{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Universidade Federal do Rio Grande do Sul (UFRGS) \n", "Programa de Pós-Graduação em Engenharia Civil (PPGEC) \n", "\n", "# PEC00144: Experimental Methods in Civil Engineering\n", "\n", "\n", "### Part II: Instrumentation\n", "[8. Analog signals processing](#section_8) \n", "\n", "   [8.1. Autocovariance function and stationarity](#section_81) \n", "   [8.2. Fourier series and Fourier transform](#section_82) \n", "   [8.3. Power spectral density and periodograms](#section_83) \n", "   [8.4. White noise and pink noise](#section_84) \n", "   [8.5. Signal derivation and integration](#section_85) \n", "   [8.6. Basic stationarity test](#section_86) \n", "   [8.7. Level upcrossing rate and peak factor](#section_87) \n", "   [8.8. Frequency domain signal filtering](#section_88) \n", "   [8.9. Cross correlation and coherence functions](#section_89) \n", "\n", "---\n", "_Prof. Marcelo M. Rocha, Dr.techn._ [(ORCID)](https://orcid.org/0000-0001-5640-1020) \n", "_Porto Alegre, RS, Brazil_ \n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Importing Python modules required for this notebook\n", "# (this cell must be executed with \"shift+enter\" before any other Python cell)\n", "\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "\n", "from MRPy import MRPy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 8. Analog signals processing \n", "\n", "### 8.1. Autocovariance function and stationarity \n", "\n", "Analog signals are the outcome of some physical measurement, usually some electrical \n", "quantity like voltage, current, or electric charge. The magnitude of such quantities \n", "are expected to be _analogous_ to some observed physical quantity, like stress, \n", "force, displacement, acceleration, etc. \n", "\n", "An analog signal is generally considered as a random process, $X(t)$. A random process\n", "is a time dependent random variable, what requires its statistical properties to be also\n", "regarded as time dependent.\n", "\n", "The autocovariance function, $C_X(\\tau)$, of a random process, $X(t)$, is defined as the\n", "first cross moment between the process amplitude at two time instants:\n", "\n", "$$ C_X(t_1, t_2) = {\\rm E}\\left\\{ X(t_1) X(t_2) \\right\\} - \\mu_1\\mu_2$$\n", "\n", "where $\\mu_1$ and $\\mu_2$ are the mean value of $X(t)$ at instants $t_1$ and $t_2$,\n", "respectively.\n", "If a random process is _stationary_, its statistical properties are assumed to be\n", "_independent of time_, and the expression above depends only on the time gap, \n", "$\\tau = t_2 - t_1$:\n", "\n", "$$ C_X(\\tau) = {\\rm E}\\left\\{ X(t) X(t + \\tau) \\right\\} - \\mu_X^2 $$\n", "\n", "The definitions above exclude the mean value of $X(t)$, keeping only the time\n", "dependent part of its amplitude. Furthermore, it is evident that the autocovariance\n", "function is a _pair function_ (symmetric over the axis $\\tau = 0$) and that at origin:\n", "\n", "$$ C_X(0) = {\\rm E}\\left\\{ X^2(t) \\right\\} - \\mu_X^2 = \\sigma_X^2$$\n", "\n", "which is the process _variance_.\n", "The autocovariance function can be normalized by $\\sigma_X^2$ resulting in the\n", "process _autocorrelation function_:\n", "\n", "$$ R^2_X(\\tau) = \\frac{C_X(\\tau)}{\\sigma_X^2} $$\n", "\n", "which is also a pair function such that $-1 \\leq R_X(\\tau) \\leq +1$.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 8.2. Fourier series and Fourier transform \n", "\n", "An introduction to Fourier analysis can be found in [Class 7](https://nbviewer.jupyter.org/github/mmaiarocha/PEC00025/blob/master/resources/Class_07_FourierTransform.ipynb?flushcache=true) \n", "of the course [Introduction to Vibration Theory](https://github.com/mmaiarocha/PEC00025).\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 8.3. Power spectral density and periodograms \n", "\n", "The power spectral density, $S_X(\\omega)$, of a stationary random process is defined \n", "as the Fourier transform of the autocovariance function, $C_X(\\tau)$:\n", "\n", "$$ S_X(\\omega) = \\frac{1}{2\\pi} \\int_{-\\infty}^{+\\infty} {C_X(\\tau) e^{-i\\omega\\tau} \\, d\\tau}$$\n", "\n", "This means that $S_X(\\omega)$ and $C_X(\\tau)$ are a Fourier transform pair, and consequently:\n", "\n", "$$ C_X(\\tau) = \\int_{-\\infty}^{+\\infty} {S_X(\\omega) e^{i\\omega\\tau} \\, d\\omega} $$\n", "\n", "The definitions above implies that:\n", "\n", "$$ C_X(0) = \\int_{-\\infty}^{+\\infty} {S_X(\\omega) \\, d\\omega} = \\sigma_X^2$$\n", "\n", "what means that the total integral of the spectral density is, by definition,\n", "the process variance.\n", "\n", "The ``MRPy`` module provides a straightforward method for visualizing the \n", "spectral density estimator, called _periodogram_, and the corresponding autocorrelation\n", "function. Below is a short script where a cosine wave is analysed:\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Td = 2. # total signal duration (s)\n", "fs = 512 # sampling rate (Hz)\n", "N = int(Td*fs) # total number of samples\n", "\n", "f0 = 8. # cosine wave frequency (Hz)\n", "\n", "X0 = MRPy.harmonic(NX=1, N=N, fs=fs, X0=1.0, f0=f0, phi=0.0)\n", " \n", "f00 = X0.plot_time(fig=0, figsize=(8,3), axis_t=[0, Td, -2.0, 2.0])\n", "f01 = X0.plot_freq(fig=1, figsize=(8,3), axis_f=[0, 16, 0.0, 2.0]) # periodogram\n", "f02 = X0.plot_corr(fig=2, figsize=(8,3), axis_T=[0, 1, -2.0, 2.0]) # autocovariance\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It can be seen that the periodogram of a sine signal is a impulse function \n", "at the sine frequency. \n", "\n", "Below it is show how to simulate a process with given autocorrelation function.\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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7Dv/73/+q3Ldz505cvXoVdnZ26NSpk8r+hQsXKhVtV69exaZNm2Bra6tYUgoAPvnkExQXF+P999+v8iP/9PR0pTVXZ8yYgfLyckyfPl2lOCspKVH6auTKJeXu3r1buxN+TuWczWPHjim1b9u2Dfv371d7PHWUl5dj06ZN+PDDD2FsbIwVK1Yo7tyZmJjgww8/xO3bt/Hpp59WWRhfvny5yvVva0Mmk+Hnn39WmctcVFSEgoICmJqavvSOam3yPmrUKLi4uGD58uU4duwYRo4cCScnJ41iro1Dhw6hrKxMqU0ulyuuFwsLCwBA48aNIZFINLpmtKG6627p0qW4fPmySv+acm1mZobx48fjwYMHiIyMVNp35MgRHDhwAK1bt0a/fv20FT4RVYPTJ4j03IEDBxAaGqr4xenm5obCwkKkpKTg6NGjMDIywrp16yCVSpWOc3V1xePHj9G1a1cMHz4cT548wfbt21FSUoK///3vsLa2VvT985//jFOnTuH777/H8ePHMXjwYLi5uSEnJwdXr17F6dOnsW3bNsU6sR9++CGSkpLwr3/9C15eXhg5ciRsbGyQkZGBQ4cOITo6WrG+7Jtvvon//Oc/eO+99zBs2DCYm5ujc+fO1X55xPOCg4OxdOlSfPzxx0hISICHhwcuXryII0eO4N1338XOnTu1kuMjR46gpKQEAFBcXIy7d+8iOTkZmZmZsLe3x9atWzF48GClYyIiInDu3DmsXr0a+/btg6+vr2I920uXLuHChQs4efKkRkXm06dPMWjQILRs2RK9evWCu7s7CgsL8dNPPyE7Oxvz5s2r9sHESrXJu4mJCaZOnYqvvvoKgPoP2FV6Pn8vatGiheJLJ4KCgmBpaYn+/fvDw8MDcrkc8fHx+O233xAUFAR3d3cAzz6N6NGjB5KTk/GnP/0JXl5eMDIywoQJExR96lJoaCg2b96Md999F0FBQXBwcMCpU6dw7tw5DB8+HPv27VPq365dO7i5uWHHjh2wtLREs2bNIJFI8OGHH8LW1hZLly5FUlISvvzyS5w4cQK9evVSrFNsaWmJzZs3Vzn/n4i0TMerXxDRK7p69ar4+uuvRUBAgPD09BTm5ubC3NxctGrVSkyePFlp/eBKHh4ewsPDQ+Tl5Ylp06YJJycnIZVKRffu3cWePXuqfa/Y2FgxePBg0bhxY2FqaiqaNm0q/Pz8xPLly8X9+/eV+lZUVIh//OMfonfv3qJRo0bC0tJSeHl5idDQUJGRkaHoJ5fLxdy5c4W7u7swMTFRWmrrZUtvCSFESkqKCAwMFI0bNxbW1tbC19dXHDlypMZludRdkq3yJZFIhJWVlWjRooUYMWKE+Pbbb2tcE7qsrEx89913ol+/fsLGxkZIpVLh7u4u3nrrLbF+/XqlpcEql9lKT09XGWfRokUCgEhISBBCPFsybenSpSIwMFA0a9ZMmJmZCWdnZ+Hr6yt27NihdGx1Oawp78+7du2aACDc3d2V1sqtjdosyfb838W6devEyJEjhYeHhzA3NxcODg6iV69e4rvvvlNaH7syrmHDhgk7OzshkUiU8qPu331N11l1y6klJCSIfv36CWtra2FnZyeGDRsmzp49q/J3VenUqVPC19dXWFtbK879+b/r+/fvi08++UR4eHgIU1NT4ejoKMaMGSMuXbqkElNN1woRaU4ixAufvxFRg1d5R/f5KQ9EVfnXv/6FoKAgRERE4P/+7/90HQ4RUZ3h5zFERFQlIQRWrFgBExMThISE6DocIqI6xTnFRESk5NKlS/jpp59w4sQJnD59GqGhoVpdd5qIqD5iUUxERErOnj2Lzz77DHZ2dpg0aRK++eYbXYdERFTnOKeYiIiIiAwe5xQTERERkcFjUUxEREREBo9FMREREREZPBbFRERERGTwWBQTERERkcFjUUxEREREBk+nRXFkZCR69OgBa2trODk5YfTo0bh27dpLj0tKSoKPjw/Mzc3RsmVLbNiwQaVPXFwcOnToAKlUig4dOmDXrl11cQpERERE1ADotChOSkrCjBkzcOrUKcTHx6OsrAyBgYEoKiqq9pj09HQMGzYMAwYMwPnz5/HZZ5/hk08+QVxcnKLPyZMnERQUhODgYFy4cAHBwcEYO3YsTp8+/TpOi4iIiIj0TL368o779+/DyckJSUlJGDhwYJV95s2bh7179+LKlSuKttDQUFy4cAEnT54EAAQFBSE/Px8HDhxQ9HnrrbfQuHFjbN++vW5PgoiIiIj0Tr36mucnT54AAOzt7avtc/LkSQQGBiq1DRkyBNHR0ZDL5TA1NcXJkycxe/ZslT5RUVFVjimTySCTyRTbFRUVePjwIRwcHCCRSDQ8GyIiIiKqK0IIFBQUwM3NDUZGrz75od4UxUIIhIWFoX///ujUqVO1/bKzs+Hs7KzU5uzsjLKyMjx48ACurq7V9snOzq5yzMjISERERLz6SRARERHRa3Xnzh00a9bslcepN0XxRx99hIsXL+LYsWMv7fvi3dvKGSDPt1fVp7q7vuHh4QgLC1NsP3nyBO7u7khNTa3xrjUpk8vlSEhIgL+/P0xNTXUdjl5gzjTDvKmPOdMM86Y+5kwzzJv6Hj58iDZt2sDa2lor49WLovjjjz/G3r17kZyc/NJK38XFReWOb25uLkxMTODg4FBjnxfvHleSSqWQSqUq7fb29oox6eXkcjksLS3h4ODAf9C1xJxphnlTH3OmGeZNfcyZZpg3zWlrqqtOV58QQuCjjz7Czp078fPPP8PT0/Olx/Tp0wfx8fFKbYcPH0b37t0VF1F1ffr27au94ImIiIiowdBpUTxjxgz88MMP2LZtG6ytrZGdnY3s7Gw8ffpU0Sc8PByTJk1SbIeGhuL27dsICwvDlStXsGnTJkRHR+PTTz9V9Jk5cyYOHz6MpUuX4urVq1i6dCmOHDmCWbNmvc7TIyIiIiI9odOieP369Xjy5An8/Pzg6uqqeMXGxir6ZGVlISMjQ7Ht6emJ/fv3IzExEV27dsVf//pXrF69Gn/4wx8Uffr27YsdO3Zg8+bNeOONNxATE4PY2Fj06tXrtZ4fEREREekHnc4prs0SyTExMSptvr6+OHfuXI3HjRkzBmPGjNE0NCIiIiIyIDq9U0xEREREVB+wKCYiIiIig8eimIiIiIgMHotiIiIiIjJ4LIqJiIiIyOCxKCYiIiIig8eimIiIiIgMHotiIiIiIjJ4LIqJiIiIyOCxKCYiIiIig8eimIiIiIgMHotiIiIiIjJ4LIqJiIiIyOCxKCYiIiIig8eimIiIiIgMHotiIiIiIjJ4LIqJiIiIyODptChOTk7GiBEj4ObmBolEgt27d9fYf8qUKZBIJCqvjh07KvrExMRU2aekpKSOz4aIiIiI9JVOi+KioiJ06dIFa9asqVX/VatWISsrS/G6c+cO7O3t8d577yn1s7GxUeqXlZUFc3PzujgFIiIiImoATHT55kOHDsXQoUNr3d/W1ha2traK7d27d+PRo0f405/+pNRPIpHAxcVFa3ESERERUcOm13OKo6OjMXjwYHh4eCi1FxYWwsPDA82aNcPbb7+N8+fP6yhCIiIiItIHOr1T/CqysrJw4MABbNu2Tam9Xbt2iImJQefOnZGfn49Vq1ahX79+uHDhAry8vKocSyaTQSaTKbbz8/MBAHK5HHK5vO5OooGpzBVzVnvMmWaYN/UxZ5ph3tTHnGmGeVOftnMlEUIIrY6oIYlEgl27dmH06NG16h8ZGYnly5fj3r17MDMzq7ZfRUUFunXrhoEDB2L16tVV9lm8eDEiIiJU2rdt2wZLS8taxUNEREREr09xcTEmTJiAJ0+ewMbG5pXH08s7xUIIbNq0CcHBwTUWxABgZGSEHj16IC0trdo+4eHhCAsLU2zn5+ejefPm8Pf3h4ODg9bibujkcjni4+MREBAAU1NTXYejF5gzzTBv6mPONMO8qY850wzzpr68vDytjqeXRXFSUhKuX7+OkJCQl/YVQiAlJQWdO3euto9UKoVUKlVpNzU15YWpAeZNfcyZZpg39TFnmmHe1MecaYZ5qz1t50mnRXFhYSGuX7+u2E5PT0dKSgrs7e3h7u6O8PBwZGZmYsuWLUrHRUdHo1evXujUqZPKmBEREejduze8vLyQn5+P1atXIyUlBWvXrq3z8yEiIiIi/aTTovjMmTPw9/dXbFdOYZg8eTJiYmKQlZWFjIwMpWOePHmCuLg4rFq1qsoxHz9+jA8++ADZ2dmwtbWFt7c3kpOT0bNnz7o7ESIiIiLSazotiv38/FDTc34xMTEqbba2tiguLq72mJUrV2LlypXaCI+IiIiIDIRer1NMRERERKQNLIqJiIiIyOCxKCYiIiIig8eimIiIiIgMHotiIiIiIjJ4LIqJiIiIyOCxKCYiIiIig8eimIiIiIgMHotiIiIiIjJ4LIqJiIiIyOCxKCYiIiIig8eimIiIiIgMHotiIiIiIjJ4LIqJiIiIyOCxKCYiIiIig8eimIiIiIgMHotiIiIiIjJ4LIqJiIiIyODptChOTk7GiBEj4ObmBolEgt27d9fYPzExERKJROV19epVpX5xcXHo0KEDpFIpOnTogF27dtXhWRARERGRvtNpUVxUVIQuXbpgzZo1ah137do1ZGVlKV5eXl6KfSdPnkRQUBCCg4Nx4cIFBAcHY+zYsTh9+rS2wyciIiKiBsJEl28+dOhQDB06VO3jnJycYGdnV+W+qKgoBAQEIDw8HAAQHh6OpKQkREVFYfv27a8SLhERERE1UDotijXl7e2NkpISdOjQAQsWLIC/v79i38mTJzF79myl/kOGDEFUVFS148lkMshkMsV2fn4+AEAul0Mul2s3+AasMlfMWe0xZ5ph3tTHnGmGeVMfc6YZ5k192s6VXhXFrq6u2LhxI3x8fCCTybB161YMGjQIiYmJGDhwIAAgOzsbzs7OSsc5OzsjOzu72nEjIyMRERGh0p6QkABLS0vtnoQBiI+P13UIeoc50wzzpj7mTDPMm/qYM80wb7VXXFys1fH0qihu27Yt2rZtq9ju06cP7ty5g2XLlimKYgCQSCRKxwkhVNqeFx4ejrCwMMV2fn4+mjdvDn9/fzg4OGjxDBo2uVyO+Ph4BAQEwNTUVNfh6AXmTDPMm/qYM80wb+pjzjTDvKkvLy9Pq+PpVVFcld69e+OHH35QbLu4uKjcFc7NzVW5e/w8qVQKqVSq0m5qasoLUwPMm/qYM80wb+pjzjTDvKmPOdMM81Z72s6T3q9TfP78ebi6uiq2+/Tpo/LRw+HDh9G3b9/XHRoRERER6Qmd3ikuLCzE9evXFdvp6elISUmBvb093N3dER4ejszMTGzZsgXAs5UlWrRogY4dO6K0tBQ//PAD4uLiEBcXpxhj5syZGDhwIJYuXYpRo0Zhz549OHLkCI4dO/baz4+IiIiI9INOi+IzZ84orRxROa938uTJiImJQVZWFjIyMhT7S0tL8emnnyIzMxMWFhbo2LEj9u3bh2HDhin69O3bFzt27MCCBQuwcOFCtGrVCrGxsejVq9frOzEiIiIi0is6LYr9/PwghKh2f0xMjNL23LlzMXfu3JeOO2bMGIwZM+ZVwyMiIiIiA6H3c4qJiIiIiF4Vi2IiIiIiMngsiomIiIjI4LEoJiIiIiKDx6KYiIiIiAwei2IiIiIiMngsiomIiIjI4LEoJiIiIiKDx6KYiIiIiAwei2IiIiIiMngsiomIiIjI4LEoJiIiIiKDx6KYiIiIiAwei2IiIiIiMngsiomIiIjI4LEoJiIiIiKDx6KYiIiIiAwei2IiIiIiMng6LYqTk5MxYsQIuLm5QSKRYPfu3TX237lzJwICAtCkSRPY2NigT58+OHTokFKfmJgYSCQSlVdJSUkdngkRERER6TOdFsVFRUXo0qUL1qxZU6v+ycnJCAgIwP79+3H27Fn4+/tjxIgROH/+vFI/GxsbZGVlKb3Mzc3r4hSIiIiIqAEw0eWbDx06FEOHDq11/6ioKKXtr776Cnv27MGPP/4Ib29vRbtEIoGLi4u2wiQiIiKiBk6nRfGrqqioQEFBAezt7ZXaCwsL4eHhgfLycnTt2hV//etflYrmF8lkMshkMsV2fn4+AEAul0Mul9dN8A1QZa6Ys9pjzjTDvKmPOdMM86Y+5kwzzJv6tJ0riRBCaHVEDUkkEuzatQujR4+u9THffPMNlixZgitXrsDJyQkAcOrUKVy/fh2dO3dGfn4+Vq1ahf379+PChQvw8vKqcpzFixcjIiJCpX3btm2wtLTU6HyIiIiIqO4UFxdjwoQJePLkCWxsbF55PL0tirdv345p06Zhz549GDx4cLX9Kioq0K1bNwwcOBCrV6+usk9Vd4qbN2+OrKwsODg4qHUehkwulyM+Ph4BAQEwNTXVdTh6gTnTDPOmPuZMM8yb+pgzzTBv6svLy4Orq6vWimK9nD4RGxuLkJAQ/Pvf/66xIAYAIyMj9OjRA2lpadX2kUqlkEqlKu2mpqa8MDXAvKmPOdMM86Y+5kwzzJv6mDPNMG+1p+08qV0UFxYW4uzZs8jOzoZEIoGzszN8fHxgZWWl1cCqs337dkydOhXbt2/H8OHDX9pfCIGUlBR07tz5NURHRERERPqo1kVxWVkZ/vKXv+Dvf/87SkpKYGZmBiEE5HI5zM3N8cEHH+Cbb75Rq2ovLCzE9evXFdvp6elISUmBvb093N3dER4ejszMTGzZsgXAs4J40qRJWLVqFXr37o3s7GwAgIWFBWxtbQEAERER6N27N7y8vJCfn4/Vq1cjJSUFa9eurXVcRERERGRYar1O8V/+8hfExcVh8+bNePjwIUpKSiCTyfDw4UNs3rwZO3fuxJw5c9R68zNnzsDb21uxMkRYWBi8vb3xf//3fwCArKwsZGRkKPp/9913KCsrw4wZM+Dq6qp4zZw5U9Hn8ePH+OCDD9C+fXsEBgYiMzMTycnJ6Nmzp1qxEREREZHhqPWd4m3btiE2NhZvvvmmUrudnR2CgoLg6OiIcePGqawlXBM/Pz/U9JxfTEyM0nZiYuJLx1y5ciVWrlxZ6xiIiIiIiGp9p/jp06dwdHSsdr+DgwOePn2qlaCIiIiIiF6nWhfF/v7+CAsLQ05Ojsq+nJwczJ07V+UuMhERERGRPqj19Il169Zh2LBhaNasGTp16gRnZ2dIJBJkZ2fj8uXL6NChA/bt21eXsRIRERER1YlaF8XNmzfHhQsXcOjQIZw6dUqx8kPPnj0RGRmJwMBAGBnV+sYzEREREVG9odY6xUZGRhg6dCiGDh1aV/EQEREREb12vLVLRERERAaPRTERERERGTwWxURERERk8NQqioUQuH37NtcjJiIiIqIGRe2i2MvLC3fv3q2reIiIiIiIXju1imIjIyN4eXkhLy+vruIhIiIiInrt1J5T/PXXX2POnDm4fPlyXcRDRERERPTaqbVOMQBMnDgRxcXF6NKlC8zMzGBhYaG0/+HDh1oLjoiIiIjodVC7KI6KiqqDMIiIiIiIdEftonjy5Ml1EQcRERERkc5otE7xjRs3sGDBAowfPx65ubkAgIMHD+LXX3/VanBERERERK+D2kVxUlISOnfujNOnT2Pnzp0oLCwEAFy8eBGLFi3SeoBERERERHVN7aJ4/vz5+PLLLxEfHw8zMzNFu7+/P06ePKnV4IiIiIiIXge1i+JLly7hnXfeUWlv0qSJ2usXJycnY8SIEXBzc4NEIsHu3btfekxSUhJ8fHxgbm6Oli1bYsOGDSp94uLi0KFDB0ilUnTo0AG7du1SKy4iIiIiMixqF8V2dnbIyspSaT9//jyaNm2q1lhFRUXo0qUL1qxZU6v+6enpGDZsGAYMGIDz58/js88+wyeffIK4uDhFn5MnTyIoKAjBwcG4cOECgoODMXbsWJw+fVqt2IiIiIjIcKi9+sSECRMwb948/Pvf/4ZEIkFFRQWOHz+OTz/9FJMmTVJrrKFDh2Lo0KG17r9hwwa4u7srloVr3749zpw5g2XLluEPf/gDgGdLxgUEBCA8PBwAEB4ejqSkJERFRWH79u1qxUdEREREhkHtovhvf/sbpkyZgqZNm0IIgQ4dOqC8vBwTJkzAggUL6iJGhZMnTyIwMFCpbciQIYiOjoZcLoepqSlOnjyJ2bNnq/SpaX1lmUwGmUym2M7PzwcAyOVyyOVy7Z1AA1eZK+as9pgzzTBv6mPONMO8qY850wzzpj5t50rtotjU1BT//Oc/8cUXX+D8+fOoqKiAt7c3vLy8tBpYVbKzs+Hs7KzU5uzsjLKyMjx48ACurq7V9snOzq523MjISERERKi0JyQkwNLSUjvBG5D4+Hhdh6B3mDPNMG+1VygHErKMAOZMI7zW1MecaYZ5q73i4mKtjqd2UZyWlgYvLy+0atUKrVq10mowtSGRSJS2hRAq7VX1ebHteeHh4QgLC1Ns5+fno3nz5vD394eDg4M2wjYIcrkc8fHxCAgIgKmpqa7D0QvMmWaYN/UlX8vBld9SsDqEOVMHrzX1MWeaYd7Up+4CDy+jdlHctm1buLq6wtfXF76+vvDz80Pbtm21GlR1XFxcVO745ubmwsTERFG8VtfnxbvHz5NKpZBKpSrtpqamvDA1wLypjznTDPNWe+kPS/BIBhgZmzBnGuC1pj7mTDPMW+1pO09qrz6RlZWFZcuWwcbGBitXrkT79u3h6uqKcePGVbk8mjb16dNH5WOFw4cPo3v37orEVNenb9++dRobEVF9lpZbBC9bgYyH2v24kYiooVC7KHZ2dsb48eOxYcMGXL16FampqRgyZAji4uIwY8YMtcYqLCxESkoKUlJSADxbci0lJQUZGRkAnk1reH5Fi9DQUNy+fRthYWG4cuUKNm3ahOjoaHz66aeKPjNnzsThw4exdOlSXL16FUuXLsWRI0cwa9YsdU+ViKjByM4vQTs7gbTcQl2HQkRUL6k9faKwsBDHjh1DYmIikpKSkJKSgvbt2+Pjjz+Gr6+vWmOdOXMG/v7+iu3Keb2TJ09GTEwMsrKyFAUyAHh6emL//v2YPXs21q5dCzc3N6xevVqxHBsA9O3bFzt27MCCBQuwcOFCtGrVCrGxsejVq5e6p0pE1CBUPnvhaimQlluk42iIiOontYvixo0bw97eHsHBwViwYAH69+8PW1tbjd7cz89P8cO6KjExMSptvr6+OHfuXI3jjhkzBmPGjNEoJiKihia3QAYnaymcjYDjvFNMRFQltadPDB8+HOXl5di6dSu2bNmCbdu24cqVK3URGxERaUFqTgG8nKxgaQIUyMp0HQ4RUb2kdlG8e/duPHjwAPHx8ejfvz/++9//ws/PDy4uLhg3blxdxEhERK8gNacQrZ0aAQCMJRKUlVfoOCIiovpH7ekTld544w2Ul5dDLpdDJpPh4MGD2LlzpzZjIyIiLUjLKUBge0ecSwU8HCxxK68YrZ2sdB0WEVG9ovad4pUrV2LUqFGwt7dHz549sX37drRt2xa7du3CgwcP6iJGIiJ6BTn5JXC2frYWu5dTI6TlFOg4IiKi+kftO8X//Oc/4efnh/fffx8DBw6EjY1NXcRFRERa8OK3frZ2ssLJm48xtLMuoyIiqn/ULorPnDlTF3EQEVEdyM4vgYutuWK7dRMrbDl1R4cRERHVTxrNKX78+DGio6Nx5coVSCQStG/fHiEhIRovzUZERHUjNacQXk7Wim1rcxMUcQUKIiIVas8pPnPmDFq1aoWVK1fi4cOHePDgAVauXIlWrVq9dP1gIiJ6vdJyCtDG2VqpzdjICHKuQEFEpETtonj27NkYOXIkbt26hZ07d2LXrl1IT0/H22+/za9SJiKqZ1JzCtDGWXmlCU9HS9x6wG+2IyJ6nkZ3iufNmwcTk99nXpiYmGDu3Lmcb0xEVM/cL5Chyf9feaKSl7M1UnP4zXZERM9Tuyi2sbFBRkaGSvudO3dgbW1dxRFERKQLL648UamNszVSuSwbEZEStYvioKAghISEIDY2Fnfu3MHdu3exY8cOTJs2DePHj6+LGImISAP3npTA1c5Cpd3LyQrXc3mnmIjoeWqvPrFs2TJIJBJMmjQJZWXPnmA2NTXFhx9+iCVLlmg9QCIi0kxqTgHaVPHNdY2kJigu5QoURETPU7soNjMzw6pVqxAZGYkbN25ACIHWrVvD0tKyLuIjIiINpeUUoJNb1UtlmhobobSsAmYman9gSETUINX6p2FxcTFmzJiBpk2bwsnJCdOmTYOrqyveeOMNFsRERPVQak4h2rhU/ayHZ5NGSOcKFERECrUuihctWoSYmBgMHz4c48aNQ3x8PD788MO6jI2IiF7Bw6JSOFpJq9zXxokP2xERPa/W0yd27tyJ6OhojBs3DgAwceJE9OvXD+Xl5TA2Nq6zAImISH0VFQKSGva3cbZG/G/Zry0eIqL6rtZ3iu/cuYMBAwYotnv27AkTExPcu3evTgIjIiLNZT5+CrcqVp6o1NrJCtfvcwUKIqJKtS6Ky8vLYWZmptRmYmKiWIFCU+vWrYOnpyfMzc3h4+ODo0ePVtt3ypQpkEgkKq+OHTsq+sTExFTZp6Sk5JXiJCLSJ2m5qt9k9zwLM2OUyPlVz0RElWo9fUIIgSlTpkAq/X1+WklJCUJDQ9GoUSNF286dO2v95rGxsZg1axbWrVuHfv364bvvvsPQoUPx22+/wd3dXaX/qlWrlJZ9KysrQ5cuXfDee+8p9bOxscG1a9eU2szNzWsdFxGRvkvNKUTX5nY19jE1lkBWVg6pCafAERHVuiiePHmyStvEiRNf6c1XrFiBkJAQTJs2DQAQFRWFQ4cOYf369YiMjFTpb2trC1vb35cX2r17Nx49eoQ//elPSv0kEglcXFxeKTYiIn2WmlOAsd2b19inZRMr3LxfhPauNq8pKiKi+qvWRfHmzZu1+salpaU4e/Ys5s+fr9QeGBiIEydO1GqM6OhoDB48GB4eHkrthYWF8PDwQHl5Obp27Yq//vWv8Pb2rnYcmUwGmUym2M7PzwcAyOVyyOXy2p6SwavMFXNWe8yZZpi3l3tYKIO1mUQlV8/nrJWDBa7ce4zWjtXPPTZ0vNbUx5xphnlTn7ZzpfaXd2jLgwcPUF5eDmdnZ6V2Z2dnZGe//InorKwsHDhwANu2bVNqb9euHWJiYtC5c2fk5+dj1apV6NevHy5cuAAvL68qx4qMjERERIRKe0JCAtdg1kB8fLyuQ9A7zJlmmLeqVQjg/n0j7N+/X2Xf8znLKQIu5BnB+O751xmeXuK1pj7mTDPMW+0VFxdrdTydFcWVJBLlRYOEECptVYmJiYGdnR1Gjx6t1N67d2/07t1bsd2vXz9069YN3377LVavXl3lWOHh4QgLC1Ns5+fno3nz5vD394eDg4MaZ2PY5HI54uPjERAQAFNTU12HoxeYM80wbzXLeFiMbuI2hg1rr2irKmcl8nJ8+p9LGDasq44irf94ramPOdMM86a+vLw8rY6ns6LY0dERxsbGKneFc3NzVe4ev0gIgU2bNiE4OFhlRYwXGRkZoUePHkhLS6u2j1QqVXqAsJKpqSkvTA0wb+pjzjTDvFUtPa8EbV1tq8zN8zkzNTWFvALMYS3wWlMfc6YZ5q32tJ0nnX3pvZmZGXx8fFQ+JoiPj0ffvn1rPDYpKQnXr19HSEjIS99HCIGUlBS4urq+UrxERPoiNbcAbZyr/nrnF5kZG6FEXl7HERER1X86K4oBICwsDP/4xz+wadMmXLlyBbNnz0ZGRgZCQ0MBPJvWMGnSJJXjoqOj0atXL3Tq1EllX0REBA4dOoSbN28iJSUFISEhSElJUYxJRNTQpeUU1rhG8fNaOTXCDX6JBxGRbucUBwUFIS8vD1988QWysrLQqVMn7N+/X7GaRFZWFjIyMpSOefLkCeLi4rBq1aoqx3z8+DE++OADZGdnw9bWFt7e3khOTkbPnj3r/HyIiOqDJ0/lsLOseWpZpTbO1kjLKURHN9uXdyYiasB0/qDd9OnTMX369Cr3xcTEqLTZ2trW+LThypUrsXLlSm2FR0SkV8orBIxe/qyygpeTNX66eK/uAiIi0hM6nT5BRETadedhMZo1rv1Ski2bcPoEERHAopiIqEG5llP7h+wAwNzUGKVlFXUYERGRfmBRTETUgKTlFNT6IbtK5qbGeFrKFSiIyLCxKCYiakBScwrhpcadYgBo7WSF67mcQkFEho1FMRFRA1JQIoethXoL2ns5WyM1p6COIiIi0g8siomIGoiy8goYq7P0xP/XxtkKqbksionIsLEoJiJqIG4/LIa7fSO1j/N0bIT0+0V1EBERkf5gUUxE1EBo8pAdAEhNjCEv5woURGTYWBQTETUQmjxkV8nSzARFsjItR0REpD9YFBMRNRBpuYXw0uBOMQC04goURGTgWBQTETUQhSVy2Jirt/JEpTbOVlyBgogMGotiIqIGQF5eAWMjzX+kt3G2RhrvFBORAWNRTETUANzOK0ILB0uNj2/h0AjpD7gCBREZLhbFREQNQGpOIdpo+JAdAJiZGKGMK1AQkQFjUUxE1ACk5hRo/JBdJUupCQq5AgURGSgWxUREDcCzlSc0v1MMAF5OVkjjw3ZEZKBYFBMRNQDFsjJYSU1eaYw2ztZIy+HDdkRkmFgUExHpudKyCpgYv/qPcy7LRkSGTOdF8bp16+Dp6Qlzc3P4+Pjg6NGj1fZNTEyERCJReV29elWpX1xcHDp06ACpVIoOHTpg165ddX0aREQ6cyuvCJ6OjV55HA+HRriVV6yFiIiI9I9Oi+LY2FjMmjULn3/+Oc6fP48BAwZg6NChyMjIqPG4a9euISsrS/Hy8vJS7Dt58iSCgoIQHByMCxcuIDg4GGPHjsXp06fr+nSIiHQiNacAXk6v9pAdAJgaG6FCCC1ERESkf3RaFK9YsQIhISGYNm0a2rdvj6ioKDRv3hzr16+v8TgnJye4uLgoXsbGxop9UVFRCAgIQHh4ONq1a4fw8HAMGjQIUVFRdXw2RES68arLsT3PSmqC/BK5VsYiItInr/ZUxisoLS3F2bNnMX/+fKX2wMBAnDhxosZjvb29UVJSgg4dOmDBggXw9/dX7Dt58iRmz56t1H/IkCE1FsUymQwymUyxnZ+fDwCQy+WQy/nLobYqc8Wc1R5zphnmTVladj5C+javMR+1zVlLR0tczXwMb3c7bYaot3itqY850wzzpj5t50pnRfGDBw9QXl4OZ2dnpXZnZ2dkZ2dXeYyrqys2btwIHx8fyGQybN26FYMGDUJiYiIGDhwIAMjOzlZrTACIjIxERESESntCQgIsLTX/hihDFR8fr+sQ9A5zphnm7ZnbmUZIPJJZq74vy1l+ngQ704EsZ06jeB6vNfUxZ5ph3mqvuFi7z0DorCiuJJFIlLaFECptldq2bYu2bdsqtvv06YM7d+5g2bJliqJY3TEBIDw8HGFhYYrt/Px8NG/eHP7+/nBwcFDrfAyZXC5HfHw8AgICYGpqqutw9AJzphnm7Xeysgr89Pgihg3rWmO/2uas/YMibPvlDoYNa6flSPUTrzX1MWeaYd7Ul5eXp9XxdFYUOzo6wtjYWOUObm5ursqd3pr07t0bP/zwg2LbxcVF7TGlUimkUqlKu6mpKS9MDTBv6mPONMO8ATfy8tHKybrWeXhZzlo52+Lu4zSDz+uLeK2pjznTDPNWe9rOk84etDMzM4OPj4/KxwTx8fHo27dvrcc5f/48XF1dFdt9+vRRGfPw4cNqjUlEpC+ePWT36itPVDI2kqCCMyeIyADpdPpEWFgYgoOD0b17d/Tp0wcbN25ERkYGQkNDATyb1pCZmYktW7YAeLayRIsWLdCxY0eUlpbihx9+QFxcHOLi4hRjzpw5EwMHDsTSpUsxatQo7NmzB0eOHMGxY8d0co5ERHUpLacAQzq6aHVMa3MTPHkqh60F71YRkeHQaVEcFBSEvLw8fPHFF8jKykKnTp2wf/9+eHh4AACysrKU1iwuLS3Fp59+iszMTFhYWKBjx47Yt28fhg0bpujTt29f7NixAwsWLMDChQvRqlUrxMbGolevXq/9/IiI6tqN+4Vo1UR7d4qByq97LkD3FvZaHZeIqD7T+YN206dPx/Tp06vcFxMTo7Q9d+5czJ0796VjjhkzBmPGjNFGeERE9VqJvAIWZsYv76gGLycrpOYUsigmIoOi8695JiIizZTIy2FmrP0f422crZGaU6D1cYmI6jMWxUREeurm/SK0bNJI6+M2t7fE3UfaXf+TiKi+Y1FMRKSn0nILtPb1zs/jChREZIhYFBMR6anUnAJ4aXE5tufZWpjicXFpnYxNRFQfsSgmItJTN3KLtL7yRCUv52cP2xERGQoWxUREeqq0vALmptpdeaJSGyc+bEdEhoVFMRGRHiqRl0NqUnc/wivXKiYiMhQsiomI9ND1XO1/acfzmjW2wJ1HT+tsfCKi+oZFMRGRHkrLrbuH7ADAyEgCIbgEBREZDhbFRER6KDWnsE6WY3te40ZmyCuU1el7EBHVFyyKiYj00M37hXXyxR3Pe/bNdlyBgogMA4tiIiI9VFpWAalJ3aw8UamNsxXScvmwHREZBhbFRER6pri0DBZmdVsQA4AXl2UjIgPCopiISM9czy1E6zpceaJSUzsL3HtcUufvQ0RUH7AoJiLSM6k5hfCq44fsgN9XoOAqFERkCFgUExHpmbScgjpfeaKSg5UUDwpLX8t7ERHpEotiIiI9c/NBETwd63bliUptnK34zXZEZBBYFBMR6Zmy8gqY1eFXPD/Py5kP2xGRYdB5Ubxu3Tp4enrC3NwcPj4+OHr0aLV9d+7ciYCAADRp0gQ2Njbo06cPDh06pNQnJiYGEolE5VVSwodFiEj/FcnKYGlm8trer42zNVJzuVYxETV8Oi2KY2NjMWvWLHz++ec4f/48BgwYgKFDhyIjI6PK/snJyQgICMD+/ftx9uxZ+Pv7Y8SIETh//rxSPxsbG2RlZSm9zM3NX8cpERHVqbTcQrR2qvuVJyq52Zoj6/HT1/Z+RES68vpuN1RhxYoVCAkJwbRp0wAAUVFROHToENavX4/IyEiV/lFRUUrbX331Ffbs2YMff/wR3t7einaJRAIXF5c6jZ2ISBdSX+NDdsCzn6cAIIRQ/JmIqCHSWVFcWlqKs2fPYv78+UrtgYGBOHHiRK3GqKioQEFBAezt7ZXaCwsL4eHhgfLycnTt2hV//etflYrmF8lkMshkMsV2fn4+AEAul0Mul9f2lAxeZa6Ys9pjzjRjyHm7lvUEf+jWVO1zf5WcOTQyw71HRXCylqp9rL4z5GtNU8yZZpg39Wk7Vzorih88eIDy8nI4OzsrtTs7OyM7O7tWYyxfvhxFRUUYO3asoq1du3aIiYlB586dkZ+fj1WrVqFfv364cOECvLy8qhwnMjISERERKu0JCQmwtLRU46wIAOLj43Udgt5hzjRjiHk7fdUIHctuIE3DyW+a5KwsT4J//piBtnaGu16xIV5rr4o50wzzVnvFxcVaHU+n0ycAqHwcV9uP6LZv347Fixdjz549cHJyUrT37t0bvXv3Vmz369cP3bp1w7fffovVq1dXOVZ4eDjCwsIU2/n5+WjevDn8/f3h4OCg7ikZLLlcjvj4eAQEBMDU1FTX4egF5kwzhpy3nXnnMOLtbmof9yo5s057gBsPijCsj4fa76vvDPla0xRzphnmTX15eXlaHU9nRbGjoyOMjY1V7grn5uaq3D1+UWxsLEJCQvDvf/8bgwcPrrGvkZERevTogbS0tGr7SKVSSKWqHwuamprywtQA86Y+5kwzhpa3ghI5rM1f7Zw1yVmHpo0Rf/W+QeX6RYZ2rWkDc6YZ5q32tJ0nna0+YWZmBh8fH5WPCeLj49G3b99qj9u+fTumTJmCbdu2Yfjw4S99HyEEUlJS4Orq+soxExHpUlpuIbycXt9DdpWcbaTIyZe9vCMRkR7T6fSJsLAwBAcHo3v37ujTpw82btyIjIwMhIaGAng2rSEzMxNbtmwB8KwgnjRpElatWoXevXsr7jJbWFjA1tYWABAREYHevXvDy8sL+fn5WL16NVJSUrB27VrdnCQRkZY8+3rn17ccWyWuQEFEhkCnRXFQUBDy8vLwxRdfICsrC506dcL+/fvh4fFs3lpWVpbSmsXfffcdysrKMGPGDMyYMUPRPnnyZMTExAAAHj9+jA8++ADZ2dmwtbWFt7c3kpOT0bNnz9d6bkRE2paaU4jxPd118t6Vd4tdbLnmOxE1TDp/0G769OmYPn16lfsqC91KiYmJLx1v5cqVWLlypRYiIyKqX27nFaGFg25WxPFyevZ1zyyKiaih0vnXPBMRUe2UVwiYGOvmx3Yb52dFMRFRQ8WimIhIDzx5KoeNhe6eSG/jbIW0nEKdvT8RUV1jUUxEpAeu5xbAy+n1P2RXqYm1FPcLuQIFETVcLIqJiPRAak4hvJxf/3JslZ5fgYKIqCFiUUxEpAdScwrQRodFMQC42Joj60mJTmMgIqorLIqJiPTAnYfFcLfXzcoTldo4WfFhOyJqsFgUExHpgQoBGBvp9osz2jhb82E7ImqwWBQTEdVzT4rlsDHX+bLy8OKybETUgLEoJiKq51JzC3T6kF0lRysz5BWV6joMIqI6waKYiKieqw8P2QFcgYKIGjYWxURE9VxaTiHaOOtujeLnudmZI/PxU12HQUSkdSyKiYjquTsPi9G8sW5XnqjEh+2IqKFiUUxEVM8JAEY6XnmikpcTH7YjooaJRTERUT32qKgUdhamug5DoY2zFVJ5p5iIGiAWxURE9VhqTv1YeaKSg5UUD4tkug6DiEjrWBQTEdVjqbn15yG7ShKJBBUVXIGCiBoWFsVERPVYWj1Zju15zRpb4O4jrkBBRA2LzovidevWwdPTE+bm5vDx8cHRo0dr7J+UlAQfHx+Ym5ujZcuW2LBhg0qfuLg4dOjQAVKpFB06dMCuXbvqKnwiojqV+egpmtpZ6DoMJfxmOyJqiHRaFMfGxmLWrFn4/PPPcf78eQwYMABDhw5FRkZGlf3T09MxbNgwDBgwAOfPn8dnn32GTz75BHFxcYo+J0+eRFBQEIKDg3HhwgUEBwdj7NixOH369Os6LSIiralPK09UauNkhdRcFsVE1LDotChesWIFQkJCMG3aNLRv3x5RUVFo3rw51q9fX2X/DRs2wN3dHVFRUWjfvj2mTZuGqVOnYtmyZYo+UVFRCAgIQHh4ONq1a4fw8HAMGjQIUVFRr+msiIi040GhDI0tzXQdhgquVUxEDZHOiuLS0lKcPXsWgYGBSu2BgYE4ceJElcecPHlSpf+QIUNw5swZyOXyGvtUNyYRUX317Oud69dDdgDQuJEZHheX6joMIiKtMtHVGz948ADl5eVwdnZWand2dkZ2dnaVx2RnZ1fZv6ysDA8ePICrq2u1faobEwBkMhlkst+XGHry5AkAYM620zBvVP9+IVUS9ezhbyEqkJ1dggP3j0Mi+f3/W/UszKrpKMgKUYHsnBLsyz0OI8nL/48q9CCbr+O6FHh2rf2UewwSDf9vX/8zCWQ+LsHHb7ZEXl7eK48ll8tRXFyMvLw8mJq++rrHorQI7/896ZXHUderTCSRaHBwhRDIUePfqOqbqn/IKxz27FhND9b4QGWi4tm/z4MPTkBipPNHl/QG86Y+WdGzaVxCS794dFYUV5K88I9QCKHS9rL+L7arO2ZkZCQiIiJU2jd/Mrz6wImIXoMDug6AiKiey8vLg62t7SuPo7Oi2NHREcbGxip3cHNzc1Xu9FZycXGpsr+JiQkcHBxq7FPdmAAQHh6OsLAwxfbjx4/h4eGBjIwMrSTZUOTn56N58+a4c+cObGxsdB2OXmDONMO8qY850wzzpj7mTDPMm/qePHkCd3d32Nvba2U8nRXFZmZm8PHxQXx8PN555x1Fe3x8PEaNGlXlMX369MGPP/6o1Hb48GF0795d8XFgnz59EB8fj9mzZyv16du3b7WxSKVSSKVSlXZbW1temBqwsbFh3tTEnGmGeVMfc6YZ5k19zJlmmDf1GWlpuolOp0+EhYUhODgY3bt3R58+fbBx40ZkZGQgNDQUwLM7uJmZmdiyZQsAIDQ0FGvWrEFYWBjef/99nDx5EtHR0di+fbtizJkzZ2LgwIFYunQpRo0ahT179uDIkSM4duyYTs6RiIiIiOo/nRbFQUFByMvLwxdffIGsrCx06tQJ+/fvh4eHBwAgKytLac1iT09P7N+/H7Nnz8batWvh5uaG1atX4w9/+IOiT9++fbFjxw4sWLAACxcuRKtWrRAbG4tevXq99vMjIiIiIv2g8wftpk+fjunTp1e5LyYmRqXN19cX586dq3HMMWPGYMyYMRrHJJVKsWjRoiqnVFD1mDf1MWeaYd7Ux5xphnlTH3OmGeZNfdrOmURoax0LIiIiIiI9xYXwiIiIiMjgsSgmIiIiIoPHopiIiIiIDB6LYiIiIiIyeCyKq7Bu3Tp4enrC3NwcPj4+OHr0qK5DqrciIyPRo0cPWFtbw8nJCaNHj8a1a9d0HZbeiYyMhEQiwaxZs3QdSr2WmZmJiRMnwsHBAZaWlujatSvOnj2r67DqtbKyMixYsACenp6wsLBAy5Yt8cUXX6CiokLXodUbycnJGDFiBNzc3CCRSLB7926l/UIILF68GG5ubrCwsICfnx9+/fVX3QRbj9SUN7lcjnnz5qFz585o1KgR3NzcMGnSJNy7d093AdcDL7vWnvfnP/8ZEokEUVFRry2++qo2ebty5QpGjhwJW1tbWFtbo3fv3krL+tYGi+IXxMbGYtasWfj8889x/vx5DBgwAEOHDlU7sYYiKSkJM2bMwKlTpxAfH4+ysjIEBgaiqKhI16Hpjf/973/YuHEj3njjDV2HUq89evQI/fr1g6mpKQ4cOIDffvsNy5cvh52dna5Dq9eWLl2KDRs2YM2aNbhy5Qq+/vprfPPNN/j22291HVq9UVRUhC5dumDNmjVV7v/666+xYsUKrFmzBv/73//g4uKCgIAAFBQUvOZI65ea8lZcXIxz585h4cKFOHfuHHbu3InU1FSMHDlSB5HWHy+71irt3r0bp0+fhpub22uKrH57Wd5u3LiB/v37o127dkhMTMSFCxewcOFCmJubq/dGgpT07NlThIaGKrW1a9dOzJ8/X0cR6Zfc3FwBQCQlJek6FL1QUFAgvLy8RHx8vPD19RUzZ87UdUj11rx580T//v11HYbeGT58uJg6dapS27vvvismTpyoo4jqNwBi165diu2Kigrh4uIilixZomgrKSkRtra2YsOGDTqIsH56MW9V+eWXXwQAcfv27dcTVD1XXc7u3r0rmjZtKi5fviw8PDzEypUrX3ts9VlVeQsKCtLKzzTeKX5OaWkpzp49i8DAQKX2wMBAnDhxQkdR6ZcnT54AAOzt7XUciX6YMWMGhg8fjsGDB+s6lHpv79696N69O9577z04OTnB29sbf//733UdVr3Xv39//Pe//0VqaioA4MKFCzh27BiGDRum48j0Q3p6OrKzs5V+L0ilUvj6+vL3gpqePHkCiUTCT3dqUFFRgeDgYMyZMwcdO3bUdTh6oaKiAvv27UObNm0wZMgQODk5oVevXjVOTakOi+LnPHjwAOXl5XB2dlZqd3Z2RnZ2to6i0h9CCISFhaF///7o1KmTrsOp93bs2IFz584hMjJS16HohZs3b2L9+vXw8vLCoUOHEBoaik8++QRbtmzRdWj12rx58zB+/Hi0a9cOpqam8Pb2xqxZszB+/Hhdh6YXKn/28/fCqykpKcH8+fMxYcIE2NjY6Dqcemvp0qUwMTHBJ598outQ9EZubi4KCwuxZMkSvPXWWzh8+DDeeecdvPvuu0hKSlJrLJ1/zXN9JJFIlLaFECptpOqjjz7CxYsXcezYMV2HUu/duXMHM2fOxOHDh9Wf82SgKioq0L17d3z11VcAAG9vb/z6669Yv349Jk2apOPo6q/Y2Fj88MMP2LZtGzp27IiUlBTMmjULbm5umDx5sq7D0xv8vaA5uVyOcePGoaKiAuvWrdN1OPXW2bNnsWrVKpw7d47XlhoqHxoeNWoUZs+eDQDo2rUrTpw4gQ0bNsDX17fWY/FO8XMcHR1hbGys8r//3NxclbsEpOzjjz/G3r17kZCQgGbNmuk6nHrv7NmzyM3NhY+PD0xMTGBiYoKkpCSsXr0aJiYmKC8v13WI9Y6rqys6dOig1Na+fXs+BPsSc+bMwfz58zFu3Dh07twZwcHBmD17Nj+hqCUXFxcA4O8FDcnlcowdOxbp6emIj4/nXeIaHD16FLm5uXB3d1f8Xrh9+zb+8pe/oEWLFroOr95ydHSEiYmJVn4/sCh+jpmZGXx8fBAfH6/UHh8fj759++ooqvpNCIGPPvoIO3fuxM8//wxPT09dh6QXBg0ahEuXLiElJUXx6t69O/74xz8iJSUFxsbGug6x3unXr5/Kcn+pqanw8PDQUUT6obi4GEZGyj/qjY2NuSRbLXl6esLFxUXp90JpaSmSkpL4e+ElKgvitLQ0HDlyBA4ODroOqV4LDg7GxYsXlX4vuLm5Yc6cOTh06JCuw6u3zMzM0KNHD638fuD0iReEhYUhODgY3bt3R58+fbBx40ZkZGQgNDRU16HVSzNmzMC2bduwZ88eWFtbK+6m2NrawsLCQsfR1V/W1tYq864bNWoEBwcHzseuxuzZs9G3b1989dVXGDt2LH755Rds3LgRGzdu1HVo9dqIESPwt7/9De7u7ujYsSPOnz+PFStWYOrUqboOrd4oLCzE9evXFdvp6elISUmBvb093N3dMWvWLHz11Vfw8vKCl5cXvvrqK1haWmLChAk6jFr3asqbm5sbxowZg3PnzuGnn35CeXm54veDvb09zMzMdBW2Tr3sWnvxPw6mpqZwcXFB27ZtX3eo9crL8jZnzhwEBQVh4MCB8Pf3x8GDB/Hjjz8iMTFRvTd65fUrGqC1a9cKDw8PYWZmJrp168blxWoAoMrX5s2bdR2a3uGSbC/3448/ik6dOgmpVCratWsnNm7cqOuQ6r38/Hwxc+ZM4e7uLszNzUXLli3F559/LmQyma5DqzcSEhKq/Dk2efJkIcSzZdkWLVokXFxchFQqFQMHDhSXLl3SbdD1QE15S09Pr/b3Q0JCgq5D15mXXWsv4pJsz9Qmb9HR0aJ169bC3NxcdOnSRezevVvt95EIIYR6ZTQRERERUcPCOcVEREREZPBYFBMRERGRwWNRTEREREQGj0UxERERERk8FsVEREREZPBYFBMRERGRwWNRTEREREQGj0UxERFpVWlpKVq3bo3jx49rddyffvoJ3t7e/IpqIqoTLIqJiGowZcoUSCQSldfzXzlKyjZu3AgPDw/069dP0SaRSLB7926VvlOmTMHo0aNrNe7bb78NiUSCbdu2aSlSIqLfsSgmInqJt956C1lZWUovT09PlX6lpaU6iK7++fbbbzFt2rQ6GftPf/oTvv322zoZm4gMG4tiIqKXkEqlcHFxUXoZGxvDz88PH330EcLCwuDo6IiAgAAAwG+//YZhw4bBysoKzs7OCA4OxoMHDxTjFRUVYdKkSbCysoKrqyuWL18OPz8/zJo1S9GnqjurdnZ2iImJUWxnZmYiKCgIjRs3hoODA0aNGoVbt24p9lfehV22bBlcXV3h4OCAGTNmQC6XK/rIZDLMnTsXzZs3h1QqhZeXF6KjoyGEQOvWrbFs2TKlGC5fvgwjIyPcuHGjylydO3cO169fx/Dhw9XMMnDr1q0q78r7+fkp+owcORK//PILbt68qfb4REQ1YVFMRPQKvv/+e5iYmOD48eP47rvvkJWVBV9fX3Tt2hVnzpzBwYMHkZOTg7FjxyqOmTNnDhISErBr1y4cPnwYiYmJOHv2rFrvW1xcDH9/f1hZWSE5ORnHjh2DlZUV3nrrLaU71gkJCbhx4wYSEhLw/fffIyYmRqmwnjRpEnbs2IHVq1fjypUr2LBhA6ysrCCRSDB16lRs3rxZ6X03bdqEAQMGoFWrVlXGlZycjDZt2sDGxkat8wGA5s2bK92NP3/+PBwcHDBw4EBFHw8PDzg5OeHo0aNqj09EVCNBRETVmjx5sjA2NhaNGjVSvMaMGSOEEMLX11d07dpVqf/ChQtFYGCgUtudO3cEAHHt2jVRUFAgzMzMxI4dOxT78/LyhIWFhZg5c6aiDYDYtWuX0ji2trZi8+bNQgghoqOjRdu2bUVFRYViv0wmExYWFuLQoUOK2D08PERZWZmiz3vvvSeCgoKEEEJcu3ZNABDx8fFVnvu9e/eEsbGxOH36tBBCiNLSUtGkSRMRExNTbb5mzpwp3nzzTZV2AMLc3Fwpj40aNRImJiZi1KhRKv2fPn0qevXqJd5++21RXl6utM/b21ssXry42hiIiDRhotuSnIio/vP398f69esV240aNVL8uXv37kp9z549i4SEBFhZWamMc+PGDTx9+hSlpaXo06ePot3e3h5t27ZVK6azZ8/i+vXrsLa2VmovKSlRmtrQsWNHGBsbK7ZdXV1x6dIlAEBKSgqMjY3h6+tb5Xu4urpi+PDh2LRpE3r27ImffvoJJSUleO+996qN6+nTpzA3N69y38qVKzF48GCltnnz5qG8vFylb0hICAoKChAfHw8jI+UPNS0sLFBcXFxtDEREmmBRTET0Eo0aNULr1q2r3fe8iooKjBgxAkuXLlXp6+rqirS0tFq9p0QigRBCqe35ucAVFRXw8fHBP//5T5VjmzRpovizqampyriVS5pZWFi8NI5p06YhODgYK1euxObNmxEUFARLS8tq+zs6OiqK7he5uLio5NHa2hqPHz9Wavvyyy9x8OBB/PLLLypFPwA8fPhQ6RyJiLSBRTERkRZ169YNcXFxaNGiBUxMVH/Etm7dGqampjh16hTc3d0BAI8ePUJqaqrSHdsmTZogKytLsZ2WlqZ0d7Rbt26IjY2Fk5OTRvN3AaBz586oqKhAUlKSyh3cSsOGDUOjRo2wfv16HDhwAMnJyTWO6e3tjfXr10MIAYlEonZMcXFx+OKLL3DgwIEq5y1X3gn39vZWe2wioprwQTsiIi2aMWMGHj58iPHjxytWSTh8+DCmTp2K8vJyWFlZISQkBHPmzMF///tfXL58GVOmTFGZIvDmm29izZo1OHfuHM6cOYPQ0FClu75//OMf4ejoiFGjRuHo0aNIT09HUlISZs6cibt379Yq1hYtWmDy5MmYOnUqdu/ejfT0dCQmJuJf//qXoo+xsTGmTJmC8PBwtG7dWmnaR1X8/f1RVFSEX3/9VY2sPXP58mVMmjQJ8+bNQ8eOHZGdnY3s7Gw8fPhQ0efUqVOQSqUvjYOISF0siomItMjNzQ3Hjx9HeXk5hgwZgk6dOmHmzJmwtbVVFL7ffPMNBg4ciJEjR2Lw4MHo378/fHx8lMZZvnw5mjdvjoEDB2LChAn49NNPlaYtWFpaIjk5Ge7u7nj33XfRvn17TJ06FU+fPlXrzvH69esxZswYTJ8+He3atcP777+PoqIipT4hISEoLS3F1KlTXzqeg4MD3n333SqndbzMmTNnUFxcjC+//BKurq6K17vvvqvos337dvzxj3+scQoHEZEmJOLFSWtERPTa+fn5oWvXroiKitJ1KCqOHz8OPz8/3L17F87Ozi/tf+nSJQwePLjKBwFfxf3799GuXTucOXOmyi9PISJ6FbxTTEREVZLJZLh+/ToWLlyIsWPH1qogBp7NVf7666+VvkhEG9LT07Fu3ToWxERUJ/igHRERVWn79u0ICQlB165dsXXrVrWOnTx5stbj6dmzJ3r27Kn1cYmIAE6fICIiIiLi9AkiIiIiIhbFRERERGTwWBQTERERkcFjUUxEREREBo9FMREREREZPBbFRERERGTwWBQTERERkcFjUUxEREREBo9FMREREREZvP8HqXYzWExki0MAAAAASUVORK5CYII=", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Sx, fs = X0.periodogram()\n", "X1 = MRPy.from_periodogram(Sx, fs)\n", "\n", "f00 = X1.plot_time(fig=0, figsize=(8,3), axis_t=[0, Td, -2.0, 2.0])\n", "f01 = X1.plot_freq(fig=1, figsize=(8,3), axis_f=[0, 16, 0.0, 2.0]) # periodogram\n", "f02 = X1.plot_corr(fig=2, figsize=(8,3), axis_T=[0, 1, -2.0, 2.0]) # autocovariance\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tau = X1.T_axis()\n", "kt = (tau <= 0.5) \n", "Cx = np.zeros(tau.shape)\n", "Cx[kt] = 1 - 2*tau[kt]\n", "\n", "X2 = MRPy.from_autocov(Cx, tau[-1])\n", "\n", "f00 = X2.plot_time(fig=0, figsize=(8,3), axis_t=[0, 8, -4.0, 4.0])\n", "f01 = X2.plot_freq(fig=1, figsize=(8,3), axis_f=[0, 8, 0.0, 2.0])\n", "f02 = X2.plot_corr(fig=2, figsize=(8,3), axis_T=[0, 4, -2.0, 2.0])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 8.4. White noise and pink noise \n", "\n", "A _Gaussian white noise_ is a signal with random amplitude with normal distribution and \n", "a constant power density all over the frequency domain:\n", "\n", "$$ S_X(\\omega) = S_0 $$\n", "\n", "The associated autocorrelation function is a Dirac's Delta at the origin, with an\n", "_infinite_ pulse integral.\n", "This signal in practice must have a limited band, otherwise the corresponding variance \n", "would be infinite. For practical purposes a signal is considered to be a white noise\n", "if the power is constant (within some statistical error) over some relevant\n", "frequency band $\\Delta\\omega = \\omega_2 - \\omega_1$:\n", "\n", "$$ S_X(\\omega) = S_0, \\hspace{5mm} {\\rm for} \n", " \\hspace{5mm} \\omega_1 \\leq \\omega \\leq \\omega_2 $$ \n", "\n", "and zero otherwise. The corresponding autocorrelation function is:\n", "\n", "$$C_X(\\tau) = \\frac{4S_0}{\\tau} \\sin\\left( \\frac{ \\Delta\\omega}{2} \\tau \\right) \n", " \\cos\\left( \\omega_0 \\tau \\right) $$\n", "\n", "where $\\omega_0 = (\\omega_1 + \\omega_2)/2$ is the band center.\n", "The corresponding variance is:\n", "\n", "$$ \\sigma_X^2 = C_X(0) = 2\\Delta\\omega S_0$$\n", "\n", "As the band width $\\Delta\\omega$ decreases, the signal above approaches a \n", "cosine wave with frequency $\\omega_0$, as described in the previous section.\n", "\n", "Let us take a look on a band-limited Gaussian white noise simulation with ``MRPy``.\n", "The simulation uses $S_0 = 1$, hence the standard deviation will be \n", "$\\sigma_X = \\sqrt{2\\Delta\\omega}$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean value: -0.0000\n", "Standard deviation: 1.0000 \n", "\n" ] }, { "data": { "image/png": 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", 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = MRPy.white_noise(NX=1, N=2**15, fs=512, band=[1, 100])\n", "\n", "print('Mean value: {0:7.4f}'.format(X[0].mean()))\n", "print('Standard deviation: {0:7.4f}'.format(X[0].std()),'\\n')\n", "\n", "f03 = X.plot_time(fig=3, figsize=(8,3), axis_t=[0, Td, -10.00, 10.00])\n", "f04 = X.plot_freq(fig=4, figsize=(8,3), axis_f=[0, 32, 0.00, 1.00])\n", "f05 = X.plot_corr(fig=5, figsize=(8,3), axis_T=[0, 1, -1.00, 1.00])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The ``MRPy`` module uses a simulation technique that gives an almost perfectly\n", "constant periodogram, as specified.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 8.5. Signal derivation and integration \n", "\n", "As a starting point, let us calculate the following derivative:\n", "\n", "$$ \\frac{d}{d\\tau}\\left[ X(t) X(t+\\tau) \\right] = \n", " X(t) \\cdot \\frac{d X(t + \\tau)}{d(t+\\tau)} \\cdot \\frac{d(t+\\tau)}{dt} =\n", " X(t) \\dot{X}(t+\\tau) $$\n", "\n", "Now, using the expected value operator and considering autocovariance symmetry:\n", "\n", "$$ \\frac{d C_X(\\tau)}{d\\tau} = {\\rm E}\\left\\{ X(t) \\dot{X}(t+\\tau) \\right\\} \n", " = {\\rm E}\\left\\{ X(t-\\tau) \\dot{X}(t) \\right\\} $$\n", "\n", "and following the logic to find the second derivative:\n", "\n", "$$ \\frac{d^2 C_X(\\tau)}{d\\tau^2} = -{\\rm E}\\left\\{\\dot{X}(t) \\dot{X}(t+\\tau) \\right\\} \n", " = - C_{\\dot{X}} (\\tau)$$\n", "\n", "With this result at hand, we go back to the relation between power density and \n", "autocovariance:\n", "\n", "$$ C_X(\\tau) = \\int_{-\\infty}^{+\\infty} {S_X(\\omega) e^{i\\omega\\tau} \\, d\\omega} $$\n", "\n", "and apply double derivative:\n", "\n", "\\begin{align*}\n", "\\frac{d C_X(\\tau)}{d\\tau} &= \n", " \\int_{-\\infty}^{+\\infty} {i\\omega S_X(\\omega) e^{i\\omega\\tau} \\, d\\omega} \\\\\n", "\\frac{d^2 C_X(\\tau)}{d\\tau^2} &= \n", "- \\int_{-\\infty}^{+\\infty} {\\omega^2 S_X(\\omega) e^{i\\omega\\tau} \\, d\\omega}\n", "\\end{align*}\n", "\n", "Now, considering that the following relation is also valid:\n", "\n", "$$ C_\\dot{X}(\\tau) = \\int_{-\\infty}^{+\\infty} {S_\\dot{X}(\\omega) e^{i\\omega\\tau} \\, d\\omega} $$\n", "\n", "It finally results that:\n", "\n", "\\begin{align*}\n", "S_\\dot{X} (\\omega) &= \\omega^2 S_{X} (\\omega) \\\\\n", "S_\\ddot{X}(\\omega) &= \\omega^4 S_{X}(\\omega)\n", "\\end{align*}\n", "\n", "These relations allow us to calculate the spectral density of velocity and\n", "acceleration processes from the spectral density of displacement process, or vice-versa.\n", "They are quite useful for converting signal amplitudes obtained with one type of \n", "transducer (for instance, an accelerometer) to amplitudes as they would have been\n", "obtained with other type of transducer (for instance, displacement).\n", "\n", "The ``MRPy`` class provides the calculation of derivatives and integrals in\n", "frequency domain, as demonstrated below. The methods allow the definition\n", "of a passing frequency band, for simultaneously eliminating noise errors.\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "acc = MRPy.white_noise(N=2**15, fs=512) + 0.001*MRPy.harmonic(N=2**15, fs=512, f0=0.5)\n", "Td = acc.Td\n", "\n", "f03 = acc.plot_time(fig=3, figsize=(8,3), axis_t=[0, Td, -10.00, 10.00])\n", "f04 = acc.plot_freq(fig=4, figsize=(8,3), axis_f=[0, 1, 0.00, 0.01])\n", "f05 = acc.plot_corr(fig=5, figsize=(8,3), axis_T=[0, 0.1, -1.00, 1.00])" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "V1 = acc.integrate() # integration without filtering\n", "#V1 = acc.differentiate() # integration without filtering\n", "\n", "f03 = V1.plot_time(fig=3, figsize=(8,3))#, axis_t=[0, Td, -0.50, 0.50])\n", "f04 = V1.plot_freq(fig=4, figsize=(8,3))#, axis_f=[0, 2, 0.00, 0.10])\n", "f05 = V1.plot_corr(fig=5, figsize=(8,3))#, axis_T=[0, 32, -1.00, 1.00])" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "V2 = acc.integrate(band=[0.3, 0.7]) # integration with filtering\n", "\n", "f06 = plt.figure(6, figsize=(8,3))\n", "f06a = plt.plot(V1.t_axis(), V1[0], 'r')\n", "f06b = plt.plot(V2.t_axis(), V2[0], 'b')\n", "\n", "#plt.axis([0, Td, -1, 1])\n", "plt.grid(True)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Whenever a signal is integrated without a low frequency cut, \n", "a _zero drift_ is expected to happen! This can be avoided by setting a lower frequency\n", "bound as high as possible without attenuating the useful part of the signal.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 8.6. Basic stationarity test \n", "\n", "Previously we have demonstrated that:\n", "\n", "$$ \\frac{d C_X(\\tau)}{d\\tau} = {\\rm E}\\left\\{ X(t) \\dot{X}(t+\\tau) \\right\\} = \n", " \\int_{-\\infty}^{+\\infty} {i\\omega S_X(\\omega) e^{i\\omega\\tau} \\, d\\omega} $$\n", "\n", "By making $\\tau = 0$ in the relations above gives:\n", "\n", "$$ {\\rm E}\\left\\{ X(t) \\dot{X}(t) \\right\\} = \n", " \\int_{-\\infty}^{+\\infty} {i\\omega S_X(\\omega) \\, d\\omega} $$\n", "\n", "The power spectral density is a _pair function_. Multiplying it by $i\\omega$\n", "necessarily yields an _odd function_. Consequently the integral vanishes and:\n", "\n", "$$ {\\rm E}\\left\\{ X(t) \\dot{X}(t) \\right\\} = 0 $$\n", "\n", "This relation can be a shortcut for ascertaining the signal stationarity and hence\n", "validating the constancy of its spectral density.\n", "\n", "This result can be demonstrated through simulation with the ``MRPy`` module.\n", "A Gaussian white noise is simulated and its derivative is calculated. Both\n", "procedures restrain the signals to the same limited band:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[1.00000000e+00 2.98538788e-18]\n", " [2.98538788e-18 1.00000000e+00]]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = MRPy.white_noise(NX=1, N=2**15, fs=512, band=[8, 16])\n", "Xdot = X.differentiate(band=[8, 16])\n", "\n", "f07 = plt.figure(7, figsize=(3,3))\n", "f07a = plt.plot(X[0], Xdot[0], 'b.')\n", "\n", "#plt.axis([-10, 20, -500, 500])\n", "plt.grid(True)\n", "\n", "print(np.corrcoef(X, Xdot))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The lack of correlation between the process and its derivative observed in the plot \n", "above is an evidence of process stationarity." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 8.7. Level upcrossing and peak factors \n", "\n", "For a stationary process, the expected number of upcrossings, $N^{+}_a(T)$, of a given\n", "amplitude level, $a$, within a given observation time, $T$, is given by:\n", "\n", "$$ N^{+}_a(T) = \\nu^{+}_a T$$\n", "\n", "where $\\nu^{+}_a$ is the _upcrossing rate_ of level $a$. In other words, the number of\n", "upcrossings is proportional to the observation time.\n", "\n", "\"Level\n", "\n", "The upcrossing rate is calculated by integrating the joint probability distribution \n", "of the process amplitude and its derivative, such that the amplitude is fixed at\n", "level $a$ and only positive values are regarded for its derivative:\n", "\n", "$$ \\nu^{+}_a = \\int_0^{\\infty} {p_{X\\dot{X}}(x=a, \\dot{x}) \\, x \\, d{\\dot{x}}} $$\n", "\n", "This result can be particularized for a Gaussian process, also considering that\n", "stationarity implies that the process and its derivative are uncorrelated:\n", "\n", "$$ \\nu^{+}_a = \\frac{1}{2\\pi} \\, \\frac{\\sigma_\\dot{X}}{\\sigma_X} \\,\n", " \\exp \\left( -\\frac{a^2}{2\\sigma_X^2} \\right) $$\n", "\n", "Recalling from previous results that:\n", "\n", "$$ \\sigma_X^2 = \\int_{-\\infty}^{+\\infty} {S_X(\\omega) \\, d\\omega} $$\n", "\n", "and that:\n", "\n", "$$ \\sigma_\\dot{X}^2 = \\int_{-\\infty}^{+\\infty} {\\omega^2 S_X(\\omega) \\, d\\omega} $$\n", "\n", "allow us to estimate the upcrossing rate for any stationary signal by\n", "integrating the periodogram as indicated above.\n", "\n", "Para a parcela flutuante da resposta em deslocamento, como a análise foi conduzida no domínio da frequência, resultados no domínio do tempo só pode ser obtidos em termos estatísticos. A abordagem da NBR-6123 consiste em se adotar um fator de pico da resposta modal $g_k = 4$, aplicado sobre o desvio padrão da resposta flutuante.\n", "No entanto, já que o espectro da resposta está disponível, é possível obter-se uma estimativa mais precisa deste fator de pico utilizando-se a fórmula de Davenport:\n", "\n", "$$g_k = \\sqrt{2 \\ln (\\nu^{+}_0 T)} + \\frac{0.5772}{\\sqrt{2 \\ln (\\nu^{+}_0 T)}}$$\n", "\n", "onde $T$ é o tempo de observação, adotado como 600s na NBR-6123, e $\\nu_k$ é a taxa de cruzamento do nível zero para o positivo (_zero upcrossing rate_), calculada a partir do espectro como:\n", "\n", "$$ \\nu^{+}_0 = \\sqrt{\\frac{\\int_0^\\infty{f^2 S_X(f) \\; df}}\n", " {\\int_0^\\infty{ S_X(f) \\; df}}} $$\n", "\n", "Observe-se que o denominador dentro da raiz é a variância da resposta modal. \n", "\n", "Aplicando-se as expressões acima ao exemplo de cálculo tem-se:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Peak factor from Davenport: 4.376\n", "Peak factor from splitmax: 3.944\n", "Peak value for displacement: 4.377\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "T = 2000\n", "\n", "X = MRPy.white_noise(N=2**16, Td=T) # full band white noise\n", "Y = X.sdof_Duhamel(4, 0.01) # mass-spring system response\n", "Y = Y/Y[0].std() # forces deviation equal to 1\n", "\n", "Tm = X.Td\n", "gD = Y.Davenport(T=T) # Gaussian narrow-band process\n", "gS = Y.splitmax (T=T) # Prof. Rocha's method\n", "\n", "Ypk = Y[0].mean() + gD[0]*Y[0].std() # mean + g.deviation\n", "\n", "print('Peak factor from Davenport: {0:6.3f}'.format(gD[0]))\n", "print('Peak factor from splitmax: {0:6.3f}'.format(gS[0]))\n", "print('Peak value for displacement: {0:6.3f}'.format(Ypk))\n", "\n", "f09 = plt.figure(9, figsize=(12,4))\n", "f09a = plt.plot(Y.t_axis(), Y[0], 'r', lw=1)\n", "\n", "plt.axis([0, X.Td, -6, 6])\n", "plt.grid(True)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Portanto, o pico do processo é dado por:\n", "\n", "$$ {\\rm E}\\left\\{ X_{\\rm peak} \\right\\} = \\mu_X + g_k \\sigma_X $$\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 8.8. Frequency domain signal filtering \n", "\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Td = 4. # total signal duration\n", "fs = 2048 # sampling rate\n", "N = int(Td*fs) # total number of samples\n", "f60 = 60. # sinus wave frequency\n", "\n", "t = np.linspace(0, Td, N) \n", "xi = np.sin(10*np.pi*t) + np.random.randn(N) + np.cos(2*np.pi*f60*t)\n", "X = MRPy(xi, fs=fs)\n", "\n", "Y = X.filtered(band=[0, 20], mode='pass') # try out also 'stop'\n", "\n", "f08 = plt.figure(8, figsize=(12,4))\n", "f08a = plt.plot(X.t_axis(), X[0], 'r', lw=0.5)\n", "f08b = plt.plot(Y.t_axis(), Y[0], 'b', lw=0.8)\n", "\n", "plt.axis([0, 1, -10, 10])\n", "plt.grid(True)\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[[]]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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