBxELXz1wpwdDkX4ynL8/e+0fMstSgwzwzC1T0QJ35KSEvTo0QPz58/3a/sDBw7gmmuuweWXX44dO3bgoYcewrhx4/Dll1+GuKQMw/ikf3/XojCaJc0HekKvAhZMxCL8UWB1iSW1kG3TRplmF6BBV0aOr8RqBdLTFdcuPp5Eb1mZSvgCrty/mDJFsYn9wF1LqZ1Xv3Gf6sxgn1XFATMuxGY8ilnY2bAfvjidjoJEK156id4/CCsmYDEqvDQrZqcD3Qo3wuGglGo5Ocp7eXlAgwZK1gv5m6kdX3lKT59WhO+559JNiXR1ZUywnMI6xUnx0b2dWyGmTEEOUjEVs/XPh9OJIYtHYgv6w3LlYOw6nYaxyHClMzOiVSuKO1anM5Ozyx06ZPw5hmFqnogSvldffTX+/e9/44YbbvBr+4ULF6J9+/aYM2cOzj33XNx333248cYb8ZKsqRmGqT0OHlSWH39cX+KZzfip2VA43AakVcCM2aYpODHpnxCVDmsFzJiJKWiHLCyDDU2aKG6hu/CtqKDBRrGxQHQ0PQ4eVLrD1dvrERdHz1KAuYQvQOp41izFJt6yBZgyBcKkX92aAM2gOG8YyWCHyQI88ogrjKGqGH26AhZMwGL8hH6wWCjJw5kzdPxqB3QZbLgNK7x+x0rcgrHIgBCU3UFmO8jL0w5acw91OHNGmXHuzBllfevWNFBNuroyK0PRTjtmOie7Qhm2oD+mYI5fjZ4y4JAm47Dk2ZGYSLl9GzRQtrNYyA1u1Yoc38OHgXXr6JjkjZV0oxmGCQ8iSvgGysaNGzFkyBDNuqFDh2Ljxo2GnykrK0NhYaHmwTBMCFAJX1Nior70W7kSs69Yg9suysKLV2Vi7HlbMP/GTLRDNqaKWWix6N9Y+UI2Vk/JxDnmbDyGWci3kC0rwxHkskS6tjt30gj+jAzglVcozVdaGrm47o6vO3J/paU6wlf9RenpQL9+wKxZMOVUOsE6oRAWCENhLHGazDj2n08xC1NcmSmk2H/tkSzgwQddNwFVYTqm40LTFhTdrbjVFTBj2+XKzYSMcZb5eM85x/NwNuAir/mO3Wd2k9kOyvbbcXv0KmDVKsBu15xjgER2XByFqKgd33XrVOfICRzdYcccPIxv9qTiEbykhDJU8bxEwYEnbtmHZctIeEsnt00burcxm+l6+f13uqG64gq6jv76i66vvDxtWAbDMLVLnRa++fn5aNmypWZdy5YtUVhYiNPqgDEVM2bMQHJysuuRKjOTMwwTXNR9wH36wOkm/ITZAgwciKQk4MBZKzbGpCO7RT888EE6DoLUq9MJ3DHNih4PpuPHbCsyM2lyA4AEk5HjC1A+3bg4/QkzDKoHF9Lx9Sp83ZFO8CbPWeCcJguOTX3RI9WaGrNwonm7hmiydBbaIwvpUMR+u0usgNUK02IlXRvMZv3QB531FbBguXkcJizph8TXya3e/ALdYLR6axYqWlrRurUS41xQQJ875xzt4D9AHfJAKx06kjMKDlyDz5COTHRJsAOLFuHFlW0x46+RwMiRQNu2aPYxpUJThzrExdFDLXzVJvdYZCAbbTEZL/stdPXKp8YJoEgkYPx4ujmSnDpFP2lJCYlhdY5gp5PcbJkSbe9ePwvDMEzIqdPCtypMmzYNBQUFrkeuzLTOMExwUYc69O6NT69drHIyLTj8LxoKn5hIEwnIaWSNcqRKgzU1VRFHesK3RQvaz759FOKgN1hJCjsj5P50Qx180a8f3r1isSt8owIWvDt4EbJvImf1tb9n4lp86ukAV87ra7MBD8y04jtTOl5+j24ApJiHzYbuCVn43z2ZFGu8ZIlLlTphRkaTKR7rhcWCfVMW4cdsqzIIy2pFaX+6wTh9mkSeEIpbLs9PcrJ28N+sWbTbZbDhHHMWVk/JxLFPN+s60QsxCZkYjJQBbYG779bOAicEkqeOR19sdf2GZ87Q7ypnlCsuBtpFKTmJ20DOYOdfuIcTZqxMnYKnrtzscSOi3gNNRnIhxgjt9GslJXQqS0qoLHrXUdu29MzhDgwTPtRp4duqVSscVo82AHD48GEkJSUhTlo2bsTExCApKUnzYBgmBFQK3zJEA02b4q/LbegWl4Ufns1EO2TBMoFUmBS+J06QqNWbdKBjR+26uDit46v+u5vNFBfqcNCAJb3ogA4dvBfdr1AHL/w+wIaL22ThwwfoWG9ba8OAAeSWZop0fI5rceZVnTxqlcrzkktIiP72G72tTpV1PM6KfdZ0WqlSpdNuy8bCDrM81puystB1ls0j3VZsLD2fPEnhH+pZ1GQEmJzsQd50TJmiiOAfs624ZlY6Wl7bDyadbBcun9UgLtkkBDZjAFp/QYLz9Gmase9yZKLBYTs6rFuK/RVpWCtocpAvMNRrBgx1fPjrCVMw54FsPN9oFg627ufmUJvxCu7TiF/38AzJli303K6d/nXUoweFR3z5Jc/cxjDhQp0WvgMHDsTatWs1677++msMHDiwlkrEMIyLylCHPFNrwGRCo0bA3tNW/NGcnMbGjWkztePbrp1+Xl130RYfT0JJL6sDoDikLVp4dtUD9D3e8Dq4zQ8aNgR2l1hx42vasA0A2L+fyhN7r04etUrOPZeev/qK3OsWLZR9S0fURaUq3XvaivJylQBzT1VhcIwyIkWdekzt+Lqju1ubDVjhfdCbHmYIXPQGzffb//cMfLQjDe/kD8aj89viqg/Gu6aotkDgfPypuw8ZB73v7S14795MnBubjUUdZyHbYcXx43TeM2BDu8rwkTRk42P8n0cARBQc6Ajt9GsyJ3FampIzGFCupwMHyC3/z39omwytacwwTC0QUcK3uLgYO3bswI7KYbsHDhzAjh07kFOZE2fatGm48847Xdvffffd+Ouvv/Doo49i165dWLBgAVatWoWHH364NorPMIzkzBlX/rB8U2sAiojKyqLculFR9Frt+DZpop9X1x13x9dI+Kq76mXeVb3t3amu45uYSA6qXvd4Tg7QuHFlGK6BOG3USMlm0Lq11m30EL4gwfXhh8Cvv/ovwKTjK4VvRQVN2Qt4F76GXHSR1xzHRgEKZuEAPvsM4zePdzm6Zj/zYKzAzejXrHLQY2o/7GqVjsIkK5o0ocvv+HHqLTCbyW3/FnQjst/UySM8w2m24ICZuhbkW/I8JyQA48ZRVorRo4Eff6T1S5aoPk/ziLDzyzC1TEQJ359++gm9evVCr169AACTJ09Gr1698NRTTwEA8vLyXCIYANq3b4/Vq1fj66+/Ro8ePTBnzhwsXboUQ4cOrZXyMwxTiZymC0CemVSoFFEHDii5XAESiULQACK53odZ6XJ8fQlfGclktdKYKomvrA5VGtymomFDOh69sWcnT2qP34hu3ShcQy9EQS187XYawCfxV4BJ4asOxZbns6CAzoE6tZdP3KbBcxe6JgAOAE43SSsAYNIkmALJaQwKWZiKOeiYTifo1Cnlt2rShI6/rEwZoKfWuZfdRgMF1ZgXL3INoJSJgWRzI3//lBS61uT1YRSPzjBM7RFRwjc9PR1CCI+HnI1t+fLlWL9+vcdnfv75Z5SVlWH//v246667arzcDMO4oVJTeRbfwlfibRIBNe6D26SIk0ixqA7hv/hiZTmkg9ugbN+unSJ+LRbl+GSYhzfOO4+eXQPbKomNJUEn2bu3agJMT/jKON+CggDdXonKrt8/2XMiIguA2XjEazo0fxBmC+Z2WYyDsLoyK0jhm5hI15c8/mbNqFgzZiifX7GCwh/QuTOtiIkBxo513XDJcy+Fr7xRkpNYyBy+/sSjMwxTs0SU8GUYpo6gUlOHzdpQB2/C1x8nFFBy+JaWkgh2FyBSLB49qjifX3yhvN+vn/dwgAYNSMSUlNCjKqEOAAmnhx5SwjZataL1/jq+ALnhavdWOr52O+23YcOqCTD3UAcgCMIXcNn1Z64c4SFwK2DBfPODWDUz2xW47E9Ig0yFJ0wUz7vg0Sw8todiYP71LwqbKSigkJmGDenGQk6R3LQpnatp01T7q3TFz7SsTMtQVqa5G4qPJy3sLnzltMVy09mzlXNvFI/OMEzNwsKXYZiaR6WmDkeRCpWzch09qhV+ale2Ko6vXryunN1ryRKKeZ01K7BwAJOJvuP4cRKeVXV8HQ7gyiuVsA253h/h+9df9Pzee9q43dhYylGclkazmV14IXDjjcrn/BVgesJXHepQ3YQ30R0o368wK2nddj1E4QS33gq6EHTwCHiwWLBm+iakIxMfvkzxvA/MtGpyM1dUUOoxdaiDpGlTY1f8VFxrZYXqRJhMtA/3UAcpfKXjO2kSDWwDKDxCLx6dYZiahYUvwzA1j8rxdZgpUFTtIFbX8VUPbnMXvnY7OXESpxN4/PHAwwHi46lbG6i68AXIXXZf7yvUwW4nsS5RC3UhgK1bleNxOkkcA8CyZcYDAt2JiaHnoIY6qIiPp3y/65dTWrdOUVk4b25lWrW9e3XTnDlNZnzfYbQrB7LDRCrecmE/fIt0/HJcmyFDTU6ONtRB0rQp0KmTvise30lf+AK0D5nmXS/UISaGbh46daL3DDJoMgxTw7DwZRim5vnuO9fiwoJbgIwMREcrLqOe8LVY/HcZ1YPb3AWHnrvndAYeDhAXR+4eUPVQh5QU7UA0fx1fb3G7ckpdNXLbW27xv6vdZCLxdvKkEoIhhW9hYXCELwCcTLDizxbpKGlsVQb76ShRB8xYdNcmvD1kOUZckIW70jLx7NgswGZzpXPbvVs/tAOg31OGOsjzGxVFv4XbuDuXK57UOUXZgWpAJkCC+fhxxf0HyPEtKCDxK3sw5E3MyZMBnyKGYUIAC1+GYWoWu50syUosUOxKKab0hG+TJvpZEPTw5vgauXsvvug7P7Ca+HilNz5Q4fvxx/Scl6cNU5DOoS/H1+gYOnbUDwcxmUhkB+o6yhsROXO7DHU4coSWq5OaS50SzsNBrlSiDpPygzzScDFOduyHuDgg20ETfThS6AeSwnfPHjp+dxHbrRvdEEjHV57fpk2Va0o3TV5r744vQL+Z3Icsx759ivCVzyx8GSY8YOHLMEzNsnev57pKu1KKBLXwlYPT/A1zALQTWLgLXyN3Tz3rmD/hAGrHVx2O4Qu7nb5Log5T8NfxNToGq5U+K88jQKKsTx+ga1f/yyhxF74lJSTSf/6ZBgNWZ1KGmBgqW2kphQaoywwAsNnw4Igs3GHNRN7GLGTAppmyuKREuVFo1oye9+yh/biL2PPO80xnBnjeJHikyfND+Kpvelq21JYDUES2jPtlGKZ2iartAjAMU8/Qix+otCul66d2PE0mEjhRUSQO/emq9zW4zWYDhg4lZ65jR2WfVqv/oQDx8YrjGYjj6y1Mwd8YX8D4GGJjFZHVsiUNbsvJqVoaLSl8W9Pkejh4UD/7wdChgWcrMJmU7Bt6McMZGcCCT6wQwop3LqSQ39hY5bdVp5GLiaHPFxQoglP9WzZqRNlC3EMdfA6WTPEe6gBocz6rnWeZHi8mhsrMji/DhAfs+DIMU7O4JdWtgGJX6oU6ZGSQYPnjD/8dRnU6M6NZ2HxNguHPdxw7RsuBCF9vYQqBZHUA9I9Bnt6mTSmbw+7dJI7lIKtAkKERTZvS8WZnB3dShvh4cm7dHV856YY6M4MQJHhjY+l6KCvTnncpOvVuGho1IlHsPrjN6fQRrqEWvl5CHSTNm9NzSYn2eBo3ZuHLMOECC1+GYWoWldLY2WEYLm+X5YorcBe+VZ11zJfjGwzi4hQR6GumNzXewhTkwDT1BBSBIoVv795Ar17Arl0kFKvj+DZpQseYkBDcSRmMHF89VxwggRwXR8cD6Atfj5CJynXHjlGIRMOGwMqVtP7HH33cTMXGKhejH6EOMTGesb0AC1+GCSdY+DIMU7OoVGtOqwE4GqPYlXIKXJnpoKqzjvnj+FYXud+YmACn7oX+QKqMDOCFF+j9K6+seuysFM0dO5LwlQQ6AA/Qusfx8XSc6lRw1Z2UISFBP8ZXzxUHaKY79QA9fx3f5GRFeJaV0c2TxOfNlIzzzcvTpFjTC3VQl4OFL8OEJyx8GYapWVQK41RDq0vgZGQoTtyAAfTaW1iAN+LiSCAXFITW8QWqJigBbZiCXte+P862OxkZwJw5tLxwIfDSS8p7V10VuJh2d3xLSoBhw2jdK6/4nxPYCCPHV7ri8reXz1arNlJGL77WyPGVFBQEeDMlwx3OnNGMUNNzfNXlUB8PC1+GCR9Y+DIMU7PIrP+gHK5ms7HwA4zDArwhxe7x46GbOEB+R1WFr5qqOttq3M+hEMB//6u8XxUxrRa+Mh5XCrjLL6/+9LtS+OpldbDZgE2baPmf/6TnuDjfjq8v4RvwzZQ6s4NqgJuR4yszO6i/s1EjzurAMOECC1+GYWoWlfI6EU/C15vw082v6gMpjo4fD32oQzCEb1WdbTVGcbFqAhXT7o6vFKmAf5knfBEfT0L6zBn9CTF69aLzIgcRehO+cmBZXp6nuFeL0A4dAryZUgvfX35xLUrHt6BA+30c6sAw4Q0LX4ZhahYd4etL+AWagUGKI4cjfEMd1Hgb8OYvRnGxagIV03qhDlLA6TmrgRIfr5ioevuLiqJIAynWY2O1oQ7qc//77/T8wgueA9bUojoxMcCbqawsZXnUKNeOP/0Urmf198nyVVQoH2PhyzDhAwtfhmFqFil8ExNRGpUEiyU4wk+NWuxGguMLVM3ZVqN3DkePrt45dTjoubhYm3osKiqwTBZGqIWv0RTIbdooc54YOb52O7B0qbLePaxDLarlZ/y6mbLblcBzgOJHJk5E3lY77rvP8/tmzwZefpnWjRmjiGEWvgwTPvAEFgzD1BxCKDG+qalwOhWX0mhChqqgFkeR4PhKAplAQw+9c/jvf1ftnGZkAO+9R8sdOtBEGAAJuEaN/J8+2hvx8cDhw7Rs5CBbrcBPP9GynLlN/XnAe6iM1arddyCz7GHvXk0mB7nj/B/2wem0uq/GY495xqkPHUrC9/RpyigRExPA9zMME3RY+DIMU3OcOKHkKrNaNcK3clW1B0wBken4Bgv3c1iVc6o32HDjRpr2+NSp4MT3AnQOpWA1cnytVmUbteMbF6e42TLMQy1+1WEdCQn02ukMcLCjwY5bXdLRY7X7a0AR3/J8nTwJtGoVwPczDBN0ONSBYZiaQz0KyGqFw+E7LrUq1ITjG67CNxjoOahCAIWFiuMbDNThEkb7bNNGWZZTFgPa8+4rVMZkImHdsGGATrXVCsybp123aBFS+lk9vu+FF4zj1KXw5cwODFP7sPBlGKbmcBO+TqciHoJJTTi+oQh1CBf0BsqZTDRg6+TJ4Dq+kqQk/W3cp2OWoQ7u591XjHSjRgGGOUjuuUdR6B06uHbs/n1TpxqLbynqOc6XYWofFr4Mw9QcauGbkOAR6hAs2PGtHnoO6t//rszhECzHV57DxETjGyDp+MbGkviWv63e4DpvA9bi4+HKGR0wshDHj3v9PiPxrQ51YBimdmHhyzBMzSFzQAHA44/j0j0ZIRG+6gFQoZrAoi47voCniLv8csrjGwrH1yi+F1BEpTq2FwjsvGdkULozu90z1ZlfyMDcggIapeYFPfHNwpdhwgcWvgzD1Ax2O/D558prITBm80S0KK+KBecds1kRv6F2fA8erKKLGAGoRVxCAnD2LHD0aPCFrzcHWe34AkCDBuT8+it85UA9SZWmg1aPSJNpKAIgLg6IjmbhyzDhAAtfhmFqBp3UUBbhQGpZAFOJBYAUVaESvl98Qc8vv1xFFzHCkOcxLy/4oQ7eHN/YWOX77HYl3MFf4RuM6aA1wjc/P4APEiYT5/JlmHCBhS/DMDVDp04eqxwmC/IbBjCVWADILvFQCF+7HZg+XXldJRcxwpAxtRUVNev4ZmRQXHFennKDER1Nk2r4c76DMR10dYUvwMKXYcIFFr4Mw9QMrVtrRzBZLFjUaxFOxAchca8OoXR8g+IiRhj+pB4LFF/CVy9MYfx4EsLffOOf0x6UWQGDIHzj44GdO+v2zRHDRAIsfBmGqRkOH1bmwL3wQiArC9+k2UIyuA1QHF/1QLdgERQXMcJQ30AEy/GVYtoo1MEon7DEX6e9utNBV1f4ZmQA27cDa9bUj7AYhglnIk74zp8/H+3atUNsbCwGDBiALVu2eN3+5ZdfRpcuXRAXF4fU1FQ8/PDDOCNnjmIYpubIzlaWe/cO6QQWAAnf+PjgTK3rTlBcxAgjlI7vqVP64lXvBsMdf512b6nOfFIN4RuUwXUMwwSNiBK+7777LiZPnozp06dj+/bt6NGjB4YOHYojR47obv/OO+/g8ccfx/Tp07Fz505kZGTg3XffxT/+8Y8aLjnDMMjJUZbbtgWAkE1gAZCoCtXANiAILmKEEQrHV2a3e+cdfSfU/QbDbPa8kakRp70awrc+hsUwTDgTUcJ37ty5GD9+PMaMGYNu3bph4cKFiI+Px7Jly3S337BhAy6++GLcdtttaNeuHf72t7/h1ltv9ekSMwwTAtSOb1oaAIRsAguJyRRaZ61aLmKEEWzH124Hpk1TXhs5oeobjOxsYMmSWnDamzdXFHdeXkAfrY9hMQwTzkSM8C0vL8e2bdswZMgQ1zqz2YwhQ4Zg48aNup+56KKLsG3bNpfQ/euvv/D5559j2LBhht9TVlaGwsJCzYNhmCCgFr4qxzcUwjcjg4TS0aMcUxksgi18A3FC1TcYteK0R0WR+AUCdnylay11c30Ii2GYcCaqtgvgL8eOHYPD4UDLli0161u2bIldu3bpfua2227DsWPHcMkll0AIgYqKCtx9991eQx1mzJiBZ555JqhlZxgG2lCHSsc3FDG+RjGVQ4ey2KgOcpBgw4akA6uLdELV4tdfJ9RqrYXfslUr4MgREr5CBBQ8brMBP/4IrF8PfPcdX4cMU5tEjONbFdavX4/nn38eCxYswPbt2/HBBx9g9erVePbZZw0/M23aNBQUFLgeubm5NVhihqnDSMe3QQMgJQVAaGJ8OaYyNJjNFOcbrPjeiBsgKON8y8tpNF6AJCfT+Qvb42OYekLEOL7NmjWDxWLBYbfpIg8fPoxW6oEHKp588knccccdGDduHADg/PPPR0lJCSZMmIB//vOfMOtYTTExMYiJiQn+ATBMfUcKX6vVZfOGItShOk4i4534+OBldADICR06lG5KOnYMc1Gobmd27AAuvzygj5vNSjY/hmFqj4hxfKOjo9GnTx+sXbvWtc7pdGLt2rUYOHCg7mdKS0s9xK2l0l4QblOnMgwTQgoK6AG4whyA0AjfiHMSI4iYmOAPGIyYAYLq7EFDhgQcOG6xsPBlmHAgYoQvAEyePBlLlizBG2+8gZ07d2LSpEkoKSnBmDFjAAB33nknpqmGCQ8fPhyvv/46Vq5ciQMHDuDrr7/Gk08+ieHDh7sEMMMwNYBOKjMgNDG+QP1LNVYTZGQABw8Cv/5aDwcM2u3Al18qr6uQjJeFL8OEBxET6gAAI0eOxNGjR/HUU08hPz8fPXv2xJo1a1wD3nJycjQO7xNPPAGTyYQnnngCBw8eRPPmzTF8+HA899xztXUIDFM/UQtfVZBoKNOZ1coAqDpKvR8wuHevdso4QAkc9/MEsPBlmPAgooQvANx333247777dN9bv3695nVUVBSmT5+O6dOn10DJGIYxZMUKZfnVV4HzzwdstpBOYMEED28DBuuF8A1C4Lj7xxmGqR0iKtSBYZgIxG6nqbkkQri6iUM9gQUTHOr9JAxWKzB3rnZdgIHj7PgyTHjATQ7DMKHFSzcxC9/IgAcMAnjgAUpiDFCQc4CB4yx8GSY8iLhQB4ZhIoxOnTzXVdqFoRrcxgSfiEo9FgpMJjrwHTtolJ/DEVCcDgtfhgkPuMlhGCa0WK3KdK+Axi7kGN/IImJSj4WK9u3puaIi4JxuHOPLMOEBO74Mw4QWIYDCQlpu1w74/nuXcuJQByai6NBBWf7rL01Oal+w48sw4QE3OQzDhJYTJ4CyMlru3FljF7LwZSIK6fgCJHwDgIUvw4QH3OQwDBNa1F3Cbn3kHOPLRBRqx/fAgYA+ysKXYcIDbnIYhgktXoQvx/gyEYV7qEMAsPBlmPCAhS/DMKHl4EFluU0bzVsc6sBEFOqY3gCFLw9uY5jwgJschmFCiw/Hl4UvEzHExio3b7t3B5TZgR1fhgkPuMlhGCa0eHF8OcaXiTji4+n51ClygDMy/PqYxUIJTtzncmEYpmapUpNz6tQpLF26FNOmTcOJEycAANu3b8dBdQPHMAwDsOPL1B3sdprBQ+J0uqbf9oWMZWfXl2Fql4Dz+P76668YMmQIkpOTkZWVhfHjx6NJkyb44IMPkJOTgzfffDMU5WQYJlKRN8SxsUCTJpq3eHAbE1F4mX7b16we8gaP43wZpnYJ2GuZPHky7rrrLuzduxexsbGu9cOGDcN3330X1MIxDFMHkG5YmzY07asKdnyZiKJTJ49rWE6/7Qt2fBkmPAi4ydm6dSsmTpzosb5NmzbIz88PSqEYhqkjFBcDBQW0rOOIsfBlIgqrFXjgAeW1yeSaftsXLHwZJjwIuMmJiYlBoZx+VMWePXvQvHnzoBSKYZg6gjruv3Fjj7d5cBsTcdhsyvJNN2lfe4GFL8OEBwE3OSNGjMC//vUvnD17FgBgMpmQk5ODxx57DH//+9+DXkCGYSKYJUuU5Y8/9hgBzzG+TMShzkxy8qTfH2PhyzDhQcDCd86cOSguLkaLFi1w+vRpDBo0CB07dkRiYiKee+65UJSRYZhIxG4H5s5VXgvhMQKeQx2YiKNxYxqoCWh7NHzAg9sYJjwIOKtDcnIyvv76a/zwww/49ddfUVxcjN69e2PIkCGhKB/DMJGKHyPgWfgyEYfJRK7v/v0BCV92fBkmPAhY+EouueQSXHLJJcEsC8MwdQk5Al4tft1GwHOMLxORSOFbUACUlAAJCT4/wsKXYcIDv4Tvq6++6vcOH1CPeGUYpv5itQIXXAD88gu9tlg8RsBzjC8TkajjfA8eBDp39vkRFr4MEx74JXxfeuklzeujR4+itLQUjRo1AkAzucXHx6NFixYsfBmGUZCtvdlMDllamuZtDnVgIhJ1+jI/hS/H+DJMeOBXk3PgwAHX47nnnkPPnj2xc+dOnDhxAidOnMDOnTvRu3dvPPvss6EuL8MwkYSMgWzd2kP0Aix8mQhF7fj6MV0xwI4vw4QLATc5Tz75JObNm4cuXbq41nXp0gUvvfQSnnjiiaAWjmGYCKa8HDh8mJbVQkEFx/gyEYl7qIMfsPBlmPAg4CYnLy8PFRUVHusdDgcOy0aOYRgmL09ZNpjZih1fJiJh4cswEUvATc4VV1yBiRMnYvv27a5127Ztw6RJk2okpdn8+fPRrl07xMbGYsCAAdiyZYvX7U+dOoV7770XKSkpiImJQefOnfH555+HvJwMU+9RdwHrOL4y2QMPbmMijioIX47xZZjwIGDhu2zZMrRq1Qp9+/ZFTEwMYmJi0L9/f7Rs2RJLly4NRRldvPvuu5g8eTKmT5+O7du3o0ePHhg6dCiOHDmiu315eTmuvPJKZGVl4b333sPu3buxZMkStDHodmUYJoioha+O4ysFADu+TMSRkkKp+gB2fBkmwgg4j2/z5s3x+eefY8+ePdi1axcAoGvXrujsx6jW6jJ37lyMHz8eY8aMAQAsXLgQq1evxrJly/D44497bL9s2TKcOHECGzZsQIMGDQAA7dq1C3k5GYaBVhCw8GXqEg0aAC1bAvn5lK3EbjcM55Gw8GWY8KDKTU7nzp0xYsQIjBgxokZEb3l5ObZt26YJpzCbzRgyZAg2btyo+5lPPvkEAwcOxL333ouWLVuie/fueP755+HgmodhQo+PUAf5N2Thy0QkMTH0fPw4ZSzJyPC6OQtfhgkPAnZ8x44d6/X9ZcuWVbkw3jh27BgcDgdatmypWd+yZUuX8+zOX3/9hXXr1mHUqFH4/PPPsW/fPtxzzz04e/Yspk+frvuZsrIylJWVuV4XFhYG7yAYpj7hp+PLMb5MxGG3A9nZymunE5g4ERg61ND5ZeHLMOFBwML35MmTmtdnz57F77//jlOnTmHw4MFBK1gwcDqdaNGiBRYvXgyLxYI+ffrg4MGDmDVrlqHwnTFjBp555pkaLinD1EHUjm/r1h5vc6gDE7Hs3eu5zuEA9u0zFL48uI1hwoOAhe+HH37osc7pdGLSpEk455xzglIoPZo1awaLxeKRMu3w4cNo1aqV7mdSUlLQoEEDWFSW0rnnnov8/HyUl5cjOjra4zPTpk3D5MmTXa8LCwuRmpoapKNgmHqEdHybNQNiYz3eZuHLRCydOtHgNpmaBCBLt2NHw4+w48sw4UFQmhyz2YzJkyd7TG0cTKKjo9GnTx+sXbvWtc7pdGLt2rUYOHCg7mcuvvhi7Nu3D07VLfaePXuQkpKiK3oBICYmBklJSZoHwzAB4nQqwtfAAeMYXyZisVqBu+5SXptMwKJFXge4sfBlmPAgaE3O/v37dSe2CCaTJ0/GkiVL8MYbb2Dnzp2YNGkSSkpKXFke7rzzTkybNs21/aRJk3DixAk8+OCD2LNnD1avXo3nn38e9957b0jLyTD1niNHAFkfNGmiuwnH+DIRzW23Kct33w3YbF43Z+HLMOFBwKEO6jAAABBCIC8vD6tXr8bo0aODVjA9Ro4ciaNHj+Kpp55Cfn4+evbsiTVr1rgGvOXk5MCsso9SU1Px5Zdf4uGHH8YFF1yANm3a4MEHH8Rjjz0W0nIyTL1n/nxlOTOTRry7CQMOdWAiGnWmkqIin5tzjC/DhAcmIdRBSr65/PLLNa/NZjOaN2+OwYMHY+zYsYiKClhLhzWFhYVITk5GQUEBhz0wjD/Y7UDbtp7xj1lZmq7gw4eBVq2ATz8Frr225ovJMNWisBBITqblyy8H1q3zunlODmU9+/JL4G9/q4HyMUw9w1+9FrBKzczMrFbBGIap4+zdqxW9gO6Id47xZSKapCSgYUOguNiv2ds41IFhwoOAm5zBgwfj1KlTHusLCwvDLp0ZwzC1gBzxrkZnxDuHOjARjwx3OHjQ82bPDRa+DBMeBNzkrF+/HuXl5R7rz5w5g++//z4ohWIYJoKxWkn8SiwW3RHvPLiNiXjkNV1SAhQUeN2UhS/DhAd+hzr8+uuvruU///wT+fn5rtcOhwNr1qxBG51pSRmGqYfIGQ8bNQJ++83rzG3s+DIRi7rNO3iQrncDeHAbw4QHfgvfnj17wmQywWQy6YY0xMXFYd68eUEtHMMwEUhhISBvjM8/3zC3KQtfJuJxF77nnWe4KTu+DBMe+C18Dxw4ACEEOnTogC1btqB58+au96Kjo9GiRQvNDGkMw9RT9uxRljt3NtyMB7cxEY+78PUCC1+GCQ/8Fr5paWkAoJkFjWEYxoPdu5XlLl0MN+MYXybiYeHLMBGHX8L3k08+wdVXX40GDRrgk08+8brtiBEjglIwhmEiFLXj64fwZceXiVjUYTx2u9dNOcaXYcIDv4Tv9ddfj/z8fLRo0QLXX3+94XYmkwkOvp1lmPqN2vH1EurAwpeJeNjxZZiIwy/hqw5v4FAHhmG88ttv9Gw2Ax06GG7GMb5MxNOiBSlahwPYtYtcX4PBnCx8GSY84CaHYZjgsWQJ8OeftOx0Am+9ZbgpO75MxGOx0AxuAM1MmJYGZGTobiqvcxa+DFO7+OX4vvrqq37v8IEHHqhyYRiGiWDsduDuu7XrJk4Ehg71mseXB7cxEYvdDpw8qbx2Or1e82YzC1+GqW38Er4vvfSSXzszmUwsfBmmvrJ3r+fIHYeDnDCewIKpi+zd67nOyzVvsfDgNoapbfwSvgcOHAh1ORiGiXQ6dQJMJkAIZZ3FAnTsqLs5x/gyEU+A17wMB2YYpvaoVpMjhIBQ/+EZhqm/WK3AjTcqr81mYNEinrmNqbtYrcC11yqvfVzzLHwZpvapUpOTkZGB7t27IzY2FrGxsejevTuWLl0a7LIxDBNppKYqy+++C9hshptyjC9TJ7jqKmV55kyv1zwLX4apffyeuU3y1FNPYe7cubj//vsxcOBAAMDGjRvx8MMPIycnB//617+CXkiGYSKEQ4eU5Z49vW7Kji9TJ2jRQlmuqPC6qdnMMb4MU9sELHxff/11LFmyBLfeeqtr3YgRI3DBBRfg/vvvZ+HLMPUZtfBNSfG6Kcf4MnWCli2V5cOHvW7Kji/D1D4BNzlnz55F3759Pdb36dMHFT7udhmGqeNI4ZucDCQkeN2UHV+mTsDCl2EiioCbnDvuuAOvv/66x/rFixdj1KhRQSkUwzARiBCK8G3d2ufmHOPL1AlY+DJMRBFwqANAg9u++uorXHjhhQCAzZs3IycnB3feeScmT57s2m7u3LnBKSXDMOFPURFQWkrLPsIcAHZ8mTpCUhIQHQ2UlwNHjnjdlCewYJjaJ2Dh+/vvv6N3794AgP379wMAmjVrhmbNmuH33393bWcymYJURIZhIgJ1fG8Aji8LXyaiMZnI9c3N9cvx5cFtDFO7BCx8MzMzQ1EOhmEinQCFLw9uY+oMUvgeO0YXtkH8Doc6MEztw00OwzDBgR1fpr4i43ydThK/BrDwZZjaJ2DH98yZM5g3bx4yMzNx5MgRON36bbZv3x60wjEME0FUUfjy4DYm4lHn8j18WDvgTQULX4apfQIWvjabDV999RVuvPFG9O/fn2N5GYYh2PFl6itqoetlgBtPYMEwtU/Awvezzz7D559/josvvjgU5fHJ/PnzMWvWLOTn56NHjx6YN28e+vfv7/NzK1euxK233orrrrsOH330UegLyjD1jbw8ZZljfJn6hJ8pzdjxZZjaJ+Amp02bNkhMTAxFWXzy7rvvYvLkyZg+fTq2b9+OHj16YOjQoTjiI4VMVlYWpkyZgksvvbSGSsow9ZAAZm0D2PFl6hAsfBkmYgi4yZkzZw4ee+wxZGdnh6I8Xpk7dy7Gjx+PMWPGoFu3bli4cCHi4+OxbNkyw884HA6MGjUKzzzzDDp06FCDpWWYekZODj0nJwOxsT435xhfps7gHuNrAAtfhql9Aha+ffv2xZkzZ9ChQwckJiaiSZMmmkeoKC8vx7Zt2zBkyBDXOrPZjCFDhmDjxo2Gn/vXv/6FFi1awGaz+fU9ZWVlKCws1DwYhvHB0qWK8C0oADIyfH6EHV+mzhBAjC8LX4apXQKO8b311ltx8OBBPP/882jZsmWNDW47duwYHA4HWrqNlm3ZsiV27dql+5kffvgBGRkZ2LFjh9/fM2PGDDzzzDPVKSrD1C/sdmDiRO26iROBoUMBq9XwYxzjy9QZ1O3Sn3/Sf0Ln2ucJLBim9glY+G7YsAEbN25Ejx49QlGeoFFUVIQ77rgDS5YsQbNmzfz+3LRp0zTTLhcWFiI1NTUURWSYusHevZ6tucMB7NvnVfiy48vUGZo2pRnchAC2bAHS0oDFiwG3nkYOdWCY2idg4du1a1ecPn06FGXxSrNmzWCxWHDYLX7q8OHDaNWqlcf2+/fvR1ZWFoYPH+5aJ3MOR0VFYffu3TjnnHM8PhcTE4OYmJggl55h6jCdOimNvsRiATp29PoxjvFl6gyHDmmvf6dTt9eDhS/D1D4Bey0vvPACHnnkEaxfvx7Hjx+vsXjY6Oho9OnTB2vXrnWtczqdWLt2LQYOHOixfdeuXfHbb79hx44drseIESNw+eWXY8eOHeziMkywsFqBO+5QXpvNwKJFXt1eQBG+nAqciXj27vVcJ3s9VHCML8PUPgE7vldddRUA4IorrtCsF0LAZDLBEcJ/9eTJkzF69Gj07dsX/fv3x8svv4ySkhKMGTMGAHDnnXeiTZs2mDFjBmJjY9G9e3fN5xs1agQAHusZhqkm6owpGRnAXXf5/IjTSaKXhS8T8XTq5LlOp9eDY3wZpvYJWPhmZmYavvfbb79VqzC+GDlyJI4ePYqnnnoK+fn56NmzJ9asWeMa8JaTkwMzBwwyTM1jtyvLPXv69RGHg+N7mTqC1QoMHw58+im9Nuj14FAHhql9TEKoA5MCp6ioCCtWrMDSpUuxbdu2kDq+tUFhYSGSk5NRUFCApKSk2i4Ow4QnV18NrFlDy0ePAn4MKF2wAHjoIaC8PLRFY5gaYcUK4LbbaHnaNOD55z02ufpqID4eeP/9Gi4bw9QD/NVrVfZbvvvuO4wePRopKSmYPXs2Bg8ejE2bNlV1dwzDRDLS8Y2JoRHufuB08sA2pg7RubOynJ+vuwk7vgxT+wQU6pCfn4/ly5cjIyMDhYWFuPnmm1FWVoaPPvoI3bp1C1UZGYYJd6TwtVr9Dtp1OjnUgalDqIXv7t26m5jNHOPLMLWN383O8OHD0aVLF/z66694+eWXcejQIcybNy+UZWMYJhIoLgZOnaJlH5kc1HCML1OnSEwEWrem5T17dDdhx5dhah+/Hd8vvvgCDzzwACZNmoROeiNYGYapnxw8qCwHIHzZ8WXqHJ07U07fY8eAEyeAJk00b7PwZZjax+9m54cffkBRURH69OmDAQMG4LXXXsOxY8dCWTaGYSIBdUaHAIUvx/gydYouXZRlnXAHFr4MU/v4LXwvvPBCLFmyBHl5eZg4cSJWrlyJ1q1bw+l04uuvv0ZRUVEoy8kwTLiiFr5t2vj9MXZ8mTqHD+HLE1gwTO0TcLOTkJCAsWPH4ocffsBvv/2GRx55BC+88AJatGiBESNGhKKMDMOEM1V0fDnGl6lzqIXvTz95vM0TWDBM7VOtZqdLly6YOXMm7HY7VqxYEawyMQwTSXCML8MQv/yiLM+fT7MYquBQB4apfYLS7FgsFlx//fX45JNPgrE7hmEiib17lWWO8WXqK3Y78MQT2nUTJ2p6RFj4Mkztw34LwzBVJyMD+OYb5fVnn/n9UXZ8mTrF3r2ecQwOB7Bvn+slx/gyTO3DzQ7DMFXDbgcmTNCumzRJG/PrBRa+TJ2iUyfPC9piATp21LzkGF+GqV242WEYpmr44XB5gwe3MXUKqxVYvFg7c+FTT2nCfzjUgWFqH252GIapGn44XN5gx5epc9hswL33Kq/799e8XVeEr90OZGb63bnDMGEFNzsMw1QNqxV48EHltckELFrk9wA3HtzG1EnOO09ZzsnRvFUXhG9GBpCWBgweTM9uiSsYJuxh4cswTNXp2lVZfv55crz8hB1fpk7Stq2ynJureSvSB7fJsH4Z4eR0eiSuYJiwh5sdhmGqTna2styzZ0Af5Rhfpk6SmqosuwnfSB/cVs2wfoYJC7jZYRim6mRlKcvt2gX0UXZ8mTqJ2vGtY6EO1QzrZ5iwgJsdhmGqjtrxVTf4fsAxvkydJDkZSEykZR3HN5KFr0xcIbFYAgrrZ5iwgIUvwzBVRwrfFi2A+PiAPsqOL1NnkTeBubmAEK7VkR7jC1AYf7duQOfO1OETQFg/w4QF3OwwDFM1ysuBgwdpOS0t4I9zjC9TZ5FxvmVlwNGjrtWBxviGc9qw6Gh2epnIhJsdhmGqht2uuFkBxvcC7PgydRiDAW6BhDqEc9qwsjLgzJnaLgXDVA1udhiGqRrqgW1VcHxZ+DJ1FoMBbv4K33BPG1ZeTuKXYSIRbnYYhqka6oFtVXR8eXAbUydRO76//eZa9Ff4hnvaMHZ8mUiGhS8TMNWNOwvnuDUmANjxZRh9fv9dWX76aVecgr+D28I9bVh5OQtfJnLhZocJiOrGnYVz3BoTIGrHNzY24I/z4DamTmK3A3PnKq+FcMUp+Du4TaYNM5nodbilDSsr41AHJnKJuGZn/vz5aNeuHWJjYzFgwABs2bLFcNslS5bg0ksvRePGjdG4cWMMGTLE6/aRTqid1OrGnYV73BoTIBs3KstDhwZ8F8OOL1Mn8RKnEMjgNpsNuP9+Wt66NbzShpWVkesbybPQMfWXiGp23n33XUyePBnTp0/H9u3b0aNHDwwdOhRHjhzR3X79+vW49dZbkZmZiY0bNyI1NRV/+9vfcFCmYKpD1ISTWt24s3CPW2MCwG4H9uxRXlfhLoZjfJk6iZc4hUAnsIiJoecmTYJXvOricCj1OLu+TCQSUcJ37ty5GD9+PMaMGYNu3bph4cKFiI+Px7Jly3S3f/vtt3HPPfegZ8+e6Nq1K5YuXQqn04m1a9fWcMlDS005qdWNOwv3uDUmANSiVxLgXQw7vkydxH16MwB4/XXAag14AovycnoOJ4GpLgvH+TKRSMQ0O+Xl5di2bRuGDBniWmc2mzFkyBBsVHe5eqG0tBRnz55Fk3C6fQ4CNeWkyvpcihWzObC4M6sVeOgh5XW4xa0xAdC6tee6AO9iOMaXqbPYbNT9Jhk+HEDgE1hIkRlOwleKcSC8ysUw/hIxzc6xY8fgcDjQsmVLzfqWLVsiPz/fr3089thjaN26tUY8u1NWVobCwkLNI9ypSSfVZlPGbcyfH3jc2aBB9Ny7N093GdE0aKB9XYW7GHZ8mTpNp07KcmV4nRS+qlmMvSJFZjg5q+z4MpFOvWl2XnjhBaxcuRIffvghYr2MQJ8xYwaSk5Ndj1R1PsYwxb1nLVAnNlDi4+m5KvGZp0/T8+HD7PRGNOq4+v/7vyrdxXCML1OnadNGWa6MO5PXu7+ub7g7vix8mUgkYoRvs2bNYLFYcPjwYc36w4cPo1WrVl4/O3v2bLzwwgv46quvcMEFF3jddtq0aSgoKHA9clXTTYYzNhvQrRstL1oUWidVVnYnTwb+WSl8Dx4EIsBMZ4xQ/w/79KnSXQw7vkydRv2fqBS+8nr3N8433B3fcBLkDOMvEdPsREdHo0+fPpqBaXKg2sCBAw0/N3PmTDz77LNYs2YN+vbt6/N7YmJikJSUpHlEChUV9Hz0aGi/R1Z2p04F/lkpfAFg166gFIepDdSOb4sWVdoFx/gydRq18FWFOgD+C192fBkm+ERUszN58mQsWbIEb7zxBnbu3IlJkyahpKQEY8aMAQDceeedmDZtmmv7F198EU8++SSWLVuGdu3aIT8/H/n5+SguLq6tQwgpJSX0HGpBKSu7qgpfGR7KwjeC8SJ8/c0nzY4vU6fRcXwDDXXgrA4ME3yiarsAgTBy5EgcPXoUTz31FPLz89GzZ0+sWbPGNeAtJycHZlVL+vrrr6O8vBw33nijZj/Tp0/H008/XZNFrxGk8N25M7TfU13h26gRTfQV6nL6g91OWTE6dQqPmONwK48h6lAH1YDTjAwltZ7ZTLHnRmE3LHyZOo2XGN9AHd9wEpjs+DKRTkQJXwC47777cN999+m+t379es3rrKys0BcojCgtpckrdu2iUcNyustgU91Qh7g4oF074LvvqD2oLYEXiEirj+Xxio7ja5RPeuhQ/d+YB7cxdZqkJCAxESgqqnKoQ7g7vuFULobxF/Zb6ggVFVRJ9umjqWdDQnUd37Iy4PvvgQ0bQjfLnC/CbfrkqpQn1FNUe0VH+AaaT5odX6bOI+/47HZAiDo3uC0Y5arVeoypl3CzU0eQYQ59+tDzihWhq0iqI3yPHqVecpnH0ukkwbd1a9CK5xfhNn2yv+WRjcTs2aGfotorMtQhIYEeCDyfNA9uY+o8MtyhtBQ4dYrTmbmRkVHL9RhTL+Fmp44ghW9eHj0/+mjoKpLqhDqojUKJ0wlceGHNVnrhNn2yP+VRNxJTp/rvDofEUZE/pGpgm8wnLUNsfM1pwY4vU+dxy+zAoQ4K4dbrxtQfuNmpI5SW0vOCBcq6UFUk1XF8o6P119d0pecu0kI96YcaPSHqPgmJu2h0byTcMXKrQ+KoVFQAx4/TsltGB5sNkNkFf/nFe4wyx/gydR51hfLzzzy4TUW49box9QcWvnUE6fjqVSQbNwb3u2RlJ+N1A8FkAs4/X9/pq+lKz2YjsQ0AH35YMwPJvAlRm01xeH/4QVsevUZCjZ5bHTJHRZ0o2m0KcUC5JiojIAxhx5ep86gHWI8ejdSv6A+vFr7eemTC2fFNSFDagqr0KoVbr1skwPHQwYGbnTqCFL56QuKWW4IbRnDmDBATQ8sFBYF9trQU6NIF2LQpPCo96fh6mcU6aPgjRE+coGd3J1SvkZAYudUhc1R8TF4hewJ89QhwjC9Tp7HbgbffVl4LgW6vTEQb2F3C11ePTDg7vg0bUvmq2qvkq5erKtRlYcjx0MGDm506ghS+zz/vKSaCHUZQVgbIWaIDDXeQ6cz69aNKTy3wairUQI2cy6Qmpk/2JUTPnlWEr9vM3LBagcp5WgDQeWvXjpZfeUXfrQ6Zo+JD+MqbIV9TWrPjy9Rp9u5VRvFWYnI60BH74HT6dyMcro5vTAyZBUeOVK9XaexYeu7dm8zx6vS61WVhyPHQwYWbnTqCjPEdO5YyOrgTzDCCM2eUHm5f4sad06eB+HhattmospNzicTE1PwfWd4w1ITw9SVE1REEeoMAU1LouUED+i2lwDSKk7VagUmTtN8VlJsLg8krAGrn/XV8OcaXqdPo/OGF2YJ96AiHw78emXDN6hAdTcI3Pz/wXiW1KyunsDeZqu/0hkIYhouDXBPx0OFyrDUBC98wx9+LUQq4hATgootCG0Zw5kz1HV+J1aqYhnfcUfN36oE6vtWpHKxWYMoU5bW7EFXrSXfHFwD27KFzd/Ys3TDImw5vNx8ym1LXrtV3VFx4cXxPn6axb77KBbDjy9RxrFb6g6vY/+giHIQVDofvG2EhwjePb0wMPeLjA2tr3F1ZeXoCNVDcCYUwDCcHOdTx0OF0rDUBNzthTCAXoxS+sbGhiZ1SE4xQB4ndDqgn4qvpLpxAhG8wKodLL6Xnxo09hajUkw0b6ju+e/YAw4bRsnT1o6O9/wbqaaGDFkaiVuVu0wOqY745xpep94wbR3edABAVhWPDKV7J4aD/40svKZu619MVFUqkRLg6vg0aAHPmKO95a2v0XNmpU2m5usI32MIw3EILQpmFKOImTwoC3OyEGfKC2ro1sIuxpER79y3TSl1xRRCdvkrOnAGaNaPvqq7wre2UNv4K32BVhPJ7Tp7UngdA0ZPnnefp+ApBwveii4DWrYH33iPHpXt3743Gn39qvzco/PCDsnzbbZo7APX1YFQueY2XlbHwZeoBnTrRc0UFYk9SonVZj1x/PT0PGeJZTwdzoohgoo7xPXMGGD6c1icleW9rjOp6gOoNfyf10MNqBR57THldXbOnttslPWw2GqgOAB99FLw2PdBjrQvuMDc7YYT6ghowILCLsbTUM31U48Y0VXywB4ydOUOiLTm5+sK3tlPa+Ct8g1URqh3RP/7QvnfkCDUebdt6Or6HDtFv3LkzcMEFNAiua1egaVPj38DpBHbtotjgoqLAyumOFKt5W+0017T6S1R3APL4oqI8y2W3k8Mjr/HduxVhzjB1FjkKFUDc4SwAiuCT/8voaM96Wrq8Fkt4Or4xMdQWyLqzsJDaBCP06nr5Wojq35z360fP115bfbOnttslI9STAwWLQI413JzwqsLCN0xwv6DcBgMD8P7HKynxFL7x8cqgt2BSVkZ3+40aBSfGd/Fi5Y9XkxNJAP4L306dPHr1q1QRFhYCXRLsuMKciQPfa2uLw4dprFiLFp6O75499Ny5M+VBBsh1j4kx/g3sdrouBgygBraqjor6huz2AXs9N1DdAciytG2rdXwzMmjd7NnacqxdG3mVJsMEhEr4xuZnAVCEr6x/9P7D0vFNSgpfx7esTFt3Hjhg/Dm9ELyHHlJeV2VCJDWyzoyLq3774R5aAABz59Zs1iG9cAIZ0njsWPC+J5DQyHB0wqsCC98wwZ8JCrwJQhnqoCZUwrfpaTvOyclElwS7prLyFffjcNDALPcufptN6T1/882amUhC4q/wtVpJQEqq2pXWZf0i/FnSFt84B+OOJ7X9RIcPk+ht2VJxfOU53byZvrN9eyXl2dq1wOrVdO3o8e239CxDDGWl6Q9GITe7RSd43JOp7gCk45uWpjRk8qZO72ZOiMirNBkmIFTCNyY/G4Cn46sXFiRd3qSk8HJ8y8qUGF+14wt4F74A1e3t25NwzsoCLrtMea+6cb75+cHZj8RmA+65RzGUDh4MzU26XrtpFE5gJHyrG3Mr08q1bevdLQ9XJzxQWPiGCUYXFKAf/+WOkeMr08UEC7E0A7vL0nDDvMH47Pc09NxG/0h/4n5kWdyFLwD06UN310YVfCiC6R0O5cbAn242KeTuuaeKXWl2O65bczfMldLRLJwQEya4DurIEcXxPXYMWLJEOafTplHYyo4dwH/+o+xSCCA72/O8ZGQAo0fT8osv+n+M8rNGITdH0AIa49vtDqCggK7j1FSlAfJ2U2cyRV6lyTABkZbmWozJywKg/B+k8PXl+IaT8C0vV7I6qIVvgwa+hS9AdW5ZGYVgSeMBCD/hC1Ab0bQpLc+cqbRtwWqP9NpNb+EEsr2Swtc9fKxtW3odaLlkj0JpqXczJ9QD52sKFr5hgnvXisUC/PvftOxP141ejG9VHF+vf2i7HZg4ARbQP9ICJ8ZtnYDDn231K+7Hm/CNjibRl5vr+V6ogunluWnRwrcoLCykmFSAfgtvv4faLdWcy/nz4RYtAZPTiV/HvQJACXVo2ZLO4d13awXjqVP6sd+A1jV1d1jlswyX8IavkJsU5CkvLr3U4w7g1ClqqJs0URpzb7POXX115FWaDBMQKsc3+lAWAE/HtyZDHaor2vQc3wYN6Ab2r798f4fsFSoq0vZC+SNYve03FML34EEgJ0d57XQC48cHpz0yErgbNhiHE6gdX73wMSHotbpc/vzecr/Hj2un09Zj9GilPv/yy5rtoQ0WLHzDCJsNuPFGoFs30hMjRtB6f5w6Pcc3Li4w4etTYO7dC5PbP9ICJ1oM748ZzqloA+Wf5XAAGzdqP+5N+AIkgNz/nKEMppduQ+vWvs/xtm1UqZhM3hsh9Tns3185l9/fuRh44QXdz5z35Rwc/myrK9RBpsbVE7h64QIAcM45yrKRw7prl3G5fX1W0tZ8UHnRq5eHai0ooNhvdfy31Qq8+qp2P927U47h3r19l4lhIpomTShHIYAGBsL39GlPV1e+TkwMXk9YMEwE6fiqY3yTkiiE4cAB799RXq7Un0VFVAfL9sCXYPVV9lAI37w8z3VCBKc9MoqXNZmMwwlke56baxw+pi6XFMF650x97ci2UAgllM6IgweVckdF+Xes4QYL3zCjWTNlhK8UiupMAEZUN8bXL4HZqROEh2cJmAA8itnIQSpexBT0xVakIxOzbt6Kz6cqtbI8HvdySlJTPSuQUAbTByJ8v/lGyZHsrRFSn0NJb+dWXPzW3Yb7tkCgxfD+eCR/Krqf3oq0vzLRF1txOTI1NxNq1IMBAe1oaiOHtVEjwyJ4/azJRMcOANPuUJVHzo6h4tQpKkvjxtoG6Npr6fnFF4FBg4AuXeh7OJ0ZU+cxmVzhDlGHcmCC00P4Ap6urzfH172LW08Iuotiozreo2fKB+7pzNTCd88e7+2Iui0rLKR2KzmZHt4Eqz/t0+HD1H5WNzWamrNnPQc1u1PV9qjyXkiDxUJpSCdP1q6T4QTSmVWLT2/leuwx/XPmfhPx5pvK59QziOqRna0sB3OQXU3CzU6YERenCERZ2VXV8Q1E+PolMGNiAIvxJWMG8CjmYAv6IxODsRn9MWz2YIjKwCOxhQRxUqF+DWu1eoY6BCubgh7uwtfo7jkjA3j+efo9cnOBn37S3879HLaBHTMxFZvR3xXXa4QJwCNiNv4+sz/a3DEYW9Af6zAY2UjDWGhbNIsF2LSJGitZYakbTb04LEARr95w/6zZTPHXAwZQT0TxbpXjqyN8CwqoEWvUSOtiHT9Oz4MHUyjHqVM8gQVTj6gMdzCXl6ElDvslfI0Gt+l1cbsLQT131KiOv/DCwBzg8nKgVYUdXfMy0ajY7uH4emtH1MJXOr4JCb4zBPlqn4Qgx/fcc4OTGk1SUgL87W9KHWoyBac9ysig8+6+Hylw5URHN96ojSZLLrLjcmQiucjus+40m/XP2caNnjcRzzyjbOOv8DWZWPgyQSIuThG8UgD78yc2ivE9fVoRdN66xfwarXn33TBV1tjeZJzJ/bky8KjLnSSILxiuH4GvF+pgtVIcqLpMwQqmVwtf9UA3NdJpULNunf45bFxClVJfbMVMTEU22mIqZuv+yYzOn/u5s8CJJZiA/qat9Lry+Pv1A9LTldz47m6JzUZt7c03K7G9/jYGNhsNPAGoMS0uptzBl1wCFO3yLXxlqAOgNGay+6xpU3qvoICnLGbqEao4337YohncJv8D7v9hvcFt3jKkSCFo5I42bKj/fwu02/6KrAwsWJ0G29uDseEQDXBOSqL43rNnPbdXtyN6jm/Dhp49RO74ap8KC6ndlBlsghXucPIk9VBlZVHIyaOPamehrkp7ZNQzuHGjInDlDVF8vGrfGRn4rSgN6zAY67PS8OXNyl2K2QwMHartCXzhBf1zpg7VkKhf+xKz2dlA8+bkrrPwZYKCnuNbUGDsRkqMYnydTqpAfcVH+Ryt+fvvwAcfuN43wbv41cNdCLsXJDWVjtV9sgUpUPWm+a0OauEL6AtDPadBLwXX93dl4PzhVCltQX9MxWxYDM6Q02RGwf3/gNPPv58ZTmzChdg5JcPj+Bs3pmejwTHnngt06EBmvb+TWAihNBxbt5JwvuACalgTTimt4qoNnrW9OtRBXS7p+DZtqkx84nQGNxE7w4QtqhlpPsINaP0F1XtFRcr9ozfHV7YF3mLwpRA0ckezsrSiTU8E++y2t9sxde94mFUDnO/aNBEpDjsWLtQvk7odMXJ8fQlfX+2TjO8991x6DobwFYJ+k8aN6XvOOYfKf801ShkOHAi8PTL6DdUZLmRdLetN2O0QE7QDy69YNRF9sRUfP5QJ+yY71qwBfvuNnNgZM8hbUg+YN5nonF10kfFEIoB/jm9aGglfV/kiDBa+YYZa+Mrns2d9p7MxivEF6I/m7gBMmACsWqW9u7fZSCSlpuoIzEce8fhOE4AVGImKql5GbhaDrMTUZSorA7Zsoa72kyc9xX118Ef4GsW8qp3wvK12XPSGUil5CwlzwIz/Td6ERq8+h3+2WOy3+DUJJ7rOnQBr3lbNeums6lX0xcVKHFliov+Ob2kpNbR9+1JYh9NJ4Qn/+Q/QBorjO/bJNh7ukLvjK8t1/DgNhEhMVLo12fFl6gV2O80xXokZAt1fo3qvqIjqW8B7jK/TCVRUGMfvq4Wg0Ta33KII6MRECpcKOCfr3r0eYVsW4UCb0/t0xdyKFdp2pKqOL0D7Oe88Wv75Z+1+QyF8i4roRkDexLdtSxkesrLotcNBzmegGP0+sh2S390GdqT9VdlFu2GDx8Byk9OBTbgQI14ejJQLyUTq1o1C02Qo3NChJFLNZhpjOXYsXSNz5ij7sViUc9mwoX/Ct21bdnyZIKInfAHfosUo1AGgaWH1ujZGjvTM+1dWRu9pum6mTwe++srjOytgwVTMRjtkYyamoAJk38lq0S9HWGUxyAZALabWrKHK+v/+j17LlGLBwB/ha7UCTz+tXdezp/b8HP90g0v0ekOYLZiAxSjvQXNrru9gw73XZmOWv+fO6aQ7ANUP5h5S4Pouoe0FSEryX/jKykxmFQGoIXE6FeF7Ao1R4ozzcIdkjK+e49u0Kd00yFAHjvFl6gV793p02ZmdVO8VFVFYkcXiKdbUji9A9aDVCkyZot2uQwetUeHujkqcTuDBB2m5tJRubF95RXlfimdAJyROxsn9/rvHfh2woKJdR93/cv/+2tdS+DZoEJjj6/559/EKctY2KXx9ZSbwB1l3yTq2bVsSfepcxVWJJbZagUmTlNfyvKmPqdN3GchGGubvHEwN48iRHvsRgNLuSDdr61Y0bQp8+KHSu5uVBdx0E9XBMuytSxd6btCA3pe/U9u2gTm+LHyZoBAXR3f2FRVU0bWBHenIRMluVS2kM1y3b1EmWpRr7TcpfFNSjAWGe9SBrIw03/Wvf3l+zmxB4axFuHWKFfkWKx7DLJxjzsLqKZkwbdmC12/ORH9s0RXEGlQWgxSg6gEaN9xAy9Om0bM/Kbn8pbiYKpsmTei1USUmBxr897/AVVcBrVqp3szIwHnP3uL1e4TJDEyZguPbsrAMNldD1rw5sOOYFY9iFtohC+mgc5aOTFyLT+HQ+3u6/WANGtBdul58oMOhFb7+hjrIik89kvyuuwAThEv42mHVdYdkqIOe4ysTwScnUy9GcTELX6YeoGPxOc305ykq0vaCqJGOb2IiPUsh3KED7e6rr4Drrydd5B5jarOR8HFHGiAOBxkr111Hry+5RHEyL2prx78GZ+KitnaKRFuyhBTR4MHAAw947HNr9EXomJCHTydnoq2ZKm95uO4xvwUF1MY1bqx1fH0NbgOo6pN1k3sXe34+1eWpqXRz7StDhD9ZLOQ+1I6vkfANNK2cEFSFZ2YCn37qdkx2O677bLxPM8WjZ9HphBhwIaxfZqhXAQD+/nc6L4sXUxm3VnYcnj1L7ZDsMW7RwrvwFYJcbxa+TFBpUmrH9fgAZ/bZ0SGT7voyMRjt0tOAWbM8p2kZMgSibeUUuE9oY2al8E1O9nQJ3JFRB0mFJKJFbuU/+Ouvdbc/tXAFmkyxYdYsqjAzM4Efs624ZlY67Cn9cN976fgJ/fBYpai7wpyJN+7ZgpfwoFYAP/ecq9aOjqY/03ffKVPlSqNE/oG3bAnsfHpDhgJIIWokfGV43vDhVAm6BGHlKAWTm6R3ubZmM2ZiCj6bnw3MmoWTCXSc8vuaNaN9mc3AQVjxLeicfYt0fI5rMQGL9cUvoAkT0Ws05M2Lt1AHo8paVmbqtMOthR3X4SPEgFrjQ2jjMajD6SRx3agRCe6oKE/HF1BE8dmzLHyZeoCbBSsAbBtPfx4pfPUcTyl05X9Yvt65k7T0lVeSUDG6odWLn1f/3woLlf9ndDQ9bx63GAcEtTkHRFuUjLsfYsJEr4NMLiz/Hvf/lzL4ZCENO6dkYNMmpaxqZI+QvBEPxPEtLvbMEiPJz6dwLLOZ6hejfQWSx1hP+BYX0+yZ8nwVFhrPvmYkhO124OOPabrm9HTKlqM5powMjzbFX0zCiYWY6JEGc+NG+gnnzqUyvv++cn0UFiptYfPm+sJXHs+XX1KblZDAwpcJFo89huH3puJD/B0J3driipXKXZ/J6aQhpe7TtKxdS4PFQBe97O4AlMTgpaWKa3nZZcZi4y7HEmSDRDTaVf6DP/nEY7sKWGC+aKDrtdVKf2ApgtyD9w/CinXOdPxk6ocn4l+G6fzzlTf/8Q9X7ZORQX+k5cuNZyj79Vfj0xco8s8uHZXCQv0K68gRGhyWmEjPrnhrg1EKp55/nXaSlY1n4mdhf5nVtX9AybnbvDlV/u6DNkaPpudlsOEi0yYIo0SSlWEieo2GzPdo5Ph6awBkxUehDfbKDBVp+BD/59rm0lvaeAzqkCnhkpOVkAY9x1edT5gHtzH1ApuNRhWBnLqc3tcDgE/HV+bLBZQb7j//VLr0ExONhW9xMX2l/I+ZzeT8SQoK6NEGdnS0Z+LEsvexCBNVA6gE7sdrfokw18BlpxNdX5qIvq3sSEw0Fr7yRtw9xtfbIG61yNITvrInzkhEBzoZkrvwlTNPf/edEmu8f7/nPr3N7Cbr3YMHgcy37Ph8aiaaZ1GaT+fmrZTA1z22LkCi4EBHaGPQ1CEtTie1o/Iakr9DQgK1Se5iVt1WyAxLEydShCIL3xpi/vz5aNeuHWJjYzFgwABs8WEB/u9//0PXrl0RGxuL888/H59//nkNlTRA7HZg5kxN5oMq3fXJONCMDJfjW1qqxEZFRenHf7WBHYsx0TVwwST/wR99pN292YKJWISYc4zztxilnmnYEOgQbdfGiVXWPnlb7Zq0YXoVoMkUvDnSAUX4yuk3v/xSv8I6coQqBDmRg8vx1clA7jBZ0PiOa4H0dJhSrWjdGjh0iN6Tv4E61OHoUWoT27dXcjYuX6646O/n9INpyRLjES0dO+o2miUl9Ju23p0JbN2KAaWZiD5CJ02vAfjXBDuOrqJtYzdm4pKYrZilSsnm3u2W0CrRtSx/ExmGIoVt48Zax1eGlKgn22DHl6k39OjhWkw4SMGW3oSvempg+RogMakWvprQNBVHjlAIw4EDtI9p08i1lBQWAomrqFdx0Z7BOH/6jZ5TqlflOB0OmDZtRNeugTm+FRXaKYzdUTuR7sL3wAGqDu12Y+Eb6GRIch/qGF9ZDvlT7t6tn/VHT1zLejfFaccsPIJstMWw2YMRfzml+fzbk/2Bl14yPgEAKmA2NkIqccKEUigDflJT9U0k2QwXFBg7vkap15xOco2LinwPvA9HIqrZeffddzF58mRMnz4d27dvR48ePTB06FAcUaWKUbNhwwbceuutsNls+Pnnn3H99dfj+uuvx+86Afq1zt69wduXEMDEiWhYmXqqtFQbi2Sz0cCGc88FUk0UQzwOSz0nWXBXn2YzPnl8I5bB5urq0UP27Mn/pxw0ER0NdGvgOdADDgeOf7bR60w0FgsF4GdnV326TXfRrM56kJAArFypX2EdOaJMI+wSvjoZyB2wYMUgbf+/Wvi6O77NmtG68nL6jgsvVD6qcdFtNjrwhx/WHtDEiQD0K/rY/y5BDtri/AcHA/3748nMwVixkU6aewMwFhn4y5mG5iNp25teH4zvyvpjipeUbDLpsdoNuPhi7fHFxwN//EHn8MQJfceXhS9Tb+jc2bXY8CCN0vUW6iAd35gYen3mDG1vt/vn+Mp6KzWVvvrECZqCVw4iLttvxwWv+ZeNxh2nLwF2yy24y0EhD2qTwpvjC3gPd5CCLCZGK3wzMoD164ENG6guKi3V34+RIZOQoG+mnD1gx7C4TETl0xutWtFgMIDSOwIk4H3VYXLSiL17gbucGchGW0zBXMVkqtzO6/k3m7H3+iloh2wUz10CR+W4Gae5sotQVQgzBDabL8TUJtRAykmh5Hgh9zCI/fu1ju/Ro0oT7S19nlwfiSnNIqrZmTt3LsaPH48xY8agW7duWLhwIeLj47Fs2TLd7V955RVcddVVmDp1Ks4991w8++yz6N27N1577bUaLrkfGOU4qSoOBxLy6FbWXfgKQQuLkqa6Yoin4xnjfUmcTojiEkRH+y6qzUaGsdWqjDg+fRrIa6h/nOf9+xaMM3kq2euvp0pp40YlIL+yKD6TrauFrl7Xvlr4xsTo6nHs26cVvs3L7Lji+CrP22CTCTdZN+K3/tr+/zZtqFsL0Hd8AUr8XlKiOx+EgtVKAVqVYhcAsGABkJaGEUcztG6R3Y52MyZ6ph0CnbSuDe2umxJy+id4OLo+G8ElS3BidoaHcwzQ75yRAfzyC/D553S+Dx3SDm6TsPBl6g1yKD2AxPw9KCujOHdfjq8UvmVlwLff0rLsPZGOr7s4kSJZ1lvnnEMC59AhZZKH2O++pPA4fzGbgU8/xRXmTLz9fDYOTFtiPHDZ6cSE7RNRtMuuMSnUjq+MLZUztwH+Cd9OnRSx5T7BkNNJPU95eZ6ft1qBV19VXlsswO23G8xcl5GB8c+lYfVp5Q2zWTEmunal3tOoKODll7WnSO9+4JZbgF3fyLrW/57cCpix7bFVQHY2tt40CwdhhXm8Ddd2p8HQm1ZkURfh+vWaz5mcTsw4MQHD8BluxCoswN2utj4bbfEiproE8O7dWuF79qyiF7zJErk+EsMdIqbZKS8vx7Zt2zBkyBDXOrPZjCFDhmDjxo26n9m4caNmewAYOnSo4fYAUFZWhsLCQs2jRqi0SYXbVWb4F+nb1xW8JWCCU0eqRDem7o7Tp5ULubQUKHw5A5vy2+LSzbNdFZ9fd/sWC44md/Rr6luARh+XliqVxenTQGFSpR3sdpwmpxOLTBNdo4Il111Hzqde5e6tm0otdAem2vH2uEykOGnfUjQfPaoI3yZNPCsss5kqgyNHgC4JdmDqVDy+MA2vHh6p379VUuIR/eDu+KodnGbN6HnHDnr2Knwlo0ZpXzudGLNxAqKP2F1C/+h3O11x3x44HEgp2YfbbqOXnbDXr1RsHgiBxo9NdJ1TNZs3ezZGpaXK+VXPIMUxvky9QeX4JuXtdoUoSMdXL8Y3zWJH4x3k0r3/vpJicMQIquPk+AT3EAEpEuXNdYcOQOkeO9ruz8SVjWhmyT6vjzMsqkftYbEAixfDcfW1WOdMx9mWVhTdbHNlo8l65FWPfchYU7VJoXZ8jx2jOlzt+BrNiimPKTmZnFcpfI0mGNLtBLbbMdikOJ5LlgBvveXZy3f4f98C48bBLFRvTJgA2O1o2ZJWxcUp4n3YMFrXuDF1zI0d6/nVTifw/guB1bVOkwUTsRh/dLsJsFpdv/E77wBrfqfB0JfeaiWxXlHh8XkLnPgMw/E/jMQkLNLEbj+K2chGGsYiw3XzJEMdAOX6ce+9de3bAvz737TMwjeEHDt2DA6HAy3llVdJy5YtkS+zV7uRn58f0PYAMGPGDCQnJ7seqbJfqCaw2XDwvU2aSkd3hjSzmRL1VQaCfvffHIzHEg/R3ODSCzHenOGK8W0DOybgdSRNHh/QXafrOxctwrFYq9/Ct1kzuoOX/8nTpysH3NlslNnc/SucDvy0ch9uUWUHs9mogvdrSuVK1HFJY5GBLNCMavKPDlCFe/y4InybNVOcWInTSW7AlTtm4qX3U4HZs5XK0B2LBb+d7uhqiCTuwlf9HbKS+eUXevZL+OpUcGY4ce1fr7jSEL0xao3x5ytPWrt2dD3cNuSof1eCjo1hcjrQ2eR55/H44/rdYzIWTA58A9jxZeoR7dq5+sqT8ve4QhSk4+vudvb4KQPf56ahzR1Ud52cnaHJcjNxovKf0oQ72O0o/ZymTu+QTV1e1+QtxbdZbfFG7mBM+R/NLOn+j5b1QAUseAwzcfarTEqjk5np6raTKdbkoDuZjcZx7Q0edUQFLNgHqqClSSHTHSYlKa5sQgL1DAEUzWUUxnb0KNWZTZsqYstogiF1KkYALifk3HsVx/Pshq24zKkI4Taw4z+O29Hi5nTPL3c68eu4V1zZKu4cbMelFXRupQgvKKDUoZ07e+YZBoA4Z6HXutb1ntmM12KnYP7ULKyMt7n2X1pK+737bk2xMHGicU+qN0PLAicWYSKSCu0ux1eaMWvWKDcgNhsd04gR2svhnnvofT3hG8yxOKGAmx03pk2bhoKCAtcjVwbI1BBxjmLdAQZOk8oiW7yYbsUqA0FPxFuxDDYUrNmk/aDTiQXOiTAfsmPA5leRg1Qswj0+B83pCu1NmwCbDWfOKI6lL5o1o7tvmUy8tFTJNKE7b6KFEqGvWqU5BFfvvtcplVVIF6AvtmIJxkM9zeNiTEBfbIXFUjlRB+gf2r6BHQUFwLmJdlwOajTSkYnezi14quQx7464xQLn64uw74xVV/gWF1PDJN0OibvwVc/cY0inTroi9MGKOa40RI9gru5HBQDnS68AVqsrVd74b0Zqjk24PcNMOYixebPu7zVisuedh5HZLOMSAeU8sPBl6g2qO/VG+btx9odNSEcmmp5WUhK6/jtbt+Kmr7V1lzpNVRvYcakjE2cP0GuX8K0UeF3upqnTO99NaS/T35ngEVPqzpFnXsfL12WiHbJoYGv7dKBfP03KHil81SEYABDf2QrMn+96LQAshNLtI3vP1I6vbBdOn9am2zQKY1MLXykGrVZg3jztKf6///O8EVDHZEnHc/zS/q6u/y/wN+QgFXfgbcPzc96XczEMn2EmpuKASMNHhYPx6II0xL2T4Sr38V/sSNiSiauabnW5yzIzzse4QbtvWbdu2YJZwzIxumulqszOxhQxC7BaNcdaUkLnXa/nc3eJfk+qL6LgQNIfGynUTtix63Uq8/33KzcgZ89SON7f/qa9HJKSKNTDWxaIqozFqRFEhFBWViYsFov48MMPNevvvPNOMWLECN3PpKamipdeekmz7qmnnhIXXHCB399bUFAgAIiCgoJAi1wlTv2eKypgFoLqQCEAUQGLeGLoFiEyM4XIzfX4zFtv0aZla9ZpPicfn137unDqrFc/5PtnYRHLMFo4zBZ6z2IRYulS13c9+qgQnTr5dyw//ki7+OMPen3ddUIMG6baYOlSIUwmpRzjxol1+ocgMjPpIwMGCDF4sO5pcJGbK8Q4LBEOg2OtgFlsunGmWNroEeGkoADhAMQ3SHedB/lstA/NY+ZMUVBAi+++qy3Ld9/R+p07hZg4UYjevZX3nE4hoqOFSEkRomlT/86pEEKIKVN8l0k+zGYhrrrK9br08aeF+OQT13GrH+txseiLLWIQMsWrd+hcb0uXigqT9rq4/346BqOvBpSf+PfflV316kXr/vOfAI6bYSKdnj096lyn2Sw2T1gqACGKioRnvah6TMDrYiamuNoIp8ksxmKp2LpV0H/VbPZdJ+g8zsIifv08V9x6qxDt2tHqL7/0LP7hw/Texx8LkZen7KKoqHKDiRM96tpHMFOkY51INeWKqCghXn6ZHnKzV1/1XucLQcf2+IB1YsyVueLJJ4Vo00Z5Kz+ftn/uOToFixbR6XNk5wqxbp3xF1ThodeOOkxmMQyfipmYIpwms1v7YdJtQxwwC7Fli+sYHn9ciPbtabm8XKkbe/YU4u67af0//0nH7f4TWyyqanrLloCvAYfJLD5NutXVJlSArim577VradP16z2vh1athHjmGc3P5L18IcZfvRYxfkt0dDT69OmDtWvXutY5nU6sXbsWAwcO1P3MwIEDNdsDwNdff224fTgQ29GKCVhMozVB6bEW9FiEHQ20d96AtjvBZAIadNPv7rj6s3uMHUuTCS9FTcGKh7bg/fsy0TUmC+Mty/HfZ7M0XVySM2f0u3H0kN0m8o7QFeogsdmAd99VXpeU+Axp6NSJuvf0nF55Pix5diw2TTDszrDAiQHvPQrbqTku99sM4Aqs9xhh69cfZNo018x6eo4vAKxeTV17asfXZCIHIy/PzzAHyYMP+n9n73QCl1/uehn3wtPAiBG6rv8l2Ig8pOBbpCOruef1BpsNL96dhVGt6bpYKmyYN09xgdRYLDQgMS6O5o4HlMFtADu+TD3Eble6d6DNfdtvKbm56960Q6hn7nFjISZp0guaBHVXnz1g9z4E3wsOUIrKY7FWnDxJGQuiosjlUxe90owEoE2zZjIp+cJx552afVvgxCw86poQ47mKqYg7btfUkxc00cbeAm5hbJUW4ozNg7H067a47oepiD2mbFtURA741bGZsMKOxo2BMSIDpvZpwODBEDqzzVUVvXbULCiWdio8x8yYIXTbEDOcmsBstbOrDoFxd3yTk8nYlWMjPHo++/XTbqApvAkYOtSjx9AsnLimcIWrTVD3jDoclLcYUHIXq0lOpjEq0p0PNGVcrVEzOjw4rFy5UsTExIjly5eLP//8U0yYMEE0atRI5OfnCyGEuOOOO8Tjjz/u2v7HH38UUVFRYvbs2WLnzp1i+vTpokGDBuK3337z+ztr2vF1Oulu9b8v5Ir7umeKh27MFbffLsRll9Fd07p19Lx0qfbOqkGDyrsq9zd8uYFbtojWrYWYPp3umJs3FyI5WYiZM7Xlkt99221C9O3r37EcP05f8/779PrSS4W4/Xa3jcrL6QsBIRo2FOLAAbF0Kd0lqoxFF//4hxBt23p+l/qwB5sMbOMgPIwc4Ow3MgVADq+aBQu0m/bsqX2/Rw9af/XV/p1T9QE7/fmdLRYhvv/ep+MvH4NAx7F4sf7XPv20EK1bezeX1L/ZxRcLERVF68vKlP1cfz2t++9/AzxuholUjLqzKh83YpVIR9Xqrq2PrqIK3I9tZV1QAbN4K2WKGH1FrgCE+OgjIfr3F2LsWCE6dBBi6lQqtrpulc/r1glRWkrLycn+H6OodBi33k2O4lgo9Zh0GjV1vkFF4wBE2YNThNiyReTfPlk4ZA+WySRyhk306DWtWl1vUvYb7HbEpLVBly2jt8rLhcjKouUvvxTi5puph1MIIcaPV9re3FzDDmDtBlu2CLFqFT3kxu++61cZK2AW40xLxUMPkbPrztKlyuZmM73OzfXsrAhHxxc1U5zgMW/ePNG2bVsRHR0t+vfvLzZt2uR6b9CgQWL06NGa7VetWiU6d+4soqOjxXnnnSdWr14d0PfVtPAVQoj4eOoK6tOHeo7uuUcIq1XbdazXEyYvPn8ubAfMrtrl3HOFeOghIaZNo+6WNm2EeOopKktuLvWsq7+7Y0f/jsPhoIt+4UJ63bcv/Xk96NvX4yCM/tivv077PHtWWSfrxjbIFelYJ67He4aVfXUf28a/7lmpWizi50+p8fj5Z89yqTc1mbTHNGQIrR83zr9zqsHgd1YatsoWxI/GSIC6O9uAjsNdwEtefFGIRo2Md/nSS9rju+ceWp+YqN3PXXfR+nfeqcJxM0wk4iMUQYYFVKWu0vuM3roKmMU1+FTYzskUt6fniq5dlf/oG29QGNuUKVQv/f3vxj3nH3xA9TsgRGqq2zEahGloylYZHuBel56FRexeq6pA/Ky7Anm4wkSMtjGbhXPKFNHWnCtmj9ziCl8I1uMsLOLbO5dqLo2PP6a38/OF+O03Wt6wQYhJk8gcEUKIUaOEGDQo9Neh+uEwW8S4q3LFFVf43oUUuGlpmlOpMa5CTZ0LdZDcd999yM7ORllZGTZv3owBAwa43lu/fj2WL1+u2f6mm27C7t27UVZWht9//x3DZO6RMCYujsIC1KEBdrt2pmIhPD/nGuHZXmfgGIDTMcn4z1UrcRNW4YVJ2a4QhuRkGnQgk6k3bEgDsjIyaLYa91mS9+3zb7Sm2awdgesR6iAPbNs27UFMmABr3laPnnaAyuNwaPM0KonBaXDX+7hR8xlhtmBDp9FwBDCWU+f0AhYLTl58LSZgMYRbX9OJeCqougvPKNWOOpueHOAWUKiDRGeAoANm/D7jU8y+JhPX9cii37hTJ4+MH67yuD5H3Z0HYdWUy534ePod9cbYWSw0+5z6N5OJ3tVhDgCHOjD1kMrcUEa5by1w4kU8plnnhEk/MawbelvorbPAiWI0xLK/0rGr2IqCAqBlSwpdKCigzBKNG1P+3++/N546/sgR+u9GR7tlw7FagUce8V1e4cQnGOGR3isKDjh+UFWQrhiK4FABCy7EJgw2ZeJC0xasTJ3imgxCmCoHm2Vn4/X2s5DjtGLKu/00oYfKAZggvAx51m0/AJTfcDPaIQv512jzvcv68fhxz1AHOQhQZl6oNlb/B8KZnQ6U/LIPycnaNt8opOGLLygcZvp0uq6uv55S6YVbdgdudsIQtfCNjdWPoTRCM8LTrcKMLStEsrkY7+EmiDaKOpHCV+bya9iQ5j73Emrmd8xOs2Za4SunUXaxV2cmN9W0y+7IaSNzcpR13Uq02RvkRS0AvIZJ2LIqCy90WY4LsQlOt0teADjUaZCrMaqAGb8OnQLTli34pMsU13p1MNUy2JD7XZYmBlpdWUmMkn/fcotyaDIOukrCV1ZgMp+zxYIJWIz9Xa/F9qR0lDRWpoErfcmzwXWYLHg6fiaQmYnre2Zh10VKZWx0zcXHU4x1SgowTpUG1CjLhpzaMzpaW/lxOjOmXmKzoU+TLPzXlokvhi/weNviJqcETMDMmZ5i2Q8x7IDZ4w8mU4wJQfWyTC8m24CTJ4E//6RcsUeOGNf/HTrQc0yMZxpIf8cgGKXU7DJ9JOXsuvtuj9kxq0NF5c39T+iHTJGOLaIfbMdn4YW7s3A5MrHihWxg1izYYcX99yufWypsaI8smtJd5vPKycFn13lO4OGAGTMxBb89/6luYvhjj8/BQVg9zpmR8LVY6Hew20n4erSfVcVmAzZ5tofuOM0WfJfXER98oM3QYJRGTmZgevZZyo3/wQfhmd2Bm50wRArfM2douV07z22M6j3XoACbDfjqK7ecwAIjPqdBFE8+qVyISUmeju/hw8bjJEwm/fy5eqjn/tZ1fI3UoRCkvD/7TJMQUKZVdmWZy8hAyxEDPKdbBjked2Mxjh4lIf8T+uHp1opQdMCMHbfNROs963F0SxZ2vJSJo1uyccGaWUC/fvj9zlloB2UwF2w214COksZWzeAvdTJ6idGNtTpdj5z62d8UcR7YbK58zo59WVgGG06c8HQH3o5Vks33xxakIxOLp2Xh+fKpEIPS8UeBVTPwrlcv/YpK/n6nT9McKgAlnXcbA+lCmvl79mgrP/ldPIEFU984Em3FgbR07LAO99kLZYET6NsXF7emeqg/tqB0daZ+ekEVDpjx8bDFNCmSRd7UK706JhPVEadP001oUhLlG3c4SPQaIdsdaUA0aEDprjSOntsNOcxmHLpgqN89bmYIuotetEijvJ2AV5fViAqYcBNWoR2ofqwsEoDKCZYutGJ3SjoZRtB3M3OcVvzRPF2Tz+uvy204NzYLEztnYsb1W/Ds4Ex0jMrGY5iFmP+7FliyxHXunSZKQ3oygb5DXdcCivBdv57qUgD4+GPgX/8ioyEtDThwIMgGeL9++GiYYojI6Y+dJsVImSiUXkB1u+Xetsln+XM5ncDOncpX+TPTak3CwjcMcXd809I8t3n8cXoeNcrLCE+LxaOakLPpCKFciHqOr9nTLHDRv79+VgU93B1fD+HrrdvF6QSGD9fcMsrk5zk5UPIzGtkSlcdb9sc+5OdTpf0fsw0rZmRhsCkTachG35VTkZEBpPSzoudD6UjppxxYjx6UoH1Ho3TYK//8UqC6J0gvKqLz757xwmCuDjgcwCuv0CzEADBmTDXuiCvzOUe1I/Eqha+cnMNuByZNUpLN/4R++BbpqGhlRUUFVf6HD1PScolRRSUdh9OnlRulyy83zrKhHlCt3ic7vkx9xWym//9BkxXPWnWmxVLhMJGTcTLBiv8dTcfOhH6IH5aujN7X+wOZzUiP2YTcv9kAmw2mrCysnpKJc8wk/CwW4O9/V+pl6fhKweWlOsVNN9FzdDTVVydOAD/9pOPoqW7IkZ0N5+o1uBCbAgo38zgsACPxLn4dquqJq6QCZspY4JrNVK634IlmS3DloptcAs5iofA9SZcuJOSlmWIUxuVu9iQlAfvOWPF5aTqKz+2Hkz3SkVVB39G6NVznfky7TDx5RxZgs7lmUHV3fD/8kJ6fekqZoOLhh7VCct++KiXt8Mq+QYohsnllFrB8OV5+KAs3NcvExncoc48adYYGmw1YupSWFyzwft24f7a24WYnDHF3fNV/Etl1XFBAwuY//1HqFw/XrVMnZeKLSvRm00lOplnF1I6vwwE8/bS2XM2akRPYvbv/x6IWvqWlVLl43PVVdrt4VUEq1dS2baXw3bDBZ01QAQt2Ozri8GFyzk+dAm5/3IpMkY6DsHq9E5V3rH/+qVTsUtjKGZMkRUV03vTaML25OsxmEr3qii0Yd8RNmlBjVFysuANGWY5KS+k5L4+W3SsuvYpKCt/SUuWYjfCW2oaFL1NfsVjof1BUBKxtZwNWrtTdzgEz3rmMnIyYGHJWU1JUG9hsQHY23mw5xeXSwWJB/r8W44eyfkpvitWKa2al48dsq6udGDJE+b83akRtgExVpveftFjoIbvhjx/3nJbco/6yKr1iX35JPW4TsLjK4rcCFmzAQPT+ZhZ6NcrCW2Mp9OCtsZno2zSb7twrG8Mjn27Bjpcy8eLdWVhUYUP//rSPV1+lTR56yDWJHhISqCdRCl+rVZuVzSiMS7bLBw+SY9uqlbI/V8+f1Yr8run48g8r7HboCl9pTEjUbYI77u1OdUlKUgyR6A50gA3aW/FZcTraXmT1eQMgtUC7dr7rcqOZVmsDbnbCkLg4EhYyZ666W+T55+kCW7iQupobNNDUL1qsVqy6YrEqflU7gEleiHqOb3ExcMkltJv//hd47DGqrIUIrFtehjosWUJxo/PmGcT7eHMwJA4HsHEjejW344ovpgAjR3ps4oTJNZCrAhZMabgIm+xWnD1Ld/bFxf7lGbTb6Zhd+62s2OW0onqOr3sOX4l7z5/FAkyeHJp8h1L4qkMdjKJJ5Exqe/fSsz8uh3TsS0vpXBods9H3qq85APj99/Dp/mKYmkDOGumqMwzujG9rvwk/9SAnQ95wa4QvAFitWN5tFu4fngVkZmLFjCy0eYo+8+CD2npW3U6o2xTZiyYd32ef1UQpYMoUei8tDdi/n9arB1tLjOov2TEHAMtg03d+TSYaXGaAuu1yOIAT8VZ8XJAOe0o//NE8HcWNlPEMSE9Hy2v7oedD6eh5rRWnTgEffUT125gxtMmyZXQjAQA9e1L7p56k9ZxzSMzqGkqVSPEqhFb4qn+jjAzgyy8p5CstTXF21cLXyJjQq7OrNBbEC+rrQLYXTZpQ+9a0KQ1WlujdAMhjFoK0iXrb0aO99EbXMix8w5C4OHIm5fK6dcp7115LfxKnE/j2W9/d47/1V7oyFkzNwhsW+gerL0SjrA75+bSPESPozu7kSbrT93cCC4Ac3yNH9OcXr5LzO3Ik3shMxQ1/zfF4qwIWjMcSZK3PxsbnaerNLefb8PPP9H7nzvTsbYIMiZFbKbNJnDmjnUDEm/CVh6Z25vXGfwTjjlgtfKUb6y68AUpGLiu9PXvo+Z//9F1R6YU6GKEn+OU+169XvjPcBj4wTCiRju/Ro/Q/soP+KA71QNrFi/FzVD+XySCfPYQv6D+Y7bDC3jEdtz9uddVb3nqR1MJLhjrIHqAJEzRRCphFs+ciNZXiTAGga1f/6y/3ulQ6v5qBw0uWYOPKbMzEFDhUAXoOmDALUzTxuSYTxSO//z7VHZs3G/c8yR7S//yHjI+GDbVCXJ6nb76hY5Vua14eHa+uoaRzDvWEr3skntNJBhCgLa+RMfHii0rdaTKRFpDfESzUx6AWvgC19Wlp5OYa3QC0aEHP+fl0/wYAy5fTtvLZ281DbcHCNwyJjVWcxZIS4N//Vt5Td0er43SNiItTujJGPmLVvRCTk0nInTihdXwPHyah07ChMpghNzdw4XvmTADupreZZyoP2igi7laswDLYcKqhFTkdKJShY0fl/HTpQs8vvqi4m0YCz8itlPv47DPtfOTbtnkXgYDWcfEmCquDXqgDoAhv2TD98QeVHVCE7/jxvisq91AHX8fsLvhtNvo9nntO2SbcBj4wTCixWGi2qx9/pBvAtDQgAzY8fEMWHuqh/FHKypTBr7LO1RM+iYn0Xwxk1iy14JGhDurXer2IqamKS9qhg//1l15d+obFhoGtsjC+YybyNtLxtr3IimnmWUhDDm7CKtyEVUhDDrbeNAuHTLRjvYHC336rnCd32rQhUZqTo8wgaZRmUraBAAlrvZsMNepz2KSJ8ttYLFSX6X2P00m/pbp5k22BbJNMJlonnfZevYCrr6bfMsjZ3TS/uxTjcqDdiROkAQx7lEE3ZE2akPCVjvnf/65s6+2ztQkL3zAkLk75A5444T2M1Vf3uDr9SVKS/oUoL/6CAq3je/gw5eIzmZRsCkBgoQ4yXZc7Xt1NtVpa4JnyRw+nyYLNJpqKurhYmQ3ynHOUbaTje/XV5ECnpBgLPCNhKtP4LFgAjbPyww9KzJi/6InC6qIX6qBGdlUCSvl//ZWemzf3XVGpQx38Eb6A5z4jZlpLhgkBDgfw1VfKa3njV5hEYw/kH6W8HH47vkVF3kOL3FELnqQkRcQlJdF0xXqo24AGDfyvv/Tq0ttvB37Kt2LpvnRYL7QiI4O2e+EFMmrew014DzQg7YMPaNza+efTQGH3sQjeBlWZTIpZIetuvfMkX3/wAYnWQ4eU6eaNcHd8166lZXkz89NP+im/3DM6AHTuli2j5QEDlExOVitldPvrL7oeQil83R3fEydI0LZs6X0frVqRVsjNpZsmb+M+wgUWvmFIXJzi+LZv773n31f3uBS+UVHGTq37XZ861EFe9G3aKHekgTi+ciIEk8m3y6pBqqXhw31GzQuzBUv7LULMObTDoiISfjExSkxUw4ZKo1FYSHf3aWney6BXscsGKJDK1xvBviNu0oQGE5aWelZAeimTAXJ8ExJ0Mm7oEEiogxGBNNAMU9eQYyXc1zkcSogbAI3j6034NmxI/0X3BDne6lkp2ho2pLZBtgGNGxuXWwrf6GilLve3/lLXpRs3Am+9pbyn7vGRKRLVyPPSvr1+ODSgdLm7k5GhTBj03HNwCWx3If73v9PyhAnULuzbF5jwLSsjh1Z9TNOmacMVzGYaVCiFpTuyB+6XX7T1ateuwO7dtBy0PL6VyGNo0EC51tShDtL88karVorjq745CmdY+IYhauHbtq32T2oy+VexSeQfJSnJOGuOnvAtL6eKSHbfREcry4GGOgBU0WdkVMHddO8HcmMFbsamlVl4K9qGbt1onXR8ExKUhqJVK+VPXlBAccdGs5O5f726Ypeurl5xjCrfmqRJEyUO2d0dMIol8/dcAIGHOugRqjAPhokE9OpPi4VcPlnvA1rH13BwGxTHF6B6dcoUJT2ZUT0r60JZ98vX/grfqiDrUm8DjI1uiisqqGzuzYHFQk6uXt2rF2MrBba7EH//feVzTif9Dr7auYQEpRxHj+ofU9++9D2xscA//kHtuceEH5WkptLvcfq0p/CVxxAqx1e930aN6LhkqIMv4duypSJ8I6UOZ+EbhsTF0R8doD+M+k+ak0NB+P4KSOni6XWvSNR/RBnqAFC3uPqil3G+gYQ6rF6tLI8bR/sM+M9hswGbN0O4qc0KmPG4eQ5SB1qRk6NkKZCOr1r4xsYqjUNhIVVUVRGqcpDByJFKpWc2U6UV7IEHVaFxY+Xaca8k9QSndDX8Fb5VCXXQIxRhHgwTCcTFaUWVvPFr147+U/L/W17un+OrFr4ACbCWLb3Xs7LOl2kFA3F8qzzZTiXeenx05r7AokVU38iy2mzASy/R8q5ddDOuVw/5CqnyJsQB3zlzzWb63uRk74P9rFZykUtLyXQxEr4mE4VzAJ7CVxJsx1d+j7qtMJvpOjh6lB7s+DI1grrLWS67D4zyt3tc7fgaoef4AiSw9YSvv46v3Q7cd5/yulqDmPr1g2nJEtec6ZTeZjGeWmxFSgrlUkxLo+NVO76ZmfTx339XKpVAHF89YmJowMGDD9LriRNpXVVFYDBRd6PpxVq5C04ZA+3vuTCb6VirE+ogCdeBDwwTSsxmCrWyWrU3flJ0FhZSXXn2rCIypRjWE2OJiSSqHA56ffKkIhKNsFiUtkVOYgR4F76y/q+q4yvx1eMj66joaJrQwWajY1KXTcbtxsQY5xP3N6TKqCdMZoTwRny80sZ6O6bWramNKiz03hZfcAE9u88AKr8j2I6vxaJt8yVNm1IInNPp29Bh4csEBT3hW1UCFb5qx9f9opcXtb/CN+iDmGw2mLNpzvRHb8rCB41sGDuW/nQOB5VPxruVlFBYwqOPKh+XZcnJoTvZqgrf2FiK6ZL7O3q0+iIwWKiFr1ElqRacsjExGoSoR3x89R1fhqmvSHHUq5f2xk+K1ZMnlewJcoa0t9+m1717e6b+k/9BOaDXXSTqkZFBN69//EGGwXff0Xpvn2vUiOqU6jq+gO8eH6uVeuTUYl5dNll3Hz1qnE/c35Aq9/AJKYJ79fJ+DBkZ1Pbk5SmzqxodU+vWNGDOl/CV5szx44pBZDZTfDOgdfaDRUICtWVqQ6pJE2UCJ38c31OnaGwJC1+myqjFbiDxtHr4I3yjo5Xvcb/703N89+71z7UNySAmqxXNb0rH4DspMXlODqUSAxTXVTq+JpO+Q7JnD71f1Zjc2FhybGQ83v79vmcxqyn8Eb5qZGMSyE2A2lVn4cswgSGFmHT3JFL4njqlzNBVXGwcpyqR/0EpinwJX708tjNnKvswqttNJhI5FRXBST3oq8enaVMSgGfO0EN9TPJG/dgx7zfg/oZU2WzAG2/Q8j330LF6E3x653DiRFrWO6Y2bfwTvnL2vLfeUvKbZ2TQDQoA/O1vwc15npFBcbx792rzqTdpQjOWAv4JXwkLX6bKhMLx9Rbjq35f7fgC2otejix98kn/Jh0I5SAmeTc+axZw/fW0fNVV1GBIUdakiX4XVkEBPVcn1EEtfPftIwc0HESgr1AHd6oifOPiyGkBwuOYGSaSkPWhdPck8r946hTF9wIk7Hz1mgUqfI3yywLAqlXGdXtGBt3k2+01M+mMnO5eZrpQh2/I+urgQTpX3uo6f0OqrrySnn/8kfbvLT1loL2ZMtTBW4yv3a7cgAC0/wkT/JgauooYiXe7nW46iotpfSDCN1LC1lj4hiHBdHzlvrzdZQKK8HV3fOVFbbeTaJX4+wcM1SCm1q2pIpw/X+uG2O3U/VRSQhWnu/Du0IEqIKB6jm9ZGTUwCQlKgxMOIlDd4IXS8T18mJbD4ZgZJpKQ8bru/zl1qIN0fNPSfPeayfpa1kOnTnkXvkYxrRK9ut2bSAoV0vGVBoP6mGRsrZxJLhj1UKtW1Cb8/LPvVGaB9ma2aUNmSV6ecVtsdEMSqpzn3sS7NFAaNvQ9oI6FLxMUpFg1mao/kEBetCdPeq+kkpPpjxwXp+/4VideNxSDmJYt0+a8VHPkiDK4zV14d+qkTOJQnRhf6fiq48DCQQTGxlZtIIRRqjs9WPgyTNXIyKBZ2QFyGNWuaXIy/Q/Vjm+bNr57zeR/8LvvqI735fjqZU5wx71ur41JZ7wJX4Dqbyl8gxVm1rMnPfuatS3Q3kwppJ1O495Xo4k1QpXz3Jt4l7O3+XJ7AdrWbCZBLyfeCndY+IYhUvjGxgYmSPSQ+Qnffdd791RMDH3fwYOKcJLTFQPhNemAu/ugRp4v9cxlauEt8yQC1Qt1kI6vnAYTCB8R2KSJknbNGxkZwNNP0/K4cf53XcbF0c0FEB5xzQwTCfhyTaV4UMf4Rkf77jX79FN6njKF6viCAt9ZHdT73LTJd91eG/V/06baUAd34dusGc1oBgSv7lVncghmb6acSAkwdnz1xPTixaELF/Qm3qXj64/wXb6cruXCwpoJgQkGLHzDEClYqhvfa7cDDz2kvDbqnsrIoCl3S0vpwv3Pf0g0undhhMukA3ruA0AV80UXUVei0ZS96qk5qzo6We34tm+vVMjhJHzVydX18Jbc3Rfx8YrwDZdjZphwxx/XtFEjqlek4yvrKKNeM7vdc8Yw9bM35D779fNdt9dG/d+smdbxdRfzoXB85Xd98YX/41j86c1Ut6Xewg71xHQoc54b7dtf4VsbITDBgIVvGKJ2fKuDPxWt0YUrMz2oL+BwmXTAqEto0yZyYNUTWLgju5mqM8taTAy5EHKksaz0QpFqpirEx9PADG+VT3W6LuPj6e4eYOHLMP7ij2vauLGn4+sNIxNADkzyF3/q9pqu/5s2pd65Q4foPLgbQc2bK7NUBqMestsphE4STBEXE6NkovA13kZPTIcy57nevmWog68MHrURAhMMWPiGIVLwVtfx9aeiNbpwT56kdCbud73hMOmAUZdQv35056+ewMIdWelUNcwBoN8nP5+Wt24FfvuNlgcNqv1uHhlDePKkd8eiOl2X6uuShS/D+Ic/rql0fKXYUE9hrIfRQDU5fXug5fNVt9dk/S/F1759dEPg3oOlrsOD4fiGWsTJcAdfwjcc+P57ev7009C1I7UJC98wJFiOrz8VbVVG+IYDRu6DnL4zlI6vWvguWKCsr+1zFUi3U3W6LmUMuBwMyTCMf/hyTRs1ohvpG2+k10OGeL+Zlv9jiazL1dPcRirSIZXC1+h9IDg34KEWcfIY5EQj4YrdDsyYobwOVTtSm7DwDUOCFeML+DdDTqAjfMMFPfehYUNySRyO0Dm+MTE06AIIr26eQB2LqnZdSuGbmFj9wZcMU9/w5ppGR9P06upYXV830zYbcOutJNzmz6d1vmZuiwTUjq/eYD1ZhzdoEJzZ5EIp4jIygG+/peWLL679nkFv1FQ7UptE1XYBGE+C5fhKrFbvf16bDRg6lC7shATgwgu1F34kdF1IEhOVsofS8ZWYzeFzrqRjEUh5fF0beqiFL8MwwUMvXleKDm//0+7dgTVr6P9vMtWN/6YUvrm5wHnneb4vhW8wM8uo28KOHYMjeo0GEg8dGp7OaE21I7UJO75hSDAdX38JZIRvOKOuBL05vqdOVT0kQS18X3stfM5VTXU7yeuyLjSuDBNOpKV5rvPnZrp9e+rpysoid9Rb+FqkkJQEREWRYNRzsKXwDXY9FOw45kgbABap4QuBEDF/jxMnTmDUqFFISkpCo0aNYLPZUOxl6OqJEydw//33o0uXLoiLi0Pbtm3xwAMPoEDOVxvGBNvxDZRI7LqQ+BK+69fT84IFVc85KLvVYmKASZPC61zVxG/Hji/DhAb3mdr8FR3t29Pzzz/XjTAHgJxr6fp6i/EN91zikTgALJI1gD9ETKjDqFGjkJeXh6+//hpnz57FmDFjMGHCBLzzzju62x86dAiHDh3C7Nmz0a1bN2RnZ+Puu+/GoUOH8N5779Vw6QMjKooetTlwKNK6LiRqMeYufI2C9gPtcpI3JLIyDrdzFerysPBlmNDQqJHiDi5cCFxzjX//5Xbt6Hn7diA1NVSlq3maNqVZIr3F+IZ7PSQd1IkTyemNFAc13Nq1YBIRwnfnzp1Ys2YNtm7dir59+wIA5s2bh2HDhmH27NlorTOxdvfu3fG+nLYMwDnnnIPnnnsOt99+OyoqKhAVFd6HLnPF2u119+ILBd4cX29dTtURvvUNDnVgmNCwdauyfM89JJj8cdtatlRmVLzggtCVr6bx5vg2akQisrw8/NvJUMQOM1UnIkIdNm7ciEaNGrlELwAMGTIEZrMZmzdv9ns/BQUFSEpKCnvRm5FBKU+++ipypgAMF7w5vsHqcpKhDvVV+LLjyzDBx25XsjIAgaVHNJkU17cu1UsynEHvmJYtI+Pi558jo50Mhxz4DBERwjc/Px8t3IbhR0VFoUmTJsiXCVV9cOzYMTz77LOYoE50qkNZWRkKCws1j5okUqcADBe8Ob7BCtqv744vC1+GCT7VHQQl43z1wgIiFSPHl9tJpjrUqvB9/PHHYTKZvD527dpV7e8pLCzENddcg27duuHpp5/2uu2MGTOQnJzseqTWcMBUpI0ADTe8Ob5AcIL267vw5VAHhgk+1e2RksK3LtVLDRrQ89mz2vXcTjLVoVb7/B955BHcddddXrfp0KEDWrVqhSNHjmjWV1RU4MSJE2jVqpXXzxcVFeGqq65CYmIiPvzwQzSQ/yQDpk2bhsmTJ7teFxYW1qj4rUoOPUYhJobOl8lkPM99dYP2OdSBnln4MkzwqO4gKBnqcOJE+Me8+kNGBg3wA2iCjqIixajgdpKpDrUqfJs3b47mfkyhNXDgQJw6dQrbtm1Dnz59AADr1q2D8//bu/ugKOo/DuDvQ+FUDjjx5O5IRfABfAAGLelqMkeIhzFH00rNcdQaHA0syhy1KSj/SMZ+04yW6UxP2IyDZomWk5aJ4GgIAhI+1CX8SEI5GHXgEESR+/7+cNhflyiHcOzd7fs1cwN33729z37uy+6H3e/u2myIjY297/usVisSExOhVqvx/fffY5AD1wdTq9VQ98VtYB6Su54B6io6L97eebFwZ+jsRp50SLEnOgvfujrP2MASuYrenAT13//e/fn553fHvzp6Ypwr6u6mD9xOUm+4xRjfCRMmICkpCSkpKSguLsbJkyeRlpaGhQsXSld0uHz5MiIiIlBcXAzgbtGbkJCAlpYWfPHFF7BarbBYLLBYLOjo6JBzcbrl6dfQczaNputhDn1F6UMdfvjh7s9t29zjpBIid/IwJ0HV1t4t/Dq5+5hXR4YycDtJD8u1L2/wD7t27UJaWhri4uLg5eWF+fPnY+vWrVJ7e3s7zGYzWltbAQBlZWXSFR/G/uv4R3V1NUZ3HhdyUZ58DT1n8/MD7txx3vw7DwhYLMrb41lbC7zzzv+fu/rtN4mUoK8u1egqHB3KwO0kPQy3KXwDAwPve7MKABg9ejTEP45vz5gxw+45KYePj3Ov7fjzz3d/bt4M/Oc/7n1Isac8bQNL5Ak8bcwrhzKQM7nFUAciR33xBfDbb0BVlXMOw9fWAllZ/3/u7ocUe8odb79J5On66lKNroRDGchZWPiSx+iPazsq/TI6nriBJfIEnlgo8qYP5AxuM9SBqDv9cRje0w4pPgzefpPINXHMK1H3uMeXPEZ/HIbnHs+7uCeGiIjcEQtf8hj9VZR64iFFIiIiJVAJXvrggaxWKwICAtDU1AR/f3+5wyEH1NbyMDwREZGSOFqvcYwveRyOcyMiIqKucKgDERERESkCC18iIiIiUgQWvkRERESkCCx8iYiIiEgRWPgSERERkSKw8CUiIiIiRWDhS0RERESKwMKXiIiIiBSBN7DoRueN7axWq8yREBEREVFXOuu07m5IzMK3G83NzQCAkSNHyhwJERERET1Ic3MzAgIC7tuuEt2Vxgpns9lw5coV+Pn5QaVSOf3zrFYrRo4cib///vuB95qmvsW8y4N5lw9zLw/mXR7Muzz6M+9CCDQ3NyM4OBheXvcfycs9vt3w8vLCiBEj+v1z/f39+ccpA+ZdHsy7fJh7eTDv8mDe5dFfeX/Qnt5OPLmNiIiIiBSBhS8RERERKQILXxejVquRmZkJtVotdyiKwrzLg3mXD3MvD+ZdHsy7PFwx7zy5jYiIiIgUgXt8iYiIiEgRWPgSERERkSKw8CUiIiIiRWDhS0RERESKwMLXhWzbtg2jR4/GoEGDEBsbi+LiYrlD8jjvvfceVCqV3SMiIkJqb2trQ2pqKoYNGwaNRoP58+ejvr5exojd0/HjxzF79mwEBwdDpVJh//79du1CCGRkZMBoNGLw4MGIj4/HxYsX7aa5fv06Fi9eDH9/f2i1Wrzyyiu4ceNGPy6F++ku78uWLbun/yclJdlNw7z33KZNm/DYY4/Bz88PQUFBmDt3Lsxms900jqxbampqMGvWLAwZMgRBQUFYu3Yt7ty505+L4lYcyfuMGTPu6fMrV660m4Z575nt27cjKipKuimFyWTCoUOHpHZX7+ssfF3Enj178OabbyIzMxNlZWWIjo5GYmIiGhoa5A7N40yaNAl1dXXS48SJE1LbG2+8gR9++AF79+5FQUEBrly5gnnz5skYrXtqaWlBdHQ0tm3b1mX75s2bsXXrVuzYsQNFRUXw9fVFYmIi2trapGkWL16M8+fP48iRIzh48CCOHz+OFStW9NciuKXu8g4ASUlJdv0/JyfHrp1577mCggKkpqbi1KlTOHLkCNrb25GQkICWlhZpmu7WLR0dHZg1axZu376NX3/9FTt37kR2djYyMjLkWCS34EjeASAlJcWuz2/evFlqY957bsSIEcjKykJpaSlKSkowc+ZMzJkzB+fPnwfgBn1dkEuYNm2aSE1NlZ53dHSI4OBgsWnTJhmj8jyZmZkiOjq6y7bGxkbh7e0t9u7dK732+++/CwCisLCwnyL0PABEbm6u9NxmswmDwSA+/PBD6bXGxkahVqtFTk6OEEKICxcuCADi9OnT0jSHDh0SKpVKXL58ud9id2f/zrsQQixdulTMmTPnvu9h3vtGQ0ODACAKCgqEEI6tW3788Ufh5eUlLBaLNM327duFv7+/uHXrVv8ugJv6d96FEOLpp58Wr7/++n3fw7z3jaFDh4rPP//cLfo69/i6gNu3b6O0tBTx8fHSa15eXoiPj0dhYaGMkXmmixcvIjg4GGFhYVi8eDFqamoAAKWlpWhvb7f7HiIiIjBq1Ch+D32ouroaFovFLs8BAQGIjY2V8lxYWAitVotHH31UmiY+Ph5eXl4oKirq95g9SX5+PoKCghAeHo5Vq1bh2rVrUhvz3jeampoAAIGBgQAcW7cUFhYiMjISer1emiYxMRFWq1Xak0YP9u+8d9q1axd0Oh0mT56MDRs2oLW1VWpj3nuno6MDu3fvRktLC0wmk1v09YFO/wTq1tWrV9HR0WHXCQBAr9fjjz/+kCkqzxQbG4vs7GyEh4ejrq4O77//Pp566imcO3cOFosFPj4+0Gq1du/R6/WwWCzyBOyBOnPZVX/vbLNYLAgKCrJrHzhwIAIDA/ld9EJSUhLmzZuH0NBQVFVV4e2330ZycjIKCwsxYMAA5r0P2Gw2pKen48knn8TkyZMBwKF1i8Vi6fJvorONHqyrvAPASy+9hJCQEAQHB6OiogLr1q2D2WzGvn37ADDvD+vs2bMwmUxoa2uDRqNBbm4uJk6ciPLycpfv6yx8SVGSk5Ol36OiohAbG4uQkBB88803GDx4sIyRETnfwoULpd8jIyMRFRWFMWPGID8/H3FxcTJG5jlSU1Nx7tw5u3MHyPnul/d/jk+PjIyE0WhEXFwcqqqqMGbMmP4O02OEh4ejvLwcTU1N+Pbbb7F06VIUFBTIHZZDONTBBeh0OgwYMOCesx7r6+thMBhkikoZtFotxo8fj8rKShgMBty+fRuNjY120/B76FuduXxQfzcYDPec2Hnnzh1cv36d30UfCgsLg06nQ2VlJQDmvbfS0tJw8OBBHDt2DCNGjJBed2TdYjAYuvyb6Gyj+7tf3rsSGxsLAHZ9nnnvOR8fH4wdOxZTp07Fpk2bEB0djS1btrhFX2fh6wJ8fHwwdepUHD16VHrNZrPh6NGjMJlMMkbm+W7cuIGqqioYjUZMnToV3t7edt+D2WxGTU0Nv4c+FBoaCoPBYJdnq9WKoqIiKc8mkwmNjY0oLS2VpsnLy4PNZpM2XNR7tbW1uHbtGoxGIwDm/WEJIZCWlobc3Fzk5eUhNDTUrt2RdYvJZMLZs2ft/vE4cuQI/P39MXHixP5ZEDfTXd67Ul5eDgB2fZ557z2bzYZbt265R193+ulz5JDdu3cLtVotsrOzxYULF8SKFSuEVqu1O+uRem/NmjUiPz9fVFdXi5MnT4r4+Hih0+lEQ0ODEEKIlStXilGjRom8vDxRUlIiTCaTMJlMMkftfpqbm8WZM2fEmTNnBADx0UcfiTNnzohLly4JIYTIysoSWq1WHDhwQFRUVIg5c+aI0NBQcfPmTWkeSUlJIiYmRhQVFYkTJ06IcePGiUWLFsm1SG7hQXlvbm4Wb731ligsLBTV1dXil19+EVOmTBHjxo0TbW1t0jyY955btWqVCAgIEPn5+aKurk56tLa2StN0t265c+eOmDx5skhISBDl5eXi8OHDYvjw4WLDhg1yLJJb6C7vlZWVYuPGjaKkpERUV1eLAwcOiLCwMDF9+nRpHsx7z61fv14UFBSI6upqUVFRIdavXy9UKpX4+eefhRCu39dZ+LqQjz/+WIwaNUr4+PiIadOmiVOnTskdksdZsGCBMBqNwsfHRzzyyCNiwYIForKyUmq/efOmePXVV8XQoUPFkCFDxHPPPSfq6upkjNg9HTt2TAC457F06VIhxN1Lmr377rtCr9cLtVot4uLihNlstpvHtWvXxKJFi4RGoxH+/v5i+fLlorm5WYalcR8Pyntra6tISEgQw4cPF97e3iIkJESkpKTc8881895zXeUcgPjqq6+kaRxZt/z1118iOTlZDB48WOh0OrFmzRrR3t7ez0vjPrrLe01NjZg+fboIDAwUarVajB07Vqxdu1Y0NTXZzYd575mXX35ZhISECB8fHzF8+HARFxcnFb1CuH5fVwkhhPP3KxMRERERyYtjfImIiIhIEVj4EhEREZEisPAlIiIiIkVg4UtEREREisDCl4iIiIgUgYUvERERESkCC18iIiIiUgQWvkREbmLZsmWYO3duv39udnY2VCoVVCoV0tPTHXrPsmXLpPfs37/fqfERETlqoNwBEBERoFKpHtiemZmJLVu2QK57Dvn7+8NsNsPX19eh6bds2YKsrCwYjUYnR0ZE5DgWvkRELqCurk76fc+ePcjIyIDZbJZe02g00Gg0coQG4G5hbjAYHJ4+ICAAAQEBToyIiKjnONSBiMgFGAwG6REQECAVmp0PjUZzz1CHGTNmYPXq1UhPT8fQoUOh1+vx2WefoaWlBcuXL4efnx/Gjh2LQ4cO2X3WuXPnkJycDI1GA71ejyVLluDq1as9jvnTTz/FuHHjMGjQIOj1ejz//PO9TQMRkVOx8CUicmM7d+6ETqdDcXExVq9ejVWrVuGFF17AE088gbKyMiQkJGDJkiVobW0FADQ2NmLmzJmIiYlBSUkJDh8+jPr6erz44os9+tySkhK89tpr2LhxI8xmMw4fPozp06c7YxGJiPoMhzoQEbmx6OhovPPOOwCADRs2ICsrCzqdDikpKQCAjIwMbN++HRUVFXj88cfxySefICYmBh988IE0jy+//BIjR47En3/+ifHjxzv0uTU1NfD19cWzzz4LPz8/hISEICYmpu8XkIioD3GPLxGRG4uKipJ+HzBgAIYNG4bIyEjpNb1eDwBoaGgAAPz22284duyYNGZYo9EgIiICAFBVVeXw5z7zzDMICQlBWFgYlixZgl27dkl7lYmIXBULXyIiN+bt7W33XKVS2b3WebUIm80GALhx4wZmz56N8vJyu8fFixd7NFTBz88PZWVlyMnJgdFoREZGBqKjo9HY2Nj7hSIichIOdSAiUpApU6bgu+++w+jRozFwYO82AQMHDkR8fDzi4+ORmZkJrVaLvLw8zJs3r4+iJSLqW9zjS0SkIKmpqbh+/ToWLVqE06dPo6qqCj/99BOWL1+Ojo4Oh+dz8OBBbN26FeXl5bh06RK+/vpr2Gw2hIeHOzF6IqLeYeFLRKQgwcHBOHnyJDo6OpCQkIDIyEikp6dDq9XCy8vxTYJWq8W+ffswc+ZMTJgwATt27EBOTg4mTZrkxOiJiHpHJeS6DRAREbmF7OxspKenP9T4XZVKhdzcXFlutUxE9G/c40tERN1qamqCRqPBunXrHJp+5cqVst5pjoioK9zjS0RED9Tc3Iz6+noAd4c46HS6bt/T0NAAq9UKADAajfD19XVqjEREjmDhS0RERESKwKEORERERKQILHyJiIiISBFY+BIRERGRIrDwJSIiIiJFYOFLRERERIrAwpeIiIiIFIGFLxEREREpAgtfIiIiIlIEFr5EREREpAj/A5kIX6fkA3z3AAAAAElFTkSuQmCC\n" }, "metadata": {} } ], "source": [ "signal = np.zeros(300)\n", "signal[100:200] += 1\n", "noise = np.random.randn(300)/10\n", "x = signal + noise\n", "window = 11\n", "\n", "y = moving_average(x, window)\n", "\n", "# plot\n", "fig, ax = plt.subplots(1, 1, figsize=(8, 4))\n", "ax.plot(x, 'b.-', linewidth=1, label = 'raw data')\n", "ax.plot(y, 'r.-', linewidth=2, label = 'moving average')\n", "ax.legend(frameon=False, loc='upper right', fontsize=10)\n", "ax.set_xlabel(\"Time [s]\")\n", "ax.set_ylabel(\"Amplitude\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "Sj_EXWEKwDtc" }, "source": [ "Later we will look on better ways to calculate the moving average." ] }, { "cell_type": "markdown", "metadata": { "id": "TuYPaAgFwDtd" }, "source": [ "## Digital filters\n", "\n", "In signal processing, a digital filter is a system that performs mathematical operations on a signal to modify certain aspects of that signal. A digital filter (in fact, a causal, linear time-invariant (LTI) digital filter) can be seen as the implementation of the following difference equation in the time domain:\n", "\n", "$$ \\begin{array}{}\n", "y_n &= \\quad b_0x_n + \\; b_1x_{n-1} + \\cdots + b_Mx_{n-M} - \\; a_1y_{n-1} - \\cdots - a_Ny_{n-N} \\\\\n", "& = \\quad \\sum_{k=0}^M b_kx_{n-k} - \\sum_{k=1}^N a_ky_{n-k}\n", "\\end{array} $$\n", "\n", "Where the output $y$ is the filtered version of the input $x$, $a_k$ and $b_k$ are the filter coefficients (real values), and the order of the filter is the larger of N or M.\n", "\n", "This general equation is for a recursive filter where the filtered signal y is calculated based on current and previous values of $x$ and on previous values of $y$ (the own output values, because of this it is said to be a system with feedback). A filter that does not re-use its outputs as an input (and it is said to be a system with only feedforward) is called nonrecursive filter (the $a$ coefficients of the equation are zero). Recursive and nonrecursive filters are also known as infinite impulse response (IIR) and finite impulse response (FIR) filters, respectively. \n", "\n", "A filter with only the terms based on the previous values of $y$ is also known as an autoregressive (AR) filter. A filter with only the terms based on the current and previous values of $x$ is also known as an moving-average (MA) filter. The filter with all terms is also known as an autoregressive moving-average (ARMA) filter. The moving-average filter can be implemented by making $n$ $b$ coefficients each equals to $1/n$ and the $a$ coefficients equal to zero in the difference equation. " ] }, { "cell_type": "markdown", "metadata": { "id": "WUd5NNxtwDtd" }, "source": [ "### Transfer function\n", "\n", "Another form to characterize a digital filter is by its [transfer function](http://en.wikipedia.org/wiki/Transfer_function). In simple terms, a transfer function is the ratio in the frequency domain between the input and output signals of a filter. \n", "For continuous-time input signal $x(t)$ and output $y(t)$, the transfer function $H(s)$ is given by the ratio between the [Laplace transforms](http://en.wikipedia.org/wiki/Laplace_transform) of input $x(t)$ and output $y(t)$:\n", "\n", "$$ H(s) = \\frac{Y(s)}{X(s)} $$\n", "\n", "Where $s = \\sigma + j\\omega$; $j$ is the imaginary unit and $\\omega$ is the angular frequency, $2\\pi f$. \n", "\n", "In the steady-state response case, we can consider $\\sigma=0$ and the Laplace transforms with complex arguments reduce to the [Fourier transforms](http://en.wikipedia.org/wiki/Fourier_transform) with real argument $\\omega$." ] }, { "cell_type": "markdown", "metadata": { "id": "SkS65lnKwDtd" }, "source": [ "For discrete-time input signal $x(t)$ and output $y(t)$, the transfer function $H(z)$ will be given by the ratio between the [z-transforms](http://en.wikipedia.org/wiki/Z-transform) of input $x(t)$ and output $y(t)$, and the formalism is similar.\n", "\n", "The transfer function of a digital filter (in fact for a linear, time-invariant, and causal filter), obtained by taking the z-transform of the difference equation shown earlier, is given by:\n", "\n", "$$ H(z) = \\frac{Y(z)}{X(z)} = \\frac{b_0 + b_1 z^{-1} + b_2 z^{-2} + \\cdots + b_N z^{-N}}{1 + a_1 z^{-1} + a_2 z^{-2} + \\cdots + a_M z^{-M}} $$\n", "\n", "$$ H(z) = \\frac{\\sum_{k=0}^M b_kz^{-k}}{1 + \\sum_{k=1}^N a_kz^{-k}} $$\n", "\n", "And the order of the filter is the larger of N or M. \n", "\n", "Similar to the difference equation, this transfer function is for a recursive (IIR) filter. If the $a$ coefficients are zero, the denominator is equal to one, and the filter becomes nonrecursive (FIR)." ] }, { "cell_type": "markdown", "metadata": { "id": "qRw9uKpkwDtd" }, "source": [ "### The Fourier transform\n", "\n", "The [Fourier transform](http://en.wikipedia.org/wiki/Fourier_transform) is a mathematical operation to transform a signal which is function of time, $g(t)$, into a signal which is function of frequency, $G(f)$, and it is defined by: \n", "
\n", "$$ \\mathcal{F}[g(t)] = G(f) = \\int_{-\\infty}^{\\infty} g(t) e^{-j 2\\pi f t} dt $$ \n", "\n", "Its inverse operation is: \n", "
\n", "$$ \\mathcal{F}^{-1}[G(f)] = g(t) = \\int_{-\\infty}^{\\infty} G(f) e^{j 2\\pi f t} df $$ \n", "\n", "The function $G(f)$ is the representation in the frequency domain of the time-domain signal, $g(t)$, and vice-versa. The functions $g(t)$ and $G(f)$ are referred to as a Fourier integral pair, or Fourier transform pair, or simply the Fourier pair. [See this text for an introduction to Fourier transform](http://www.thefouriertransform.com/transform/fourier.php)." ] }, { "cell_type": "markdown", "metadata": { "id": "9TajryeOwDtd" }, "source": [ "## Types of filters\n", "\n", "In relation to the frequencies that are not removed from the data (and a boundary is specified by the critical or cutoff frequency), a filter can be a low-pass, high-pass, band-pass, and band-stop. The frequency response of such filters is illustrated in the next figure.\n", "\n", "
\"Filters\"
Frequency response of filters (from Wikipedia).
" ] }, { "cell_type": "markdown", "metadata": { "id": "rRBccnctwDte" }, "source": [ "The critical or cutoff frequency for a filter is defined as the frequency where the power (the amplitude squared) of the filtered signal is half of the power of the input signal (or the output amplitude is 0.707 of the input amplitude). \n", "For instance, if a low-pass filter has a cutoff frequency of 10 Hz, it means that at 10 Hz the power of the filtered signal is 50% of the power of the original signal (and the output amplitude will be about 71% of the input amplitude).\n", "\n", "The gain of a filter (the ratio between the output and input powers) is usually expressed in the decibel (dB) unit." ] }, { "cell_type": "markdown", "metadata": { "id": "HGvCj9xzwDte" }, "source": [ "### Decibel (dB)\n", "\n", "The decibel (dB) is a logarithmic unit used to express the ratio between two values. \n", "In the case of the filter gain measured in the decibel unit:\n", "\n", "$$Gain=10\\,log\\left(\\frac{A_{out}^2}{A_{in}^2}\\right)=20\\,log\\left(\\frac{A_{out}}{A_{in}}\\right)$$ \n", "\n", "Where $A_{out}$ and $A_{in}$ are respectively the amplitudes of the output (filtered) and input (raw) signals.\n", "\n", "For instance, the critical or cutoff frequency for a filter, the frequency where the power (the amplitude squared) of the filtered signal is half of the power of the input signal, is given in decibel as:\n", "\n", "$$ 10\\,log\\left(0.5\\right) \\approx -3 dB $$ \n", "\n", "If the power of the filtered signal is twice the power of the input signal, because of the logarithm, the gain in decibel is $10\\,log\\left(2\\right) \\approx 3 dB$. \n", "If the output power is attenuated by ten times, the gain is $10\\,log\\left(0.1\\right) \\approx -10 dB$, but if the output amplitude is attenuated by ten times, the gain is $20\\,log\\left(0.1\\right) \\approx -20 dB$, and if the output amplitude is amplified by ten times, the gain is $20 dB$. \n", "For each 10-fold variation in the amplitude ratio, there is an increase (or decrease) of $20 dB$.\n", "\n", "The decibel unit is useful to represent large variations in a measurement, for example, $-120 dB$ represents an attenuation of 1,000,000 times. \n", "A decibel is one tenth of a bel, a unit named in honor of Alexander Graham Bell." ] }, { "cell_type": "markdown", "metadata": { "id": "s2WTU-NFwDte" }, "source": [ "### Butterworth filter\n", "\n", "A common filter employed in biomechanics and motor control fields is the [Butterworth filter](http://en.wikipedia.org/wiki/Butterworth_filter). This filter is used because its simple design, it has a more flat frequency response and linear phase response in the pass and stop bands, and it is simple to use. \n", "The Butterworth filter is a recursive filter (IIR) and both $a$ and $b$ filter coefficients are used in its implementation. \n", "Let's implement the Butterworth filter. We will use the function `butter` to calculate the filter coefficients: \n", "```python\n", "butter(N, Wn, btype='low', analog=False, output='ba')\n", "```\n", "Where `N` is the order of the filter, `Wn` is the cutoff frequency specified as a fraction of the [Nyquist frequency](http://en.wikipedia.org/wiki/Nyquist_frequency) (half of the sampling frequency), and `btype` is the type of filter (it can be any of {'lowpass', 'highpass', 'bandpass', 'bandstop'}, the default is 'lowpass'). See the help of `butter` for more details. The filtering itself is performed with the function `lfilter`: \n", "```python\n", "lfilter(b, a, x, axis=-1, zi=None)\n", "```\n", "Where `b` and `a` are the Butterworth coefficients calculated with the function `butter` and `x` is the variable with the data to be filtered." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "id": "LfUN5oYvwDte", "outputId": "e93b14cb-c576-4a5b-e4b9-a732b34150f1", "colab": { "base_uri": "https://localhost:8080/", "height": 388 } }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ], "source": [ "from scipy import signal\n", "\n", "freq = 100\n", "t = np.arange(0, 1, .01)\n", "w = 2*np.pi*1 # 1 Hz\n", "y = np.sin(w*t) + 0.1*np.sin(10*w*t)\n", "# Butterworth filter\n", "b, a = signal.butter(2, 5/(freq/2), btype = 'low')\n", "y2 = signal.lfilter(b, a, y) # standard filter\n", "# plot\n", "fig, ax1 = plt.subplots(1, 1, figsize=(9, 4))\n", "ax1.plot(t, y, 'r.-', linewidth=2, label = 'raw data')\n", "ax1.plot(t, y2, 'b.-', linewidth=2, label = 'filter @ 5 Hz')\n", "ax1.legend(frameon=False, fontsize=14)\n", "ax1.set_xlabel(\"Time [s]\")\n", "ax1.set_ylabel(\"Amplitude\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "iUDzlZsowDte" }, "source": [ "The plot above shows that the Butterworth filter introduces a phase (a delay or lag in time) between the raw and the filtered signals. We will see how to account for that later. \n", "\n", "Let's look at the values of the `b` and `a` Butterworth filter coefficients for different orders and see a characteristic of them; from the general difference equation shown earlier, it follows that the sum of the `b` coefficients minus the sum of the `a` coefficients (excluding the first coefficient of `a`) is one:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "id": "VuogBofcwDte", "outputId": "72c8464f-ccf2-48f0-bcbc-476859ba2c6d", "colab": { "base_uri": "https://localhost:8080/" } }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Low-pass Butterworth filter coefficients\n", "Order 1: \n", "b: [0.13672874 0.13672874] \n", "a: [ 1. -0.72654253] \n", "sum(b)-sum(a): 1.0\n", "Order 2: \n", "b: [0.02008337 0.04016673 0.02008337] \n", "a: [ 1. -1.56101808 0.64135154] \n", "sum(b)-sum(a): 1.0\n" ] } ], "source": [ "from scipy import signal\n", "print('Low-pass Butterworth filter coefficients')\n", "b, a = signal.butter(1, .1, btype = 'low')\n", "print('Order 1:', '\\nb:', b, '\\na:', a, '\\nsum(b)-sum(a):', np.sum(b)-np.sum(a[1:]))\n", "b, a = signal.butter(2, .1, btype = 'low')\n", "print('Order 2:', '\\nb:', b, '\\na:', a, '\\nsum(b)-sum(a):', np.sum(b)-np.sum(a[1:]))" ] }, { "cell_type": "markdown", "metadata": { "id": "ZVezjDMMwDtf" }, "source": [ "### Bode plot\n", "\n", "How much the amplitude of the filtered signal is attenuated in relation to the amplitude of the raw signal (gain or magnitude) as a function of frequency is given in the frequency response plot. The plots of the frequency and phase responses (the [bode plot](http://en.wikipedia.org/wiki/Bode_plot)) of this filter implementation (Butterworth, lowpass at 5 Hz, second-order) is shown below:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "id": "qJrEbWD9wDtf", "outputId": "b1d27556-af63-4c9f-bb7e-3da50183fa6d", "colab": { "base_uri": "https://localhost:8080/", "height": 564 } }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "from scipy import signal\n", "\n", "b, a = signal.butter(2, 5/(freq/2), btype = 'low')\n", "w, h = signal.freqz(b, a) # compute the frequency response of a digital filter\n", "angles = np.rad2deg(np.unwrap(np.angle(h))) # angle of the complex argument\n", "w = w/np.pi*freq/2 # angular frequency from radians to Hz\n", "h = 20*np.log10(np.absolute(h)) # in decibels\n", "\n", "fig, (ax1, ax2) = plt.subplots(2, 1, sharex = True, figsize=(9, 6))\n", "ax1.plot(w, h, linewidth=2)\n", "ax1.set_ylim(-80, 1)\n", "ax1.set_title('Frequency response')\n", "ax1.set_ylabel(\"Magnitude [dB]\")\n", "ax1.plot(5, -3.01, 'ro')\n", "ax11 = plt.axes([.17, .59, .2, .2]) # inset plot\n", "ax11.plot(w, h, linewidth=2)\n", "ax11.plot(5, -3.01, 'ro')\n", "ax11.set_ylim([-6, .5])\n", "ax11.set_xlim([0, 10])\n", "ax2.plot(w, angles, linewidth=2)\n", "ax2.set_title('Phase response')\n", "ax2.set_xlabel(\"Frequency [Hz]\")\n", "ax2.set_ylabel(\"Phase [degrees]\")\n", "ax2.plot(5, -90, 'ro')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "2f-vVIMTwDtf" }, "source": [ "The inset plot in the former figure shows that at the cutoff frequency (5 Hz), the power of the filtered signal is indeed attenuated by 3 dB. \n", "\n", "The phase-response plot shows that at the cutoff frequency, the Butterworth filter presents about 90 degrees of phase between the raw and filtered signals. A 5 Hz signal has a period of 0.2 s and 90 degrees of phase corresponds to 0.05 s of lag. Looking at the plot with the raw and filtered signals employing or not the phase correction, we can see that the delay is indeed about 0.05 s." ] }, { "cell_type": "markdown", "metadata": { "id": "6epO13pbwDtf" }, "source": [ "### Order of a filter\n", "\n", "The order of a filter is related to the inclination of the 'wall' in the frequency response plot that attenuates or not the input signal at the vicinity of the cutoff frequency. A vertical wall exactly at the cutoff frequency would be ideal but this is impossible to implement. \n", "A Butterworth filter of first order attenuates 6 dB of the power of the signal each doubling of the frequency (per octave) or, which is the same, attenuates 20 dB each time the frequency varies by an order of 10 (per decade). In more technical terms, one simply says that a first-order filter rolls off -6 dB per octave or that rolls off -20 dB per decade. A second-order filter rolls off -12 dB per octave (-40 dB per decade), and so on, as shown in the next figure. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "id": "ayMzNlhhwDtf" }, "outputs": [], "source": [ "#!/usr/bin/env python\n", "\n", "\"\"\"Plot of frequency response of the Butterworth filter with different orders.\"\"\"\n", "\n", "import numpy as np\n", "from scipy import signal\n", "import matplotlib.pyplot as plt\n", "\n", "__author__ = 'Marcos Duarte, https://github.com/demotu/BMC'\n", "__version__ = 'butterworth_plot.py v.1 2023/10/23'\n", "\n", "\n", "def butterworth_plot(fig=None, ax=None):\n", " \"\"\"\n", " Plot of frequency response of the Butterworth filter with different orders.\n", " \"\"\"\n", "\n", " if fig is None:\n", " fig, ax = plt.subplots(1, 2, figsize=(10, 4))\n", "\n", " b1, a1 = signal.butter(1, 10, 'low', analog=True)\n", " w, h1 = signal.freqs(b1, a1)\n", " ang1 = np.rad2deg(np.unwrap(np.angle(h1)))\n", " h1 = 20 * np.log10(abs(h1))\n", " b2, a2 = signal.butter(2, 10, 'low', analog=True)\n", " w, h2 = signal.freqs(b2, a2)\n", " ang2 = np.rad2deg(np.unwrap(np.angle(h2)))\n", " h2 = 20 * np.log10(abs(h2))\n", " b4, a4 = signal.butter(4, 10, 'low', analog=True)\n", " w, h4 = signal.freqs(b4, a4)\n", " ang4 = np.rad2deg(np.unwrap(np.angle(h4)))\n", " h4 = 20 * np.log10(abs(h4))\n", " b6, a6 = signal.butter(6, 10, 'low', analog=True)\n", " w, h6 = signal.freqs(b6, a6)\n", " ang6 = np.rad2deg(np.unwrap(np.angle(h6)))\n", " h6 = 20 * np.log10(abs(h6))\n", " w = w/10\n", "\n", " # PLOT\n", " ax[0].plot(w, h1, 'b', w, h2, 'r', w, h4, 'g', w, h6, 'y', linewidth=2)\n", " ax[0].axvline(1, color='black') # cutoff frequency\n", " ax[0].scatter(1, -3, marker='s', edgecolor='0', facecolor='1', s=400)\n", " #ax1.legend(('1', '2', '4', '6'), title='Filter order', loc='best')\n", " ax[0].set_xscale('log')\n", " fig.suptitle('Bode plot for low-pass Butterworth filter with different orders',\n", " fontsize=16, y=1.05)\n", " #ax1.set_title('Magnitude', fontsize=14)\n", " ax[0].set_xlabel('Frequency / Critical frequency', fontsize=14)\n", " ax[0].set_ylabel('Magnitude [dB]', fontsize=14)\n", " ax[0].set_xlim(0.1, 10)\n", " ax[0].set_ylim(-120, 10)\n", " ax[0].grid(which='both', axis='both')\n", " ax[1].plot(w, ang1, 'b', w, ang2, 'r', w, ang4, 'g', w, ang6, 'y', linewidth=2)\n", " ax[1].axvline(1, color='black') # cutoff frequency\n", " ax[1].legend(('1', '2', '4', '6'), title='Filter order', loc='best')\n", " ax[1].set_xscale('log')\n", " #ax2.set_title('Phase', fontsize=14)\n", " ax[1].set_xlabel('Frequency / Critical frequency', fontsize=14)\n", " ax[1].set_ylabel('Phase [degrees]', fontsize=14)\n", " ax[1].set_yticks(np.arange(0, -300, -45))\n", " ax[1].set_ylim(-300, 10)\n", " ax[1].grid(which='both', axis='both')\n", " plt.tight_layout(w_pad=1)\n", " axi = plt.axes([.115, .4, .15, .35]) # inset plot\n", " axi.plot(w, h1, 'b', w, h2, 'r', w, h4, 'g', w, h6, 'y', linewidth=2)\n", " #ax11.set_yticks(np.arange(0, -7, -3))\n", " axi.set_xticks((0.6, 1, 1.4))\n", " axi.set_yticks((-6, -3, 0))\n", " axi.set_ylim([-7, 1])\n", " axi.set_xlim([.5, 1.5])\n", " axi.grid(which='both', axis='both')" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "id": "-3T_KOTrwDtg", "outputId": "56672426-21d2-4f69-cc0b-37f0ef76ddb6", "colab": { "base_uri": "https://localhost:8080/", "height": 442 } }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ], "source": [ "butterworth_plot()" ] }, { "cell_type": "markdown", "metadata": { "id": "xLwoR5ukwDtg" }, "source": [ "### Butterworth filter with zero-phase shift\n", "\n", "The phase introduced by the Butterworth filter can be corrected in the digital implementation by cleverly filtering the data twice, once forward and once backwards. So, the lag introduced in the first filtering is zeroed by the same lag in the opposite direction at the second pass. The result is a zero-phase shift (or zero-phase lag) filtering. \n", "However, because after each pass the output power at the cutoff frequency is attenuated by two, by passing twice the second order Butterworth filter, the final output power will be attenuated by four. We have to correct the actual cutoff frequency value so that when employing the two passes, the filter will attenuate only by two. \n", "The following formula gives the desired cutoff frequency for a second-order Butterworth filter according to the number of passes, $n$, (see Winter, 2009):\n", "\n", "$$ C = \\sqrt[4]{2^{\\frac{1}{n}} - 1} $$\n", "\n", "For instance, for two passes, $n=2$, $ C=\\sqrt[4]{2^{\\frac{1}{2}} - 1} \\approx 0.802 $. \n", "The actual filter cutoff frequency will be:\n", "\n", "$$ fc_{actual} = \\frac{fc_{desired}}{C} $$\n", "\n", "For instance, for a second-order Butterworth filter with zero-phase shift and a desired 10 Hz cutoff frequency, the actual cutoff frequency should be 12.47 Hz.\n", "\n", "Let's implement this forward and backward filtering using the function `filtfilt` and compare with the single-pass filtering we just did it." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "id": "Lhg-ybSJwDtg", "outputId": "500d7ecc-54d5-420a-81e7-e751d61c90cd", "colab": { "base_uri": "https://localhost:8080/", "height": 388 } }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "from scipy.signal import butter, lfilter, filtfilt\n", "freq = 100\n", "t = np.arange(0, 1, .01)\n", "w = 2*np.pi*1 # 1 Hz\n", "y = np.sin(w*t) + 0.1*np.sin(10*w*t)\n", "# Butterworth filter\n", "b, a = butter(2, 5/(freq/2), btype = 'low')\n", "y2 = lfilter(b, a, y) # standard filter\n", "# Correct the cutoff frequency for the number of passes in the filter\n", "C = 0.802\n", "b, a = butter(2, (5/C)/(freq/2), btype = 'low')\n", "y3 = filtfilt(b, a, y) # filter with phase shift correction\n", "# plot\n", "fig, ax1 = plt.subplots(1, 1, figsize=(9, 4))\n", "ax1.plot(t, y, 'r.-', linewidth=2, label = 'raw data')\n", "ax1.plot(t, y2, 'b.-', linewidth=2, label = 'filter @ 5 Hz')\n", "ax1.plot(t, y3, 'g.-', linewidth=2, label = 'filtfilt @ 5 Hz')\n", "ax1.legend(frameon=False, fontsize=14)\n", "ax1.set_xlabel(\"Time [s]\")\n", "ax1.set_ylabel(\"Amplitude\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "UMEJaLoiwDtg" }, "source": [ "### Critically damped digital filter\n", "\n", "A problem with a lowpass Butterworth filter is that it tends to overshoot or undershoot data with rapid changes (see for example, Winter (2009), Robertson et at. (2013), and Robertson & Dowling (2003)). \n", "The Butterworth filter behaves as an underdamped second-order system and a critically damped filter doesn't have this overshoot/undershoot characteristic. \n", "The function `crit_damp.py` calculates the coefficients (the b's and a's) for an IIR critically damped digital filter and corrects the cutoff frequency for the number of passes of the filter. The calculation of these coefficients is very similar to the calculation for the Butterworth filter, see the `critic_damp.py` code. This function can also calculate the Butterworth coefficients if this option is chosen. \n", "The signature of `critic_damp.py` function is: \n", "```python\n", "critic_damp(fcut, freq, npass=2, fcorr=True, filt='critic')\n", "```\n", "And here is an example of `critic_damp.py`:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "id": "PF-oZ5BwwDtg" }, "outputs": [], "source": [ "\"\"\"Coefficients of critically damped or Butterworth digital lowpass filter.\"\"\"\n", "\n", "import warnings\n", "import numpy as np\n", "\n", "__author__ = 'Marcos Duarte, https://github.com/demotu/BMC'\n", "__version__ = \"1.0.0\"\n", "__license__ = \"MIT\"\n", "\n", "\n", "def critic_damp(fcut, freq, npass=2, fcorr=True, filt='critic'):\n", " \"\"\"Coefficients of critically damped or Butterworthdigital lowpass filter.\n", "\n", " A problem with a lowpass Butterworth filter is that it tends to overshoot\n", " or undershoot data with rapid changes (see for example, Winter (2009),\n", " Robertson et at. (2013), and Robertson & Dowling (2003)).\n", " The Butterworth filter behaves as an underdamped second-order system and a\n", " critically damped filter doesn't have this overshoot/undershoot\n", " characteristic.\n", "\n", " This function calculates the coefficients (the b's and a's) for an IIR\n", " critically damped digital filter and corrects the cutoff frequency for\n", " the number of passes of the filter. The calculation of these coefficients\n", " is very similar to the calculation for the Butterworth filter and this\n", " function can also calculate the Butterworth coefficients if this option\n", " is chosen.\n", "\n", " Parameters\n", " ----------\n", " fcut : number\n", " desired cutoff frequency for the lowpass digital filter (Hz).\n", " freq : number\n", " sampling frequency (Hz).\n", " npass : number, optional (default = 2)\n", " number of passes the filter will be applied.\n", " choose 2 for a second order zero phase lag filter\n", " fcorr : bool, optional (default = True)\n", " correct (True) or not the cutoff frequency for the number of passes.\n", " filt : string ('critic', 'butter'), optional (default = 'critic')\n", " 'critic' to calculate coefficients for critically damped lowpass filter\n", " 'butter' to calculate coefficients for Butterworth lowpass filter\n", "\n", " Returns\n", " -------\n", " b : 1D array\n", " b coefficients for the filter\n", " a : 1D array\n", " a coefficients for the filter\n", " fc : number\n", " corrected cutoff frequency considering the number of passes\n", "\n", " Notes\n", " -----\n", " See this Jupyter notebook [1]_\n", " See documentation for the Scipy butter function [2]_\n", "\n", " References\n", " ----------\n", " .. [1] http://nbviewer.jupyter.org/github/demotu/BMC/blob/master/notebooks/DataFiltering.ipynb\n", " .. [2] https://docs.scipy.org/doc/scipy-0.14.0/reference/generated/scipy.signal.butter.html\n", "\n", " Examples\n", " --------\n", " >>> from critic_damp import critic_damp\n", " >>> print('Critically damped filter')\n", " >>> b_cd, a_cd, fc_cd = critic_damp(fcut=10, freq=100, npass=2, fcorr=True, filt='critic')\n", " >>> print('b:', b_cd, '\\na:', a_cd, '\\nCorrected Fc:', fc_cd)\n", " >>> print('Butterworth filter')\n", " >>> b_bw, a_bw, fc_bw = critic_damp(fcut=10, freq=100, npass=2, fcorr=True, filt='butter')\n", " >>> print('b:', b_bw, '\\na:', a_bw, '\\nCorrected Fc:', fc_bw)\n", " >>> # illustrate the filter in action\n", " >>> import numpy as np\n", " >>> import matplotlib.pyplot as plt\n", " >>> from scipy import signal\n", " >>> y = np.hstack((np.zeros(20), np.ones(20)))\n", " >>> t = np.linspace(0, 0.39, 40) - .19\n", " >>> y_cd = signal.filtfilt(b_cd, a_cd, y)\n", " >>> y_bw = signal.filtfilt(b_bw, a_bw, y)\n", " >>> fig, ax = plt.subplots(1, 1, figsize=(9, 4))\n", " >>> ax.plot(t, y, 'k', linewidth=2, label = 'raw data')\n", " >>> ax.plot(t, y_cd, 'r', linewidth=2, label = 'Critically damped')\n", " >>> ax.plot(t, y_bw, 'b', linewidth=2, label = 'Butterworth')\n", " >>> ax.legend()\n", " >>> ax.set_xlabel('Time (s)')\n", " >>> ax.set_ylabel('Amplitude')\n", " >>> ax.set_title('Freq = 100 Hz, Fc = 10 Hz, 2nd order and zero-phase shift filters')\n", " >>> plt.show()\n", "\n", " \"\"\"\n", "\n", " if fcut > freq/2:\n", " warnings.warn('Cutoff frequency can not be greater than Nyquist frequency.')\n", "\n", " # cutoff frequency correction for number of passes\n", " if filt.lower() == 'critic':\n", " if fcorr:\n", " corr = 1/np.power(2**(1/(2*npass))-1, 0.5)\n", " elif filt.lower() == 'butter':\n", " if fcorr:\n", " corr = 1/np.power(2**(1/npass)-1, 0.25)\n", " else:\n", " warnings.warn('Invalid option for paraneter filt:', filt)\n", "\n", " # corrected cutoff frequency\n", " if fcorr:\n", " fc = fcut*corr\n", " if fc > (freq/2):\n", " text = 'Warning: corrected cutoff frequency ({} Hz) is greater'+\\\n", " ' than Nyquist frequency ({} Hz). Using the uncorrected cutoff'+\\\n", " ' frequency ({} Hz).'\n", " print(text.format(fc, freq/2, fcut))\n", " fc = fcut\n", " else:\n", " fc = fcut\n", "\n", " # corrected angular cutoff frequency\n", " wc = np.tan(np.pi*fc/freq)\n", " # lowpass coefficients\n", " k1 = np.sqrt(2)*wc if filt.lower() == 'butter' else 2*wc\n", " k2 = wc*wc\n", " a0 = k2/(1+k1+k2)\n", " a1 = 2*a0\n", " a2 = k2/(1+k1+k2)\n", " b1 = 2*a0*(1/k2-1)\n", " b2 = 1-(a0+a1+a2+b1)\n", " # transform parameters to be consistent with SciPy butter output\n", " b = np.array([a0, a1, a2])\n", " a = np.array([1, -b1, -b2])\n", "\n", " return b, a, fc" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "id": "ceOtqN-ZwDth", "outputId": "409cb94a-534b-4e6c-84de-abf55afdebf7", "colab": { "base_uri": "https://localhost:8080/", "height": 557 } }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Critically damped filter\n", "b: [0.21937845 0.4387569 0.21937845] \n", "a: [ 1. -0.12648588 0.00399967] \n", "Corrected Fc: 22.989592227534715\n", "Butterworth filter\n", "b: [0.09718522 0.19437045 0.09718522] \n", "a: [ 1. -0.94557029 0.33431119] \n", "Corrected Fc: 12.465047027709272\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ], "source": [ " >>> print('Critically damped filter')\n", " >>> b_cd, a_cd, fc_cd = critic_damp(fcut=10, freq=100, npass=2, fcorr=True, filt='critic')\n", " >>> print('b:', b_cd, '\\na:', a_cd, '\\nCorrected Fc:', fc_cd)\n", " >>> print('Butterworth filter')\n", " >>> b_bw, a_bw, fc_bw = critic_damp(fcut=10, freq=100, npass=2, fcorr=True, filt='butter')\n", " >>> print('b:', b_bw, '\\na:', a_bw, '\\nCorrected Fc:', fc_bw)\n", " >>> # illustrate the filter in action\n", " >>> import numpy as np\n", " >>> import matplotlib.pyplot as plt\n", " >>> from scipy import signal\n", " >>> y = np.hstack((np.zeros(20), np.ones(20)))\n", " >>> t = np.linspace(0, 0.39, 40) - .19\n", " >>> y_cd = signal.filtfilt(b_cd, a_cd, y)\n", " >>> y_bw = signal.filtfilt(b_bw, a_bw, y)\n", " >>> fig, ax = plt.subplots(1, 1, figsize=(9, 4))\n", " >>> ax.plot(t, y, 'k', linewidth=2, label = 'raw data')\n", " >>> ax.plot(t, y_cd, 'r', linewidth=2, label = 'Critically damped')\n", " >>> ax.plot(t, y_bw, 'b', linewidth=2, label = 'Butterworth')\n", " >>> ax.legend()\n", " >>> ax.set_xlabel('Time (s)')\n", " >>> ax.set_ylabel('Amplitude')\n", " >>> ax.set_title('Freq = 100 Hz, Fc = 10 Hz, 2nd order and zero-phase shift filters')\n", " >>> plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "e3KTMjD9wDth" }, "source": [ "### Comparison of FIR filter with a critically damped filter" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "id": "aSHIWGAZwDth", "outputId": "4d29a953-5a2d-41da-c869-440d01245803", "colab": { "base_uri": "https://localhost:8080/" } }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Critically damped filter\n", "b: [0.21937845 0.4387569 0.21937845] \n", "a: [ 1. -0.12648588 0.00399967] \n", "Corrected Fc: 22.989592227534715\n", "FIR filter\n", "b: [0.0689264 0.86214719 0.0689264 ]\n" ] } ], "source": [ "print('Critically damped filter')\n", "b_cd, a_cd, fc_cd = critic_damp(fcut=10, freq=100, npass=2, fcorr=True, filt='critic')\n", "print('b:', b_cd, '\\na:', a_cd, '\\nCorrected Fc:', fc_cd)\n", "print('FIR filter')\n", "b_fir = signal.firwin(numtaps=3, cutoff=10, fs=1000)\n", "print('b:', b_fir)\n", "# illustrate the filter in action\n", "y_cd = signal.filtfilt(b_cd, a_cd, y)\n", "y_fir = signal.filtfilt(b_fir, 1, y)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "id": "9okyYcmwwDtj", "outputId": "c59f4ab8-7118-4a1f-fc0e-9cc649eb150f", "colab": { "base_uri": "https://localhost:8080/", "height": 410 } }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(9, 4))\n", "ax.plot(t, y, 'k', linewidth=2, label = 'raw data')\n", "ax.plot(t, y_cd, 'r', linewidth=2, label = 'Critically damped')\n", "ax.plot(t, y_fir, 'g', linewidth=2, label = 'FIR (freq. not corrected)')\n", "ax.legend()\n", "ax.set_xlabel('Time (s)')\n", "ax.set_ylabel('Amplitude')\n", "ax.set_title('Freq = 100 Hz, Fc = 10 Hz, 2nd order and zero-phase shift filters')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "MRKUK8rSwDtk" }, "source": [ "### Moving-average filter\n", "\n", "Here are four different versions of a function to implement the moving-average filter:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "id": "0cbqDWpewDtk" }, "outputs": [], "source": [ "def moving_averageV1(x, window):\n", " \"\"\"Moving average of 'x' with window size 'window'.\"\"\"\n", " y = np.empty(len(x)-window+1)\n", " for i in range(len(y)):\n", " y[i] = np.sum(x[i:i+window])/window\n", " return y\n", "\n", "def moving_averageV2(x, window):\n", " \"\"\"Moving average of 'x' with window size 'window'.\"\"\"\n", " xsum = np.cumsum(x)\n", " xsum[window:] = xsum[window:] - xsum[:-window]\n", " return xsum[window-1:]/window\n", "\n", "def moving_averageV3(x, window):\n", " \"\"\"Moving average of 'x' with window size 'window'.\"\"\"\n", " return np.convolve(x, np.ones(window)/window, 'same')\n", "\n", "from scipy.signal import lfilter\n", "\n", "def moving_averageV4(x, window):\n", " \"\"\"Moving average of 'x' with window size 'window'.\"\"\"\n", " return lfilter(np.ones(window)/window, 1, x)" ] }, { "cell_type": "markdown", "metadata": { "id": "iskc41x1wDtk" }, "source": [ "Let's test these versions:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "id": "D1ufeXLLwDtn", "outputId": "2bb3a756-245a-4ca6-d297-bdb1b4da86f0", "colab": { "base_uri": "https://localhost:8080/", "height": 465 } }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "x = np.random.randn(300)/10\n", "x[100:200] += 1\n", "window = 10\n", "\n", "y1 = moving_averageV1(x, window)\n", "y2 = moving_averageV2(x, window)\n", "y3 = moving_averageV3(x, window)\n", "y4 = moving_averageV4(x, window)\n", "\n", "# plot\n", "fig, ax = plt.subplots(1, 1, figsize=(10, 5))\n", "ax.plot(x, 'b-', linewidth=1, label = 'raw data')\n", "ax.plot(y1, 'y-', linewidth=2, label = 'moving average V1')\n", "ax.plot(y2, 'm--', linewidth=2, label = 'moving average V2')\n", "ax.plot(y3, 'r-', linewidth=2, label = 'moving average V3')\n", "ax.plot(y4, 'g-', linewidth=2, label = 'moving average V4')\n", "ax.legend(frameon=False, loc='upper right', fontsize=12)\n", "ax.set_xlabel(\"Data #\")\n", "ax.set_ylabel(\"Amplitude\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "vbZnLJobwDto" }, "source": [ "A test of the performance of the four versions (using the magick IPython function `timeit`):" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "id": "Iwm0XSwdwDto", "outputId": "355f81fe-ab26-4dfe-d1be-ac2eb5aeeea2", "colab": { "base_uri": "https://localhost:8080/" } }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "3.03 ms ± 520 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n", "21.9 µs ± 3.76 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n", "37.1 µs ± 10.7 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n", "162 µs ± 50.7 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n" ] } ], "source": [ "%timeit moving_averageV1(x, window)\n", "%timeit moving_averageV2(x, window)\n", "%timeit moving_averageV3(x, window)\n", "%timeit moving_averageV4(x, window)" ] }, { "cell_type": "markdown", "metadata": { "id": "hEDiAjXjwDto" }, "source": [ "The version with the cumsum function produces identical results to the first version of the moving average function but it is much faster (the fastest of the four versions). \n", "Only the version with the convolution function produces a result without a phase or lag between the input and output data, although we could improve the other versions to account for that (for example, calculating the moving average of `x[i-window/2:i+window/2]` and using `filtfilt` instead of `lfilter`). \n", "And avoid as much as possible the use of loops in Python! The version with the for loop is about one hundred times slower than the other versions." ] }, { "cell_type": "markdown", "metadata": { "id": "G00WbgNYwDto" }, "source": [ "### Moving-RMS filter\n", "\n", "The root-mean square (RMS) is a measure of the absolute amplitude of the data and it is useful when the data have positive and negative values. The RMS is defined as:\n", "\n", "$$ RMS = \\sqrt{\\frac{1}{N}\\sum_{i=1}^{N} x_i^2} $$\n", "\n", "Similar to the moving-average measure, the moving RMS is defined as:\n", "\n", "$$ y[i] = \\sqrt{\\sum_{j=0}^{m-1} (x[i+j])^2} \\;\\;\\;\\; for \\;\\;\\; i=1, \\; \\dots, \\; n-m+1 $$\n", "\n", "Here are two implementations for a moving-RMS filter (very similar to the moving-average filter):" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "id": "5wfOhV6CwDto" }, "outputs": [], "source": [ "import numpy as np\n", "from scipy.signal import filtfilt\n", "\n", "def moving_rmsV1(x, window):\n", " \"\"\"Moving RMS of 'x' with window size 'window'.\"\"\"\n", " window = 2*window + 1\n", " return np.sqrt(np.convolve(x*x, np.ones(window)/window, 'same'))\n", "\n", "def moving_rmsV2(x, window):\n", " \"\"\"Moving RMS of 'x' with window size 'window'.\"\"\"\n", " return np.sqrt(filtfilt(np.ones(window)/(window), [1], x*x))" ] }, { "cell_type": "markdown", "metadata": { "id": "z0Ps6u5bwDto" }, "source": [ "Let's filter electromyographic data:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "id": "ry74eJhxwDtp" }, "outputs": [], "source": [ "# load data file with EMG signal\n", "data = pd.read_csv('https://raw.githubusercontent.com/BMClab/BMC/master/data/emg.csv').to_numpy()\n", "data = data[300:1000,:]\n", "time = data[:, 0]\n", "data = data[:, 1] - np.mean(data[:, 1])" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "id": "cVktExQtwDtp" }, "outputs": [], "source": [ "window = 50\n", "y1 = moving_rmsV1(data, window)\n", "y2 = moving_rmsV2(data, window)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "id": "naLKol2-wDtp", "outputId": "e6f4ad77-36ff-42c9-91f7-323e139de602", "colab": { "base_uri": "https://localhost:8080/", "height": 470 } }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ], "source": [ "# plot\n", "fig, ax = plt.subplots(1, 1, figsize=(9, 5))\n", "ax.plot(time, data, 'k-', linewidth=1, label = 'raw data')\n", "ax.plot(time, y1, 'r-', linewidth=2, label = 'moving RMS V1')\n", "ax.plot(time, y2, 'b-', linewidth=2, label = 'moving RMS V2')\n", "ax.legend(frameon=False, loc='upper right', fontsize=12)\n", "ax.set_xlabel(\"Time [s]\")\n", "ax.set_ylabel(\"Amplitude\")\n", "ax.set_ylim(-.1, .1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "KUmCe7vKwDtp" }, "source": [ "Similar, but not the same, results.\n", "An advantage of the filter employing the convolution method is that it behaves better to abrupt changes in the data, such as when filtering data that change from a baseline at zero to large positive values. The filter with the `filter` or `filtfilt` function would introduce negative values in this case. \n", "Another advantage for the convolution method is that it is much faster:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "id": "-2mKW-F1wDtp", "outputId": "cf35db5f-5122-4ea4-dfed-a9dbf3b52593", "colab": { "base_uri": "https://localhost:8080/" } }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Filter with convolution:\n", "70.9 µs ± 28 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n", "Filter with filtfilt:\n", "The slowest run took 4.55 times longer than the fastest. This could mean that an intermediate result is being cached.\n", "1.09 ms ± 854 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n" ] } ], "source": [ "print('Filter with convolution:')\n", "%timeit moving_rmsV1(data, window)\n", "print('Filter with filtfilt:')\n", "%timeit moving_rmsV2(data, window)" ] }, { "cell_type": "markdown", "metadata": { "id": "AiYJatPewDtp" }, "source": [ "### Moving-median filter\n", "\n", "The moving-median filter is similar in concept than the other moving filters but uses the median instead. This filter has a sharper response to abrupt changes in the data than the moving-average filter:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "id": "RUAYHN4BwDtp", "outputId": "6773e6bf-3040-443e-9d0e-dbc5f221017f", "colab": { "base_uri": "https://localhost:8080/", "height": 388 } }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "from scipy.signal import medfilt\n", "\n", "x = np.random.randn(300)/10\n", "x[100:200] += 1\n", "window = 11\n", "\n", "y = np.convolve(x, np.ones(window)/window, 'same')\n", "y2 = medfilt(x, window)\n", "\n", "# plot\n", "fig, ax = plt.subplots(1, 1, figsize=(10, 4))\n", "ax.plot(x, 'b-', linewidth=1, label = 'raw data')\n", "ax.plot(y, 'r-', linewidth=2, label = 'moving average')\n", "ax.plot(y2, 'g-', linewidth=2, label = 'moving median')\n", "ax.legend(frameon=False, loc='upper right', fontsize=12)\n", "ax.set_xlabel(\"Data #\")\n", "ax.set_ylabel(\"Amplitude\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "Ic1yxktjwDtq" }, "source": [ "### More moving filters\n", "\n", "The library [pandas](https://pandas.pydata.org/) has several types of [moving-filter functions](https://pandas.pydata.org/pandas-docs/version/0.15/computation.html#moving-rolling-statistics-moments)." ] }, { "cell_type": "markdown", "metadata": { "id": "4_L4fM5owDtq" }, "source": [ "## Numerical differentiation of data with noise\n", "\n", "How to remove noise from a signal is rarely a trivial task and this problem gets worse with numerical differentiation of the data because the amplitudes of the noise with higher frequencies than the signal are amplified with differentiation (for each differentiation step, the SNR decreases). \n", "To demonstrate this problem, consider the following function representing some experimental data:\n", "\n", "$$ f = sin(\\omega t) + 0.1sin(10\\omega t) $$\n", "\n", "The first component, with large amplitude (1) and small frequency (1 Hz), represents the signal and the second component, with small amplitude (0.1) and large frequency (10 Hz), represents the noise. The signal-to-noise ratio (SNR) for these data is equal to (1/0.1)$^2$ = 100. Let's see what happens with the SNR for the first and second derivatives of $f$:\n", "\n", "$$ f\\:'\\:= \\omega cos(\\omega t) + \\omega cos(10\\omega t) $$\n", "\n", "$$ f\\:''= -\\omega^2 sin(\\omega t) - 10\\omega^2 sin(10\\omega t) $$\n", "\n", "For the first derivative, SNR = 1, and for the second derivative, SNR = 0.01! \n", "The following plots illustrate this problem:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "id": "iL1_anMmwDtq", "outputId": "2ee2bc22-08f3-45aa-d7fd-ede143618218", "colab": { "base_uri": "https://localhost:8080/", "height": 637 } }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "t = np.arange(0,1,.01)\n", "w = 2*np.pi*1 # 1 Hz\n", "#signal and noise derivatives:\n", "s = np.sin(w*t); n = 0.1*np.sin(10*w*t)\n", "sd = w*np.cos(w*t); nd = w*np.cos(10*w*t)\n", "sdd = -w*w*np.sin(w*t); ndd = -w*w*10*np.sin(10*w*t)\n", "\n", "plt.rc('axes', labelsize=16, titlesize=16)\n", "plt.rc('xtick', labelsize=12)\n", "plt.rc('ytick', labelsize=12)\n", "fig, (ax1,ax2,ax3) = plt.subplots(3, 1, sharex = True, figsize=(8, 6))\n", "\n", "ax1.set_title('Differentiation of signal and noise')\n", "ax1.plot(t, s, 'b.-', linewidth=1, label = 'signal')\n", "ax1.plot(t, n, 'g.-', linewidth=1, label = 'noise')\n", "ax1.plot(t, s+n, 'r.-', linewidth=2, label = 'signal+noise')\n", "ax2.plot(t, sd, 'b.-', linewidth=1)\n", "ax2.plot(t, nd, 'g.-', linewidth=1)\n", "ax2.plot(t, sd + nd, 'r.-', linewidth=2)\n", "ax3.plot(t, sdd, 'b.-', linewidth=1)\n", "ax3.plot(t, ndd, 'g.-', linewidth=1)\n", "ax3.plot(t, sdd + ndd, 'r.-', linewidth=2)\n", "\n", "ax1.legend(frameon=False, fontsize=10)\n", "ax1.set_ylabel('f')\n", "ax2.set_ylabel(\"f '\")\n", "ax3.set_ylabel(\"f ''\")\n", "ax3.set_xlabel(\"Time (s)\")\n", "fig.tight_layout(pad=0)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "qnV_Hb_ewDtq" }, "source": [ "Let's see how the use of a low-pass Butterworth filter can attenuate the high-frequency noise and how the derivative is affected. \n", "We will also calculate the [Fourier transform](https://en.wikipedia.org/wiki/Fourier_transform) of these data to look at their frequencies content." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "id": "3RsxlGeOwDtq" }, "outputs": [], "source": [ "from scipy import signal, fftpack\n", "\n", "freq = 100\n", "t = np.arange(0,1,.01);\n", "w = 2*np.pi*1 # 1 Hz\n", "y = np.sin(w*t)+0.1*np.sin(10*w*t)\n", "# Butterworth filter\n", "# Correct the cutoff frequency for the number of passes in the filter\n", "C = 0.802\n", "b, a = signal.butter(2, (5/C)/(freq/2), btype = 'low')\n", "y2 = signal.filtfilt(b, a, y)\n", "# 2nd derivative of the data\n", "ydd = np.diff(y,2)*freq*freq # raw data\n", "y2dd = np.diff(y2,2)*freq*freq # filtered data\n", "# frequency content\n", "yfft = np.abs(fftpack.fft(y))/(y.size/2) # raw data\n", "y2fft = np.abs(fftpack.fft(y2))/(y.size/2) # filtered data\n", "freqs = fftpack.fftfreq(y.size, 1./freq)\n", "yddfft = np.abs(fftpack.fft(ydd))/(ydd.size/2)\n", "y2ddfft = np.abs(fftpack.fft(y2dd))/(ydd.size/2)\n", "freqs2 = fftpack.fftfreq(ydd.size, 1./freq)" ] }, { "cell_type": "markdown", "metadata": { "id": "xnVOy3FUwDtr" }, "source": [ "And the plots:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "id": "jolYthwiwDtr", "outputId": "c6f17d07-49a5-4e2c-c67f-01f5021de4b2", "colab": { "base_uri": "https://localhost:8080/", "height": 498 } }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ], "source": [ "fig, ((ax1,ax2),(ax3,ax4)) = plt.subplots(2, 2, figsize=(11, 5))\n", "\n", "ax1.set_title('Temporal domain', fontsize=14)\n", "ax1.plot(t, y, 'r', linewidth=2, label = 'raw data')\n", "ax1.plot(t, y2, 'b', linewidth=2, label = 'filtered @ 5 Hz')\n", "ax1.set_ylabel('f')\n", "ax1.legend(frameon=False, fontsize=12)\n", "\n", "ax2.set_title('Frequency domain', fontsize=14)\n", "ax2.plot(freqs[:int(yfft.size/4)], yfft[:int(yfft.size/4)],'r', linewidth=2,label='raw data')\n", "ax2.plot(freqs[:int(yfft.size/4)],y2fft[:int(yfft.size/4)],'b--',linewidth=2,label='filtered @ 5 Hz')\n", "ax2.set_ylabel('FFT(f)')\n", "ax2.legend(frameon=False, fontsize=12)\n", "\n", "ax3.plot(t[:-2], ydd, 'r', linewidth=2, label = 'raw')\n", "ax3.plot(t[:-2], y2dd, 'b', linewidth=2, label = 'filtered @ 5 Hz')\n", "ax3.set_xlabel('Time [s]')\n", "ax3.set_ylabel(\"f ''\")\n", "\n", "ax4.plot(freqs[:int(yddfft.size/4)], yddfft[:int(yddfft.size/4)], 'r', linewidth=2, label = 'raw')\n", "ax4.plot(freqs[:int(yddfft.size/4)],y2ddfft[:int(yddfft.size/4)],'b--',linewidth=2, label = 'filtered @ 5 Hz')\n", "ax4.set_xlabel('Frequency [Hz]')\n", "ax4.set_ylabel(\"FFT(f '')\");" ] }, { "cell_type": "markdown", "metadata": { "id": "xPFfgtUPwDtr" }, "source": [ "## Pezzack's benchmark data\n", "\n", "In 1977, Pezzack, Norman and Winter published a paper where they investigated the effects of differentiation and filtering processes on experimental data (the angle of a bar manipulated in space). Since then, these data have became a benchmark to test new algorithms. Let's work with these data (available at [https://isbweb.org/data/pezzack/index.html](https://isbweb.org/data/pezzack/index.html)). The data have the angular displacement measured by video and the angular acceleration directly measured by an accelerometer, which we will consider as the true acceleration." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "id": "3Et6f5tcwDtr" }, "outputs": [], "source": [ "data = pd.read_csv('https://raw.githubusercontent.com/BMClab/BMC/master/data/Pezzack.txt',\n", " sep='\\t', header=None, skiprows=6).to_numpy()\n", "time, disp, disp2, aacc = data[:, 0], data[:, 1], data[:, 2], data[:, 3]" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "id": "DxvaxlHRwDtr", "outputId": "cc566a4a-5ba2-481f-dc70-2d7cf00bc715", "colab": { "base_uri": "https://localhost:8080/", "height": 438 } }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ], "source": [ "# load data file\n", "dt = np.mean(np.diff(time))\n", "# plot data\n", "fig, (ax1, ax2) = plt.subplots(1, 2, sharex=True, figsize=(11, 4))\n", "plt.suptitle(\"Pezzack's benchmark data\", fontsize=20)\n", "ax1.plot(time, disp, 'b.-')\n", "ax1.set_xlabel('Time [s]')\n", "ax1.set_ylabel('Angular displacement [rad]', fontsize=12)\n", "ax2.plot(time, aacc, 'g.-')\n", "ax2.set_xlabel('Time [s]')\n", "ax2.set_ylabel('Angular acceleration [rad/s$^2$]', fontsize=12)\n", "plt.subplots_adjust(wspace=0.3)" ] }, { "cell_type": "markdown", "metadata": { "id": "GkgkL3cFwDtr" }, "source": [ "The challenge is how to obtain the acceleration using the disclacement data dealing with the noise. \n", "A simple double differentiation of these data will amplify the noise:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "id": "wxRrMGVOwDtr", "outputId": "bf7b711d-2f41-4f6e-d2a7-ecddaca7fad4", "colab": { "base_uri": "https://localhost:8080/", "height": 436 } }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "# acceleration using the 2-point forward difference algorithm:\n", "aacc2 = np.diff(disp, 2)/dt/dt # aacc2 has 2 points less than aacc\n", "# plot data\n", "fig, ax1 = plt.subplots(1, 1, figsize=(11, 4))\n", "plt.suptitle(\"Pezzack's benchmark data\", fontsize=20)\n", "ax1.plot(time, aacc, 'g', label='Analog acceleration (true value)')\n", "ax1.plot(time[1:-1], aacc2, 'r', label='Acceleration by 2-point difference')\n", "ax1.set_xlabel('Time [s]', fontsize=12)\n", "ax1.set_ylabel('Angular acceleration [rad/s$^2$]', fontsize=12)\n", "plt.legend(frameon=False, fontsize=12, loc='upper left');" ] }, { "cell_type": "markdown", "metadata": { "id": "qg9B-6jxwDts" }, "source": [ "The source of noise in these data is due to random small errors in the digitization process which occur at each frame, because that the frequency content of the noise is up to half of the sampling frequency, higher the frequency content of the movement being analyzed. \n", "Let's try different filters ([Butterworth](https://en.wikipedia.org/wiki/Butterworth_filter), [Savitzky-Golay](https://en.wikipedia.org/wiki/Savitzky%E2%80%93Golay_smoothing_filter), and [spline](https://en.wikipedia.org/wiki/Spline_function)) to attenuate this noise. \n", "\n", "Both Savitzky-Golay and the spline functions are based on fitting polynomials to the data and they allow to differentiate the polynomials in order to get the derivatives of the data (instead of direct numerical differentiation of the data). \n", "The Savitzky-Golay and the spline functions have the following signatures: \n", "```python\n", "savgol_filter(x, window_length, polyorder, deriv=0, delta=1.0, axis=-1, mode='interp', cval=0.0) \n", "splrep(x, y, w=None, xb=None, xe=None, k=3, task=0, s=None, t=None, full_output=0, per=0, quiet=1)\n", "```\n", "And to evaluate the spline derivatives: \n", "```python\n", "splev(x, tck, der=0, ext=0)\n", "```\n", "\n", "And let's employ the [root-mean-square error (RMSE)](https://en.wikipedia.org/wiki/RMSE) metric to compare their performance:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "id": "4O7RRkjXwDts" }, "outputs": [], "source": [ "from scipy import signal, interpolate\n", "\n", "# Butterworth filter\n", "# Correct the cutoff frequency for the number of passes in the filter\n", "C = 0.802\n", "b, a = signal.butter(2, (9/C)/((1/dt)/2))\n", "dispBW = signal.filtfilt(b, a, disp)\n", "aaccBW = np.diff(dispBW, 2)/dt/dt # aaccBW has 2 points less than aacc\n", "\n", "# Add (pad) data to the extremities to avoid problems with filtering\n", "disp_pad = signal._arraytools.odd_ext(disp, n=11)\n", "time_pad = signal._arraytools.odd_ext(time, n=11)\n", "\n", "# Savitzky-Golay filter\n", "aaccSG = signal.savgol_filter(disp_pad,window_length=5,polyorder=3,deriv=2,delta=dt)[11:-11]\n", "\n", "# Spline smoothing\n", "tck = interpolate.splrep(time_pad, disp_pad, k=5, s=0.15*np.var(disp_pad)/np.size(disp_pad))\n", "aaccSP = interpolate.splev(time_pad, tck, der=2)[11:-11]\n", "\n", "# RMSE:\n", "rmseBW = np.sqrt(np.mean((aaccBW-aacc[1:-1])**2))\n", "rmseSG = np.sqrt(np.mean((aaccSG-aacc)**2))\n", "rmseSP = np.sqrt(np.mean((aaccSP-aacc)**2))" ] }, { "cell_type": "markdown", "metadata": { "id": "0pcYErw3wDts" }, "source": [ "And the plots:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "id": "ItyVL7O1wDts", "outputId": "c5df580a-e34a-4f88-c6ba-0987e65ab9da", "colab": { "base_uri": "https://localhost:8080/", "height": 438 } }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "# plot data\n", "fig, ax1 = plt.subplots(1, 1, figsize=(11, 4))\n", "plt.suptitle(\"Pezzack's benchmark data\", fontsize=20)\n", "ax1.plot(time, aacc, 'g', label='Analog acceleration: (True value)')\n", "ax1.plot(time[1:-1], aaccBW, 'r', label='Butterworth 9 Hz: RMSE = %0.2f' %rmseBW)\n", "ax1.plot(time,aaccSG,'b', label='Savitzky-Golay 5 points: RMSE = %0.2f' %rmseSG)\n", "ax1.plot(time,aaccSP,'m', label='Quintic spline, s=0.0005: RMSE = %0.2f' %rmseSP)\n", "ax1.set_xlabel('Time [s]')\n", "ax1.set_ylabel('Angular acceleration [rad/s$^2$]', fontsize=12)\n", "plt.legend(frameon=False, fontsize=12, loc='upper left');" ] }, { "cell_type": "markdown", "metadata": { "id": "Y2nLk-avwDts" }, "source": [ "At this case, the Butterworth, Savitzky-Golay, and spline filters produced similar results with good fits to the original curve. However, with all of them, particularly with the spline smoothing, it is necessary some degree of tuning for choosing the right parameters. The Butterworth filter is the easiest one because the cutoff frequency choice sound more familiar for human movement analysis." ] }, { "cell_type": "markdown", "metadata": { "id": "BLaqBQpuwDts" }, "source": [ "## Kinematics of a ball toss\n", "\n", "Let's now analyse the kinematic data of a ball tossed to the space. These data were obtained using [Tracker](https://physlets.org/tracker/), which is a free video analysis and modeling tool built on the [Open Source Physics](https://www.compadre.org/osp/) (OSP) Java framework. \n", "The data are from the analysis of the video *balltossout.mov* from the mechanics video collection which can be obtained in the Tracker website." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "id": "dX7X7xMFwDtt", "outputId": "4f8968d6-b0b6-427a-aec8-e9c75f65bf8d", "colab": { "base_uri": "https://localhost:8080/" } }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Time interval: 0.033333 s\n", "x and y values:\n" ] }, { "output_type": "execute_result", "data": { "text/plain": [ "(array([-0.5261959 , -0.47022949, -0.41424847, -0.35758601, -0.3014982 ,\n", " -0.24478176, -0.18752785, -0.13093786, -0.07289294, -0.01740141,\n", " 0.03954446, 0.09656871, 0.15395135, 0.21139876, 0.26890565,\n", " 0.32733887, 0.38568062, 0.44373606, 0.50262023, 0.56204422,\n", " 0.62228805, 0.68445434]),\n", " array([-0.0022779 , 0.08077725, 0.15225886, 0.21303943, 0.26297201,\n", " 0.30213759, 0.33099039, 0.34843908, 0.35535308, 0.35101924,\n", " 0.33603197, 0.30988308, 0.27205718, 0.22409941, 0.16461168,\n", " 0.09366908, 0.0122238 , -0.08179336, -0.1863157 , -0.30312601,\n", " -0.43167532, -0.5731189 ]))" ] }, "metadata": {}, "execution_count": 31 } ], "source": [ "data = pd.read_csv('https://raw.githubusercontent.com/BMClab/BMC/master/data/balltoss.txt',\n", " sep='\\t', header=None, skiprows=2).to_numpy()\n", "t, x, y = data[:, 0], data[:, 1], data[:, 2]\n", "dt = np.mean(np.diff(t))\n", "print('Time interval: %f s' %dt)\n", "print('x and y values:')\n", "x, y" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "id": "10FojQdOwDtt", "outputId": "6e4eda8c-bed1-4ae2-f90b-ffbbc12e7b3e", "colab": { "base_uri": "https://localhost:8080/", "height": 355 } }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ], "source": [ "plt.rc('axes', labelsize=12)\n", "plt.rc('xtick', labelsize=12)\n", "plt.rc('ytick', labelsize=12)\n", "fig, (ax1,ax2,ax3) = plt.subplots(1, 3, figsize=(12, 3))\n", "plt.suptitle('Kinematics of a ball toss', fontsize=14, y=1)\n", "ax1.plot(x, y, 'go')\n", "ax1.set_ylabel('y [m]')\n", "ax1.set_xlabel('x [m]')\n", "ax2.plot(t, x, 'bo')\n", "ax2.set_ylabel('x [m]')\n", "ax2.set_xlabel('Time [s]')\n", "ax3.plot(t, y, 'ro')\n", "ax3.set_ylabel('y [m]')\n", "ax3.set_xlabel('Time [s]')\n", "plt.subplots_adjust(wspace=0.4)" ] }, { "cell_type": "markdown", "metadata": { "id": "Pp3ofxiewDtt" }, "source": [ "Calculate the velocity and acceleration numerically:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "id": "M0H7xfilwDtt" }, "outputs": [], "source": [ "# forward difference algorithm:\n", "vx, vy = np.diff(x)/dt, np.diff(y)/dt\n", "ax, ay = np.diff(vx)/dt, np.diff(vy)/dt\n", "# central difference algorithm:\n", "vx2, vy2 = (x[2:]-x[:-2])/(2*dt), (y[2:]-y[:-2])/(2*dt)\n", "ax2, ay2 = (vx2[2:]-vx2[:-2])/(2*dt), (vy2[2:]-vy2[:-2])/(2*dt)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "id": "sv2DDEC5wDtt", "outputId": "51b494c5-f85a-44ec-ced5-a62ed6b6fc3f", "colab": { "base_uri": "https://localhost:8080/", "height": 651 } }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ], "source": [ "fig, axarr = plt.subplots(2, 3, sharex = True, figsize=(11, 6))\n", "axarr[0,0].plot(t, x, 'bo')\n", "axarr[0,0].set_ylabel('x [m]')\n", "axarr[0,1].plot(t[:-1], vx, 'bo', label='forward difference'); axarr[0,1].set_ylabel('vx [m/s]')\n", "axarr[0,1].plot(t[1:-1], vx2, 'm+', markersize=10, label='central difference')\n", "axarr[0,1].legend(frameon=False, fontsize=10, loc='upper left', numpoints=1)\n", "axarr[0,2].plot(t[:-2], ax, 'bo')\n", "axarr[0,2].set_ylabel('ax [m/s$^2$]')\n", "axarr[0,2].plot(t[2:-2], ax2, 'm+', markersize=10)\n", "axarr[1,0].plot(t, y, 'ro')\n", "axarr[1,0].set_ylabel('y [m]')\n", "axarr[1,1].plot(t[:-1], vy, 'ro')\n", "axarr[1,1].set_ylabel('vy [m/s]')\n", "axarr[1,1].plot(t[1:-1], vy2, 'm+', markersize=10)\n", "axarr[1,2].plot(t[:-2], ay, 'ro')\n", "axarr[1,2].set_ylabel('ay [m/s$^2$]')\n", "axarr[1,2].plot(t[2:-2], ay2, 'm+', markersize=10)\n", "axarr[1,1].set_xlabel('Time [s]')\n", "plt.tight_layout(w_pad=-.5, h_pad=0)\n", "plt.suptitle('Kinematics of a ball toss', fontsize=14, y=1.05);" ] }, { "cell_type": "markdown", "metadata": { "id": "rSuTzoebwDtt" }, "source": [ "We can observe the noise, particularly in the derivatives of the data. For example, the vertical acceleration of the ball should be constant, approximately g=9.8 m/s$^2$. \n", "To estimate the acceleration, we can get rid off the noise by filtering the data or, because we know the physics of the phenomenon, we can fit a model to the data. Let's try the latter option." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "id": "b4TsZcnnwDtu", "outputId": "fe070870-ea39-41db-9d8c-f1256aa3ffc0", "colab": { "base_uri": "https://localhost:8080/" } }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "g = -9.98 m/s2\n" ] } ], "source": [ "# Model: y = y0 + v0*t + 1/2*g*t^2\n", "# fit a second order polynomial to the data\n", "p = np.polyfit(t, y, 2)\n", "print('g = %0.2f m/s2' % (2*p[0]))" ] }, { "cell_type": "markdown", "metadata": { "id": "QzhQhx-OwDtu" }, "source": [ "A good estimation but is seems there is a problem with the video because the acceleration at the end seems to increase (see figure above); maybe there is a distortion in the video at its extremity.\n", "\n", "To read more about fitting a model to data (in this case a mathematical equation), read the text [curve fitting](http://nbviewer.ipython.org/github/demotu/BMC/blob/master/notebooks/CurveFitting.ipynb)." ] }, { "cell_type": "markdown", "metadata": { "id": "AumTHzV-wDtu" }, "source": [ "## The optimal cutoff frequency\n", "\n", "Probably after reading this tutorial you are wondering how to automatically determine the optimal cutoff frequency that should be employed in a low-pass filter to attenuate as much as possible the noise without compromising the signal content in the data. \n", "This is an important topic in signal processing, particularly in movement science, and we discuss one method for that in the text [Residual analysis to determine the optimal cutoff frequency](https://nbviewer.org/github/BMClab/BMC/blob/master/notebooks/ResidualAnalysis.ipynb)." ] }, { "cell_type": "markdown", "metadata": { "id": "FRKwtiRvwDtu" }, "source": [ "## References\n", "\n", "- David A. Winter (2009) [Biomechanics and motor control of human movement](http://books.google.com.br/books?id=_bFHL08IWfwC). 4th edition. Hoboken: Wiley.\n", "- [dspGuru - Digital Signal Processing Central](http://www.dspguru.com/).\n", "- Gordon Robertson, Graham Caldwell, Joseph Hamill, Gary Kamen (2013) [Research Methods in Biomechanics](http://books.google.com.br/books?id=gRn8AAAAQBAJ). 2nd Edition. Human Kinetics. \n", "- Pezzack JC, Norman RW, & Winter DA (1977). [An assessment of derivative determining techniques used for motion analysis](http://www.health.uottawa.ca/biomech/courses/apa7305/JB-Pezzack-Norman-Winter-1977.pdf). Journal of Biomechanics, 10, 377-382. [PubMed](http://www.ncbi.nlm.nih.gov/pubmed/893476).\n", "- Richard G. Lyons (2010) [Understanding Digital Signal Processing](http://books.google.com.br/books?id=UBU7Y2tpwWUC&hl). 3rd edition. Prentice Hall. \n", "- Robertson DG, Dowling JJ (2003) [Design and responses of Butterworth and critically damped digital filters](https://www.ncbi.nlm.nih.gov/pubmed/14573371). J Electromyogr Kinesiol. 13(6), 569-573." ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.6" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": false, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "nbTranslate": { "displayLangs": [ "*" ], "hotkey": "alt-t", "langInMainMenu": true, "sourceLang": "en", "targetLang": "fr", "useGoogleTranslate": true }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false }, "colab": { "provenance": [], "include_colab_link": true } }, "nbformat": 4, "nbformat_minor": 0 }