{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Basics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Exploring some of the signal processing bits and bobs in NumPy and SciPy. \n", "\n", "Reproducing [this paper](http://www.subsurfwiki.org/wiki/Uncertainty_in_spectral_decomposition) of mine." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Prelims" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import numpy as np\n", "#from numpy.fft import fft, fftfreq\n", "from scipy.fftpack import fft, rfft, irfft, fftfreq, rfftfreq\n", "import scipy.signal\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Basic signal and plot" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "dt = 0.001\n", "T = 10\n", "f = 2\n", "f1 = 5\n", "\n", "t = np.linspace(0, T, T/dt)\n", "signal = 0.4 * np.cos(2*np.pi*f*t) + np.cos(2*np.pi*f1*t)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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PQJ764QV/qR3vw/ypIwRO3RYpgaRXAltd7WJLn6uNxeLi5Jl/urlBkjrOOMO+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\n9HqhHytBAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(t, signal)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "SIGNAL = fft(signal)\n", "freq = fftfreq(signal.size, d=dt)\n", "freq\n", "\n", "# Chop off the negative frequencies\n", "keep = freq>=0\n", "SIGNAL = SIGNAL[keep]\n", "freq = freq[keep]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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xnJbR0e5LRB0ClgOHQII8HJSO8fFiqe5Ax78UXydguXAIJMjDQenoNhQEXiJq+egZApK+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\nMYeAmVkfcwiYmfUxh4CZWR/7P7g7nZs3wsVmAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax1 = plt.subplot(111)\n", "ax1.plot(freq, np.abs(SIGNAL))\n", "ax1.set_xlim(0,10)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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rZem/Zyl3x1h2R0nS8H5oJW3hQi6r857VcXf0+mZMvUI7xdxCQdImJ7mttGIo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\n2XdxLzgWC2iyXeeipMHND6qNdv2VWVQtwghCp0nakiW2oqhJmlVXqJ9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5rIOdrqQREX3q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8fGt0TaM54RP1Pp84HW7b7gBe3lKdWted/76n+nJnk2YcmSGAaWE2kyjbBmaChmprn77vSacvJh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\npiKtqmLSFnLYYcAJJ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dt = 0.001\n", "t = np.arange(0.0, 5.0, dt)\n", "s1 = np.cos(2*np.pi*20*t)\n", "s2 = 2*np.cos(2*np.pi*43*t)\n", "\n", "# create a transient\n", "#mask = np.where(np.logical_and(t>1, t<4), 1.0, 0.0)\n", "w = scipy.signal.hann(5000)\n", "s2 = s2 * w\n", "\n", "# add some noise into the mix\n", "nse = 0.1*np.random.randn(len(t))\n", "\n", "x = s1 + s2 + nse # the signal\n", "NFFT = 256 # the length of the windowing segments\n", "Fs = int(1.0/dt) # the sampling frequency\n", "\n", "plt.figure(figsize=(15,3))\n", "plt.subplot(111)\n", "plt.plot(t, x)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "X = fft(x)\n", "freq = fftfreq(x.size, d=dt)\n", "\n", "keep = freq>=0 # only positive frequencies\n", "X = X[keep]\n", "freq = freq[keep]\n", "\n", "ax1 = plt.subplot(111)\n", "ax1.plot(freq, np.absolute(X)/3000.)\n", "ax1.set_xlim(0,60)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compare to PSDs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`scipy` has some utilities to estimate power spectral density using the periodogram and Welch's method. Let's try those...\n", "\n", "### Periodogram\n", "\n", "[`scipy.signal.periodogram`](http://docs.scipy.org/doc/scipy-0.14.0/reference/generated/scipy.signal.periodogram.html)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import scipy.signal\n", "f, P = scipy.signal.periodogram(x, Fs)\n", "\n", "ax1 = plt.subplot(111)\n", "ax1.plot(f, P)\n", "ax1.set_xlim(0,60)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Welch's method\n", "\n", "[`scipy.signal.welch`](http://docs.scipy.org/doc/scipy-0.14.0/reference/generated/scipy.signal.welch.html)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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HljeL3gqsKbeIlNQ9VTUBBW/w58m0jaJ7LPuXFtvuwE1lH7gqGCfmx9RLw8rv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\n/0fSHgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, P = scipy.signal.welch(x, Fs, nperseg=1024)\n", "\n", "plt.figure(figsize=(20,5))\n", "\n", "ax1 = plt.subplot(131)\n", "ax1.plot(f, P) \n", "ax1.set_xlim(0,60)\n", "\n", "ax2 = plt.subplot(132)\n", "ax2.plot(f, 20*np.log10(P)) \n", "ax2.set_xlim(0,60)\n", "\n", "ax3 = plt.subplot(133)\n", "ax3.semilogy(f, P) # Note plot type... same as taking 20*np.log10(P)\n", "ax3.set_xlim(0,60)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Reproduce Figure 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a horrendously elaborate way to go about this... " ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def onedplot(dt=0.001, T=1.0, view=None, support=0.128, noise=0.0, f=60.0, window=None, perturb=None, title=None, ylim=None):\n", " \n", " if not view: \n", " view = T\n", " \n", " # The lead time outside the support\n", " lead = (T - support)/2.0\n", "\n", " # The time basis\n", " t = np.linspace(0.0, T, T/dt)\n", " s1 = np.sin(2*np.pi*f*t)\n", " \n", " # create a transient\n", " mask = np.where(np.logical_and(t>lead, t<(lead+support)), 1.0, 0.0)\n", "\n", " x = s1 * mask\n", "\n", " windows = {'hann': scipy.signal.hann, 'boxcar': scipy.signal.boxcar}\n", " if window:\n", " w = windows[window[0]](window[1])\n", " if window[1] < x.size:\n", " l = int((x.size-window[1])/2.0)\n", " x[:l] = 0.0\n", " x[l:-l] *= w\n", " x[-l:] = 0.0\n", " else:\n", " x *= w\n", " \n", " # add some noise into the mix\n", " nse = noise * np.random.randn(len(t))\n", " x += nse\n", "\n", " SIGNAL = abs(fft(x))\n", " freq = fftfreq(x.size, d=dt)\n", " \n", " keep = freq>=0 # only positive frequencies\n", " SIGNAL = SIGNAL[keep]\n", " freq = freq[keep]\n", "\n", " plt.figure(figsize=(18,3))\n", " ax1 = plt.subplot(121)\n", " ax1.plot(t, x)\n", " ax1.set_ylim(-1.2, 1.2)\n", " ax1.set_xlim(0, view)\n", " \n", " if title:\n", " plt.title(title)\n", " else:\n", " plt.title('Signal, {0:.0f} ms padded to {1:.0f} ms'.format(support*1000, T*1000))\n", "\n", " ax2 = plt.subplot(122)\n", " ax2.set_xlim(0, 2*f)\n", " if ylim:\n", " ax2.set_ylim(0, ylim)\n", " \n", " if perturb:\n", " s2 = np.sin(2*np.pi*(f+perturb)*t)\n", " s3 = np.sin(2*np.pi*(f-perturb)*t)\n", " x2 = s2 * mask + nse\n", " x3 = s3 * mask + nse\n", " if window:\n", " x2 *= w\n", " x3 *= w\n", " SIGNAL2 = abs(fft(x2))\n", " SIGNAL3 = abs(fft(x3))\n", " SIGNAL2 = SIGNAL2[keep]\n", " SIGNAL3 = SIGNAL3[keep]\n", " ax1.plot(t, x2)\n", " ax1.plot(t, x3)\n", " ax2.plot(freq, SIGNAL)\n", " ax2.plot(freq, SIGNAL, '.', color='blue')\n", " print(freq.size, SIGNAL.size, SIGNAL2.size)\n", " ax2.plot(freq, SIGNAL2)\n", " ax2.plot(freq, SIGNAL2, '.', color='green')\n", " ax2.plot(freq, SIGNAL3)\n", " ax2.plot(freq, SIGNAL3, '.', color='red')\n", " else:\n", " ax2.plot(freq, SIGNAL)\n", " ax2.plot(freq, SIGNAL, '.', color='red')\n", "\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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AhBrGTSRLDtSaVFgPJxXMzMyq9VNgRkRsBWwP3AecDMyMiC2AP6X7ZpYjia0+yCVLl6ML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\nlJVOfP4X+McILml9lGbdQ2JLskTfjWR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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dt = 0.001\n", "T = 0.256\n", "view = 1.024\n", "support = 0.128\n", "noise = 0.0\n", "f = 32\n", "\n", "onedplot(dt=dt, T=T, view=view, support=support, noise=noise, f=f)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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mzS2rSoV6Linp6Q9m1gj/AsyBt5aJOw+YHhEjgVvT+2ZWuiOAlyJ4NetA6uCv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\nMzMzMzMzs075f/ScltZ7gV8yAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "T = 1.024\n", "support = 0.128\n", "\n", "onedplot(dt=dt, T=T, view=view, support=support, noise=noise, f=f)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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C9BaJCt0x6BC1vapbdzQOAhadzkk0iVTosiDhtPLruwhp78qRqu/gUNml/AGu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\nzW218TCnvP2TXLr9Zp5zwLGcdn5wF5v++LnctM7wDW31T4j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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "T = 1.024\n", "support = 0.768\n", "\n", "onedplot(dt=dt, T=T, view=view, support=support, noise=noise, f=f)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Interactive version" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ":0: FutureWarning: IPython widgets are experimental and may change in the future.\n" ] } ], "source": [ "from IPython.html import widgets" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def slidy_signal(**kwargs):\n", " \n", " dt = 0.001\n", " f = 2\n", "\n", " onedplot(dt=dt, f=f, **kwargs)\n" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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fsel0PrcBETwtsYQ0t0cRiagiFZJwiCAkFpISZPd2HFWxikoAQkoC7kjnwzPM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\n1aFKURw5nQQ86M7lZuxNqJrcOw9X/huZMQ6Y5c5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MG3XrW+oAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "widgets.interactive(slidy_signal, T=4, support=2.5, noise=0.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Figure 3" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "32 32 32\n" ] }, { "data": { "image/png": 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+xutMxOqGAijVrEp1Id7j+17gCbxi+FjgB2CiUv2oVEOVaq4aTjWE1mp3YESt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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "T = 0.064\n", "support = 0.064\n", "view = 0.064\n", "f = 45.0\n", "title = '64 ms; Hann; 43, 47, 51 Hz sine'\n", "\n", "onedplot(dt=dt, T=T, view=view, support=support, noise=noise, f=f, window=('hann', 64), perturb=4.0, title=title)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Figure 4" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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fbkgu6q0b6kxiH2DNCLbIHYtZKYkRpM+HX4vg1tzxWGdrWEImaWpScvIF4HlS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\nYtK6Y2/ljsesVUkMAcYDIyJ4OXc8lo/XIbNmdjCwXTGDYbPaCrjOyZi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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dt = 0.001\n", "T = 0.064\n", "view = 0.064\n", "support = 0.064\n", "noise = 0.0\n", "f = 32\n", "f1 = 62\n", "f2 = 64\n", " \n", "lead = (T - support)/2.0\n", "t = np.linspace(0.0, T, T/dt)\n", "s1 = np.sin(2*np.pi*f*t) + np.sin(2*np.pi*f1*t)\n", "s2 = np.sin(2*np.pi*f*t) + np.sin(2*np.pi*f2*t)\n", "\n", "mask = np.where(np.logical_and(t>lead, t<(lead+support)), 1.0, 0.0)\n", "nse = noise * np.random.randn(len(t))\n", "window = scipy.signal.hann(s1.size)\n", "signal1 = s1 * mask * window + nse\n", "signal2 = s2 * mask * window + nse\n", "\n", "SIGNAL1 = abs(fft(signal1))\n", "SIGNAL2 = abs(fft(signal2))\n", "freq = fftfreq(signal1.size, d=dt)\n", "\n", "keep = freq>=0 # only positive frequencies\n", "SIGNAL1 = SIGNAL1[keep]\n", "SIGNAL2 = SIGNAL2[keep]\n", "freq = freq[keep]\n", "\n", "plt.figure(figsize=(15,7))\n", "ax1 = plt.subplot(221)\n", "ax1.plot(t, signal1)\n", "ax1.set_ylim(-3, 3)\n", "ax1.set_xlim(0, view)\n", "plt.title('Signal, {0:.0f}, {1:.0f} Hz plus {2:.0f} Hz'.format(support*1000, f, f1))\n", "\n", "ax2 = plt.subplot(222)\n", "ax2.set_xlim(0, 2*f2)\n", "ax2.plot(freq, SIGNAL1)\n", "ax2.plot(freq, SIGNAL1, '.', color='red')\n", "\n", "ax3 = plt.subplot(223)\n", "ax3.plot(t, signal2)\n", "ax3.set_ylim(-3, 3)\n", "ax3.set_xlim(0, view)\n", "plt.title('Signal, {0:.0f}, {1:.0f} Hz plus {2:.0f} Hz'.format(support*1000, f, f2))\n", "\n", "ax4 = plt.subplot(224)\n", "ax4.set_xlim(0, 2*f2)\n", "ax4.plot(freq, SIGNAL2)\n", "ax4.plot(freq, SIGNAL2, '.', color='red')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Figure 6" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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y80Z6TG5wps3Rz3WIm7uangCGZwf1CJW8faa6pLHrbS1sOlggiG73S9c5PMb0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+mncQOXiW5JxlZ5IeC2ZWRKVJhYXA+IL740kqETo7Zlz62GYifrl/hfGYdTsS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\nzs047iDghpUMfmwwq46hRifYGQIasQF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VlJaIMDMzMzOzKuekglntaWlPhVITEWZmZmZmVuWcVDCrPS3tqVBqIsLMzMzMzKqckwpm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\nAIsyjqdsRMSiSAHXU8PPnZxrx8051w4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dt = 0.001\n", "T = 2.096\n", "view = 2.096\n", "support = 2.096\n", "noise = 0.0\n", "f = 16\n", "\n", "onedplot(dt=dt, T=T, view=view, support=support, noise=noise, f=f, title=\"Long-lived signal\")\n", "onedplot(dt=dt, T=T, view=view, support=support, noise=noise, f=f, window=('boxcar', 256), title=\"Short-lived signal\")\n", "onedplot(dt=dt, T=T, view=view, support=support, noise=noise, f=f, window=('hann', 256), ylim=140, title=\"Short-lived signal, tapered\")" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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q1Jg1GdGoppBmZmbW+sbPZ8tpRJzYAxIKAPcAb5YYm3cgZu3ISQWz9pS5zwHV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\noCPClYB5SpeedFD50qvPAj9NE0qt4mR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YNnxv3tj7cY7aCfgk0DeCM/fk7dfT5s/tzrtnRPBgBJMi+MeOLHk/s200Dw0F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\nblfem59Wr5iVJScVzCxjFU4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "onedplot(dt=dt, T=T, view=view, support=support, noise=noise, f=f, window=('hann', 256), ylim=140)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Figure 7" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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oqnMQpUIrRFikyp1B8kLaKxXeL8KXVfnh4L2rJFTixJhP/jvrrnlsZZ7Uc5cK\nWrgh8DfVVs9PSEzZUadUyHnWX1CT32+jzmKnbVBPoyNUVUWk6j5UKJhkibe7VFWXdtUvwzAMw5gJ\niMhiYHFO3kGVCjmDpt8Am6rqvSKyL/BtYJt41pc9XuSUJeXOUlA3wGu6+kMObSwVVgYo4zu8Q7VH\nwFARlgLPV+WvNA8+mDsAbTzwFGExcCK9a84PYq6dsigZJ20EzroybZQKbQI1VikV/GvtFHaNLRVE\neCXwSaaDUW6tylU5y34yLUg/B/gova4vuby83KaueZWwHioVunQ16qtLhB2BiyliZ5wDvK88VGup\nIMJOqlzsJ5Xbw4ANYWClQu65d+3+EIupUBwQRLXftUqEh6vyNy/9RuAD1CzNWkO4+oNPSpnRJBZH\nXZ5UTBJ3zlupclWD9nrqLvt6AMhdZP4TN/q4RUQ2UNWbRWRD4NYy/QZgUy/fJmVaFFVdMrwuGoZh\nGMbkUyrUl7p9EXlPKu+gM3/hP+lN6TUvRFXvVtV7y99nAQtEZJ14dZ+/QFWXlH9LvQMpE1zICz4Y\no41SwZV5K3GrhacAO5Um3Y1cJSobF6Q0t20rvG9Pr0IB6pUKbQJZ+sSEtb1EOK5BvbWIsEcpGDex\nVHC0tVSAbiwVFgTbOkuFVJ1V74djTwrlhSvrVjHJmXl35+rM3ZsEagyvb/isuP7kKBVi1+YVIvxr\ng/7k4H+f9gYOKH+vSr9F0ioirOH1bWfv2Kr0Wm4NTXGY04YIi0TYk2ZKhSPK71msndS3wu3H4udU\nLduagzu/mGI6pZALvw2tZq5rcHX7cRua1jWPIrjjd0AfAv2Y+3/Ysk9zlTOAw8vfh1NMZLj0Q0Rk\noYhsQRGv5vwx9M8wDMMwZh2DKhUuALYWkc1FZCFFZOUz/Awisr6IlLM4shsgqnp7or7UIKyp+8Ow\nYir4ZUJBzvV9IXAl3QbdauOS4NMmvkFVWw9PlKnjVcBRDfqSgxN42igV2sZUEMpnrVwRwCdUKlQ9\nZ5uXW2ep8D7SgpFPaka2SmBzsSZcgMlwmcgqqvzYm5K6P3UxAFLt7wR8fKAe9RK73q7dmKXCd4C/\nJOr6V+AnLfqwMIzHUq7wkXP9q+7V+ygsVeYD8xoEfd00kuYrFcJ7WiW8t7FyCdsFeFTkmIjwZc/6\nxiliQ2uLqm9EE/eWp3t96ioujKvnHOCdHdQ5qxGRrwC/ALYVketE5AiKoLXPFJErgKeV+5Rul6cB\nlwJnAa9QmD2HAAAgAElEQVRV1ZmwapNhGIZhTDwDuT+o6kMi8noKX+/5wGdV9Y8icmR5/CTg+cBr\nROQhimXeDqmqMpE+KTEVqpQKTkhzwkDTVRpyhNucGekYbc7Vj9K/DXClZ+IcxsTIDdRYt4zlIAyq\nJILErLoIO1ME/PLLuzpWojcewBYifEKVN7j9in5s4NUBsH/5F+trXRoUAmwqMKFTJriI/U2UCi5P\nG8VNSBulQmcxFURYQ5V7KrKsSWGiH2s/plR4NL2z7/75hSuE5H6fTgaOoLB8cnwOaleo8IldZ38J\n01WBuxL5QmJCc7ZSQYQzgFPLtH9ktEdZToENVHvevcoiwIuCtBXAmxL9jNFEyDy+w7qg6N/fanMZ\nU6jqoYlDz4glquoxwDHD65FhGIZhzE0GjangXBrOCtJO8n6fSOHPPwhNV38ACmFQld8n8mYJKCJs\nwvTsml/msSJc6AVzc0KamxEeaAZEhPWBearcRO9MbRuBrolg2iPAibAKcDmwH8F9zqgLEVS1kU9z\nNiJsxvRKFG3dH8I6V1KdMu93dV1Ev+WJK7uAXqXC48o/p1Q4mDSujqbv4QdFep5rxy4VZdxz6dxy\n3PNaeU9EeAvT8UGqLAZS5Mbf6BO4y8B+vuA7kPJJhCdSzGrW1bN3WNTbhv0M6/qiCPuq8uJIvU2e\n/8dH0qbcTiJxDMI2qt75eTRbJSXWzgrS9yV83w9g+nlraqmwiF6FXtU1TFn57JI43ltYOI+Eu0rp\nAvIFLz11zrH2cwnfqyZuRoZhGIZhGGNjZNHUmyLSswb6PC99XkVsATdwdcc3DKuN1VnRh/kUq1vE\nhKn/Az7m7TthY2Gw35YLgcuCdhtZKohwlwhb0L8EZGWxqeLC4yjWT4fSn768JiG5z1GVv/fGIlN+\n/rlcC7iAIV25PzzoPV/+efnB5UJLhdy2QnKUCrFr9lj6LRrqcM+le69ql9cr+Yj32917/31sKug3\nialwI8UMfVeWCjmrn8Tw3/+c9/qfWrbj4wu07vyXU69gyXFV6Vv9QYQtSgVqjBVMWx1820tv4v7g\nrlufUkGE/UX4cEV/fZoI6k1jKoQrF/nsBTwxUd6P6RJrv2hceIYIr6loIzdui2EYhmEYxkQxsUoF\nmIqgDb2DreXA2xNlwpgKVQJPzrm7Wd3UDK1v3uzaXhDst2U9ClPsqvbreBjwZ3oFQ4eLVn60yJTi\nYCq93PpKGdd2zHQ0d5auyv1hO6bPtwnO9Lzn2oiwUIQlFe25bVXMgpS7i3jH2i7n6NdfpVQ4XiQ6\n691WmG/j/hDW4V+XpuffdPWHDem/H20tXtb1d0ph/UcZ5XyhdJD3uklZP697Pprc851F2C5Ic+Xn\nl3++wuJy4NeJuvzrfZBXV+o7G1vW0j1vsdn3NwBvq2pbJEt5l+pHqFTYoQyu2YS2AYF9jqdYgSWF\nKRUMwzAMw5iRTJpSwR+s+QJtODv+uESZ0PS3ymc+Z4Duot3PD7YxQkuF2oGnCGuKTEWaz42pEM4w\nzhfhf+vaijVfbvek15LBv3ZhcELoX0XC798gNDHHjhEKDo+itGIog9zFFFHh6g/hc1N1Xk0tFarq\neFNFnqcBbxygDYcTUEatVGjk/iDCAcEyl77wmrwfmUEMw2csV0ivcn9I9UeAHYLkJsKo347rt/9O\n1lkqbER/ZPs+pQK9iq0NiPNc+hW5TfoC1dft3opjKsKmwIOROkPqlApu+zriK1PEKxU+lKg31naV\n8qHOYsyUCoZhGIZhzEgmWangE86qpYT7cOCaMrXu+V0u2bgz/TilQo6QGcZUyBE+fgRc3dNB4Y7S\nlzzmqhFrfxHwioy2UqSWQPSFOT89ezWCCFWWCpXCqQhvCiPiB4QR3v1r9aHyLyT1fNS5UnRtqVAV\nC6GqH00In8+smAoBrr8v9dKaKhXq3B/C93AexdJvft4YOfchV8ER4j8PuXVcTxGktoqq9v3vR2zJ\n0RxBPrQKeFW59ZUKrp4q16M3E/9O9L1rpYLz5EgdoWuaz98r2lZKC6ZScdREqeAIzxXoca9LsVG5\n3Z/e+1H7DRThMuD08rdzK6lbZthiKhiGYRiGMSOZNKVCinBQuLII+0Xy1QVR8/HPfUeKYHwhqwV5\nqywfwgj5OcLa5vSb/C+iWCYxJtDH7teqgIs10cZ9IJxpr1MqTCfEYw8k81N9TY4p61wkwkcjxz8G\nXFNRPuyDv59S8KQE3Bwf/laWCqV1ytEZ9ddW1TB/z6ynF+TvnAZ1XFqW/bGX1tTCJOz3BeU2JXQK\n8LPyd9X1GoVSITemAkwLpD5NrEL8vrprvJaXltP3lFA6j35LhaYCbErBsW8ivzv3D4twY3CsylIB\npt3MHkYzpYILdjnoqiVKtQVCjG2ZXvnlunJbp8gIn+/lZTBawzAMwzCMiWamKBVCn+JnAv+v/B0T\n7HPcH/xjKcGoiVLBCUVusO7MuY9I1F1FaIlRFajRmdS+kerZxpCU1Ued+0PMXSA2WG86gHduFY8G\n3izStxwfxAU1Ryg4+O2nhMlw5rmJ+0NbS4V9gf/KqN+ni+ubEmhfCdyRWceRkbSuYiqkVi2YR//9\niAl1bZQKH8wo4/cp1/0hx4pgOrOgImweJMfcHy6g+p0L20gpCuYz/U1tuwJJSqmQ6pev1PJd2/5I\njfsD08vzLgI+XpE3bPsx5TamVFARnifCI0SSy7BW9SnZtkhyOeE6S4WY+8O15Qo8hmEYhmEYE8tM\nUyrU9TcUTHItFVL5/HXd/W0MN2h2pq5OKPhcLHM5y79u7Bi9M4lu323DvrqB6pYVfYsiwlrQF/E9\nZakQI1xqMFaPT84Mn/OdzrW6SAVjmxfJE1Ln/pB63vxrkyuMuT74AeKa+vTXpVWR8s9eDqwlwv9k\n1BFbDrDTmAoR/Gtd6/4gwm6eJUhdXw6rqC/sg9sOEqgxbN//Nmxakddd49WA8xq04S9B+UsvPRVT\ngSCeRRU5rhh+epW1UFXsgFcw/c40Wv0maCPsjwLfBG4FfptY1cYxtfpFBU/1foexLBx170oqJkTb\n8zYMwzAMwxgJM0Wp4AZVB5Tb1AA1JcDEBoQ5A7XowDuB65OLYl43CN2toj9Tv0V4NtVKjdVix0T4\nQU37AN9l2l99qmi5zbFUOD045lO7xFoCN/Cum9UL63TtuWj+uQJNzKQ8x/2hraWCP4uZ+/51IVSk\nrsGKsh+vbllHU/eHpqs/+M9h1fVy/Xg705YgdW3k3jvX7np434DSmia1DGOMquc/FKxjlgo+Td0f\n9vB+V1oqZC4T2qPsEeFAERYS/2ZA+v5uCyyuaOedMBXMtq5fqeM57g9Vx0L3h7p+PKriWJVSKvV8\nDxIM1jAMwzAMY+hM2mDFLR8WDtrc4P+b5bYuaFaO+bovqFUGiPTqyVn9oa9OEbYA/qzac15VAs2j\nvd/f9/Zj5xMGk3Q8q6J+R8ydIGWpEDM9Xxgci9WTQ+y65CoVHE8K9qssFdx683VCSJeWCi6/b6mQ\nq1SItRELGlhFajZ40Do6W1KyFNI3DNKjAQEr+lEnHLrZ+B3Jv3cvKbenBOnvT+RPKVqqrnXoqhAL\n1OgjACJsCdyuOuXCkuv+UKUwzXm2QkuF7zCt9J2uSKbiClRZIzyu4hgUyhzXZhWpb0YsUGOT+Bp1\n1yIsex/pZ6BKqRBz/YHJ+z9tGIZhGIbRw6RZKqTMPUP/+tTAbKdgv2qg6FaUmE9/xPmePMCFiX7F\nYirE+viosq0nifBWEfaheqB4fLBfpdQI4z7k0nNtRNg7SH8m8I1U/pKFFccGtVRo6kccLqtZFajx\njZE80C+8PjzRlnh5okJ1xK/62eWz5t/DXMVL7Fl5IdUxJkJS176JOX8XSoUq94cPAa8J0nPclPx+\n5AqH2zO4sJZyX8ppP6StpcJVwO1eTAa/jQeJM4/qmAr/XtFPv47wfQndY4Tp97jR8oiBYtm9h3Xv\nS8pqJOX+0NNkRb11lgqxWAgpet43EU4QmXrmU0qFQVaYMQzDMAzDGDqTplR4Q7kNhedQQEsNAMNI\n2V+vWBHBtfECgrgH5RKT/sB71aCMnzfHnNvleSNwLHAWeZYEjiqLgO9WHKsivIbniPAKL333RP6Y\nr3dM2eEHLtu+nB3OUSq4c3WrWizqqVRYuTSzrqPN6g9OeeX3/RGJsnWWCncl2psX7OcQa+OpFKb+\nuXShVGjj/lC3pKSfb4NIeu71CpVKPZQKHX9VkT0ZXKnQxMqjLn94bbMsFTx+FcnTxFLBZ0minE8s\npsKL6L2H4vWhaSwKv19hoN6cMrF0v3xq1ZsYq9FrTVGnVOi7zyJ8svy5UGTKnQPgdTB1rG/1h0Rf\nDcMwDMMwJopJUyo4wn6FSgV/kF03sE/FFnCD6pjJ7HHAzfQLy7HBXcolIrbSxC2RtByc4DafepP9\nQXgL08qOnFn0zcttTOjx+3NJTT1+W07wW1WE7ehfmeBCeu9p6v73zUpG3GpyrmVKYdJmFvHLtFMq\nDDNQ26gtFVZPpKeUTjEXnBjO/aXvnopErRL+NZIWlqt7brtUKoTXVkX4XfnM5ijR1hNhfdq7P/Qg\nwmtr2osF0HxZJJ97vppeq9h70mVMhVdWtBeyLfBWbz98bkJLumsjdfgWOD9JtJOynDJLBcMwDMMw\nJppJVSrUWSo0GWTtQXywOb8csMeO7QY8ItKPmPtDzF8X4pYKbQRKmD7f3BgRbdmO6Rnf1AA3dzm/\n50TScgQLt7TkKsDaACJT67wD7ABTrhp+v6YTpEfo99tNmReH1Jnct4mpAPBs8oVkny5mKlPXvomw\n13YpR59FkAwGWBUfxf9d1edYvXXKgRTb1xxvOvveRKkAsAvFex21VBDpey62C9pImeHXKhWAExPp\njpglQVW+pt+nLpUKru3vtyibQ3huP67Jv35mH5wyySwVDMMwDMOYaCZVqfDEYL/K/SFHKNo2kjaP\nYpD52YpydUoFmB7whQP/mKVCW6WCb6mQoum93JXquAVhfTlB8nxipvk5VgUO34LE95VeTv0gO7To\ncMJfrlIhJ6Dm1CyiCA+I8I+aPkFxH3NjBPhkCxWBaXUO2YKxavT+NXV/WDOi9Onri8hUwMYdveMi\nwqoQP0cR9gUOSvRjEKExRZeWCqm8KUsFoT9mwrzMNmKrP0DasiGG7/6wWiKPkP4+Avytpv7wd903\nrk5JuF1F2SbuaHXU9fOBRHpKqWCWCoZhGIZhTDSTqlT4YbBfJbisI8LNNfXFBnHzKYIR9iDCjiSW\naYzsH8a02fWbg2MxpcL8SFoO784o0+ZepgIRxupraqkQo4lQtSrFcnIhVcEyHVPCuwi/ZFpYfXZm\n2/65x87t+RT3HgqhaQH9JtAxVqKlpYIIr8/MuySR3kVMhRhNBZ4HgKdQH8jzd5Hj84DPA/+cqPvM\ninYn4VsnImi5YkNIlYIrJ6YCTC+nWodvqeBbATUJpugrFVLKyWczbe0RO4e/V9Qfe08GjalQxbcy\n8uRS188woKUjDBhslgoDICLvFJFLRORiETlVRFYWkXVE5GwRuUJEfigii+prMgzDMAyjjkkYaOdQ\nNUh7BGlzUkdMoErFJ7iY6VUkQgH2rfQTrjgRwwmclUoFkaTQ+/REf3y69rsPBYWcyPt1+MtsqshU\nYM4YaxB3oUjW6eFbBOzh5XleTiepVyoAvKLcNhnwt1YqAJ+IpMfOPUdJcHfD/FXEro8fw2KH4NgK\nCp/y3VLlSmIKr3mkI/zXMYxvXdvgg+GymVAdD6Bq9YdUG0UmYbNIsFE/CO1KIlOriDQ5H6FQDpHo\nHxSr3rhlOGPPSZVlRJfuD+sl0odFW0uFkAXB1shERDaniJvxWFXdieL/4yHA0cDZqroNhRLu6HH1\n0TAMwzBmExOnVBCJDqAGNfuPCSI5QvhawX5s0JoSKv28LiK632as/SqfX+idHYwd65KnJ9Kjlgoi\nrCLCrjV1hn0Pl870+VRlRdITVyFkIcWSiw7n/hKaae9InBz3B0fomlNHqFTIMTlvorhI1efu2w2q\n0yuiJFwamhATKNcot7sCi4Nj7vzvph+/L7H34zk0M9GPtdslr26Yvyq+QCqI6KuJP4PvS7QRCxoY\nWnD47g8AN5TbppYKR5W/Y8FuHa6dn0eOVbXXRqmQ+gZWuT10zWnU9zNXqeDupVkqNOcuCveg1URk\nJYpv/43AgUwruk4BDh5P9wzDMAxjdjFxSgXiA66qfqb8eevIUSp8OiNPyofdH1g6wbNtTAXHyyAZ\nlX3Y9/LFFccWUCwH+tuaOlKD7ZQffBUfrzi2kOnr5M++5j4r84CLyt91A/pNM+v063YIebPDTQOT\nVtFEcPRJLV8Z69sWIrwO+E3kmBNAw/PWSFrIh+iPI5DLJHzr3PMf60vK3ejjxBU3b0y0EXPDeXyw\n/xji72JTpYLjFxX53Hc2VnfXSoVhrpKSy9bUW0bkKhWq4lEYFajq7RQrCf2FQplwp6qeDayvqm4V\npluot3I0DMMwDCODmTIDUjVYrJolC6mbCW3DWzLyOFeCQZUKR1UcG7bQtLg0Z39+5NgCqoM+OlLX\nfIsW/XFWEXXBA/3rkvuszAOup4i+Xzegr4pLEcMXjI7NLJMTr8Gx11RDwrbAVaosZ/o6tVUqnJNI\nT12fE2rqq4upkGImKxVcH3YU6VshoGq50ybfqpzlJx+TSG+rVKjC/Y+JnUNTpUJdmznfoFFwSM3x\nVEyFEHfNZsr/6YlBRLakWDZ2c2AZ8HUReYmfR1VVRJLfHBFZ4u0uVdWl3ffUMAzDMCYXEVlMv9Vx\nlJkyWFmz4lgTSwXfDaJvkFuuZ98VvlDgBrttAzXm0Ka+poPwlHCzgDyBpMtzrnp2U4JVbvv+kpEp\noTm1TGUdXV6DOiH8MuDlIvzMS2ujwAG4J5GeI8TGiD1Lw1QqdOr+kFgSsw5372Or0YSuVrFyOQzy\nTW+iVOjiuc9VKmyW2ebWjXo0PnKfYfeOmKVCcx4P/EJV/wYgIqdTrCp1s4hsoKo3i8iGwK2pClR1\nyUh6ahhGFr+TXX+0AtlV0LufzzdP/DNb/h64Eri2nDwxDKNjSoX6UrcvIu9J5Z2E2bscqszjmygV\n/PONCTVt17OvwwnvftT6tsJdigM7ri9GlVIhx4x/GH7tsejdbQVdhx+7om5A3/QdGrpSQYQ3ebub\nAVeRce1FeItI0vIiFak/R4j9WSRtplsqtKnPlYk9U6Hlgk/b96ZpuSaDsqbKi0GUCi5+yjC+H+Mg\n1/3BXYMqpboR5zJgDxFZVUQEeAZwKfBd4PAyz+HAt8fUP8MwGvIQ8x/3WH63zmO46JFf4LAjgbdR\nCDv3fFlefPudsugCRM7EVnUxjLEwU5QKVTQRIIfh/pBDzCKgbznLLiijvcdmQrsgdc0ewXTE/ytE\n2L9h+a5JPRO5QsnQlQoNZrrbCNH+KhdO+Mvp50dIr5BxbyI9R7h0sTb8GCVtvz2TEqixzbPszjnn\nmq3r/W7b98c1zD9MpcJxDdvzz7nKhWImIiKsL8Jfa/K55+Ubw+7QbENVLwK+AFwA/L5M/jTwQeCZ\nInIF8LRy3zCMCUeERX9j3dXL3V/vxS8er8ozVNkMWGc3zr9rEcseB+wLnDS+nhrG3GWmuD9U0USp\n0NZPuQ0x94dRcO0Q604Jgs9hepm8rUn73oxKiZV6JlIrWoT47g+p5yRXWP8TsGWkXO7zdy+Fwiam\neV8jkhbS1E0jZS2Qml3NMc1eEWwhft1yrF0mxVKhSZyLsA8vz8jrfzNGNUPfRKnQhUl+1f3275d7\nZ37VQZuTwLOBmzPyzQal/9hQ1Q8DHw6Sb6ewWjAMY2bxzJfyxZ/cyvp3AEeieqc7oMp9d8vNVwOP\nXAEXzIMjx9dNw5i7zIZBS5PB7SgtFXxBwAUIzA3QNalUXTPfJzwlLIxKOOrK/UGpf0fqzim8Fk5A\natLHpr6CGvk96LueEuZzFJPuGtS9fznuD20tFbr+1qVWw6hi9aqDFdYro3pvcpQ6ji6UCj33W4Tz\nvd06V7W5wFw9b8MwjJD9b2O9M1B9oa9QcDyMe557Fvvc/gQu+EDsuGEYw2c2WCpMqlLhkd5vN+s4\n06/3VyuO+T73KYFrPoBIMvp8V3SlVHgI2C8jbxWhoOyegU3CjBXlmwh7qfYHFUxTwnwTSwX/WrSN\nqdB0CU9H14J501U/YDo2QIrUszQqpUIThU3nSgXgCd7v2aDwHhRTKhiGMecRYR6FW8P7kplU79xP\nOAbYH4uVYhhjYTYM3JoIkEu83w/ruB9VxFZ/mInsU3EsFcjP57HldtjuIG1M032c+8Ny4HU1eZ9a\nczxlqXB5g/4MEtU4tFSoW+oxJdinBM4cRZnrv1/3k4M8W5D3Tj4tI0+Mrr91w7A6GrelQm4AQRj+\nigSz4X/ToNg1MAzDKOID3a7Kn2vyfQM4WCTv/9Nymf+ZW2W9iyy4o2F0w8CDFhHZR0QuE5ErReQd\niTzHl8cvEpGuZ6n3bVnu8PosndFFUMaq6PCTQI5SYbty29aEPZdBLUJ8S4U66paxSykVclEGs7xw\nAukLym1yCTWvvRgpxUZb94cPBHkWAi/KqKstbSwLqrh7gLLLEuknJtJXTaR3TROl56M7aK/KMsUE\najhk3B0wDMOYAPYD/l9dJlWupVjtqm6yB4Cb2WCv9bhtZyy4o2F0wkADNxGZTzHzuQ+wPXCoiGwX\n5NkP2EpVtwZeBfzPIG2W7Mj0rPdc4bxxd6CGHKWCY9hKhTcMWH4Npi0VBiVUKhzaoo51Bmg/nOVu\nde1VkwLgxiI8p6Z4TKkwapZ2XN81A5RNKWJelUj/6ABtNSH2/+C2SNrPgZd10F7f8yDCgjK2hCkV\nDMMwDCiUCmdm5j2N3uXbo4ggV7HVxgD3sPolWHBHwxiYQQduuwFXqeo1qvoghc/9QUGeA4FTAFT1\nV8AiEVl/wHbvYLCZwplIanZzUmgigA/bDSRLS13Bt+lOqfC3DurIYc9EelOlQlPB/2UUa79XMQlK\nha5NGz87QNlJja0Sc7P4eiStK9eP2PPwAMWAcFQuH4ZhGMaEIsJ6wLbAuZlFcl0gFj+P02/+MYuv\nfwK/Ps6COxrG4AyqVNgYuM7bv75Mq8uTG6QuxQriM2izmbvG3YEamggBw/bHHpT1yXd/qKNWYz4E\nfGEtvC8xRUmbJdb+o0HeYSgVJl3JVsWkKhVyg2cOexWbLRN9MQzDMOYW+wA/Us2L+aPKdRQxq+qW\nEH/b7Tz82Kfzk89cxnaPGrSThmEMPrjNFRJCwSZRbon3e3H5F2W5Kstk5s1lLaf9LP2whaiTaG/+\n9cOG+SddqeBwAvhdwJot67ij5vjNwAYVx8N3pSr/IfSv0BG+JX3/mFX5kfcuDdOaoMu6Z97bP82k\nBmzNFeT/0VF7qechZynXWc5SuvfYMQzDmHHsT77rg+PrFBM6348dFGFH4DHA8yjiKbx8kA4ahlEw\n6MDtBnqXeNuUwhKhKs8mZVqEJd7f4qp2myyx95UGeduSazUxyNKAw7ZU+MEAZVfQTGCcdKXCg/S6\nPwwrBsSFwH83LPNgxbErI2m1SoWAYSoV2jz/f02kfxf44wB9mS1c0GFdMUXNOCwVdmfO39vF9P4/\nNAzDmFuIsBLwLOCshkW/ARwkkgxy/RbgBFX+AfyBIk6bYRgDMqhS4QJgaxHZXEQWAi8EzgjynAEc\nBiAiewB3quotA7bbRDj53wHbyuG+zHyDCNNudvDqAeqoYpD4AU2FxUFWMxgFVUqFlzSsqy7CfaiE\na8OPKP4xxtwMwpUDhi0QVtFGYRFTonxclZcwmJJuttClEihmQRGrvyslW6rvbZcNNQzDMGYPewJX\nq3Jjk0KqXE+hmO5z7RRhI4rYb58qk/4MrC8y0mXmDWNWMpBSQVUfAl5PMct9KfA1Vf2jiBwpIkeW\nec4E/iwiV1GY2L92wD5DM2FiFIJH1exx15w+pHoHERSUZibdKaWCu1fDXh2ijgfojang9+eeinIx\na486pcKpwO8q8oTlY7PJR6hyd6KtNwX741AqaLBtQsyywn235pJSIWrGSbduILkxFboIYFrFpMac\nMAzDMEZH1lKSCVKrQBwFfEm1CKKtynIKBcQOLdsxDKNkYL9VVT1LVbdV1a1U9b/KtJNU9SQvz+vL\n47uo6m8GbZN6YcIXREYheGQFkOmIYbkODHKdVtDMz7pOqTBsoaWOr9FrqbC6d6zqOn0xklapVCiX\namwSLyMmRK4ItlWCZp1SYdJiKsQUdu78xv2cDIPU/blsBG3nKii6uu6p56FOQVll6XZ4y76MgjbX\nbZwrphiGYbRChIU/kqf/7h+yys8RORORNiswtYmn4PgmcKAIK3t9ehjwL8DHg7zmAmEYHTBTg2HV\nCcDL6Be0hskwlAqfCfaHPbgcZMbTXeM/ZOZfOZJ2OtPnOG5h8QZ6LRXW8o5V3YfYsTpLhbo8OTRZ\nXaErS4U2z8tGLcrMNUuF1LNfFdSwK2L/D2LXuMv384hIWp1SoWqZ1kkO4NkmwGVXQTENwzBGybGr\ncN+jV+H+PSmCIZ5UV8BHhM2ADYHz2zSuyg0UY9Jnesn/QrGSROhGfDGmVDCMgZmtSgU/cOAoBNQq\npcK/tqxz0peQ9FlBIQhcV5expC6mQio436iYR6+lgk/Vs9cn4JWWCFXt1NUZkmOpkGrzAeDXNfUP\nU3n14hZl5pqlwiiUBylG7f6g9MfgSfXD596KY+u1787QMaWCYRizHhFeABzweC78GcBlbHPn5Wzz\nmobV7At8v3RPaMuUC4QICyjG4x+J5DNLBcPogJmqVKj7yKxgciwVqmbVqphJZq8upkKuGX9MqSBM\nn3NM0Bglj6MIEBSL7VAV7yHnWbsFuKT8nWOpkBNTITdmwXNUa1cqGcZzN0id7t3aw0ubzZYKqXMa\nxfcgd5a/y5gnsfMdxNrgxAHK5vDjBnnD5WRzFASvDvZn4zNuGMYsRYRtgU8CL1iZB/75IeZ948mc\n8zND/WIAACAASURBVPtHc/l7Gla1P+3jKTi+CRwgwirACyiCPsYmVv4A7DRgW4Yx55mpSgV/oHVh\n4vikKBW6bn8SzXudpYIC52Xkr1MqDFOAqgq06Dig3MaUV3+vKJfT7zcBN5e/27g/5FgqpOjyWRzV\nc+gsFfyYAuO2VEgsidsJTZUKw179IUaVUuHN5fa0jHqUjr+PqpVWDG35pff76w3KNV3OFeDcmjqM\nTERkkYh8Q0T+KCKXisjuIrKOiJwtIleIyA+lnZ+3YRgRRFiNYjnHd6tyIap3rqTLX3Ab6x0EPF0k\nz3K3VAIsBn44SH9UuQm4iGJZyrcSt1KA4n/6yiITbelmGBPPbFAqxAalk6RUyBF8YgPVUVsqDBpT\nwSkVcq73uJaUfCrVptMhsfejqnzOPbuP6Wvk6q8KwhfWuVq59aMah24PTxHhWw37t6TiWFe8vUUZ\n9275fR+3pULK+ujmRHoTUuc0ihUR5tH/jDSNqdBkFZiulQpOGRjOiH1iwHrfN2B5R87/ghX09teU\nCu05DjhTVbcDdqb4zh4NnK2q21AsxXv0GPtnGLMGEYTCQuF3wKf9Y6rcSWF58FYRnpdR3VOAi90K\nDQNyGvBhiuW1o0EfSzfVi7EVIAxjIGaqUsEf+MYGaurl6WLQ+vma41VLSua0f1N+VwB4ScP8XfOF\nYF+JCyTPTpR/QSRNEr+raGqG7SubcnhsJM23VAiDzLnzr/qneT/9SoU3QXKNZAGWevtrlltfERFT\noB0cqavq3N0zPExlVpuVX5xSwe/7uJUKqXavHGLdoSJuGMuurkX/u9c0psKp5TZHudCpUkGV75Xb\n9wHXe+lHNazq9mDf76O7PhfldCnYr1o6dqqtFv01AkRkLeBJqvo5KJa/VtVlwIHAKWW2U4h/Jw3D\naM7LgScAr47FklLlWor37yQRdq+pa5ClJENOP4lXbnMtm4ki36tYhcLiKhjGgMxIpULwwaqzVOjC\nRPqamuPDcH9w5xgbiA5D8GsyIxYKNM5SwW0dqaXfdmvQVhVNV91YzuDXzhccw5lpV/fZFeUfIFAq\nqPKQatItYx7wzki6fw9yFWhV516lGGvL8xu0n8L1KybYTZpSwZ3f3QPUnbpGoVKhyYofVbwqM99W\n3u/kN1WVG8uffUoF1cp4IE3I+VYNMsMfWiPF7vdhLeo9L3ENYm2dUG7NUqEdWwC3icjJIvIbEfmM\niKwOrK+q7v/SLcD64+uiYcwORNgV+CDwfNW0i6gqv6GYjPm2CFsm6hIGW0oybPPmAznjks24bluq\nV6EwpYJhDMiMVCoE3BhJ81d/6ELwWEF8RsMNTgZ1f6jCKRXaDL6brG0/qPvDSkwHbHQ0Ofc27TdV\nKvgWLG040jOTc/X55Ljc9CkVaohZgEDvtc2NRVHVr6ZCas79yjGld/wpkR6zoHDXre75ugz4p5o8\nbRhHMMVwGdau2vpJTibVnvuT817nWipU1TXIKjCDfM/ctX1Hue1KoZXr/oAqb/DaW6dFW3OdlSgs\nzT6pqo+lsDDrcXVQ1cr/ByKyxPtbPMzOGsZMRYS1KOIoHKXKH+vyq/K989j9qp+x92XnyJPuWE9u\n/YEIXxLheBHeu5Qnn38ue226AjmmwqqgERtwq1uZ7NfAkYlsFqzRMCKIyGL//2FV3pmuVNiY+Drn\nVUqFNj5aqRluZ8Y/6kCNUQ1vhCUdtw3wNPrPyY+pMC9Iz2UUSoVVw4SMmUOfcOWElKl4nVLBCRdd\nKRUcg1gqLM/IMyhV/UstddnUUuFr3u/lVK8k0tY6I3WNmjzvqbzhM3VfuQ0tFVJ9eFqDPlTV40hZ\ngtWRUir0BOpSHem3s4oveb/D9zj27LV5T3JcVvrOWbVvFQmjnuuB61XVfVe+QaFkuFlENgAQkQ2B\nW1MVqOoS72/psDtsGDMNEVY6nYMvuoTtV1XkpblKgN05f/mT+PlKT+LcReexx2oUARn/BLAet224\nF79YKNVWBU15EUVshWehemcizx+AHUtLidb8QXb8wT2y+nmInNmVUsQwxomqLvX/H1blndFKBVVu\nTJiNVykV2gwG/fp8nCA26MA4xyz4eu93btC2QU3aN4ykxa6FH1OhrVLBJ/ej3lSpsDbN+vTtYN+Z\n9bnrGs4eu+ch1cbrgd96x3OVCrH6/Oe+S0uFYQQqcgJmTvshVTEVYoqV64L9qjbbKlDqlAq/zajj\nrnK7dU2+95bbhfQqDFJ98C0KcqwQ2iiiWisVVDmOaeVe3fUfxMqr5xuSoTyscidKxe1J8eeMNlKE\nbZn7QwtU9WbgOhHZpkx6BsVSvt8FDi/TDqf/G28YRgal8P0/m/GXNbfnjxvRTAngXMx+/SiuPkCV\nL6hynCrv2Y7Lfu+OkbYqaIbqnai+sEKhQBkU8h5g00Gauo9V91iDe3enW6WIYcwIZrRSoQLfrDEc\npLVVKsQG0m6QOKj7w311GVR7fPmHJXSHbd5Mv2IiNUMei6kwaZYK19Ds/v9fsH9/uT2QIpr4asFx\nf7b/s2FlqpxYzsx24f7gPzNdxFRwZf8to09NccElq/qXuhYx94cqSwX/mYiZNy/zfnet9HJt/SJD\niHUzGNeSjvZ/GdMrwyxU5SdMW164vt9FL/755gTGbPs9rCPp/qDKPzLbiX1rXkC/xVAXuG/5Bxnc\nUiH1LLeyVDBa8wbgyyJyEcX3+gMU9/eZInIFhZLug2Psn2HMZD4A7LIzFztroCZKgCrLgRyrgmEx\nUFwFEeb/jXVWL3e7U4oYxgxhUpUKHx2wfLik5PXBsaak3B+6slT4SsP+5Arg99dnaVxnzFLBj6ng\nP1O5M413Az/OzAvT1zu3/vuABapcQDMhKlSoPASgyg2qXEy/UsEJDSuAn1bU20Sp4JQ1If55xJZd\nrGq36bG2uP6sndFGyvrGt1Rw17fKUsG/ZxqJQu0/5+Gx3zMYYX2pGWufFUE+v/9vUJ06JsFx11Yq\nWKir2+dlkfbrnplOLRUath27vxeS997krLTg456t99KvTGiqVEhdnzZKBbNUaImqXqSqT1DVXVT1\neaq6TFVvV9VnqOo2qvosHb3QYhgTyd9l9c/fIWtfmGO2L8KbKFa52m8BD72QpkqAKsuBDKuCITJo\nXIWtDuFr83/As25jPEoRwxgrE6lUUOWtA1axAvgv91u1x5wpNRgMZ/x8fpYo5wa9TZaU/F5FPT5V\ng8ncgeYwIvrHFCwp9weX7/KaOrdU5eNe/rrzc+eVex2WqU4N6AdRKoSB41KWCil3mTDfIJYKLu3b\nnl96FzEVuuJk4FwKE/wflGlV/VuQSPeFaOd+4u77O+gP8HhFgz7GnuMmnJso75aIfXJF2eO8Mv5z\n/K5Ef1LxO96fSIf+e3o9zWmrVOjif8sjE23n1H0Q1Yq9EN/KqEqpgJcvhTsWWqCZUsEwjInkBjZa\nvDZ3PhbY9y4e9sVUPhFeSrEM9rNU+euYlQBdM+gKELsuY9Gv9+EHy2fJ9TCMRkykUqEDVjDty5Q7\nAxvO+DmersqvaW+p0DOwV+UA+gWfWB//l3igxapBZjjTGi6NVsWglgqxQI1uEF0nsDYV5sIZ6xgb\nJ9Jj1zpl0eErFVao9ilHwtU1XOT2UFBM9SHVf39Fk1RMBf+4Y2yWCiKIyHQgTFVersptqjxNla9m\n9M8pFULTeGcdokw/z24pzj/iWfmULgfuHp0FU+32dNX7/emK/lRR5/5wYrmtUlQ6gTO8Jn6ZmFKh\nxzQ/cIuqI/a8xe7JpTXHsywVMlxA2rpe1H6rVHmQ/mepCt/KKHSda2upEC4takoFwzAmDhHm/YXN\n1gO4ls1u3Jxr9hThaJHeuFEi7A8cC+yjyl/G0dchM7BSAfh/wBoiWJBGY84xyUqFQ2g/0x4bGLpZ\nq9RgMJVe5b/t0pq6P9QGj1TlStWpIG2pPtWl30SeKde3GtQJaaWCH1NhO6bvX1dKhUOC+qoG3LEA\nnqm2XlFu3xak+89fn4Coytn0xl3w72tVME3Xh9T7Fy6fWGWp0CSGRRuT7Vzm00yJ5XCKiFXK7ZOC\n4/6z4+5p1XdLAVTZT5VjKvL9kf6gjk2FXAW2irSds5LGg2XeUAGVcs8Ihdmm3zGIX7fYO1S3Pvio\n3B9SbYfn8R8t6gmJWTK1DdSYUipkLylpGIYxQp5yCF/7E3DaI/nLDnewzm7AnsDFIuwDIMJewOeB\ng1V7FM+ziUuAbUWyg6GH7EoRqPlyYNvOemUYM4SJVSqo8jV6g6o1Kk5/sK0jg/1Ymbo6Q6oGnWEe\nn30bth2SrQBQ5Q91lanyvIZtx8zG53tbVLnMy1c3QxfWl5phDK931fPb5j6HZR6oOOZwfdk4qLut\nUuEtwX7seqfqqJvV7NJSIWzrS9FcvcSUZ+5eO1eSm8I8HqH7Q06/UjQ1aY+1Iao97hcpd4pclye/\n7rC+LpQKVdemSX3jVioMY/Y+1/0h11LhfuAXiTaqMKWCYRij5vC/se7Jzo1BlT+pciDFEsCfOF2e\ne+057P2T69noakVCC81Zgyp/pxiD5C7bHrILRTyfy4FHd9Uvw5gpTKxSYUBiS0qGg/FPdtQOVAvN\nfQNJVa5h2qfarwcK86vQTzyXz4dNtaynqo6UkLsK/e4PjqYD5fck0psoFVLnXtWXMGbCtZnlXF9y\nLRX8MiHXErcECYkpFere5y5jKnwaONvbf2FGmVT7n2NagVgV5yBHqRDj5TV9Cc04lzasP1anv//3\nMCO934xLEvVVCbM/Ad6d0Qcf93z8Erg1OJa6/8NSKhwGHJ1RT6zt8DmvszKr46MUgcZc/eH/jlyl\nwule/jUp/I5jMS6Or+iLuT8YhjEyRFgDOBg4NTymypnAjrty0UN78/MFG3PTE5j9yyS2CtYowvoU\n4+DrKFxjzVLBmHPMJaVCqFz4flCmjQDu/KKbWiqgyr8m2v6Var9JdYA/0JwKBqPat2pGF0qFkNgz\n82qmzcBjPv6NBFbVPtcFF/MgVOLkxC3oq76izJeYNv3el14XilR9rg/OUsMxiPtD2GauSfvILBVU\nuYHmirnoeahOuZ8k85S0VSo4nkSvUHiT99vfxpQAPqn2w2vo7k3M8mZKqaDKD4hbM8QsFZzLxj2q\nfKCmn+69ce4Brj+xmB9tLRVSQXUrlQqqfFGVi6ryBLze60/Y94EE7zIw8NXl75iVW65Vi3O3WaHK\nA6o9qxBB+R1U5Y143+0AUyoYhjFKngf8vFxCvA9V7n8UV7tYRXNhmcS2cRV2AS4q/4dchlkqGHOQ\nSVQqPLZFmZ293/dTBEpJWSo43GDtY8AepH3wq3BllpPW3uYI1E1MliVIW69lvXXtVLWfqncneoWJ\nXKVC1cD5dUwHLqyzVPB9+hsrFUoh4Kby9/eDfqXqu6Hchks/hkqFb0X6UBfwr0qp4NJu89IGsVRo\nY3bdpdLKF3hTOGG/6jyTz5Jqz2oNynQgR1fmgWDfJxZnIBQMY248v6LXKuGAcpuybqpzf3hXJJ/P\nsrLcakxbf7h30leohOX9+193X6fcgiKKTEeO+0MTvlZuc1d/yKUq/kWupcLxAKpcGDkWs1QAuCPR\nH3N/MAxjlBwOnFKT50U0XTZy5nIx7ZQKuzK9lLEpFYw5SdtgJENDld9WHP4I8WXRfDP1R6tyjRe1\nNhw09gzaVAsfdpHaGaHYcReIq0pozhG8/D7lDMan+qLKg5Lu+bAsFXJnzptaKtRZZThSqyekBLIm\n+O/EzRSKo2soAvvFeB1wBP2WCuESiTGlU0o4WgZsSrWAoRRxHPy4I3+lWuhqZKmQ8U40JbwnvkKs\nTsEC0zPvXcRUUFXUe3d2obh+NxC/fqESYAumlQo7UQxEes6vXMZ0DxE+5SXXLUNbqVTw3vfoeapy\nn+u/d27HU7gUufNaARwKrJXRr9h7VBWY1tFEqXAn1EbK9gX8LpUKsXfiRRTBtqL/M0r86+I/G68E\nrkrkC5UKW2T0xywVDMMYCiJsRiEMn1GZsVAk5Lg4zgb+QHzltTp2ZXr57KuAR4mwkrecuWHMeibR\nUiGJKm9T7YlF4HCDtceX8Qqg3v0hHCynrsUt5TYWBNENwBfEjgftVuH3ZbWKY47cIHltLBU+kpEv\nrPd/vPZi1/FYCm14XdupYylT7SqlQuq6++nPL7e+kDQlDKmyTJWHUQichxChFOJOo1B2dRFTAeAZ\nwKOoXhJPVbmxDCzk+vIP4AlVZSqOxa7XhhX5q+rbPSe/ao+VRTgD/OWK8oN8t2IzzarK71W5kcJ6\n4fMVbUMRoPEa1SmlgvsOpAYPfsyEh4Jt2K9kmxn5Q9yyk7eX+1PWIKr8nyrfDPMCm1T0oQlNlAob\nZOTxv+O/oDqgZw5HUsTScMv7Tp2n6tRsU66lwtRxVf5XtScmR0qpkFqOzZQKhmGMipcCX/cCJhvF\n/4RH+ktkZzJlqVCOC28krjg2jFnLpCkVzgr2cwdUbrD2Gy+tLlBjSPRaeKsnVPVl5YpjTd0fVs/I\nH/K1RHp4rs+P5iq4BHhItW9ZxZCYpYILUKbE3R+uU+ULFXXmRFT38+Xs57g/OAuXbwFPLH/3KQNU\nWVG6RsQrVF5Y/hOpiqlwg1+k3KaeuVtUuRp4HLB9cPj0SBGf+yqOVSm4pp5TEZ4nwk7U/0NM3a+U\naXeOhYvL8/pInrZKBf8drHzWVDm0XHnG8aWq/AEps9ATYMr1IqVUCPsXttlGqZBy+apa5nYQ8/td\nyu2roSdmTCWqUxYoVUz1T5W3qrKRd6yx4K3Kpync5vasyhZJq1Qq1NThP4dHJPKb+4NhGEOntEQ8\njHrXhzmFKg9QBEvPdl8oFRBb0GvR2okLxIOy4H+XyVq/RuRMROos+gxjrEyUUkGV/VoWdQGwYgO9\nlKVCSO612BJ4bZBWNSuXM0j084SWCiGxmfsU4blemcyoXKHaY7KfClb380i9TkAKTZNz3R9i197N\nuPuWEfO8tFi5HPeHmEn5Q6qcV6YN4hLk1z21koQqkljaM3bezjIGVa5S5Y/0npdT+qTOL1zBItW/\nEP8Z/CbwCfpdOHLra2PuFyoVqnzc/etRZ1kDRIXWHCXB/RTXAYqglC5mR/j+rVFuo895+V16MMgT\nXiPXn19RDEbCPnYRnDAWt8K5z9TFngF4ZkXdd6nyewBVTipjknRJF0qPHkpLpLvK3Zg7SuxZvDiS\nlutWNPV8lFYusefFlAqGYYyC3Sm+7+fVZZyDNA3WuCNwWamQcHSiVLiBjZ+yFnc9niJ4+GxfecOY\n4UyUUmEAqnxew5gKbhsKGrFrcbv32wmgf6bfv34e6UF+U/eHOkuFJkoFn4+Wg/7tKAJZ1uE+jr+k\niPgL8KHSP8zv785MX2MhrmDxr8G9keN9QTJVucDblWDrCO/Z1H6gYEr1JXYdB1Eq+HWfRNqsO9W3\n1YNgglVtpOq4PZHul805tpz6a9FUqdAkIGlVcEr/Pi+jQllWEjPtdHW9k+nghyF+nIxzIWnF42Kr\n5Jyf++5cB7wmPF5+X1zg2SqlQg7fYHpFAogoFTwXDretekackinWl2Gb6VfFN2hK7Hvz9//f3nmH\nXVFdi/tddNGIYgFFVBRQQJpGKYp+okQ0scSGoNcec3M1Md7kpv0SRZObmMRrTLnJ1VhjjIo1FhSQ\niAUFRWnSBASlFxVBUGnr98fMgfnmm376d9b7PPOcc2b27L3O1L3XXgXY07e6wb2myljVBi5g0wgn\nUKkQsC1sXWN5RxuGUVlcAtwX0VeqZdIGa+wDDbIZzSNPpYIIspiD2gF8xJ7v0vgzbxhVTqV3WBJ1\nVFXZBrT1r3Y/wywVXsAxL8/hPxavqbJXiCz+h3CUpUJa94d8fPHBsaLI5X/31rsJQJW5BA/svZwN\nnO9+Hwwc637/0F9QtV6AuqbEWyrkZmGfd/cXb1yAALzHPcoyIWh7EHEDtR/jBGrLgte3epvqTquD\nJKjGnheIceNx74W4fYPwD2a2U3hLhTTuD1FKhajMBUHn9IuA7Qqgys2qDfNz47iRNPPJE6jccq18\nkgZ6zSk4tqnWC+DoJUhx5K9/Rkx7uDE3/l9AHf5z3QXHDDbXprdd7z3lvx78g/BicQGFtVRYH7TS\no2DJkfu/UdciwEsR5z/M/SHo94sBbcXdg4Zh1CCj5dQ5c6Tb0k3Senxas3gRWuH08e4vjnRVT1pL\nBW/mhxxzgcPylOOoc3j8oxn0nNqDWdNqIPOGUeVUulIhMar1/bg92tfAT9dP3huDIW7AmlWpkNb9\nIUknMifLV/wbVPkL8GDuZ8A+/u8NUOUJVV5wv2/1BKQM80fPrQ9TKuT+34E4KTwhekbdT5ylwtaQ\n7alRZa7qjuOXllk4/uTFJJ9BVaKYCp7f5bBU8N6ntwIvecqEZf0IipngJYv7Qy6IpFeeQgSIzCkV\nkih4wu7fpsCvM8gQmLZTlQXsjIOxnfBnRTPvOt8gvFCWClcHrBtFtFIhTdvX4wRCTULOaix3vMIy\nwCRV5Pll74uTOQRgrSqDfbOGYRlCDMOocb7EhkO7MbdDaz4bPIl+k0TYJ8XupwPTVEMDxtY677Dz\n2ZyEMKVCvu4PV3zEXnf2ZsbQlex3isgOV0vDqEgyd5JFpK2IjBORd0VkrIRoSkVksYjMEJGpIvJG\ndlEz4++ghw2s0hwL/4Agq/vDEwH1+QdyQYOPpr5tYabjYQOXrAOAuICKzQgO1JiLebGEnR3lO4Gb\nUrQJ4Yofv9IjCq8PfkFNtlXZoprI5y0fc8M494es7fqv09bUTzmYpr4sMRUaXMNuuldvjIgklgpB\nBFmAxB2/XKyBNMc56hmSWKkQYo7qTSO7PaPJquAEJgwLEhgpF/AMTmc0rO5CsMS/wv2vhbJUmOzG\nKUlCrgOXU0T7g6YC9PFlMfETaqngKjCDYq3kSBLA0jCMGkOEfT9zw299Totp5/DYq8BcEf5bJJEF\n2SUQGTy71lkEtBWJ7QMhQhMcl0W/+8NqoKkIe2cRQITWOGk871VlNU7WozOz1GUYpSKfmbcfAeNU\ntSswnp0m934UqFPVvqp6TB7tZaGZxxw8baDGNJYKUUqFqFmsnKWEtz6/pUJQvXHnza9UeB54OqbO\nNIQdw88Jlm17wPd5qtyQsr0wS4VxCetBtZ65XzWma4tTGEF4ur00MRUGEW8amY+lwmjftjD3B+/9\n0yCmQkCZIN5kp1VP0kwj/u2h7g8eoqyM/DEVkigFElsXJaSJKq+r1stEksN73AMHwqpsVuWZkLqL\nfS9FKRXuBK5LWE8aZUw9pUJgZdqgI+knKqaCl6DjtzlgnZECEWnqTmg87f5ONBliGBVO9wt54C1g\nVCs2n7hMO1yJ487bDpg/QU6Yskl2eT0oY4AI7YDjoF5KYcODm+1rNtAjQfFDgQ9DrKXziatwLvC6\nKkvd3w8AF2asyzBKQj5KhTPYmYrmPuCsiLL5zoxnwudfHteZzLV1SAJZ0rg/JOnEpnF/EBpmQQhr\nMzfDdqoqhbASiRuQrSc+psL2gHVxbfqzPfh/P03tdMBz5zTqujo1at8QChl1vpAxFaYCF7nfw9wf\nImMquDP743zb4/5vkBIy7nmZRKmQs1RIcrwLqVR4EWemIwyvJVcudsphhKcH9VMqpUKDa0iVZarc\nlrCepEqFy4B7I/ZJWk9UTAUvSd12jHRcizM4yJ2HpJMhhlHJ9FjLPjNQHZbzs1dlsSpXAv33Zu3+\nrfm8P3DqLLqPE6kXc+xC4J+qDQPWGvVIGlehN+HBevOJq3AljsI8xz+BgSLsm7E+wyg6+SgV2qlq\nLhDdKhwNaRAKvCAiU0TkG3m0ly9x5rO5Y5EbnJ7v257UUuGPvm1Rgwe/3zY0HJgEdV7vDFgXtE+p\n3B9yA6XlBLs/BFkqJB3EBg2scp9XAJercqcqLd11WxMEzQuqu5QUwv0hS/1R+xbSnSJo8PQAjklh\nGEExFXIxPR7wbfOft6QKKi9PxGwPisVSCEuFMPeHuIwK+SpYB7uZJWKLAr8DDlLl3RRNhMmXNHbK\ni1H1uEq0LgHKtChFSVDbia5zVe4l+PmclnyUCrWiKC0KInIAcBrO+zJ3fNNMhhhGpdIdR1nWAFUW\nHMHsaQBr2WvBSYxfBiwS4Z/TpfcLk+h303LaH542uGOt8SoDu82i2/VB1h4+gjI/5MgUV0GErkBX\n2GkZ6CqBnqHh2MQwKoZIpYJrJjgzYDnDW05V/SazXo5V1b44s6dXi8igiPZGepa6lP8ljpzffSL3\nB9f/P4w3gOGe397Otz9dY9RA7q/A/r62Y7M/+AJMQpliKngG71OAc4D/DJEjqaVCmC+53zIBt/0H\nVbknQR1hVKNSIcm+YWWi9i2kUqGBpYIqF6nyWcS+mVJKuqS2slDlt3FFAj7jrpeoe9fv/pCEQrs/\nRLFDAejGBkkbwCtMvi44ysY4YoMnugElvfyScKscgKuATv5qEsjiL1sKpUI9nPffVZ/CTzaKyMg8\n2q9lfoeTBtb7fEg6GWIYlUwPnMDQYYwARu3Nh0ev1PZn4QTJfmIrTY/sxxu77seqYyBR/Kea5TDe\n3aU7czvgvGOijlVQkMYcWYM1XgH8zRMkPYe5QBgVTeQAVlWHhG0TkVUi0l5VV4rIfjhBSYLqWOF+\nrhGRJ4BjgFdCyo6s30a08CmJC5AWZ9rvDZS2FXjI/dkcp7OYixcxB8cNYPeA+uqlg3H9tlaI0MFd\n9VdgZfhfSExSV4+0RM0iPg4gwkgaDvKClAr5WCpEkWaA6VfOVCpRgeCCCDsGabI/JCHwOnOv67Qk\nSSmZw38dzGXn/Zc0tWMcQXLEuR3FWiqoou5zrUVIew32iWmzUKQZQMdZVeysVPlIhPU4ytPwxpXt\n7nFJ/D996TKDtm8ANvhXJ63fQ5DFQNJ6cvfCBqKf7fX+t6pOEKEP0FT1l1+ISNL4MwYgIl8DVqvq\n1LAJClVVEQk9jz5lzgRVnVBQIQ0jO6GWCgCuS8SwnT/5BLgXmXo+ziD5TeCbRZaxqtmLD5cD1HyV\n2gAAIABJREFUvT9mj3l7si7qWEUpFVLHVBChOU4gzRMCNo8D7hWhc4CS3TCKgvsOrUtSNnZWPIKn\ncC78X7ufTwYI0hpoqqobRGRXnGBpN6Zoo5Ad6ZzGL8w6YzDwJUJymIfJ4ioYdihA3Bm+NiKBpv8n\nhdTd1N33qoBtPyPg2MZQaveHnQ1rvfMb5f6QZRCbxF3HP6C9D/hHQLmPfDPnFYsqa0VYAHSmeJYK\nWV5Q+czg+gl0f/ARFlPhG8C3CyiLt600lgpJ3B9ytIzZDvX/Z6msarKe0yj5Kikgaur/p8oqETpn\nbO9MYHdVxmRodyvZMqkYTpaTM0TkNKAVsLuI3A8kmgyBhpMchlEJuKkjmxMekDmKETiz7t/MxWIw\nghEYMZtuY+uYsH617ht4rNxzsRuwOKSahUBHEVqqJrZS/CowX5V5/g2qbBVhFM55TJI9zTDyxlWo\nT8j9jprkyCemws3AEBF5F2dAfrPb2P4iknMBaA+8IiLTgMnAM6o6NmN7eQ1gPL64/hnC3PaFqkxT\n5dMQn/ysHeMks7afhG1QZblq6swNxVIqBOa5TyBHoSwVHiI+pY5ftr+qkvWaq0SSHLfUlgohGQHi\nCLoOpibc1//CTGKpkFtXLx6Cm5Ugpwws1AA26FgVwv0hh1+pELdPydwfEpRNK0slKRXSsOMaVGVh\npgqcbBtJFArVeowqElX9iap2VNVOwAXAv1T139g5GQIhkyGGUeH0AGZnSiusus4b3NGIQHVdD2YP\nWsO+3UXoFVKqNzA97Fyoshl4HydDRFL8ARr9/B24UMTeGUblkdlSQVU/IsAPVlWX42jaUNX3cEyD\nCkGhbqAknfksRMnXFGdgHfbg+SRm/7QUS6mQ41HSPSQLYqngWhY8JcIfErZ1QMRguZCz7GnJ0val\nwH4J981iqZCFKGuCMDriWANt8q1PEichF8vjfxJJlx9BMRUmxeyTj6VC3D7lcn9Ies1EyZdUef1/\nwKsJy2bhFpz4L0kxK4HGQ+46vhkYJSJX4MwuWtAzo9roTnQ8BaNAqPKFCH8Evg9cHFAkyvUhRy6u\nQri7iovrCj0Qj+tKAG/gjCmOIt37zDCKTj7uD6VgI1DoCLVZlQqZfbU9/sLFIp9AjWk6zjm/8LeJ\nfuj55UhqqRDnVx61zl9/1tn3UpDFBHsigC81VNr6C5k2MqydyDY8OZf9pHF/yIesMRVUlZdj7uM0\ncSAqTamQoxjuD4mUCqp8CwoeS8db/3+lLL+F+LS9hcJmnYqEqr4EvOR+D5wMMYwqogcJBqhGwfg/\nYKEIHQMCuPdmZ+aiMNLEVbgUGKXKxrACblymXMBGUyoYFUU+7g+lYAA7fZUK1YkLdH9IQNZOn4Z8\nLwRxHd4kQSejZleTthdGoWIqpBlMZnGrqCaSXENhxyDL9TcdeDhFfVkH/v7MIlHuD/mQ9Lz7Yyok\nqWMEcGTCdv333VQaHrtSKhV2BJKMkCF2/wzbDMMwjOSYpUIJUeVjnNhc1wZsTmqpcFhcOyI0wcn6\nEJcyHpwsEMNFKn5i2KgxKlqp4GoFk+RWT8qleIJNpGQa0anR0sQ6KDbFDtSYVo58YyqkUUCU062h\nFJTa/eF+VS5IUT6rUiEuswKU9tzWu4eS+K+68U/CYkp4/9dQGgYP/RnRwRvj7r1ym+pHyTcfwmde\nIii0ZU0lY4oXwzCSEJdO0ig8twGXi9Amt0KEVjjBs+OsRpKmlazDyRL0VlxBVd4FluDEszOMiqGi\nlQouuc5W3qbsqtxHujzx3n0Xqu5I/ZiFxZA693sQ5QrU+AnxPuVheAcHLSHZIM1FKI6lQrWyHvhF\nTJmwY5DlvEfdL4W0VLibcIuINHVPJjqY5zBIpCRJ48qQBK910Bh/5hFVNJdJJmCfK4HvxtSfr8Il\nXzP/qGNyFjEpJUPIkiGmVJj7g2EYJcXNNtCCbJkfjIyo8j7wHPXTcPbAydLwefBeO5gHHJ4gsOKV\nwJ0p+sZ/x3GBMIyKoZpMZ/qWW4CM5GY6OxWrbhp2cOMeSqk7sKqZYlsEWSq0S1DeS1pLhWpQKmQe\nkKiyHWdWO0v9TTM0WRKlgiq3AIiwW8r2/PVsw4nwHrb98aQiJSyXlMyKCFXuSlC2WEqFfMvmAqxm\nSd/6MxwXuFrAlAqGYcTRHZiVKfODkS+/BZ4R4TY3q0MS1wdU+VCEzTjZ8AKVQZ9Im/tfptd5R/PG\nPsjm+xNm53gYGClCa9UGga8NoyxUjaWCKmsLWV8RKEenMNfmc7gZN1ziLBVKjXegOQ9Im86osbk/\nFFvGsPqzvHjSWvbkq9SpFPeHQiun8rJuSMCGDPUnaaucg91bVDmrjO1HUW53E8Mwao/uWJDGsqDK\nNGAOMNxdlUip4BIZV2E5+584iFebtWLzycDtCeVZ+SjnfLqU/d9EZDQihQ5qbxipqRqlghGOKltU\nGe1d5fv0U6pj2iD4myqTVdkzZR1+pUKi7A81TOAxiIooHMHmiG1B56GYA/9Sntuoe6jYCoIcqxOW\n6wb8PkP9lU7F3suqfAh0LWCV9p4zDCMOi6dQXn4LfN91ZeiDE8g6CaFxFUTouISO+7o/36S+i0Uk\nxzD50w6s6A6cSkJlhGEUk1pUKlwHDClwnVC61GNJqBSlQiF8ot9OWU/FDkRKSCGvuagZ2aDrKN/j\nn9bdoliU2/2hhSozkhRUZS4ZY8V4SPP88pftARyRZ/sNG65wE19V5heoqvE41maGYRhRmKVCeRmH\n0x89FehFcqVCVFrJn13BXX8CRgFfSej6AEA7Vn8AsIVmU0mhjDCMYlENMRUewAkSWBBUWU50Foes\nfB8n2FyOU4AxwJYCt1OuQI2picnznmR/ARDhv1PslmRQ+z3g40xCVQeFVKxE1RV0bvNSJLm+imHX\nzOM4s/KloGiBGhM1rqmfG6WMqVC/YbVObj6ocnK5ZTAMoyowS4UyooqKcAvwO2B9CrfsudDwOS9C\nZ+DspXTsiupHaeVpwZZhL1I385vcfs+72jWtW7FhFJyKt1RQ5Q5Vzii3HHGoskqVFz2/xwLtVVPH\nD0hD3OxiuS0VCkWagWqsybgqt6pyTx7y5EuxZ2ALqVSIOvYldX9QZZIqpxerfh9hx/D3wK0Z6iv2\nPZfIqqGK+GO5BTAMw6gURNgbJ3tWMSbFjOQ8fC8X7/82fXZJEcsgLKbCDcAfVEmtUABAdd1gXrx2\nPl0rNfaQUY2I3IHIhCyxOqrBUqFqUWVVuZr2ffqRmO2VRlKlwgEQm96nFiikdUyUgiJIKdlY3E/C\n4lLEpXYM4zFgZXZxolFlDPkpLsL2vRcaPMdK0al9rARtGEZBUJE7ttH08GZs+xQYkcaE2TAS0h2Y\nXeluYY0dVbYsk/FLOrC8GztjGQyL2W0x0N6bqUGE7sBXgKvzFGk0cJcI+7uW2IaRF9PpeVZvZu7j\n/kxyfe+g4i0VjAZ4O/9hL5fGplTwD/ACB0CqLHMDqFU6uePeuUj1RwVXTEtaS4XGolQoaAYVVW6o\ncDP3sHvqE1Ue8q1+CjKlmDWMRsl7dDqpGdsGYQHTjOJh8RQqhA4sX+x+TRRYUZWtwHtAF8/qm4Df\nqrI+H1lU+Rz4J3B+PvUYBoAILVawX1v3Z6rAoWBKhcZKtSgLkuIf2OYblK4iUGVhkaoupFIhbUyF\nxqJUaCz/IymJrRxUUdXCxbkJa6bI9RtGQRBhj4UcegBYwLRqYqEc+s8l0nFuFaXjs3gKlcMI0gdW\n3JEBQoQjgQHAnwskzz/YmerSMPJhwHAe+vQZvrqelIFDwZQK1YiEfPeiEBk9vVJjKpwBfC1gvV87\nfyKlC9hXjZTK/aHUKSVLSWP5H0mp1GeCYVQ637uU+0aNZ/DyXsz4s7k+VAcbad2/I0sPo4zWJSLI\nFPnySwmVG6ZUqBRU16E6LOW97o2r8HPglzlXiALwL+BgN/CjYeTDkHXsefvpPIOgqUMkmFKhNqlI\n9wdVJqjybMCm7wBf8pRb4qbRq1aKetxVCzrLnjYLQmOZ4a+oe6MGseNvVDwi7Av8xwr2/+nJjL9x\nLt0Gl1smIx4Rmqyk/R4Aa9hrAWWwLhHhEOCFbTQ9KqFyw9wfqpu5wOEiDMRREN1ZqIpd94pHgAsK\nVadRswwBngdeAwal3dmUCrVJVc1KqrJFlU/LLUcV82J8kVDSKhXySilZQdTaoLbSngm1dvyN6uTH\nwN9VeR94FhgqYgGwi8E06TN+szR/pUDuCkcN56FFc+k6uQezP0gz47xdmmSOjA4gQlMRrgPeAJ47\nmjdfAVjNPu8RotwQYS9gF2BZ2vaMimEejvvDL4CbVAvuxvsgMFyk4t7lRpUgwp44VuCvAS8BJ6St\nw5QKjZO42WJ76JSXUg+YinW+G7P7Q+4eaiz/Jw57JhiNBhHpKCIvisgsEXlHRL7jrm8rIuNE5F0R\nGSt5DE5FOBC4GPglOIGCcaK8DyzAXzA8iNBzHXsMbsHW4yiMu8LQj9jr2W7Mq1vDvr1F6JRQjuaT\nOeYinM52ajlE6AFMBM4E+qtySxN0+AIOfa0Hs1ZGKDcs80P1Mw/ojZOl7G9FqP91YFegZxHqLjnb\npOlf81HeGZkYDEx0FV6mVKgRVruf5+D4UTVAlS3A7hF1VKT7g1GRmPtDbWBKBaMxsQW4TlV7AP2B\nq0WkG/AjYJyqdgXGu7+z8jPgdl/q6KcJjgtk5MeNbflwIcBGWr9D/u4KQ4Hn3cj5fweuTLjfJdto\n9hnADI7Y9HUe/3WSnTZLi7vmS+dFYxjydmfmPwQMVmUBAKrrurCgbi37dHKVDkFYPIUqR5VP7uWS\nz5bSYasiTxV6oOy6vT6EE0SyqhHhsIkMvIyMyjsjM0OAce73t4DOIukyfZlSobroANwAoMrjrvIg\nEFU2RNRjA4jy0pgtFaKuu2qisShHklLsbA5paRQZXozyoKorVXWa+/1TYA7O+/MM4D632H3AWVnq\nF6GLu+9vfZuewZQKBcWNlN9vFkccN52e0zqxaI2gmZ9XIrTFmc19xV31V+AyEZrH7NcC+OkP+M1w\nhVFn88RPn+TrY0TCo+6LsJsI33uToy/qwsKDv8ILLebTdYA/7pHbl7uTcGWJxVNoBJzPwzM6sLwb\nxRsoPwhcUM0uECI0Ae7cg3XvA8yn84cPcsG1ZRarVtihVFBlMzAZOC5NBaZUqCJUWe6e6Hyp2geO\nkZgLPd/zuc+jFCBB9V6XR1uVxNZyC1BK3FmzNuWWw+UIYEq5hTAaByJyMNAXp4PUTlVzlgWrgHYZ\nq70RuE2Vj33r3wLainBoxnqNhtwE/Gq4PriyDzOOWcO+7XCUQ1k5GXjZtVJAlVnAe8BXY/a7HJjz\nmg4cK6rDFmjn3wFfAW4S4XYRdskVFKGNCP/PrfeYbsx5w90Ulff9TuBCEXYN2GaWCo2AXfgi594S\ndR3kwwxgE066ymrlKqBZSzYfvYVmjw3ilQkjePBZ193MKBJu4NjWwDue1S8Dx6epx5QKtYm5PzR+\nxsUXyZvcddQfx/8KVdaXoN1SUMi0nFVBpZw7VWaZ77BRCERkN+Ax4FpVrWdFpapKxDtQREZ6lrqd\n6+mN43v6e/8+7gz0s5i1QkEQoT/QC8eaIDej/13gVhFaZax2KE50cy934AxmwuRoCfwE11I0hypT\ngaNw3E0nidBfhJuAhTjpA09QZVhbPj4dGEVE3ndVPsAJkDYsYLNZKjQORhBzHeSD+978B1XqAiFC\nB5x0m1cepvM+aq5bzl1F+/NwLDAmi1BXVgEbN0OAF3x9r5eAE0Skzvs+jKrElAq1iVkqNH68D4Z8\nzndsTAVVJgMr82ijEskpFWxwaxhViIg0x1Eo3K+qT7qrV4lIe3f7fuyMUdQAVR3pWSZ4Nv0c+FVE\nRiJzgSgcNwG/8EbKV2UcMJMMVnGuWXiQUuFRoJ8IB4XseiUwXZU3/BtcZewI4H/v4rIJM+lx5Sfs\nPlOR76gyxy20DtVhCQaS/wf8u0/mtjgB+JbG7GtUOsmvg3x4CDiv2rLQuPfmn4H/da2HAEdRosot\nOEFxHxLhO9Xs3lHBeOMp5JgM9AB9y/s+jKrElAq1yfXlFqDGKcVAtVBKhSi89X4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "noise = 0.3\n", "onedplot(dt=dt, T=T, view=view, support=support, noise=noise, f=f, window=('hann', 256), ylim=140)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simple bandpass filter" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [], "source": [ "dt = 0.001\n", "T = 10.0\n", "\n", "time = np.linspace(0, T, T/dt)\n", "signal = np.cos(5*np.pi*time) + np.cos(7*np.pi*time)\n", "\n", "SIGNAL = rfft(signal)\n", "freq = fftfreq(signal.size, d=time[1]-time[0])\n", "\n", "# We need -ve frequencies this time...\n", "# keep = freq>=0 # only positive frequencies\n", "# SIGNAL = SIGNAL[keep]\n", "# freq = freq[keep]\n", "\n", "# If our original signal time was in seconds, this is now in Hz \n", "cut_SIGNAL = SIGNAL.copy()\n", "cut_SIGNAL[freq<6] = 0\n", "\n", "result = irfft(cut_SIGNAL)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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5DlYuaCasVYhSqv33WpwWPuX9vKhKtcEwJkxRtZ2ij3y0WDZSHR7ETQ+4OnSt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\nddvUWcqnuv2/j+a3k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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12,8))\n", "plt.subplot(221)\n", "plt.plot(time, signal)\n", "plt.subplot(222)\n", "plt.plot(freq, SIGNAL)\n", "plt.xlim(0,10)\n", "plt.subplot(223)\n", "plt.plot(freq, cut_SIGNAL)\n", "plt.xlim(0,10)\n", "plt.subplot(224)\n", "plt.plot(time, result)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Effect of sample interval" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Z+tWyRWpi6349aRkwJNcLzDBCQDa7wPtqDJmINBQFZNIanAA8lJg8tGYBGTAI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\ncIKZ9QT+LUrHXgn77xl37vxhms9Vrtcg+corz/xGYukoty/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QeF2hiciYDPaV6jM+QKjd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yW18WU74PR6SvEERv9Ilu9FpIBkuih0XDzTYjYZFuO0FpmIFIymlxXLvZJgEdU8X3TMBp5sSe3n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\nKiawrKwkF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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dt1 = 0.004\n", "dt2 = 0.001\n", "T = 0.256\n", "view = 0.256\n", "support = 0.256\n", "noise = 0.0\n", "f = 50\n", "f1 = 60\n", "\n", "def sig_gen(dt):\n", " lead = (T - support)/2.0\n", " t = np.linspace(0.0, T, T/dt)\n", " s1 = np.sin(2*np.pi*f*t) + np.sin(2*np.pi*f1*t)\n", " mask = np.where(np.logical_and(t>lead, t<(lead+support)), 1.0, 0.0)\n", " window = scipy.signal.hann(s1.size)\n", " signal = s1 * mask * window\n", " SIGNAL = np.abs(fft(signal))\n", " freq = fftfreq(signal.size, d=dt)\n", " keep = freq>=0 # only positive frequencies\n", " SIGNAL = SIGNAL[keep]\n", " freq = freq[keep]\n", " \n", " return t, signal, freq, SIGNAL\n", "\n", "t1, signal1, freq1, SIGNAL1 = sig_gen(dt1) \n", "t2, signal2, freq2, SIGNAL2 = sig_gen(dt2) \n", "\n", "# PLOTTING\n", "plt.figure(figsize=(15,7))\n", "\n", "ax1 = plt.subplot(221)\n", "ax1.plot(t1, signal1)\n", "ax1.plot(t1, signal1, '.', color='red')\n", "ax1.set_ylim(-3, 3)\n", "ax1.set_xlim(0, view)\n", "plt.title('{0} Hz + {1} Hz signal, {2:0.0f} ms, {3:0.0f} ms sample interval'.format(f1, f2, T*1000, dt1*1000))\n", "\n", "ax2 = plt.subplot(222)\n", "ax2.set_xlim(0, 4*f2)\n", "ax2.plot(freq1, SIGNAL1)\n", "ax2.plot(freq1, SIGNAL1, '.', color='red')\n", "plt.title('Spectrum, {0} Hz sample interval'.format(1/T))\n", "\n", "ax3 = plt.subplot(223)\n", "ax3.plot(t2, signal2)\n", "ax3.plot(t2, signal2, '.', color='red')\n", "ax3.set_ylim(-3, 3)\n", "ax3.set_xlim(0, view)\n", "plt.title('{0} Hz + {1} Hz signal, {2:0.0f} ms, {3:0.0f} ms sample interval'.format(f1, f2, T*1000, dt2*1000))\n", "\n", "ax4 = plt.subplot(224)\n", "ax4.set_xlim(0, 4*f2)\n", "ax4.plot(freq2, SIGNAL2)\n", "ax4.plot(freq2, SIGNAL2, '.', color='red')\n", "plt.title('Spectrum, {0} Hz sample interval'.format(1/T))\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Effect of precision" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def quantize(a, values=8):\n", " b = a.reshape(a.size)\n", " b = float(values) * b / np.amax(b)\n", " bins = np.linspace(0, values-1, values)\n", " c = np.digitize(b, bins)\n", " return c.reshape(a.shape)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([1, 1, 3, 2, 1, 3, 1])" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a = np.array([1.2, 4.3, 16.3, 8.6, 0.1, 12.1, 1.3])\n", "quantize(a, 3)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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uzcFt5AxgfMqN04wtExm1fCb7Pd2MXDedZoiZbY+ujwOBEySdlLbdaDyx46Kq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\nJUBEXBcRz6T7twDXkyVgBeuB/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W5RMzMzyx+3qFknOwK4BNil3YGYdTInamZmZvnjFjXr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\nqSawCt04/wJ8050/VlpOlsw4DGxi0c97d0/0ILqovELUjNkVmAzsmLfM4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dt = 0.002\n", "T = 0.256\n", "view = 0.256\n", "support = 0.128\n", "noise = 0.0\n", "f = 30\n", "f1 = 60\n", "\n", "def sig_quant(q):\n", " lead = (T - support)/2.0\n", " t = np.linspace(0.0, T, T/dt)\n", " s1 = np.sin(2*np.pi*f*t) + np.sin(2*np.pi*f1*t)\n", " mask = np.where(np.logical_and(t>lead, t<(lead+support)), 1.0, 0.0)\n", " window = scipy.signal.hann(s1.size)\n", " signal = s1 * mask * window\n", " \n", " signal -= np.amin(signal)\n", " signal = quantize(signal, q)\n", " \n", " SIGNAL = np.abs(fft(signal))\n", " freq = fftfreq(signal.size, d=dt)\n", " keep = freq>=0 # only positive frequencies\n", " SIGNAL = SIGNAL[keep]**2.\n", " freq = freq[keep]\n", " \n", " return t, signal, freq, SIGNAL\n", "\n", "t1, signal1, freq1, SIGNAL1 = sig_quant(256) # 8-bit \n", "t2, signal2, freq2, SIGNAL2 = sig_quant(4) # 2-bit \n", "t3, signal3, freq3, SIGNAL3 = sig_quant(2) # 1-bit \n", "\n", "# PLOTTING\n", "plt.figure(figsize=(15,10))\n", "\n", "ax1 = plt.subplot(321)\n", "ax1.plot(t1, signal1)\n", "ax1.plot(t1, signal1, '.', color='red')\n", "ax1.set_xlim(0, view)\n", "ax1.set_ylim(-50, 300)\n", "plt.title('{0} Hz + {1} Hz signal, {2} ms sample interval, 8-bit precision'.format(f, f1, dt*1000))\n", "\n", "ax2 = plt.subplot(322)\n", "ax2.set_xlim(0, 2*f2)\n", "ax2.plot(freq1, SIGNAL1)\n", "ax2.plot(freq1, SIGNAL1, '.', color='red')\n", "ax2.set_ylim(0, 4e6)\n", "plt.title('FFT')\n", "\n", "ax3 = plt.subplot(323)\n", "ax3.plot(t2, signal2)\n", "ax3.plot(t2, signal2, '.', color='red')\n", "ax3.set_xlim(0, view)\n", "ax3.set_ylim(0, 5)\n", "plt.title('{0} Hz + {1} Hz signal, {2} ms sample interval, 2-bit precision'.format(f, f1, dt2*1000))\n", "\n", "ax4 = plt.subplot(324)\n", "ax4.set_xlim(0, 2*f2)\n", "ax4.plot(freq2, SIGNAL2)\n", "ax4.plot(freq2, SIGNAL2, '.', color='red')\n", "ax4.set_ylim(0, 1e3)\n", "plt.title('FFT')\n", "\n", "ax5 = plt.subplot(325)\n", "ax5.plot(t3, signal3)\n", "ax5.plot(t3, signal3, '.', color='red')\n", "ax5.set_xlim(0, view)\n", "ax5.set_ylim(0, 3)\n", "plt.title('{0} Hz + {1} Hz signal, {2} ms sample interval, 1-bit precision'.format(f, f1, dt2*1000))\n", "\n", "ax6 = plt.subplot(326)\n", "ax6.set_xlim(0, 2*f2)\n", "ax6.plot(freq3, SIGNAL3)\n", "ax6.plot(freq3, SIGNAL3, '.', color='red')\n", "ax6.set_ylim(0, 3e2)\n", "plt.title('FFT')\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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03j6Qcx4IXF61OzVU3D5Qlhm/iaOO3wp8h7AKWSvUXCOQ+AfggpS7f9mMr+GB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\ngeskXU5I/UwF+s3MJD0raSb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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "d = np.loadtxt('Marmousi_model_250')\n", "rc = (d[1:] - d[:-1]) / (d[1:] + d[:-1] )\n", "plt.plot(d)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Sampling and aliasing" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From [a demo in Nature](http://www.nature.com/news/ipython-interactive-demo-7.21492?article=1.16261), November 2014. " ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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l/pCrMavmjdgkHsnIt+HxgvmcizhAHmPTJWdZwALGztpAIj//hlnhcCPwp4Hc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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Import IPython's interact function which is used below to\n", "# build the interactive widgets\n", "from IPython.html.widgets import interact\n", "\n", "def plot_sine(frequency=4.0, grid_points=12, plot_original=True):\n", " \"\"\"\n", " Plot discrete samples of a sine wave on the interval ``[0, 1]``.\n", " \"\"\"\n", " x = np.linspace(0, 1, grid_points + 2)\n", " y = np.sin(2 * frequency * np.pi * x)\n", "\n", " xf = np.linspace(0, 1, 1000)\n", " yf = np.sin(2 * frequency * np.pi * xf)\n", "\n", " fig, ax = plt.subplots(figsize=(8, 6))\n", " ax.set_xlabel('x')\n", " ax.set_ylabel('signal')\n", " ax.set_title('Aliasing in discretely sampled periodic signal')\n", "\n", " if plot_original:\n", " ax.plot(xf, yf, color='red', linestyle='solid', linewidth=2)\n", "\n", " ax.plot(x, y, marker='o', linewidth=2)\n", "\n", "# The interact function automatically builds a user interface for exploring the\n", "# plot_sine function.\n", "interact(plot_sine, frequency=(1.0, 22.0, 0.5), grid_points=(10, 16, 1), plot_original=True);" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.4.3" } }, "nbformat": 4, "nbformat_minor": 0 }