m-thesis-introduction/01_fourier.ipynb

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Fourier Transforms"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"\n",
"import numpy as np\n",
"import scipy.fft as ft\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.gridspec as gridspec\n",
"rng = np.random.default_rng()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The Fourier transform (FT) of a quantity $t$ is defined as\n",
"\n",
"$$\n",
"\\hat{f}(\\omega) = F(f(t)) = \\frac{1}{\\sqrt{2\\pi}} \\int_{-\\infty}^{\\infty} \\mathrm{d}t\\, f(t)\\, \\exp{ \\left(-i \\omega t \\right)}\n",
".\n",
"$$\n",
"\n",
"In signal processing, taking the integral from $t = -\\infty$ to $t = \\infty$ is not practical. Together with a finite sample space $t$, the integral can be turned into a (discrete) sum, giving a Discrete Fourier Transform (DFT)\n",
"\n",
"$$\n",
"F(t) = \\frac{1}{\\sqrt{2\\pi}} \\sum_{k=0}^{N-1} f(t_k)\\, \\exp{ \\left(-i \\omega t_k \\right)}\n",
"\\label{eq:DFT} \\tag{1}\n",
",\n",
"$$\n",
"where the sum iterates over each sample $t_k$ up to the end ($k=N-1$) of the signal."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Interdependence $\\Delta t$, $T$, $\\Delta f$, $f_{min}$, $f_{max}$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The highest frequency $f_\\mathrm{max}$ (also known as the Nyquist frequency) that can be (reliably) measured within a signal is dependent only on the sampling rate ($1/\\Delta t$) of the signal with\n",
"$$\n",
" f_\\mathrm{max} = \\frac{1}{2} f_\\mathrm{sampling} = \\frac{1}{2} \\frac{1}{\\Delta t}\n",
" .\n",
"$$\n",
"Higher frequencies will fall in between two adjacent samples, causing them to go unnoticed in the data. Note that because of folding, such frequencies can actually appear as aliases.\n",
"\n",
"Likewise, the lowest frequency depends on the length of the signal $T$, such that over the whole signal one oscillation can be found\n",
"$$\n",
" f_\\mathrm{min} \\sim \\frac{1}{T}\n",
" .\n",
"$$\n",
"Even lower frequencies will no longer be detected as a frequency. Instead, they will introduce a bias for the $0 Hz$ component in the spectrum."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# FTs of ideal signals"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"def ft_spectrum( signal, sample_rate, fft=None, freq=None, mask_bias=False):\n",
" \"\"\"Return a FT of $signal$, with corresponding frequencies\"\"\"\n",
" n_samples = len(signal)\n",
" real_signal = np.all(np.isreal(signal))\n",
" \n",
" if fft is None:\n",
" if real_signal:\n",
" fft = ft.rfft\n",
" freq = ft.rfftfreq\n",
" else:\n",
" fft = ft.fft\n",
" freq = ft.fftfreq\n",
"\n",
" if freq is None:\n",
" freq = ft.fftfreq\n",
" \n",
" spectrum = fft(signal) / sample_rate\n",
" freqs = freq(n_samples, 1/sample_rate)\n",
" \n",
" if not mask_bias:\n",
" return spectrum, freqs\n",
" else:\n",
" return spectrum[1:], freqs[1:]\n",
"\n",
" \n",
"def plot_spectrum( ax, spectrum, freqs, plot_complex=False, plot_power=False, plot_amplitude=None):\n",
" \"\"\" Plot a signal's spectrum on an Axis object\"\"\"\n",
" plot_amplitude = plot_amplitude or (not plot_power and not plot_complex)\n",
" alpha = 1\n",
" \n",
" ax.set_title(\"Spectrum\")\n",
" ax.set_xlabel(\"f (Hz)\")\n",
" ylabel = \"\"\n",
" if plot_amplitude:\n",
" ylabel = \"Amplitude\"\n",
" if plot_power:\n",
" if ylabel:\n",
" ylabel += \"|\"\n",
" ylabel += \"Power\"\n",
" ax.set_ylabel(ylabel)\n",
"\n",
" if plot_complex:\n",
" alpha = 0.5\n",
" ax.plot(freqs, np.real(spectrum), '.-', label='Real', alpha=alpha)\n",
" ax.plot(freqs, np.imag(spectrum), '.-', label='Imag', alpha=alpha)\n",
" ax.legend()\n",
"\n",
" if plot_power:\n",
" ax.plot(freqs, np.abs(spectrum)**2, '.-', label='Power', alpha=alpha)\n",
" \n",
" if plot_amplitude:\n",
" ax.plot(freqs, np.abs(spectrum), '.-', label='Abs', alpha=alpha)\n",
"\n",
" return ax\n",
"\n",
"\n",
"def plot_phase( ax, spectrum, freqs):\n",
" ax.set_ylabel(\"Phase\")\n",
" ax.set_xlabel(\"f (Hz)\")\n",
"\n",
" ax.plot(freqs, np.angle(spectrum), '.-')\n",
" ax.set_ylim(-1*np.pi, np.pi)\n",
" \n",
" return ax\n",
"\n",
"\n",
"def plot_combined_spectrum(spectrum, freqs, \n",
" spectrum_kwargs={}, fig=None, gs=None):\n",
" \"\"\"Plot both the frequencies and phase in one figure.\"\"\"\n",
" \n",
" # configure plotting layout\n",
" if fig is None:\n",
" fig = plt.figure(figsize=(8, 16))\n",
"\n",
" if gs is None:\n",
" gs = gridspec.GridSpec(2, 1, figure=fig, height_ratios=[2,1])\n",
"\n",
" ax1 = fig.add_subplot(gs[:-1, -1])\n",
" ax2 = fig.add_subplot(gs[-1, -1], sharex=ax1)\n",
"\n",
" axes = np.array([ax1, ax2])\n",
" \n",
" # plot the spectrum \n",
" plot_spectrum(ax1, spectrum, freqs, **spectrum_kwargs)\n",
" \n",
" # plot the phase\n",
" plot_phase(ax2, spectrum, freqs)\n",
" \n",
" return fig, axes\n",
" \n",
"\n",
"def plot_signal( ax, signal, sample_rate = 1):\n",
" ax.set_title(\"Signal\")\n",
" ax.set_xlabel(\"t (s)\")\n",
" ax.set_ylabel(\"A(t)\")\n",
"\n",
" ax.plot(np.arange(len(signal)) / sample_rate, signal)\n",
" \n",
" return ax\n",
"\n",
"\n",
"def plot_signal_and_spectrum( signal, sample_rate, title=None,\n",
" ft_kwargs = {}, spectrum_kwargs = {}):\n",
" \"\"\"Plot a signal and its spectrum in one go.\"\"\"\n",
" fig = plt.figure(figsize=(16, 4))\n",
" \n",
" if title:\n",
" fig.suptitle(title)\n",
"\n",
" # setup plot layout\n",
" gs0 = gridspec.GridSpec(1, 2, figure=fig)\n",
" gs00 = gs0[0].subgridspec(1, 1)\n",
" gs01 = gs0[1].subgridspec(2, 1)\n",
" \n",
" # plot the signal\n",
" ax1 = fig.add_subplot(gs00[0, 0])\n",
" plot_signal(ax1, signal)\n",
" \n",
" # plot spectrum\n",
" signal_fft, freqs = ft_spectrum(signal, sample_rate, **ft_kwargs)\n",
" _, (ax2, ax3) = plot_combined_spectrum(signal_fft, freqs, spectrum_kwargs = spectrum_kwargs, fig=fig, gs=gs01)\n",
"\n",
" # return the axes\n",
" axes = np.array([ax1, ax2, ax3])\n",
" \n",
" return (fig, axes)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"sample_rate = 1/1e-3 # s\n",
"n_samples = 2**10\n",
"t = np.arange(n_samples) / sample_rate"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### FTs: constant signal\n",
"\n",
"A constant signal (also termed offset or bias) results in only a single component in the Fourier transform, at the zero frequency.\n",
"\n",
"Since often such a component is included in a signal (for example when a signal is not on average zero), it can help to mask out the zero frequency when plotting the spectrum.\n",
"Doing this for a constant signal, we get a totally flat spectrum."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 1152x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"signal_constant = np.ones(n_samples)\n",
"\n",
"fig, axes = plot_signal_and_spectrum(signal_constant, sample_rate, \"Constant signal\")\n",
"axes.flat[1].set_xlim(0,10);\n",
"\n",
"fig, axes = plot_signal_and_spectrum(signal_constant, sample_rate, \"Constant signal (masked zero)\", ft_kwargs={'mask_bias':True})\n",
"axes.flat[1].set_xlim(0,10);\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### FTs: noise (normal distributed)\n",
"\n",
"A FT of normal distributed noise will not have easily identifiable peaks in the spectrum.\n",
"Instead, the spectrum is on average a bit flat, with only low power in any individual peak."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"signal_normal_noise = rng.normal(size=n_samples)\n",
"\n",
"plot_signal_and_spectrum(signal_normal_noise, sample_rate, \"Noise (normal distributed)\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### FTs: sine wave"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"f = 1e2 # Hz\n",
"if f > sample_rate/2:\n",
" print(\"Sampling a frequency above the sample_rate/2 gives problems\")\n",
"\n",
"signal_sine = np.sin( 2*np.pi*f*t )\n",
"if False:\n",
" # aliased peak\n",
" signal_sine += 1/2*np.sin( 2*np.pi* (1.1* sample_rate/2) *t)\n",
"\n",
"fig, axes = plot_signal_and_spectrum(signal_sine, sample_rate, \"Single frequency at $f = {:g}$MHz\".format(f/10**6))\n",
"axes.flat[1].axvline(sample_rate/2, color='r', label='Nyquist Frequency');\n",
"axes.flat[1].legend();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A sine wave will give very clear peaks at the frequency of the sine wave."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### FTs: step function"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"t_0 = t[n_samples//4]\n",
"signal_step = np.heaviside(t - t_0, 1)\n",
"fig, axes = plot_signal_and_spectrum(signal_step, sample_rate, \"Step function $t_0 = {:g}ns$\".format(t_0 * 10**9), ft_kwargs={'mask_bias':True});\n",
"axes.flat[1].set_xlim(0, 20);\n",
"\n",
"t_0 = t[n_samples//2]\n",
"signal_step = np.heaviside(t - t_0, 1)\n",
"fig, axes = plot_signal_and_spectrum(signal_step, sample_rate, \"Step function $t_0 = {:g}ns$\".format(t_0 * 10**9), ft_kwargs={'mask_bias':True});\n",
"axes.flat[1].set_xlim(0, 20);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### FTs: delta function\n",
"\n",
"All frequencies are accounted for, but the phase alternates"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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RlRFR2bu3J7M2M7PCk7NkV9LNkuZImtTEekm6StIUSa9J2jlXsZiZmRWBl4DhkjaT1J5kwqkHGpR5ADgpfX4s8K+IiHT5GEkdJG1G0hL7YjP7y6zrJJIZmJG0aToOGEm7kHxXmL9BR2ZmZpYHuWzZvYXGZ3+sdwjJxXg4STeoa3MYi5mZWUFLx+CeDTwGTAbuiog3JF0i6Yi02E1AT0lTgHNJZ1COiDeAu4A3gUeBsyJiDYCkvwHPA1tJminp1LSuS4EDJL0LHJC+hiSJniTpVeAqYEyaUJuZmRUV5fL6JWko8FDmff0y1l0HPBURf0tfvw3sUz9ZRlMqKyujLd/L7+HXZrP75j3p3rl9vkMxMysJkqojojLfcRSztn5tNjOzltVS1+Z8jtnNeuZISWdIqpJUNXfu3FYJrhDNXrSMs/46ke/ePjHfoZiZmZmZmRW0fCa7Wc8c6UkwEitX1wHwwcJleY7EzMzMzMyssOUz2V2fmSPNzMzMzMzMmpXPZPcB4MR0VubRwKLmxuuamZmZmZmZZaMiVxWnsz/uA/SSNBO4CGgHEBF/BMYChwJTgE+AU3IVi5mZmZmZmbUtOUt2I+KEZtYHcFau9m9mZmZmZmZtVz67MZuZmZmZmZnlhJNdMzMzMzMzKzlOds3MzMzMzKzkONk1MzMzMzOzkuNk18zMzMzMzEqOk10zMzMzMzMrOU52zczMzMzMrOQ42TUzMzMzM7OS42TXzMzMzMzMSo6TXTMzMzMzMys5TnbNzMzMzMys5DjZNTMza0GSOkn6maQb0tfDJR2W77jMzMzaGie7ZmZmLetPwApgt/T1TOAX+QvHzMysbXKya2Zm1rI2j4jfAKsAImIZoPyGZGZm1vY42TUzM2tZKyVtBASApM1JWnrNzMysFVXkOwAzM7MScxHwKDBI0u3AHsDJeY3IzMysDXKya2Zm1oIi4glJE4HRJN2XfxAR8/IclpmZWZvjZNfMzKwFSNq5waLZ6b+DJQ2OiImtHZOZmVlb5mTXzMysZVyW/tsRqAReJWnZ3R54AdgzT3GZmZm1SZ6gqohE5DsCMzNrSkTsGxH7AjXAzhFRGRGjgJ2AKfmNzszMrO1xsmtmZtayto6I1+tfRMQkYMc8xmNmZtYmuRtzEZHv0mhmVgwmS7oR+AvJ7Ye+AUzOb0hmZmZtj5NdMzOzlnUK8B3gB+nrp4Fr8xeOmZlZ2+Rk18zMrAVFxHLgivRhZmZmeeJk18zMrAVJep+k+/JnRMSwPIRjZmbWZjnZNTMza1mVGc87AscBPfIUi5mZWZvl2ZjNzMxaUETMz3h8EBG/A76U77jMzMzaGrfsmpmZtSBJO2e8LCNp6e2Sp3DMzMzaLCe7ZmZmLeuyjOergfeB4/MUi5mZWZvlZNfMzKxlnRoRUzMXSNosX8GYmZm1VTkdsyvpYElvS5oi6YJG1g+W9G9JL0t6TdKhuYzHzMysFdyd5bLPyeK62UHSnen6FyQNzVj343T525IOylh+s6Q5kiY1qKuHpCckvZv+2z1dLklXpXW91qBbtpmZWdHIWbIrqRy4GjgEGAGcIGlEg2IXAndFxE7AGOCaXMVjZmaWS5K2lnQM0FXS0RmPk0lmZW5u+2yum6cCtRGxBcl9fH+dbjuC5Do6EjgYuCatD+CWdFlDFwBPRsRw4Mn0Nen+h6ePM4Brszh8MzOzgpPLlt1dgCkRMTUiVgJ3AEc2KBPAJunzrsCsHMZT9OJzd200M7MCshVwGNANODzjsTNwehbbZ3PdPBK4NX1+N7CfJKXL74iIFRHxPjAlrY+IeBpY0Mj+Muu6FTgqY/mfIzEB6CapXxbxt4jqmlqu/vcUqmtqS76+Qo6trdVXyLG1tfoKOTbXVzh1ZSuXY3YHADMyXs8Edm1Q5mLgcUnfAzoD++cwHjMzs5yJiPuB+yXtFhHPr0cV2Vw3Py0TEaslLQJ6pssnNNh2QDP76xsRs9O6Zkvqs5Y4BgCzsz+U9VNdU8vx1z3PmrqgTLD1pl3o0rHdete3ZPkq3vpwCXVBwdVXyLG1tfoKOba2Vl8hx+b6Cuu9zVYuW3bVyLKGbZMnALdExEDgUOA2SZ+LSdIZkqokVc2dOzcHoRYHN+yamRUuSeenT7+Wjnn9zCObKhpZ1vCjv6ky2WybrazqysW1ecLU+dTVJbuqC1i8fPUG1bd4+WrS6gquvkKOra3VV8ixtbX6Cjk211dY7222ctmyOxMYlPF6IJ/vpnwq6TiiiHheUkegFzAns1BEXA9cD1BZWemcz8zMCtHk9N+q9dw+m+tmfZmZkipIhgAtyHLbhj6S1C9t1e3Hf669WdWVi2vz6GE96dCujFWr62hXUcaVY3Zi1JDu611fdU0tX79xQkHWV8ixtbX6Cjm2tlZfIcfm+lr3vb3r2+sb9WcpcjQQNL0IvwPsB3wAvAR8LSLeyCjzCHBnRNwiaRuSCTIGxFqCqqysjKqq9f0eUdzen7eUfX/7FIN7dOLp8/fNdzhmZiVBUnVEVBZAHNlcN88CtouIb0saAxwdEcdLGgn8lWScbn+S6+nwiFiTbjcUeCgits2o6/+A+RFxaTrzc4+IOF/Sl4GzSXpc7QpcFRG7rC32lrw2V9fUMmHqfEYP67lBX9KKob5Cjq2t1VfIsbW1+go5NtfXeu9tS12bc5bsAqS3EvodUA7cHBG/lHQJUBURD6SzR94AbEzSRer8iHh8bXW25WR36tyP+dJl45zsmpm1oBa7oEoPspauwxFxRBZ1NHfd7AjcBuxE0qI7pv6evpJ+CnwLWA2cExGPpMv/BuxD0nPqI+CiiLhJUk/gLmAwMB04LiIWpBNe/YGk59UnwCkRsdYLb1u+NpuZWctrqWtzLrsxExFjgbENlv084/mbwB65jMHMzKyV/HZDK8jiurkcOK6JbX8J/LKR5Sc0UX4+SStyw+UBnLVOgZuZmRWgnCa71rI8WNnMrHBFxLj655LaA1uTfHS/nd5KyMzMzFqRk10zM7MWlI55/SPwHsnMxptJOrO+W7GZmZm1Die7RSSHw6vNzKzlXAbsGxFTACRtDjwMONk1MzNrRbm8z66ZmVlbNKc+0U1NpcEt9czMzCz33LJbVNy0a2ZWBN6QNJZkpuMgmVDqJUlHA0TEPfkMzszMrK1wsmtmZtayOpLc4mfv9PVcoAdwOEny62TXzMysFTjZLSIes2tmVvgi4pR8x2BmZmZOds3MzFqUpM2A7wFDybjORsQR+YrJzMysLXKyW0TcsGtmVhTuA24CHgTq8hyLmZlZm+Vk18zMrGUtj4ir8h2EmZlZW+dkt4h4zK6ZWVG4UtJFwOPAivqFETExfyGZmZm1PU52zczMWtZ2wDeBL/GfbsyRvjYzM7NW4mTXzMysZX0FGBYRK/MdiJmZWVtWlu8ALHvhKarMzIrBq0C3fAdhZmbW1rll18zMrGX1Bd6S9BL/GbMbEXFkHmMyMzNrc5zsFhFPUGVmVhQuynguYE/ghDzFYmZm1ma5G7OZmVkLiohxwCLgy8AtwH7AH/MZk5mZWVvklt0i4pZdM7PCJWlLYAxJK+584E5AEbFvXgMzMzNro5zsmpmZtYy3gPHA4RExBUDSD/MbkpmZWdvlbsxFxLMxm5kVtGOAD4F/S7pB0n4kY3bNzMwsD5zsmpmZtYCIuDcivgpsDTwF/BDoK+laSQfmNTgzM7M2yMluEfGYXTOzwhcRSyPi9og4DBgIvAJckOewzMzM2hwnu2ZmZjkSEQsi4rqI+FK+YzEzM2trnOyamZmZmZlZyXGya2ZmZmZmZiXHyW4R8ZhdMzMzMzOz7DjZNTMzMzMzs5LjZNfMzMzMzMxKjpPdIhK4H7OZmZmZmVk2nOyamZmZmZlZyXGyW0Q8QZWZmZmZmVl2cprsSjpY0tuSpki6oIkyx0t6U9Ibkv6ay3jMzMzMzMysbajIVcWSyoGrgQOAmcBLkh6IiDczygwHfgzsERG1kvrkKp5S4IZdMzMzMzOz7OSyZXcXYEpETI2IlcAdwJENypwOXB0RtQARMSeH8ZiZmZmZmVkbkctkdwAwI+P1zHRZpi2BLSU9K2mCpIMbq0jSGZKqJFXNnTs3R+EWvvCgXTMzMzMzs6zkMtlVI8saZmsVwHBgH+AE4EZJ3T63UcT1EVEZEZW9e/du8UDNzMzMzMystOQy2Z0JDMp4PRCY1UiZ+yNiVUS8D7xNkvxaI9yua2ZW2pqb2FFSB0l3putfkDQ0Y92P0+VvSzqouTolfUnSREmTJN0qqSJdvo+kRZJeSR8/z+1Rm5mZ5UYuk92XgOGSNpPUHhgDPNCgzH3AvgCSepF0a56aw5jMzMwKUsbEjocAI4ATJI1oUOxUoDYitgCuAH6dbjuC5Do7EjgYuEZSeVN1SioDbgXGRMS2QA1wUsZ+xkfEjunjkhwdspmZWU7lLNmNiNXA2cBjwGTgroh4Q9Ilko5Iiz0GzJf0JvBv4L8iYn6uYip2HrJrZlbSspnY8UiSJBXgbmA/SUqX3xERK9KeUlPS+pqqsyewIiLeSet6Ajgmh8dmZmbW6nJ26yGAiBgLjG2w7OcZzwM4N32YmZm1ZY1N7LhrU2UiYrWkRSSJ6wBgQoNt6yeFbKzOeUA7SZURUQUcy2eHHu0m6VWS4Uc/iog3NuTAzMzM8iGX3Zitxblp18yshGUzsWNTZdZpefpj8xjgCkkvAkuA1en6icCQiNgB+D3JkKPPB+s7JZiZWYFzsmtmZlYYsp3YcRBAOqFUV2DBWrZtss6IeD4i9oqIXYCngXfT5Ysj4uP0+ViSFuBeDYP1nRLMzKzQOdk1MzMrDNlM7PgA/5lI6ljgX2kr7QPAmHS25s1I7mzw4trqlNQn/bcD8N/AH9PXm6bjgJG0C8l3Bc+nYWZmRSenY3atZXmCKjOz0pWOwa2f2LEcuLl+YkegKiIeAG4CbpM0haRFd0y67RuS7gLeJOmOfFZErAForM50l/8l6TCSZPbaiPhXuvxY4DuSVgPLSGZs9hXIzMyKjort+lVZWRlVVVX5DiMvqqYt4Ng/Ps/gHp14+vx98x2OmVlJkFQdEZX5jqOYSVoCvJ3vOFpIL5IJvEpBqRxLqRwH+FgKUakcB5TWsWwVEV02tBK37BaR4vpZwszM2pC3S+UHA0lVPpbCUirHAT6WQlQqxwGldywtUY/H7JqZmZmZmVnJcbJbRIqsx7mZmZmZmVneNNuNWVJH4DBgL6A/yWQVk4CHfZN5MzMzA67PdwAtyMdSeErlOMDHUohK5TjAx/I5a012JV0MHA48BbwAzAE6AlsCl6aJ8HkR8VpLBGNrV2yTiZmZWdsQESXzBcvHUnhK5TjAx1KISuU4wMfSmOZadl+KiIubWHd5eo++wS0RiJmZmZmZmVlLWeuY3Yh4GEDScQ3XSTouIuZERNu8D1AeuF3XzMzMzMwsO9lOUPXjLJeZmZlZiZJ0sKS3JU2RdEEj6ztIujNd/4Kkoa0fZfMkDZL0b0mTJb0h6QeNlNlH0iJJr6SPn+cj1uZImibp9TTGzzVAKHFV+p68JmnnfMTZHElbZfxfvyJpsaRzGpQp2PdE0s2S5kialLGsh6QnJL2b/tu9iW1PSsu8K+mk1ou6cU0cy/9Jeis9h+6V1K2Jbdd6PramJo7jYkkfZJxDhzax7Vo/61pbE8dyZ8ZxTJP0ShPbFsx7ksbT6Odvrv5e1prsSjpE0u+BAekHZf3jFmD1ehyfbQAP2TUzs3yRVA5cDRwCjABOkDSiQbFTgdqI2AK4Avh160aZtdUkc45sA4wGzmrkWADGR8SO6eOS1g1xneybxtjY/TUPAYanjzOAa1s1sixFxNv1/9fAKOAT4N5Gihbqe3ILcHCDZRcAT0bEcODJ9PVnSOoBXATsCuwCXNTUl/xWdAufP5YngG0jYnvgHdbe6LW287E13cLnjwPgioxzaGzDlVl+1rW2W2hwLBHx1Yy/mX8A96xl+0J5T6Dpz9+c/L0017I7C6gGlqf/1j8eAA5ah4MyMzOz4rYLMCUipkbESuAO4MgGZY4Ebk2f3w3sJ0mtGGNWImJ2RExMny8BJgMD8htVzhwJ/DkSE4BukvrlO6hm7Ae8FxE1+Q4kWxHxNLCgweLMv38xXxMAACAASURBVIdbgaMa2fQg4ImIWBARtSRJZWMJWqtp7Fgi4vGIqG/omgAMbPXA1lET70k2svmsa1VrO5b0M/Z44G+tGtR6Wsvnb07+Xpobs/tqRNwCbBERt2Y87kl3YK0oPGrXzMzyZwAwI+P1TD6fIH5aJv1ivAjo2SrRrae0q/VOJHedaGg3Sa9KekTSyFYNLHsBPC6pWtIZjazP5n0rNGNo+ot7Mbwn9fpGxGxIvuADfRopU4zvz7eAR5pY19z5WAjOTrtj39xEq2CxvSd7AR9FxLtNrC/Y96TB529O/l6a68b8oKTDm1g3TNIlkr61tjrMzMysJDTWQtvwV9hsyhQMSRuTdP87JyIWN1g9ERgSETsAvwfua+34srRHROxM0uXyLElfbLC+2N6T9sARwN8bWV0s78m6KLb356ck3VBvb6JIc+djvl0LbA7sCMwGLmukTFG9J8AJrL1VtyDfk2Y+f5vcrJFla31vmuvGfDrJrwVvSXpJ0th0QPFU4DqgOiJuzjI421CF/GdmZmalbiYwKOP1QJLhTo2WkVQBdGX9uhHmnKR2JF+0bo+Iz411i4jFEfFx+nws0E5Sr1YOs1kRMSv9dw7JGNddGhTJ5n0rJIcAEyPio4YriuU9yfBRfZfx9N85jZQpmvcnnQzoMODrEY3PJJPF+ZhXEfFRRKyJiDrgBhqPr5jekwrgaODOpsoU4nvSxOdvTv5emuvG/GFEnB8RmwPHAf8LnAOcDLwbEfc3fzhmZmZWAl4ChkvaLG19G0Myh0emB4D62TGPBf7V1JfifErHuN0ETI6Iy5sos2n9eGNJu5B8Z5rfelE2T1JnSV3qnwMHApMaFHsAOFGJ0cCi+q6CBarJVqpieE8ayPx7OAlo7HvzY8CBkrqnXWoPTJcVFEkHA/8NHBERnzRRJpvzMa8ajFf/Co3Hl81nXaHYH3grImY2trIQ35O1fP7m5O+lYh1i60ZyUhwPvE+SjZuZmVkbEBGrJZ1N8sWiHLg5It6QdAlQFREPkHyBuU3SFJIW3TH5i3it9gC+CbyecbuOnwCDASLijyTJ+nckrQaWAWMKMHHvC9yb5n8VwF8j4lFJ34ZPj2MscCgwhWSG41PyFGuzJHUCDgDOzFiWeSwF+55I+huwD9BL0kySGWMvBe6SdCownaThCEmVwLcj4rSIWCDpf0kSLIBLIiKvvSGaOJYfAx2AJ9LzbUJEfFtSf+DGiDiUJs7HPBwC0ORx7CNpR5L+ktNIz7XM42jqsy4Ph/Cpxo4lIm6ikfHthfyepJr6/M3J34vW9hkhaUuS/8QTSH45uxP4UUQMWd+j21CVlZVRVZX3W0TlxbNT5vH1G19gcI9OPH3+vvkOx8ysJEiqLpDbMZiZmVkLaq5l9y1gPHB4REwBkPTDnEdlZmZmZmZmtgGam6DqGOBD4N+SbpC0H43PgmWtoDA66piZmZmZmRW+5iaoujcivgpsDTwF/BDoK+laSQe2QnxmZmZmZmZm6yyrCaoiYinJ/bRul9SDZMDwBcDjOYzNGgjfe8jMzApQr169YujQofkOo6jMWbKCjxYv//R1p/blbNarM2VyBzrLrY8WL2fOkhWfvu7eqT0Du2+Ux4isLWj4mbdRu+Qzr7ys8c+86urqeRHRe0P3uy6zMQOQznh1XfowMzOzNm7o0KG01ckj11d1TS3HXvscAZSXiTV1QYeuHbn4iJEcNHLTfIdnJeyG8VP55cOTPx2XGMCeO/bnwsNG0GvjDvkMzUpYdU0tx/7xOSKSz7y6uqB84w5cdPgIDtu+H2rwQ5+kmpbYb3Njdq2AeMyumZlZadhq0y4A7LZ5T+46czfu+e7udN2oHWfeVs1pt1bxwcJleY7QStXiZasoE/xg/+H89fRd+f5+w3n49dnsd9k47nhxOnV1/sJpLW+7AV0pLxOVQ7pz15m78eD39qR/t458728vc9KfXmL6/EZv37zBnOyamZmZtbJXpi8kgO/svTmjhnRn58HdefB7e/KTQ7fm2SnzOODycdw4fiqr19TlO1QrMVXTahnZvyvn7L8lu23ei3MP2JJHfvBFttq0Cxfc8zrHX/c873y0JN9hWomZNGsRq9cEp+21GaOGdGfbAV2597t7cPHhI5hYU8sBV4zjmqemsKqFP/Oc7BYR/85mZmZWGqpqFiDBjoO7fbqsXXkZZ3xxcx7/4RcZPawnv3h4Mkf84VlenbEwj5FaKVm1po5XZixk1JDun1m+RZ+NufOM0fzfsdvz3tyPOfTK8fzm0bdYvmpNniK1UlM9rRaAnTPOvfIycfIem/HPc/fmS1v34TePvs2XrxpP1bQFLbZfJ7tmZmZmray6ppat+nZhk47tPrduUI9O3HRSJdd+fWfmfbyCo655lovun8SS5avyEKmVkrdmL2HZqjWfS3YBJHFc5SCePG8fjtppANc89R4HXvE0496Zm4dIrdRU19QyuEcn+nTp+Ll1m3btyLXfGMWNJ1aydMUajv3j8y2235wmu5IOlvS2pCmSLlhLuWMlhaTKXMZT7MKDds3MzIremrrg5ekLqRz6+YSjniQO2a4f/zxvb04cPYQ/T6hh/8vHMfb12f4+YOutqiZpMVvbudejc3t+e9wO/PX0XakoEyfd/CLf+9vLzFmyvMltzNYmIqiqqaWykR9ZMu0/oi+P//CLnPHFYS2275wlu5LKgauBQ4ARwAmSRjRSrgvwfeCFXMViZmZmVije/nAJH69Y3WjrWkObdGzH/xy5Lfd+dw96du7Ad2+fyKm3VjFjQW4mc7HSVlVTS/+uHenXtflbDe2+eS8eOWcvfrj/ljw26UP2u2wcf5lQ4wmsbJ1NX/AJ8z5e8ZkuzE3p3KGCnxy6TYvtO5ctu7sAUyJiakSsBO4Ajmyk3P8CvwH8c1Ez/NFiZmZW/KqnJ2PXKof0yHqbHQd144Gz9+DCL2/DhKnzOfCKp7lu3HstPpmLlbaJNbWMGpr9edehopwf7D+cR8/Zi+0GdOXC+yZx7B+f460PF+cwSis11TXpZ95aehTkSi6T3QHAjIzXM9Nln5K0EzAoIh7KYRxmZmZmBaN62gL6dOnAwO7Nt65lqigv47S9hvHEuXuzxxa9+NUjb3H4759hYpo8m63NBwuXMXvR8ma7kjZmWO+Nuf20Xbn8+B2YNv8TvnzVM/zqkcl8snJ1DiK1UlNVU0uXDhVs2adLq++7Iod1q5FlnzZOSioDrgBObrYi6QzgDIDBgwe3UHhmZmZmra+qppZRQ7ojNfZVqXkDum3EjSdV8tgbH3LR/W9wzLXP8fVdB3PgiE15/YNFjB7WM6su0ta21M9wu77nhiSO3nkg+27Vh0sfeYvrxk3l4ddm879HbssmG7VjwtT5PvesUdXTatlpSHfKytbvM29D5DLZnQkMyng9EJiV8boLsC3wVPphvynwgKQjIqIqs6KIuB64HqCysrLt9uZtu0duZmZWEj5avJyZtcs4efehG1zXQSM3ZY8tenHZ429zy7PT+MuE6Qjo0K6M208b7aTDPmNiTS2d2pez9aYb1rrWvXN7fn3s9hy98wB+et8kTrnlJepzmPYVPvfssxYtW8U7c5bw5e375WX/uezG/BIwXNJmktoDY4AH6ldGxKKI6BURQyNiKDAB+Fyia2ZmZlYq6seutVQysHGHCi46fCTfHD0ESH4XX76qjsfe+LBF6rfSUVVTy46DulFR3jJf/3cd1pOx39+LvbboRV1AXcCKVXU8/968FqnfSsPL02uJaLnPvHWVs2Q3IlYDZwOPAZOBuyLiDUmXSDoiV/stZeGmXTMzs6JWNa2WDhVljOzftUXrPXKnAXRsV/bpGLJbnn2fa56a4gmsDICPV6xm8uzF6zVed23aV5RxzgFb0qEiSSkCuO+VWbwxa1GL7seKV3VNLeVlYsdB3fKy/1x2YyYixgJjGyz7eRNl98llLGZmZmb5Vj29lh0GdaN9Rcu2N4wa0p3bTxvNhKnzGd5nY/4xcSa/efRt7n95Fv/v6G0ZtQ4zP1vpeXXGQuqCdZqJOVujhnTnr6ePZsLUeaxaE/xlQg1H/OFZvrXHUM7Zf0s6d8hpumEFrrqmlm36dcnbeeCzr4j4HvJmZpZrkgYBfyaZS6MOuD4irsxvVKVh2co1vPHBIk7/4rCc1D9qSPdPuwoeOHJTnnjzIy66fxLHXPs8J+wymAsO3pqundrlZN9W2Kqm1SLBToNz07qWee6dsvtmXProW9ww/n3Gvv4h/3PESPYf0Tcn+7XCtnpNHa/MWMhxowbmLYZcjtk1MzOz4rMaOC8itgFGA2dJGpHnmErCqzMXsrouWrwraVMOGNGXJ87dm9P23Iy7qmaw3+VPcf8rHxD+9bzNqapZwFZ9u7BJx9z/2NG1Uzt+dfR23P3t3ejcoZzT/lzFt2+r5sNFy3O+byssk2cv4ZOVa3LSoyBbTnaLiK9NZmaWaxExOyImps+XkMy7MSC/UZWG+smpdh7cehO1dO5QwYWHjeCBs/dgQPdO/OCOVzjx5hepmb+01WKw/FpTF7wyfWGrTxBUObQHD31vL84/eCueemcO+18+jj89+z5r6vyFtq2orklud9VaP/A1xsmumZmZNUrSUGAn4IVG1p0hqUpS1dy5c1s7tKJUXVPL5r07071z+1bf98j+XbnnO7tzyZEjeXn6Qg684mn+8K93WbnaE1iVunc+WsKSFavzMhtu+4oyvrvPFjx+zt7sPKQ7//Pgm3zlmmeZ9IEnsGoLqmpq6de1I/27bZS3GJzsFhH/DmZmZq1F0sbAP4BzImJxw/URcX1EVEZEZe/evVs/wCJTVxdMnF5LZR4niiovEyfuNpQnz9ub/bfpy28ff4dDrxrPi+8vyFtMlnv1PQryee4N7tmJW0/5Ar8/YSdmL1rOEX94hksefJOPV6zOW0yWe9U1tXm/57KTXTMzM/sMSe1IEt3bI+KefMdTCqbO+5iFn6xi1ND8fvED6LtJR67++s7cfHIly1au4fjrnue/736NhZ+szHdolgPVNbX07tKBQT3y17oGIInDd+jPP8/dm6/tOpg/Pfc+B1w+zveELlGzFi5j9qLlee3CDE52i4onlDAzs1yTJOAmYHJEXJ7veEpF1bSkdS3frRyZvrR1X54494ucufcw7p44k/0uG8c9E2f6+0aJqapZwKjB3Un+tPOv60bt+MVR2/GP7+xO143aceZt1Zz+5ypmLVyW79CsBVXV1H/m5fe2Z052zczMLNMewDeBL0l6JX0cmu+gil11TS09OrdnWK/O+Q7lMzq1r+DHh2zDQ9/bk8E9O3HuXa/y9RtfYOrcj/MdmrWAOYuXM2PBMioLoEdBQzsP7s6D39uTHx+yNc+8O4/9Lx/HjeOnsnqNx5GXguppC+jUvpxt+nXJaxy+z24R8e+sZmaWaxHxDFAYTUAlpLqmlp0LqHWtoW36bcI/vr07f31xOr9+9C0OvnI8X9lxAAO6d2SPLXoXVIu0Za+6pvB6FGRqV17GmXtvzqHb9ePn90/iFw9P5vYXathzi94ctdOAgo3bmlc9vZYdB3Wjojy/batu2TUzMzPLofkfr2DqvKUF/8W9rEx8Y/QQnjxvb74wtAd3Vs3g8ife5YTrJ3yaNFlxqaqppUNFGSP7d813KGs1qEcnbj75C/zowC15f94n3DahhuOve57x73qm92K0dMVqJs9eUhCfeU52zczMzHJo4vSFAAXZlbQxfbp0ZPfNe1LfCL1yTR0X3T+JBUs9gVWxqa6pZYeB3WhfUfhf+SUhibL0vFtTF3znL9U88vpsjyMvMq/MWMiaunCya+vGf+dmZmbFp6pmAe3KxXYDCrt1LdPoYT3pUFFGuaCiTEyevZj9LnuKv1fNcOJRJJavWsMbsxYVxAzg2Ro9rCft0/OufUUZvTbuwHdun8hpt1Yxs/aTfIdnWaquqUWCnQbn/9zzmF0zMzOzHKqeVsu2A7rSsV15vkPJ2qgh3bn9tNFMmDqf0cN6snGHCn567+v8192vcXf1TH75le3Yos/G+Q7T1uLVGQtZtSYYVQAJR7Yannc7DOzKLc9N4/In3uGAy5/mhwcM55Q9NqNdnseB2tpV1dSyZZ8udN2oXb5DcctucfEvqWZmZsVkxeo1vPbBorzfa3J9jBrSnbP23YJRQ7qz1aZduOvM3fjV0dsxefZiDr1yPJc/8Q7LV63Jd5jWhOrphT05VVMyz7uK8jJO22sYT5y7N3ts0ZP/N/YtjvjDs7w83WPIC9WauuDlmtqC6VHgZNfMzMwsRyZ9sJiVq+vyfq/JllBWJk7YZTBPnrcPh263KVc9+S6HXDme56bMy3do1ojqabVs3rsz3Tu3z3coG2xAt4244cRK/viNUdQuXcnR1z7Hz+6bxOLlq/IdmjXw7pwlLFmxumB+4HOyW0Q8RMbMzKy4VNcsAIqvdW1tenfpwO/G7MRtp+5CXQRfu/EFzr3zFeZ/vCLfoVmqri6onl5bUuedJA7edlP+ed7enLz7UG5/oYb9LhvHQ6/N8jjyAlI1rbB6FDjZNTMzM8uR6ppahvTsRO8uHfIdSovba3hvHjvni3zvS1vw4Guz+NJl47jzpenU1TnxyLep85ay8JNVVJZAj4KGNu5QwUWHj+T+s/ak7yYdOPuvL3PKLS8xY4EnsCoE1TW19Nq4A4N7dMp3KICT3aLiS4eZmVnxiAiqa2qLaoKgddWxXTnnHbgVj/xgL7bq24X//sfrjLl+Au9+tCTfobVp9T0Kdi6Q1rVc2G5gV+777h78/LARvPT+Ag64YhzXPvUeq9bU5Tu0Nq26ppZRQ7qh+nuX5ZmTXTMzM7McqJn/CfM+XlkwE7Xk0hZ9unDHGaP5zTHb886cJRx61Xh++9jbnsAqT6qm1dK9Uzs2790536HkVEV5Gd/aczP+ed7e7L1lb3796FscdtUzVNd4Aqt8mLNkOdMXfFJQPQqc7BYRD0cwMzMrHvVfuAvpi18ulZWJ478wiCfP3ZvDd+jPH/49hYN+9zTj352b79DanPrxuoXSupZr/bpuxHXfrOSGEytZsnwVx1z7HD+593UWfeIJrFpTdf143QL6gc/32TUzMzPLgaqaWrp0rGB4G7sfbc+NO3D58Tty7M4D+el9k/jmTS9y5I79OWKH/rz14RJGD+tZMJPXlKIFS1cyde5Sjh01MN+htLoDRvRl9817csUT73Dzs+/z+Bsf8o3RQ2hXLkYP6+XzLseqa2ppX1HGyP6b5DuUTznZLSLhUbtmZmZFY2JNLTsP7k5ZWdtoXWto9y168cgP9uLap97j6n9P4f5XZiGgQ7sybj9ttBOPHJnYxnoUNNS5QwUXHjaCo3YawDl3vMzv/vkuAB0qpvDX033e5VJVTS07DOxKh4ryfIfyKXdjNjMzK2KShkjaP32+kaQu+Y7JYNGyVbwzZ0nB3GsyXzq2K+eHB2zJSbsPBZLJNpevquOhV2flNa5SVlVTS7tysf3ArvkOJa+2HdCVo3YaQP1PTStW1/G7f77DytWewCoXlq9awxuzFhXcPcWd7BYRj9k1M7NMkk4H7gauSxcNBO7LX0RWb+L0WiIK516T+Xbodv3o2K7s08Tjz89P49ePvsWylZ7AqqVV1yxgZP+udGxXOK1r+bLb5r3o0K6MckGZYPy78/jyVeN5adqCfIdWcl6buYhVa6LgPvPcjdnMzKx4nQXsArwAEBHvSuqT35AMkq6k5WVix8Hd8h1KQRg1pDu3nzaaCVPnM6L/Jox9bTbXPvUeD702i/89clv22cqnbUtYubqOV2cu4sTRQ/IdSkHIPO9GD+vJomUr+dl9b3DcH59nzBcGccEhW9OtU/t8h1kSqtLbXTnZNTMzs5ayIiJW1s+4KqkC35a9IFRNq2VEv03o1N5fteqNGtL90y/C+27Vh2NGDeSn977OyX96icO278fPDxtBn0065jnK4jZp1iJWrq6jsoBmw823zPMOYPS5Pbnyn+9y4zPv88SbH3HhYdtw1I4D2szM1blSPa2WYb0706NzYf144G7MRcTfXszMrIFxkn4CbCTpAODvwIN5jqnNW7WmjldmLCy4Fo5CM3pYT8b+YC/OPWBLHn/zI/a7bBy3Taihrs7feNZX/a1fdva516RO7Sv48aHb8ODZezKoRyd+eOerfOOmF3h/3tJ8h1a0IiK53dXgwjvvnOyamZkVrwuAucDrwJnAWODCvEZkvDV7CctWrXGym4UOFeV8f7/hPHbOF9l+UFd+dt8kjr72Od6ctTjfoRWl6ppaBvfoRJ8ubiFvzoj+m3DPd3bnF0dty2szF3HQ757mqiffZcVqjyNfV+/NXcrCT1YVZI8CJ7tFJDxDlZmZZYiIuoi4ISKOA84AXghfLPKufuxaIX7xK1Sb9erMX07dlSu+ugMzFnzC4X94hl+NncwnK1fnO7SiERFU1dS2+RnA10VZmfjG6CE8ee7eHDiiL5c/8Q6HXDmeCVPn5zu0olL96XjdwpqJGZzsmpmZFS1JT0naRFIP4BXgT5Iuz3dcbV1VTS39u3akX9eN8h1KUZHEV3YayJPn7c1xowZy3dNTOeDyp/nXWx/lO7SiMH3BJ8z7eIW7MK+HPpt05A9f25lbTvkCq9bUMeb6CfzX319lwdKV+Q6tKFTX1NKtUzuG9eqc71A+x8mumZlZ8eoaEYuBo4E/RcQoYP88x9TmTaypZdTQwmvhKBbdOrXn0mO25+/f3o1O7cv51i1VfPf2aj5avDzfoRW06ppkvK57FKy/fbbqw+Pn7M1399mce1/+gP0ue4q7q2e6d2UzqmqS8bplZYU3yVdOk11JB0t6W9IUSRc0sv5cSW9Kek3Sk5I8T7qZmVn2KiT1A44HHmqpSpu7flvTPli4jNmLlrsraQv4wtAePPz9vfivg7biyclz2O+ycdzy7Pus8QRWjaqqqaVLhwq27NMl36EUtY3al3P+wVvz8Pf3YljvjfnR31/lhBsm8N7cj/MdWkFasHQlU+cuZVSB/siSs2RXUjlwNXAIMAI4QdKIBsVeBiojYnvgbuA3uYqnFPhHJTMza+AS4DFgSkS8JGkY8O6GVJjl9duaUDWtMO81WazaV5Rx1r5b8PgPv8hOg7tx8YNv8pVrnmXSB4uorqnl6n9P+bRFs62rnlbLTkMKs3WtGG21aRf+fuZu/Oro7Xhz1mIO+d14rnjiHZ5/b57PuwwT0/+HQpyJGXJ7n91dSC6+UwEk3QEcCbxZXyAi/p1RfgLwjRzGY2ZmVlIi4u8ktxuqfz0VOGYDq232+m1Nm1hTS6f25Wy9qVvXWtKQnp3587d24YFXZ/G/D03m8N8/Q1mZiAjaV5Rx+2mj2/QPDIuWreKdOUv48vb98h1KSSkrEyfsMpj9t+nLLx5+kyuffJerngQJn3epqppa2pWLHQZ1y3cojcplN+YBwIyM1zPTZU05FXiksRWSzpBUJalq7ty5LRhicQnfadfMzDJI6ijpLEnXSLq5/rGB1WZ1/fa1uXFVNbXsNLgbFeWeFqWlSeLIHQfw5Ll7s/3ArqypC+oCVq6ua/Oz5748vZYI3H0+R3p36cCVY3biuMqBBFAXsHxVnSdPI5mJeWT/rnRsV57vUBqVy0/ixvpQNJqtSfoGUAn8X2PrI+L6iKiMiMrevXu3YIhmZmZF7TZgU+AgYBwwEFiygXVmdf32tfnzPl6xmsmzFxdsd75S0bVTO35++EjaVyRfY+sCxr09h1kLl+U5svyprqmlvKxwW9dKxZgvDKZjRdmnH5K3PjeNu16a0WYnsFq5uo5XZy4q6NbtXCa7M4FBGa8HArMaFpK0P/BT4IiIWJHDeIpeG/07MjOzpm0RET8DlkbErcCXge02sM6srt/2ea/OWEhd4JmYW8GoId352+mjOe/ALfnGrkN47YNFHHD5OG565n1Wr6nLd3itrrqmlm36daFzh1yOULRRQ7pz++mj+dFBW3HlV3dkRL+unP+P1/jq/2/vzuOjqO8/jr8+OUg4QriRG7msgJxRQeWwoqJFUIvWo16tt7aK/n5WrbX28GdbFe/71uJVq4IWVLAaEEXdcEg4jZBwySXhkDvJ9/fHTnCJSUhINrOz+34+HvvI7sx3J5+Z+e7Mfvb7ne88OYu89TX9nTF4ctdsYU9RSUz3KIjmJ+JLoLuZHQqsBs4BzossYGb9gSeAkc659VGMRUREJB7t9f5uNrPewFqgcw2XecDzt5QvlF+IGfTvqNa1ujCwU9N9LUpXDOvCbW/n8pd3F/LWnFXcdUYfjmif6XOEdaOouIS5Kzdz1sD2foeSECLr3Wl92/JGzirunLyIUx6YwRVDu3LtT7vFbJfe2rZvcKoYTnaj1rLrnCsCriU8SuQi4HXn3AIz+7OZjfaK3Q00Av5lZnPNbFK04okHatkVEZEynjSzpsAfgEmEB5Gq0Z0NKjp/1zTQRBAq2MRhrTNonJ7qdygJp0OzBjx/yZE8fF5/1m3dzZhHPuGOSQvYtmvvgd8ccIu+3caOPcXqUeCDpCTj7CM78OGNwzitT1se/iiPk++fzoyvE2Mcg1B+IR2a1adV43S/Q6lQVPs6OOcmA5PLTLs94rlufC8iInKQnHNPe0+zgS61uNwfnb+lcsUljrkrNjO6X1u/Q0lYZsaoPm0Z2qMld7+3hBc+y+e93LXcMboXJ/dqjVl83pInpyB8u6tY7koa71o0SmP8L/oxdmB7fv92Lhc88wVj+rXltp/1pGVGmt/hRYVzjlBBIUO6t/A7lEppqMAAitNjtYiIVJOZpZnZeWZ2q5ndXvrwO65EtHTdNrbtLorp7nyJonF6Kn85vTdvXnUMTRqkcuU/c7jsxRCr43QAq1BBIW0y02nbpL7foSS8Y7q1YMp1Q7juhO5Mmb+WE+79mFe+WEFJSfx1z1y5aScbv9/NgBg/5inZDZDSj4m6M4uIiGci4XvgFgHbNrV2hAAAHQRJREFUIx5Sx3K8a9eyOqkraazo37Ep7/zmOG499SfMzPuOE8dn89T0ZXE3gNXsgkL9yBJD0lOTGXdiDyZfN4TD2zTmljfnc/YTn7FkbXwNYBUKSI8CJbsiIiLB1d459wvn3D+cc/eWPvwOKhHlFBTSMiONDs3UuhZLUpOTuHxoV6beMJRBXZpz5+RFjH54JnNXbvY7tFqxZvNO1mzZFfMJRyLq1qoRr14+iHvO6ss3G77nZw/O4B/vLWbnnmK/Q6sVoYJCMtJS6NE6w+9QKqVkN0AS9R5eIiJSoU/NrKa3GpJaECrYxMCOTeP2utCga9+0Ac9clMVj5w/gu+27OePRmdw+MZetAR/AKrRvNFz1KIhFZsbYge358MbhnN6/HY9+/A0n3Z/Nx0uCfxOa2QWF9OvYhOSk2D7mKdkVEREJGDObb2ZfAccBs81siZl9FTFd6tD6rbtYuWknWZ3VuhbLzIxTjmjDtBuGcdHgzrw0q4AR92Yzef63gW1QmF1QSIN6yRzeJrZb1xJds4b1uOesvrxy2SBSk5O4+Lkvufbl2azfusvv0A7Klp17WbJuWyAu29CdpwMkmIdhERGJglF+BxAt0xauY8m6rQzq0iIw1yHmBOBek/KDjPRU7hjdizP6t+PWt+Zz9YTZDOjYhKzOzTi51yGB2o+hgk3069CElGS1XwXB4K7NmXLdEJ7IXsbDH+WRvXQD5x7VkcbpKQzuGpxj3pwVhThHIH7gU7IrIiISPOuAK4FuwHzgGe/+uIE2a9lGLnsxhAPSUvJ4+bJBgfjyFyooJC0liV5tM/0ORaqhb4cmTLzmWP76n4U8/2kBs1ds5tlPlvPyZUdz1KHN/Q7vgLbvLmLRt9u4enhXv0ORakhLSea3J3RnVJ82XPfqHJ6cvsybHpxj3uyCQpIs/BmKdfoZKEjUtCsiImEvAFmEE91TgLgYlCqUX7jv+e6iEu55fzG79sb+YC45BYX0bd+Eein6WhU0KclJtMxIp/Syw6ISxzUTZu9rrY9l81ZuprjEBSI5kh/r0rIRI3sfQukVr7uLSvj7e4vYsSf2f7cMFRRyeJvGNEqL/XZTHZVFRESCp6dz7pfOuSeAscAQvwOqDYO7tiAtNYlkg2QzPlu2iZH3T+eTrzf6HVqFdu0tZsGaLQwMQHc+Kd+gLs2plxKud6nJRomDsY9/yu/fms+WnbE7gFWooBCz8C2WJJgGddn/mPfF8kJOHD+djxbH7gBWRcUlzF25OTAjgMd+Oi77ODXtiohI2L5v4M65ongZAXhgp6ZMuHQQs5Z9x6Auzdm5p5jb3p7PL5/5nNP7teW2UT1p0SjN7zD3M2/lZvYWOwYq4QissvXusEMyuG/qUp6buZz3F6zjj6f1ZFSfNjE30naooJAerTLIrJ/qdyhykMrWveISx+/fms8lz3/JqUccwh9P60Xrxul+h7mfxWu3sWNPMQOU7IqIiEiU9DWzrd5zA+p7rw1wzrnG/oVWMwM7Nd2vW+Z71w/l0Y+/4bGP8/hoyQZuOeUnnJ3VgaQYud1FzgoNThUPyta7P4zqyRn923HLm/P5zStz+FfOKv46pjcdmzfwMcoflJQ45hQUclq/tn6HIjVUtu7957dDeGrGMh788GumL93ITSMP4/yjO8XMLX5C+ZsAyOoc+yMxg7oxB0pAR8UXEZFa5pxLds419h4ZzrmUiOeBTXTLk56azA0n9mDKdUM47JAMbn5zPmc/8RlL123zOzQAcvIL6dqyIU0b1vM7FKllvdtl8vY1x3LHaT2ZXVDIifdl88hHeewpKvE7NJau38a23UWB6UoqVVcvJYlrju/GB+OG0r9jE26fuIAzH53JgjVb/A4NCPcoaJOZTrsm9f0OpUqU7IqIiEjM69Yqg9cuH8TdY/vwzYbvOfWBGfzjPX8HsCopceSsKFSrbhxLTjIuPvZQpt4wlOMPa8Xd7y9h1EMz9rVu+aV0MDfVvfjVqXlDXvzVUTxwTj9Wb97J6Idncud/FrJ9t78DWM0uKAxMF2ZQshsoatgVEZFEZmacldWBD28czun92/Hox99w0n3TyV66wZd4lm3czuYde8nqFIzufHLw2mTW5/ELBvL0hVls313M2Mc/45Y3v2Lzjj2+xDO7oJAWjdLo2Cw2ulVLdJgZY/q148MbhvOLIzvw1IzlnDg+m2kL1/kSz5rNO1mzZVegehQo2RUREZFAadawHvec1ZeXLzualCTjome/4DevzGH9tl11GkdOQbh1L0itHFIzI3q25oNxQ7l8aBdeD61ixPhsJs5djavja81CBYUM7NQk5gbNkujIbJDK/51xBP++ajAZ6alc+mKIK14K8e2WnXUaR6ggeD0KlOwGkI5rIiIicEzXFky5fgjjRvTg/dy1nHBvNv+cVUBJSd0kHqH8Qpo2SKVry4Z18v8kNjRMS+HWUw9n0rXH0q5pA657dS4XPPMF+Ru318n/X79tFys27VCPggQ0sFMz3v3tcfxu5E/IXrqBEfdm89zM5RTX0TFvdkEh9VOTObxNcIaGULIbIBqgSkREZH9pKclcN6I7U64fQu+2mdz2di5jH/+UxWu3HvjNNVR6va5a1xJTr7aZvHnVMfxlTC/mrdzMSfdP56EPv476AFazS1vXdG/nhJSanMRVw7syddwwsjo340/vLOT0R2Yyf1X0B7AKFWyiX4cmpCYHJ4UMTqQiIiIiFejashEvX3Y048/uS/53O/jZg59w15RFfJq3kUc+yiPHSxBqy6bte1i2Ybu6MCe45CTjgsGdmXbjME7s2Zp7py7l1Adn8NJn+VGpdxDuUVAvJYlebYPTuia1r0OzBjx/yZE8fF5/1m7dxZhHPuFP7yzgkygd87bvLmLRt9sC1YUZdJ/dQHHeEFVq4RUREfkxM+PMAe05/rBW/G3KYp7IXsaT2csASEtNYsKlg2rti1pp65q6kgpA68bpPHLeAMYOWM9N/57HHyYuACAtJYmXL6u9egfhHgV922eSlpJca8uUYDIzRvVpy5DuLbnn/SU8NzOf52bmY9T+MW/eys0Ul7jA9ShQy66IiIjElaYN6/H3sX0458gOOMJ3M9i1t4Rpi2pvBNNQQSGpyUaf9pm1tkwJvuN/0opfHt2J0o7tu4tKeGbGslobwGrX3mJyV29hoH5kkQiZ9VP5y+m9+eXRHYEfjnkfLFxba/+jdHCqAR2V7EqUqEVXRESk6s7K6kB6atK+xOOFmfm8+Fl+rQzmklOwiV5tM0lPVeua7O+47i1JS00iycKDik7OXcv5T3/Osg3f13jZX63awt5iF7iupFI3zhjQfr9j3vMz83l6xjKKimt+HXmooJAerRuRWT+1xsuqS+rGLCIiInFpYKemTLh0ELOWfUfn5g145YuV3D5xAf+evZr/O6M3vdoeXKvsnqIS5q3awoWDOtVyxBIPIuvd0Yc2Y8m6bfxtymJG3j+Dq4/vylXDux50F+ScAN76RepOZN3r2rIhr4dW8df/LOLN2au568wj6NuhyUEtt6TEMaegkFF929ZyxNGnZDdA1LArIiLRZGZ3A6cBe4BvgEucc5v9japmBnZqui8xOPWINkyat4a/vLuQ0Q/P5FfHdub6ET1omFa9r0O5a7awp6iErIBduyZ1J7LeZXVuxok9W/PXdxdx/7SvmTRvDXeefgSDuzav9nJzCjbRpWVDmjWsV9shS5yIrHsn9zqE93LXcsc7Czj90ZlcOKgT/3PyYWSkV691dun6bWzbXURWAH9kUTdmERERKTUV6O2c6wMsBW7xOZ5aZWaM6deOD28YztlZHXhqxnJOum860xZW71renHzv2rUAfvETf7TKSOfBc/vzwq+OoqjYce5Ts7jx9Xls2r6nystwzpFTUMjAgF0zKf4xM045og3TbhjGRYM78+KsAkaMz2by/G+rdR15KD+4PQqU7AaJLtoVEZEocs594Jwr8l7OAtr7GU+0ZDZI5a4zj+CNKwfTMC2ZS18MceVLOazdsqtK788pKKRjswa0ykiPcqQSb4b1aMkH44ZyzfFdmTh3NT+992NeD62sUuKxbON2CnfsVY8CqbaM9FTuGN2Lt68+lhaN0rh6wmx+/UKIlZt2VOn9swsKadGoHp2aN4hypLVPya6IiIiU51fAFL+DiKaszs149zdDuGnkYXy0ZD0jxmfz3MzllQ5g5ZwjVFAYyO58EhvSU5P535N/wuTrhtCtZSNueuMrznlyFnnrKx/AKmdf65pGYpaD07dDEyZecyy3/exwZi37jpPum84T2d+w9wADWIUKChnYqSlmVmm5WKRkN0DUrisiIjVlZtPMLLecx5iIMr8HioAJlSzncjMLmVlow4YNdRF6VNRLSeLq4d2YOm4YAzo15U/vLOSMR2eSu3pLueVXbNrBxu93qwuz1FiP1hm8fsVg/nbmESxeu41THpjO+A+WsGtvcbnlQwWbaNIglS4tGtZxpBJPUpKTuHRIF6beMIzjurfgrimLOe2hT5i9orDc8uu37WLFph2B7MIMSnZFREQSinNuhHOudzmPiQBmdhEwCjjfVdK30jn3pHMuyzmX1bJly7oKP2o6Nm/AC5ccyUPn9mfN5l2MfvgT/vzOQr7fXbRfudLRcNWVVGpDUpJxzlEd+fDGYYzq05YH/5vHKQ/MYGbexh+VLb1eNykpeK1rEnvaNanPUxdm8cQFA9mycy8/f+xTbnt7Plt27t2v3OyCYPcoULIbILpkV0REosnMRgK/A0Y756p2MVccMTNO69uWD28cxrlHdeS5T5dz4vhs3l+wdl+ZUEEhGWkp9GiV4WOkEm9aNErjvl/045+/PhrnHOc//TnjXpvLxu93A1C4fQ/fbNjOQP3IIrXs5F6HMPWGYVxyzKG8/PkKRozP5p15a/ZdRx7KL6ReShK92zX2OdKDo2RXRERESj0MZABTzWyumT3ud0B+yKyfyp1nHMG/rzqGzPqpXPFSDpe9GGLN5p18snQjzTPSmLMy0Hdkkhh1XPcWvHf9UH770268+9UaTrg3m1e/WMFroZUAZFTzNlkiVdEoLYXbT+vJpGuP45DG6fzmlTlc/NyXrNy0g+ylG2jZqB65q7f6HeZBseoMOx0LsrKyXCgU8jsMX7zwaT5/nLSATs0bkP2/x/sdjohIXDCzHOdclt9xBFk8n5v3Fpfw7CfLuW/aUpyD3UUlGJCWmsSESwcF9jo2iX1567dx61u5fLF8075p6SlJTLhM9U6ip7jE8dJn+dz9/hL2Fpewp9j5csyrrXNzVFt2zWykmS0xszwzu7mc+Wlm9po3/3Mz6xzNeIIuaD9MiIiIBF1qchJXDOvK1HHDaNekPhAeMHJvUQmzln3nb3AS17q1yuC1ywcxsvch+6btLVa9k+hKTjIuPvZQpt04jE7Nw4OhBfmYF7Vk18ySgUeAU4CewLlm1rNMsV8Dhc65bsB9wN+jFY+IiIjIwerQrAF3j+1DWkoSyQapKUkM6tLc77AkzpkZlw3pQrrqndSxNpn1+dvPg3/Mi1o3ZjMbDNzhnDvZe30LgHPurogy73tlPjOzFGAt0LKy0R9ro6tU7uotjHttbo2W4YfCHXv3DVTQvVUjn6MREfHXo+cPoHvrmg8SpG7MNRfP3ZjLyikoZNay7xjUpbm6kkqdUb0Tv/hV92rr3BzNq9zbASsjXq8Cjq6ojHOuyMy2AM2B/cZbN7PLgcsBOnbsWOPA0lOT6d46mMnigjVb6dmmMQG8p7OISK1KS0n2OwRJQAM7NVWyIXVO9U78EvS6F81kt7x0rGyLbVXK4Jx7EngSwr8e1zSwbq0a8ej5A2u6GBEREREREYlR0RygahXQIeJ1e2BNRWW8bsyZwCZEREREREREaiCaye6XQHczO9TM6gHnAJPKlJkEXOQ9Hwv8t7LrdUVERERERESqImrdmL1rcK8F3geSgWedcwvM7M9AyDk3CXgGeMnM8gi36J4TrXhEREREREQkcUTzml2cc5OByWWm3R7xfBdwVjRjEBERERERkcQTzW7MIiIiIiIiIr5QsisiIiIiIiJxR8muiIiIiIiIxB0luyIiIiIiIhJ3LGh3+jGzDUBBLS2uBbCxlpYVj7R9KqftUzltn8pp+1SuLrdPJ+dcyzr6X3HJzLYBS/yOo5bE02czXtYlXtYDtC6xKF7WA+JrXQ5zzmXUdCFRHY05GmrzC4mZhZxzWbW1vHij7VM5bZ/KaftUTtuncto+gbMkXvZXPNW9eFmXeFkP0LrEonhZD4i/damN5agbs4iIiIiIiMQdJbsiIiIiIiISdxI92X3S7wBinLZP5bR9KqftUzltn8pp+wRLPO0vrUvsiZf1AK1LLIqX9QCty48EboAqERERERERkQNJ9JZdERERERERiUMJmeya2UgzW2JmeWZ2s9/x+MHMOpjZR2a2yMwWmNl13vRmZjbVzL72/jb1ppuZPehts6/MbIC/a1A3zCzZzOaY2bve60PN7HNv+7xmZvW86Wne6zxvfmc/464LZtbEzN4ws8VePRqs+vMDMxvnfbZyzewVM0tP9PpjZs+a2Xozy42YVu06Y2YXeeW/NrOL/FiXRHWg82dQ6nJF58AyZYab2RYzm+s9bvcj1gMxs3wzm+/F+KPRS4Ny/DWzwyK29Vwz22pm15cpE7P7pDrHt3LeG1PHtArW5W7vfP+Vmb1lZk0qeG+l9bEuVbAed5jZ6og6dGoF742pXKGCdXktYj3yzWxuBe+NmX3ixVOtHKSc91fv8+KcS6gHkAx8A3QB6gHzgJ5+x+XDdmgDDPCeZwBLgZ7AP4Cbvek3A3/3np8KTAEMGAR87vc61NF2ugF4GXjXe/06cI73/HHgKu/51cDj3vNzgNf8jr0Ots0LwKXe83pAE9WffdumHbAcqB9Rby5O9PoDDAUGALkR06pVZ4BmwDLvb1PveVO/1y0RHlU5fwalLld0DixTZnjpsT+WH0A+0KKS+YE7/np1bS3he2AHYp9U5/hW5n0xd0yrYF1OAlK8538vb128eZXWxxhYjzuA/znA+2IuVyhvXcrMvxe4Pdb3iRdPtXKQMu+t9uclEVt2jwLynHPLnHN7gFeBMT7HVOecc98652Z7z7cBiwh/QR9DOInB+3u693wM8KILmwU0MbM2dRx2nTKz9sDPgKe91wb8FHjDK1J2+5RutzeAE7zyccnMGhM+8D4D4Jzb45zbjOpPpBSgvpmlAA2Ab0nw+uOcmw5sKjO5unXmZGCqc26Tc64QmAqMjH70QtXOn4Goy5WcA+NREI+/JwDfOOcK/A6kqqp5fIsUc8e08tbFOfeBc67IezkLaF/ngVVTBfukKmIuV6hsXbxj7NnAK3Ua1EE6iBwkUrU/L4mY7LYDVka8XkX8nuCqxOtm1h/4HGjtnPsWwpURaOUVS8Ttdj9wE1DivW4ObI442Edug33bx5u/xSsfr7oAG4DnLNzN+2kza4jqDwDOudXAPcAKwknuFiAH1Z/yVLfOJFRdijFV2faBq8tlzoFlDTazeWY2xcx61WlgVeeAD8wsx8wuL2d+ED8z51DxF/cg7JNSFR3fIgVx//yKcG+B8hyoPsaCa73u2M9W0FU2aPtkCLDOOfd1BfNjdp9UMQeJVO19k4jJbnm/MCfskNRm1gj4N3C9c25rZUXLmRa3283MRgHrnXM5kZPLKeqqMC8epRDuTvOYc64/sJ1wl5OKJNT28U6eY4BDgbZAQ+CUcoomav2pioq2ibaVf6qy7QO1fw5wDpxNuBttX+Ah4O26jq+KjnXODSB8jLnGzIaWmR+0fVIPGA38q5zZQdkn1RG0/fN7oAiYUEGRA9VHvz0GdAX6Ef4x+t5yygRqnwDnUnmrbkzuk2rkIPu9rZxple6bREx2VwEdIl63B9b4FIuvzCyVcCWb4Jx705u8rrR7k/d3vTc90bbbscBoM8sn3H3lp4Rbept43VJh/22wb/t48zM5uK4zQbEKWOWcK20JeYNw8qv6EzYCWO6c2+Cc2wu8CRyD6k95qltnEq0uxZKqbPvA1OUKzoH7OOe2Oue+955PBlLNrEUdh3lAzrk13t/1wFuEu2BGCtpn5hRgtnNuXdkZQdknESo6vkUKzP7xBgMaBZzvvAsoy6pCffSVc26dc67YOVcCPEX58QVpn6QAZwKvVVQmFvdJNXOQSNXeN4mY7H4JdLfwqKj1CHeVmeRzTHXO69//DLDIOTc+YtYkoHRks4uAiRHTL7SwQcCW0q4G8cg5d4tzrr1zrjPhOvJf59z5wEfAWK9Y2e1Tut3GeuVj+VfAGnHOrQVWmtlh3qQTgIWo/pRaAQwyswbeZ610+6j+/Fh168z7wElm1tRrQT/JmybRV5XzZyDqciXnwMgyh5Reb2xmRxH+zvRd3UV5YGbW0MwySp8T/jzklikWtONvha1UQdgnZVR0fIsUiGOamY0EfgeMds7tqKBMVeqjr8pcr34G5ccXpFxhBLDYObeqvJmxuE8OIgeJVP3Pi6vBaFpBfRAemXAp4ZHWfu93PD5tg+MIN/t/Bcz1HqcSvrbqQ+Br728zr7wBj3jbbD6Q5fc61OG2Gs4PozF3Ab4A8gh3sUrzpqd7r/O8+V38jrsOtks/IOTVobcJj4qn+vPD9vkTsJjwSeUlIC3R6w/hL7DfAnsJ/zr764OpM4SvF8vzHpf4vV6J9Cjv/An8mfAX4MDU5UrOgVcCV3plrgUWEB6JdRZwjN9xl7MeXbz45nmxlu6TyPUIzPGX8GB+3wGZEdMCsU+qeXzLAp6OeG9MHdMqWJc8wtdKln5eSkddbwtMrqw+xth6vOR9Dr4inFy1Kbse3uuYyhXKWxdv+vOln4+IsjG7T7yYqpuD1OjzYt6bREREREREROJGInZjFhERERERkTinZFdERERERETijpJdERERERERiTtKdkVERERERCTuKNkVERERERGRuKNkV0REREREROKOkl2RgDGzJmZ2dSXz65tZtpklV1JmmnczbhERETkIZvZbM1tkZhPKmdffzJ72nl9sZg+Xmf+xmWVVsuxXzax77UctkliU7IoETxOgwmSX8M2233TOFVdS5qUDLENEREQqdzVwqnPu/HLm3Qo8VINlPwbcVIP3iwhKdkWC6G9AVzOba2Z3lzP/fGAigJm1MbPpXtlcMxvilZkEnFtH8YqIiMQVM3sc6AJMMrNxZeZlAH2cc/OqsJzR3jl6rpktMbPl3qwZwAgzS6n14EUSiD5AIsFzM9DbOdev7Awzqwd0cc7le5POA953zt3pdWtuAOCcKzSzNDNr7pz7rq4CFxERiQfOuSvNbCRwvHNuY5nZWUBumWm/MLPjIl5385YzifAP0JjZ60C2N73EzPKAvkBOFFZBJCEo2RWJLy2AzRGvvwSeNbNU4G3n3NyIeeuBtoCSXRERkdrTBthQZtprzrlrS1+Y2ceRM83sJmCnc+6RiMml52kluyIHSd2YReLLTiC99IVzbjowFFgNvGRmF0aUTffKi4iISO3Z71x8IGZ2AnAWcGWZWTpPi9SQkl2R4NkGZJQ3wzlXCCSbWTqAmXUC1jvnngKeAQZ40w04BMivi4BFREQSyCK8bsoH4p2nHwXOds6VTWx7AAtqOTaRhKJkVyRgvGtsZ3oDTpU3QNUHQOl1QcOBuWY2B/g58IA3fSAwyzlXFO14RUREEolzbjGQ6Q1UdSAXA82Bt7xBqiYDmFlrwt2av41epCLxz5xzfscgIrXIzPoDNzjnLqikzAPAJOfch3UXmYiISGLwRmje5px7ugbv3+qce6Z2IxNJLGrZFYkzzrk5wEfe6MsVyVWiKyIiEjWPAbtr8P7NwAu1FItIwlLLroiIiIiIiMQdteyKiIiIiIhI3FGyKyIiIiIiInFHya6IiIiIiIjEHSW7IiIiIiIiEneU7IqIiIiIiEjc+X96BTv86UZ1kgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 1152x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"index_t0 = n_samples//8\n",
"t_0 = t[index_t0]\n",
"signal_step = np.zeros(n_samples)\n",
"signal_step[index_t0] = 1\n",
"\n",
"fig, axes = plot_signal_and_spectrum(signal_step, sample_rate, \"Delta function $t_0 = {:g}ns$\".format(t_0 * 10**9), ft_kwargs={'mask_bias':True});\n",
"axes.flat[1].set_xlim(0, 20);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Peculiarities $F^{-1}( F(A(t)) ) \\sim A(t)$"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# DFT\n",
"\n",
"A naive implementation of a DFT is simple to setup by implementing Eq. (1)\n",
"\n",
"$$\n",
"\\hat{f}(\\omega) = F(t) = \\frac{1}{\\sqrt{2\\pi}} \\sum_{k=0}^{N-1} f(t_k)\\, \\exp{ \\left(-i \\omega t_k \\right)}\n",
".\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"def naive_DFT( signal ):\n",
" \"\"\"\n",
" Calculate DFT in a naive way, returns a complex DFT.\n",
" \"\"\"\n",
"\n",
" N = np.size(signal)\n",
"\n",
" x_k = 2*np.pi/N*np.arange(N)\n",
" ft = np.zeros(N, dtype=np.complex128)\n",
" for j in range(N):\n",
" ft[j] = np.dot(signal, np.exp(- 1j * j * x_k ))\n",
"\n",
" return ft"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### DFT: Cooley and Tukey (or Divide and Conquer)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A smarter DFT (Cooley and Tukey) can be implemented by splitting the sum in Eq. (1) into two parts: $k$ even and $k$ odd.\n",
"\n",
"With a uniform sample space $t$, the label $t_k$ can be rewritten to $t_k = k \\Delta t = $.\n",
"\n",
"This gives\n",
"$$\n",
"F(t) = \n",
" \\frac{1}{\\sqrt{2\\pi}} \\sum_{k=0}^{N/2-1} f(t_{2k})\\, \\exp{ \\left(-i \\omega \\, t_{2k} \\right)}\n",
" +\n",
" \\frac{1}{\\sqrt{2\\pi}} \\sum_{k=0}^{N/2-1} f(t_{2k+1})\\, \\exp{ \\left(-i \\omega \\, t_{2k+1} \\right)}\n",
" \\\\\n",
" =\n",
" \\frac{1}{\\sqrt{2\\pi}} \\sum_{k=0}^{N/2-1} f(t_{2k})\\, \\exp{ \\left(-i \\omega \\, 2k \\Delta t \\right)}\n",
" +\n",
" \\frac{1}{\\sqrt{2\\pi}} \\sum_{k=0}^{N/2-1} f(t_{2k+1})\\, \\exp{ \\left(-i \\omega \\, 2k \\Delta t \\right)}\\exp{ \\left(-i \\omega \\, \\Delta t \\right)}\n",
" \\\\\n",
" =\n",
" \\frac{1}{\\sqrt{2\\pi}} \\sum_{k=0}^{N/2-1} f(t_{2k})\\, \\exp{ \\left(-i \\omega \\, 2k \\Delta t \\right)}\n",
" +\n",
" \\frac{\\exp{ \\left(-i \\omega \\, \\Delta t \\right)} }{\\sqrt{2\\pi}} \\sum_{k=0}^{N/2-1} f(t_{2k+1})\\, \\exp{ \\left(-i \\omega \\, 2k \\Delta t \\right)}\n",
" \\\\\n",
" =\n",
" F(t_{even}) + F(t_{odd}) \\exp{ \\left(-i \\omega \\, \\Delta t \\right)}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"def cooley_tukey_DFT( signal ):\n",
" \"\"\"\n",
" Calculate a DFT according to the Cooley and Tukey algorithm (radix-2)\n",
" also known as Divide and Conquer.\n",
" \n",
" It divides the terms into 2 streams with odd and even index.\n",
" \"\"\"\n",
" radix = 2\n",
"\n",
" N = np.size(signal)\n",
" \n",
" if N <= radix:\n",
" return naive_DFT(signal)\n",
" \n",
" if N % radix > 0:\n",
" raise ValueError(\"Provide a signal with N%{radix} == 0 values.\".format(radix=radix))\n",
" \n",
" # divide and conquer\n",
" DFT_even = cooley_tukey_DFT(signal[::radix])\n",
" DFT_odd = cooley_tukey_DFT(signal[1::radix])\n",
" \n",
" phase_terms = np.exp( -2j * np.pi * np.arange(0, N) / N )\n",
" \n",
" return np.tile(DFT_even, 2) + np.tile(DFT_odd,2) * phase_terms\n"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"f = 1e2 # Hz\n",
"if f > sample_rate/2:\n",
" print(\"Sampling a frequency above the sample_rate/2 gives problems\")\n",
"\n",
"signal_sine = np.sin( 2*np.pi*f*t )\n",
"\n",
"fig, axes = plot_signal_and_spectrum(signal_sine, sample_rate, \"Single frequency at $f = {:g}$MHz\".format(f/10**6), ft_kwargs={'fft': cooley_tukey_DFT})\n",
"axes.flat[1].axvline(sample_rate/2, color='r', label='Nyquist Frequency');"
]
}
],
"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": "3.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 4
}