m-thesis-introduction/fourier/01_fourier.ipynb

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Fourier Transforms"
]
},
{
"cell_type": "code",
"execution_count": 2,
"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",
"import matplotlib.ticker as tck\n",
"rng = np.random.default_rng()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The Fourier transform (FT) of a quantity $f(t)$ is defined as\n",
"\n",
"$$\n",
"\\hat{f}(\\omega) = F(f(t)) = \\frac{1}{\\sqrt{2\\pi}} \\int_{-\\infty}^{\\infty} \\mathrm{d}t\\, f(t)\\, \\exp{ \\left(-2 \\pi i f t \\right)}\n",
".\n",
"$$\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. This means that these frequencies are then 'measured\\` with differing phases in such a way that they are 'folded' around the Nyquist frequency and appear as aliased frequencies below it.\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.\n",
"\n",
"\n",
"$$\n",
"\\delta f = \\frac{1}{T}\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# FTs of ideal signals"
]
},
{
"cell_type": "code",
"execution_count": 3,
"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.isrealobj(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 or plot_complex:\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",
"\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",
" ax.legend()\n",
"\n",
" return ax\n",
"\n",
"\n",
"def plot_phase( ax, spectrum, freqs, ylim_epsilon=0.5):\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 - ylim_epsilon, np.pi + ylim_epsilon)\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=[3,1], hspace=0)\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",
" ax1.xaxis.tick_top()\n",
" [label.set_visible(False) for label in ax1.get_xticklabels()]\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, height_ratios=[3,1], hspace=0)\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": 4,
"metadata": {},
"outputs": [],
"source": [
"sample_rate = 1/1e-3 # s\n",
"n_samples = int(1e3)\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": [
{
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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(int(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": {
"text/plain": [
"(95.0, 105.0)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"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",
"if False:\n",
" # aliased peak\n",
" f_alias = (1.1* sample_rate/2)\n",
" signal_sine += 1/2*np.sin( 2*np.pi* f_alias *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();\n",
"axes.flat[1].set_xlim(f-5, f+5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A sine wave will give very clear peaks at the frequency of the sine wave."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x576 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"with_spectrum = True\n",
"phase_offsets = np.linspace(0, 2*np.pi, 8, endpoint=False) # rad\n",
"f = 99 # Hz\n",
"\n",
"if f > sample_rate/2:\n",
" print(\"Sampling a frequency above the sample_rate/2 gives problems\")\n",
"\n",
"if with_spectrum:\n",
" fig, axes = plt.subplots(2,1, sharex=True, figsize=(16,8))\n",
"else:\n",
" fig, ax = plt.subplots(figsize=(16,4))\n",
" axes = np.array([None, ax])\n",
" \n",
"if with_spectrum:\n",
" axes[0].set_ylabel(\"Amplitude\")\n",
" axes[0].axvline(f, alpha=0.3, label='f = {:g}Hz'.format(f))\n",
"\n",
"axes[1].axvline(f, alpha=0.3, label='f = {:g}Hz'.format(f))\n",
"axes[1].set_ylabel(\"Phase\")\n",
"axes[1].set_xlabel(\"f\")\n",
"axes[1].set_xlim( f-2, f+2)\n",
"axes[1].set_ylim( -1 - 0.2, 1+ 0.2)\n",
"axes[1].grid()\n",
"axes[1].yaxis.set_major_formatter(tck.FormatStrFormatter('%g $\\pi$'))\n",
"axes[1].yaxis.set_major_locator(tck.MultipleLocator(base=0.5))\n",
"\n",
"for phase in phase_offsets:\n",
" signal = np.sin( 2*np.pi*f*t + phase )\n",
" \n",
" ft_signal, freqs = ft_spectrum(signal, sample_rate)\n",
" \n",
" if with_spectrum:\n",
" axes[0].plot(freqs, np.real(ft_signal), '.-', label='Re $\\\\varphi = {}\\\\pi$'.format(phase/np.pi))\n",
" \n",
" axes[1].plot(freqs, np.angle(ft_signal)/np.pi, '.-', label='$\\\\varphi = {}\\\\pi$'.format(phase/np.pi))\n",
"\n",
"# trigger legends\n",
"if with_spectrum:\n",
" axes[0].legend(loc='center right');\n",
"axes[1].legend(loc='center right');\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For a sine wave, the phase of the spectrum at it's frequency is $\\theta( \\varphi = 0 ) = - \\dfrac{\\pi}{2}$."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### FTs: step function"
]
},
{
"cell_type": "code",
"execution_count": 8,
"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 peak\n",
"\n",
"All frequencies are accounted for with the same amplitude, but the phase will change depending on the position of the delta peak within the signal.\n",
"\n",
"Still, the individual phases are linearly related to their corresponding frequencies."
]
},
{
"cell_type": "code",
"execution_count": 10,
"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"
},
{
"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"
},
{
"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": [
"\n",
"for n in [1, -1, 4, 2, -4]:\n",
" index_t0 = min(n_samples//n, n_samples-1)\n",
"\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, ft_kwargs={'mask_bias':True}, spectrum_kwargs={'plot_complex':True, 'plot_amplitude':True});\n",
" fig.suptitle(\"Delta function at ${}/{}$th of the sample\".format(np.sign(n), np.abs(n)))\n",
" axes.flat[1].set_xlim(0, 20);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## FTs: gaussian with sine"
]
},
{
"cell_type": "code",
"execution_count": 9,
"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 = 1e1 # Hz\n",
"if f > sample_rate/2:\n",
" print(\"Sampling a frequency above the sample_rate/2 gives problems\")\n",
"\n",
"def gaussian(x, mu=0, sigma=1 ):\n",
" return 1/(sigma*np.sqrt(2*np.pi)) * np.exp(- (x-mu)**2 / sigma**2 )\n",
"\n",
"def dgaussian(x, mu=0, sigma=1, dmu=1, dsigma=0):\n",
" return gaussian(x, mu, sigma) + gaussian(x, mu+dmu, sigma+dsigma)\n",
"\n",
"if not True:\n",
" signal = gaussian(t, t[2*len(t)//5], 100/len(t)) - gaussian(t, t[3*len(t)//5], 100/len(t))\n",
"else:\n",
" signal = gaussian(t, t[2*len(t)//5], 100/len(t)) * np.sin(2*np.pi*f*t)\n",
"\n",
"fig, axes = plot_signal_and_spectrum(signal, sample_rate, \"Gaussian pulse\", spectrum_kwargs={'plot_complex':True, 'plot_amplitude':True})\n",
"axes.flat[1].axvline(sample_rate/2, color='r', label='Nyquist Frequency')\n",
"axes.flat[2].axvline(sample_rate/2, color='r')\n",
"axes.flat[1].legend();\n",
"\n",
"if not True:\n",
" axes.flat[1].set_xlim(0, 20);\n",
"else:\n",
" axes.flat[1].set_xlim(max(0, f - max(f/5, 10)), f + max(f/5, 10));\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### FTs: delta peak: group velocity"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In the above plots, the phases follow"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Peculiarities $F^{-1}( F(A(t)) ) \\sim A(t)$"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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zDgceeCDHHHMMECS+jzzyCPvvH3RFWbduHW+88QZHHHEE1113XccX/sWLF/PGG28o8ZXNOvjggxk9ejRAx3tu4sSJTJ48mQceeIAzzjiDBx98kCuuuILHH3+cBQsWcPjhhwPQ1tbGYYcd1vFYZ599dsfy+PHjOe+88zjllFM45ZRTgOD9e//993PVVVcBwdRO7733Hk888QTTpk3rOG78+PFdxptvU+eeKI3FaEtnaE2nCb+6iYhsldf/tZb6ta0c/pGaPj1PsUd1PjePMjMJpj3K3fYWsF/fRLV5Y4bXYF7CB43LihWCiEi/kU/N7MIP1vAfs16gPZVmeDLBZSfvw57bDevRebNf5FevXs2JJ57I9ddfz7Rp03B3Lrnkko7+i1lz5szhz3/+M08//TTJZJJJkyZpftII2JKa2b4yZMiQjuV4PE4qlQKCJPb666+nurqagw46iKFDh+LuHHPMMcye3flEFBUVFR3LDz74IE888QT3338/P/zhD3n11Vdxd+666y523333TY7tT1MLlcaNtjS0tqups4j0zKxn3uXel5by8qXH9ul5otLHt18ZkUwQ92HUN/V8lGgRkcFgz+2G8cvzDmDax3fjl+cd0OOkN9fw4cO57rrruOqqq2hvb+e4445jxowZHf0q33//fZYtW8bq1aupqqoimUyyaNEinnnmmV6LQQanSZMm8cILL3DTTTd11OQeeuihPPXUU7z55psANDU18frrr29ybCaTYfHixRx11FFcccUVrFq1inXr1nHcccfx85//HPdgPM4XXwxmjzjiiCOYNWsWAPPnz2fevHmFeIpdKi0JvkK2pZX4ikjPNLWlSRagy0S/7+PbH8ViRjJezYqWhmKHIiISGXtuN6xXE95c+++/P/vttx+33norn/rUp1i4cGFH89LKykp+97vfMXnyZG644QbGjx/P7rvvzqGHHtonscjgEY/HOfHEE5k5cya33HILALW1tcycOZNzzz2X1tZg5OPLL7+c3XbbbYNj0+k0559/PqtXr8bd+epXv8qIESP4n//5H/7zP/+T8ePH4+6MHTuWP/zhD1x00UVccMEFjB8/ngkTJnDwwQUZ07NLJbEw8dXgViLSQ03tacpL+z7xtewdxcGgrq7OO5vzbmt84nffZ60t4q/ndd6USURkIFu4cCF77rlnscMoqM6es5k97+75zwEjm+js2jwY31/9WWevx7/96C8sXd3CvV86nAk7jihSZCIyEHxu5nN8uKaFB6d9tFcer6trs5o6b6WqspG0pNfRklL/MBERERlcSuKq8RWR3lGops5KfLfSNuW1pDJOfbP6+YqIiMjgUhoPBto668anuflvbxU5GhGJsqb2NGUFaOqsxHcrbVu5DemMs6xxebFDERERESmo0vj6r5A3PP7PIkYiIlH25rJ1rG5qU41vf7bj0FEAvLv6gyJHIiIiIlJYJfH1UystX9fG/3vq7SJGIyJRtLqpnY//9HHeaWgimej7MZeV+G6lHYbXAjEWr/6w2KGIiIj0OTPb0cweM7OFZvaqmX2lkzJmZteZ2ZtmNs/MDihGrNL3cmt8Ab7/wAKu/fMbfLhaY5+IyOYt+nANVz/6Wsd6IZo6azqjrVRTWUY8M4yl65YVOxQREZFCSAFfc/cXzGwo8LyZPeruC3LKHA/sGv4cAvwq/C0DTGls07qTa/78Otf8+XVGJEs5/YDRHLf3tlQMiTOsrJQdRpQDwZSQIjL4LFvbQlsqw7wlq5n1j3d56s0Np4XVPL79WFUyQdyHU9+kPr4iIsVQWVnJunXrih3GoOHuHwAfhMtrzWwhsAOQm/h+AviNB3MlPmNmI8xsu/DYSFmyZAlf+tKXWLBgAZlMhhNPPJErr7ySRCKxQbmlS5cybdo07rzzzm4f74QTTuD3v/89I0Zs+dQ/l112GZWVlXz961/f4mP7RFsTZzXO4uiSFV3sB56BF5/ZcHMiHqOsNE5VRYIhJTFaUxmqkqUk4jGa2tIMKy9hSEmcxtYUQ8tKSSbiNLalSMRjJBMlNLenMDMqh8Rpac/gDhVD4rSlnXQ6Q8WQElLpDO0ZJ5mIk8lAazpDsjSO47S2ZygrjWMGrak0iXiceMxoSaUpjcUoiRutqQxxM0pLYrSl0hhGoiTWMXp1oiRGezo495DSGKm0k3ZnSEmMdMZJZ5zSeAx3JxUuA6QyTjxmxAxSaSe20XI8BqmUYxY0I29PO0awnEoHU4+WxI1UBnCnJG6kM+DuxONGJgMOxGPgDhmHmIEB6eyyQToTLMcMUh3LRjoTniNm2AC8N9GeDv62uc81Htvweac22u7h9vXLrP+bxwwH0uHrSifLMVv/GlvOa0z2NU6Fr3FJsAzBoHHtacfdKS2JkQ7fX4lwOZUJljPutKczHe+vtnSG0lgsfG9nKIkZ8ZjR2p4hHjNK4kZLexozY0g8RnN7GoAhpXFa2lNkMlCWiNPaniaVccoTcdraM7SmMiQTcdozTlNbimSihHTGWdeSojwRwx1WN7dTEr7nVzS2kYjHcGBFYxvpjNOWzvCvNRu2BDkCOGKjLHTUuqOAvXrzZd+EEt+tNCJZSklmGA0tkbuWi4iI9IiZjQX2B/6x0a4dgMU560vCbRtcLM1sKjAVYMyYMX0V5lZzd0477TQuuugi7rvvPtLpNFOnTuU73/kOV155ZUe5VCrF9ttvv9mkF+Chhx7qy5ALa8mznLH2t7TGS0lvaa+5dmBVzvqqrgoGcm8TVOQsD8lZLs1Zjufsi7H+i64B5Z0cnwGytzLSOeVTrO8P2B4en13OPl5bJ8u5ZTZeTuUsZzZaTnVRrifLW6N980UGjK5ep65es66W03ks53tMa85yWyfLlhNfLOfYOOvfU9n3cHqj5dKc5ex73tnw/1JZznI56//PJNjw/9+wnOXqnOUuP83zqMxd1Fiz+UI9pMR3K5XGY1SUVLO2fRHt6XZK46WbP0hEZDD7cD588BJsNwG23afXHnbOnDlceumljBo1ipdeeonTTjuNfffdl2uvvZbm5mbuvfdedtllFx544AEuv/xy2traGDlyJLNmzWLUqFHU19fzyU9+koaGBg466CAefvhhnn/+eWpq+v4iHEVmVgncBfynu6/ZeHcnh/gmG9ynA9MB6urqNtlfbH/9618pKyvjggsuACAej3PNNdcwbtw4xo0bx2OPPUZLSwuNjY3MmDGDE088kfnz59PU1MSUKVNYtGgRe+65J++88w7XX389dXV1jB07lrlz57Ju3TqOP/54Jk6cyN///nd22GEH7rvvPsrLy7npppuYPn06bW1tfOQjH+G3v/0tyWSyyH+NTmSCr9ufbPs2z/vuRQ6mZ7I1fTGD8tI4jW3poIZ5SJzmtjTxmJFMxGlNZYiZUV4apz2dwSyowU5lgprE0niMTMYxC2rXPHxXBzWt1vEfw8L1bK0hBDW08Y2agMcsqFHMbo2FNbnZWsuMZ2sng/MCYS1wtuYwqJm27HJ2e07NZmk8WHYPlrM1m0NKYhhBzW/H84itX85udw+2Z59DLKwqzrh3LDtO9tl7+FFg2CbL+ZTJlf1b5MYR1HR7p3Gk0k4qkyHjGz7vkpiRdifjkB2vLR1UymJGx9/WcmqKYzEjnQnSzLhtWFPcns4u01FTHxyb6XiOaQ9qejMePKtsLbSH8aYyjuPELXi8TPheybYuyL5n29NBza474fsziK2pNd3xnlzXGqTb2RYWua9ff3PpHnvR14NCKPHtgRFDRrI07TS0NLBtxbbFDkdEpHjun7bptl2Ogr1PhfYWuOtCeHsOeAYsBuMmwf7nwe7HQ/MqePR7Gx578nVbdPqXX36ZhQsXUl1dzc4778yFF17Is88+y7XXXsvPf/5zfvaznzFx4kSeeeYZzIybb76ZK664gquvvprvf//7fOxjH+OSSy7h4YcfZvr06Vv9ZxjozKyUIOmd5e53d1JkCbBjzvpoYGmPTvrHb8GHr/ToITax7b5w/I+73P3qq69y4IEHbrBt2LBhjBkzhlQqxdNPP828efOorq7mnXfe6Sjzy1/+kqqqKubNm8f8+fOZMGFCp4//xhtvMHv2bG666SbOOuss7rrrLs4//3xOO+00Pv/5zwPw3e9+l1//+tdcfPHFPX++Rbbf6OEMKy9lp5FJdq6ppLk9zbCyEnauraSpLUiix9UkaW7L0JZOs0ttJa2pDO3pDCMrhtCeyZBKe0cfwHQmaOpbEouRygQJabZJqlnQxDOTk6S4r09A3IMyIoOd+6Y3E4JEnA2aeremgqb9ZaVBIp3JQGVZCSub2mhLZahKJqhf28q/1rZQXZFgRWMb7yxvpKZyCPVrW3l5ySrKSuO8sWwdT7xe32U85Rrcqn+rLa/hvUanvqleia+ISHeaG4Kkt6QMUi3Bei866KCD2G677QDYZZddOPbYYwHYd999eeyxx4Cgz+bZZ5/NBx98QFtbG+PGjQPgySef5J577gFg8uTJVFVV9WpsA4UF2cKvgYXu/tMuit0PfNnMbiUY1Gp1FPv3dpUcZbcfc8wxVFdXb7L/ySef5CtfCQa73meffRg/fnynjz9u3LiOpPjAAw/sSJ7nz5/Pd7/7XVatWsW6des47rjjeukZ9TYP/+08gbzspL3Yf0wVw8pLGVdT0WmZLVHeTTvJeGz9vtwplnIH0cp9LZX0igQ2/r+Qu5r7fyl3tOWhZetbuNZUrm8kPWZkkjEjg9Ypu9TCQWPXfz6eddD6e6HuzjsNTby5bB3fuecVlq1d37i7XINb9W/bVowivTZDfXPXdy9ERAaF7mpoS8vg+Cvhjs9Aqg3Kq4L1bHPn8hFbXMO7sSFD1l+AY7FYx3osFiOVCpp6XXzxxfzXf/0XJ598MnPmzOGyyy4DNr3rLV06HPgU8IqZvRRu+zZhty53vwF4CDgBeBNoAi7o8Vm7qZntK3vvvTd33XXXBtvWrFnD4sWLicfjVFR0nszl+17Kfb/G43Gam5sBmDJlCvfeey/77bcfM2fOZM6cOVv3BIpghxHlfP243Th1/9HFDkVE+ikzY1xNBeNqKjhmr1GcO/0Znn4ruBE+pKTvE1/N49sD2w+tJZ2B+iYlviIi3dp2HzjzFpj0zeB3L/bxzdfq1avZYYcdALjllls6tk+cOJHbb78dgEceeYSVK1cWPLYocPcn3d3cfby7Twh/HnL3G8KkFw98yd13cfd93X1usePeGkcffTRNTU385je/ASCdTvO1r32NKVOmdNvnNve9tGDBAl55ZcuaaK9du5btttuO9vZ2Zs2atfVPoK91kt//9Kz9lPSKyBaZPfVQJu8dtJpNZTKbKd1zSnx7YGRlObFMJUvW/qvYoYiI9H/b7gP7n1+UpBeCKWHOPPNMPvrRj24wcNWll17KI488wgEHHMAf//hHtttuO4YOHVqUGKV/MDPuuece7rjjDnbddVd22203ysrK+L//+79uj/uP//gP6uvrGT9+PD/5yU8YP348w4cPz/u8P/zhDznkkEM45phj2GOPPXr6NArmDxdP5JCdRxY7DBGJoERJkI62p/s+8bViNvEysxnAicAyd9/km5CZTQLuA94ON93t7j8I900GriUYIPtmd99sW6i6ujqfO7f3bj4/+cZy/nvOdzh8l1qu+tjlvfa4IiL93cKFC9lzzz2LHUavaG1tJR6PU1JSwtNPP81FF13ESy+9tEm5zp6zmT3v7nWFinUg6uzaHNX3Vzqdpr29nbKyMv75z39y9NFH8/rrr28y92/UbPJ6vPEozDqDU1u/z4u+K+/8+N+LF5yIRNrcd1Zwxg1P8+Q3j2J0Ve+MYt/VtbnYfXxnAr8AftNNmb+5+4m5G8wsDlwPHEMwguRzZna/uy/oq0A7U1VRStyH86GaOouIRNZ7773HWWedRSaTIZFIcNNNNxU7JImopqYmjjrqKNrb23F3fvWrX0U+6e2Udz+4lYhIvurGVhfs5llRE193f8LMxm7FoQcDb7r7WwDh6JGfAAqa+FZXJIhnhrOy5S3SmfQGIwuKiEg07Lrrrrz44ovFDkMGgKFDh9KbLctERKT3RKGP72Fm9rKZ/dHM9g637QAszimzJNy2CTObamZzzWxufX3v1sxWJRPEfX61Z0UAACAASURBVDjt6TQrWlb06mOLiIgMZhptu3/o/HXwjn9v+ezBBY1HRGRr9ffE9wVgJ3ffD/g5cG+4vbO2NZ1eId19urvXuXtdbW1trwZXVhqnIl5FKuOa0khERKSXlJWV0dDQoOS3yNydhoYGysrKOt2/53bDOHK33v1uJSLSV4rdx7db7r4mZ/khM/ulmdUQ1PDumFN0NLC00PEBjCyrYU3GWd68vBinFxERGXBGjx7NkiVL6O2WWrLlysrKGD16o2mKsjck1MVXRCKkXye+ZrYt8C93dzM7mKCGugFYBexqZuOA94FzgE8WI8ZtKmp5o8k1l6+IiEgvKS0tZdy4ccUOQzbDlPmKSIQUtamzmc0GngZ2N7MlZvY5M/uimX0xLHIGMN/MXgauA87xQAr4MvAnYCFwu7u/WoznUFuZhExSTZ1FRIrgnnvuwcxYtGgRAHPmzOHEE0/czFEi0jNBja+ZEl8RiY5ij+p87mb2/4JguqPO9j0EPNQXcW2JqmQCUkNV4ysiUgSzZ89m4sSJ3HrrrVx22WXFDkdkcPBs4tvfh4oREVlPn1g9VF2RwNLD+VejEl8Rke68tuI17nnjHl5b8VqvPN66det46qmn+PWvf82tt97asX3NmjWceuqp7LXXXnzxi18kk8mQTqeZMmUK++yzD/vuuy/XXHNNr8QgMpipwldEoqRf9/GNgqqKBHEfxr+aFpLxDDHd/RSRQeaWV2/h7dVvd1tmdetqnvngmY7PyUO3O5ThQ4Z3WX7c8HF8Zu/PdPuY9957L5MnT2a33XajurqaF154AYBnn32WBQsWsNNOOzF58mTuvvtuxo0bx/vvv8/8+fMBWLVq1RY+SxFZLzu4lTJfEYkOZWk9VJ1MEM8MpzXVzqpWfZESEenMypaVZDxDIp4g4xlWtqzs8WPOnj2bc845B4BzzjmH2bNnA3DwwQez8847E4/HOffcc3nyySfZeeedeeutt7j44ot5+OGHGTZsWI/PLzLYxZT4ikiEqMa3h6orEsR9eDCXb1M91WXVxQ5JRKSgNlczC0Ez56/N+RrtmXaGJ4ZzySGXsHv17lt9zoaGBv76178yf/58zIx0Oo2ZccIJJ2wy4I6ZUVVVxcsvv8yf/vQnrr/+em6//XZmzJix1ecXGdRcg1uJSPQo8e2hqoqgxjedcRqaG4odjohIv7R79e5cPelqFjQsYK+Re/Uo6QW48847+fSnP82NN97Yse3II4/kySef5Nlnn+Xtt99mp5124rbbbmPq1KksX76cRCLB6aefzi677MKUKVN6+IxERM0GRSRKlPj2UEUiTllsBGszzrLmZcUOR0Sk39q9evceJ7xZs2fP5lvf+tYG204//XR+9atfcdhhh/Gtb32LV155hSOOOIJTTz2VV155hQsuuIBMJgPAj370o16JQ2RwyvbxVeorItGhxLeHzIyaikoavYzlzcuLHY6IyKAwZ86cTbZNmzaNadOmdVp+v/326xj8SkR6SE2dRSSCdKuuF1QlE8QzwzSXr4iIiAwaSnxFJEqU+PaC6ooEpIdR36zEV0RERAa6bI1vkcMQEdkCSnx7QVVFglTbUJY3L8fD5j8iIgPdYPq8G0zPVSRfqvEVkShR4tsLqpMJ0u2VtKRaWdu+ttjhiIj0ubKyMhoaGgZFQujuNDQ0UFZWVuxQRPoH9fEVkQjS4Fa9oKoiQdxHdMzlOywxrNghiYj0qdGjR7NkyRLq6wdHF4+ysjJGjx5d7DBE+hUlviISJUp8e0F1RSklPox0OsPy5uXsMmKXYockItKnSktLGTduXLHDEJGiUB9fEYkeNXXuBcGozsODGl8NcCUiIiIDWUdTZ32NFJHo0CdWL6iuSGCUESOhKY1ERGRAMrMZZrbMzOZ3sX+4mT1gZi+b2atmdkGhY5TCMlTlKyLRocS3FwwrKyUeizHERqjGV0REBqqZwORu9n8JWODu+wGTgKvNLFGAuKTgNLiViESPEt9eEIsZVclSSnw4y5uXFzscERGRXufuTwAruisCDLUgG6oMy6YKEZsUR0x5r4hESFET3zyaTZ1nZvPCn7+b2X45+94xs1fM7CUzm1u4qDtXnUxg6WFq6iwiIoPVL4A9gaXAK8BX3D3TWUEzm2pmc81s7mAZGXxAyfbxVeYrIhFS7BrfmXTfbOpt4Eh3Hw/8EJi+0f6j3H2Cu9f1UXx5q6pIkGofSlOqiab2pmKHIyIiUmjHAS8B2wMTgF+YWafz+7n7dHevc/e62traQsYovUhNnUUkSoqa+G6u2ZS7/93dV4arzwD9dhLF6ooEba0VAOrnKyIig9EFwN0eeJPg5vUeRY5J+pQSXxGJjmLX+G6JzwF/zFl34BEze97MpnZ1UKGaU1UlE7S0VOKOmjuLiMhg9B5wNICZjQJ2B94qakTSN8KmzjHV+IpIhJQUO4B8mNlRBInvxJzNh7v7UjPbBnjUzBaFNcgbcPfphE2k6+rqvK9irK4oJZ4ZTjrjGuBKREQGHDObTTBac42ZLQEuBUoB3P0Ggi5JM83sFYKqwG+6uy6IA5jyXhGJkn6f+JrZeOBm4Hh3b8hud/el4e9lZnYPcDCwSeJbKFXJBDGSGHGWNS0rVhgiIiJ9wt3P3cz+pcCxBQpHiio7nVGUGg6KyGDXrz+xzGwMcDfwKXd/PWd7hZkNzS4TXGg7HRm6UKorEhhGRbxaNb4iIiIy4GlwKxGJkqLW+ObRbOp7wEjgl+GHayocwXkUcE+4rQT4vbs/XPAnkKOqIgFAWWyEEl8REREZuLLTGSnxFZEIKWrim0ezqQuBCzvZ/haw36ZHFE9VMoEZlPhwljW/vvkDRERERCIs1q/bDYqIbEgfWb0kHjOGl5cSywxjbdtaWlItxQ5JREREpA+oxldEokeJby+qSiZItw8FUHNnERERGZhcg1uJSPToE6sXVVckaG+tBJT4ioiIyMAWU4WviESIEt9eVJVM0NRSAUB9c32RoxERERHpC6rxFZHo0SdWL6quKGVtY4IYMeqblPiKiIjIwKUKXxGJEiW+vaiqIoF7jOGJatX4ioiIyIDkngkWNLiViESIEt9eVJ0M5vKtLKlWH18REREZkMKxrYgp8RWRCFHi24uqKoLEtzxepRpfERERGZDcNZ2RiESPEt9eVB0mvqU+nJUtK2lPtxc5IhEREZHelU18YzF9jRSR6NAnVi+qCps6xzLDAWhoaShmOCIiIiK9Lpv4anQrEYkSJb69KFESo2JInExqKIBGdhYREZEBp6PGV02dRSRClPj2suqKBO2tlYDm8hUREZGBJ6zv1aDOIhIpSnx7WVUyQVNzGTFiGtlZREREBpzsdEYx09dIEYkOfWL1suqKBKubM4woG6EaXxERERlwMtkuvqryFZEIUeLby6qSCVY0tlFbXqs+viIiIjLwaDojEYkgJb69rLoiQXvaGZ4YqabOIiIiMuBocCsRiSIlvr2sKpzLtzxWRUNzA+lMusgRiYiIiPSejKYzEpEIKmria2YzzGyZmc3vYr+Z2XVm9qaZzTOzA3L2fcbM3gh/PlO4qLtXHc7lm7ARZMiwomVFkSMSERER6UUdTZ1VfyIi0VHsT6yZwORu9h8P7Br+TAV+BWBm1cClwCHAwcClZlbVp5HmqaqiFIBYehigKY1ERERkYMlOZxRTja+IRMhmE18zS5rZ/5jZTeH6rmZ2Ym+c3N2fALqrEv0E8BsPPAOMMLPtgOOAR919hbuvBB6l+wS6YKrDps6eGgqgfr4iIiIyoHhGNb4iEj35fGL9P6AVOCxcXwJc3mcRbWgHYHHO+pJwW1fbN2FmU81srpnNra/v+9rX8tI4Q0pitLdXAmhkZxERERlQnOzgVkUORERkC+ST+O7i7lcA7QDu3kzhhjPo7DzezfZNN7pPd/c6d6+rra3t1eA6Y2ZUVSRY0+QMTwxXU2cRERkQNjcuR1hmkpm9ZGavmtnjhYxPCsfVx1dEIiifT6w2MysnTCzNbBeCGuBCWALsmLM+GljazfZ+oTqZYGVTG7XJWjV1FhGRgWIm3XQrMrMRwC+Bk919b+DMAsUlhZZNfFXlKyIRkk/ieynwMLCjmc0C/gJ8o0+jWu9+4NPh6M6HAqvd/QPgT8CxZlYVDmp1bLitX6iqSLCisY3a8lo1dRYRkQEhj3E5Pgnc7e7vheWXFSQwKbjsdEaq7xWRKCnZXAF3f9TMXgAOJWhi/BV375VqTDObDUwCasxsCUGSXRqe9wbgIeAE4E2gCbgg3LfCzH4IPBc+1A/cvd/MG1RdUcoL77ZTm6zluX89R8YzxNQcSEREBrbdgFIzmwMMBa519990VtDMphLM1sCYMWMKFqD0jo6mzjF9txGR6Ogy8c2dMzf0Qfh7jJmNcfcXenpydz93M/sd+FIX+2YAM3oaQ1+oSiZobk8zrLSKVCbF6tbVVJX1i9mWRERE+koJcCBwNFAOPG1mz7j76xsXdPfpwHSAurq6TsfokP4r+4KZWjqLSIR0V+N7dfi7DKgDXiao8R0P/AOY2LehRVd2SqMh4dTCy5qWKfEVEZGBbgmw3N0bgUYzewLYD9gk8ZWI8wyAWrOJSKR0+Ynl7ke5+1HAu8AB4cjIBwL7EzQ9li5UhYlvPDMcgIbmhmKGIyIiUgj3AR81sxIzSwKHAAuLHJP0gbCls2p8RSRSNtvHF9jD3V/Jrrj7fDOb0IcxRV51Mkh8SQ8F0JRGIiISeZsbl8PdF5rZw8A8IAPc7O5dTn0k0aXpjEQkivJJfBea2c3A7wi6dZyP7uB2K1vju64lRmVppRJfERGJvM2NyxGWuRK4sgDhSBFlE1/NZiQiUZJP4nsBcBHwlXD9CeBXfRbRADCsrIR4zFjZ2EZNeY2mNBIREZEBw8nW+CrzFZHoyGc6oxbgmvBH8mBmVCVLWdHUTu2IWj5o/GDzB4mIiIhEgZo6i0gEbTbxNbO3WT9yfQd337lPIhogqioSrGxs4yPb1zJv+TzcXXdGRUREJPIy4bdCNXUWkSjJp6lzXc5yGXAmUN034Qwc1ckEH6xpoaa8htZ0K2vb1zIsMazYYYmIiIj0TLaPb0w1viISHZv9xHL3hpyf9939Z8DHChBbpGVrfGvLawFY3rS8yBGJiIiI9Fymo49vkQMREdkC+TR1PiBnNUZQAzy0zyIaIKorEqxtSVE1ZHsgmNJo5xFqHS4iIsVjZmXAicBHge2BZmA+8KC7v1rM2CRC1MdXRCIon6bOV+csp4C3gbP6JpyBoyqcy7eEoHmzpjQSEZFiMrPLgJOAOcA/gGUEXZh2A34cJsVfc/d5xYpRomH9dEZKfEUkOvJJfD/n7m/lbjCzcX0Uz4BRHc7l29qaoCxepqbOIiJSbM+5+2Vd7PupmW0DjClgPBJRmsdXRKIon1t1d+a5TXJUV5QCsLKpndpkLcualxU5IhERGczc/UEAMztz431mdqa7L3P3uYWPTKImzHs1W4WIREqXNb5mtgewNzDczE7L2TWMoGmUdCPb1HllUzDA1fJm1fiKiEi/cAlwRx7bRDrnGtxKRKKnu6bOuxMMgDGCoE9Q1lrg830Z1EAwIpkgZrCisY2aihoWrVhU7JBERGQQM7PjgROAHczsupxdwwjG8BDJi2dHddZ0RiISIV0mvu5+H3CfmR3m7k8XMKYBIR4zhpWXsrKxjZ1qa2lKNdHU3kSyNFns0EREZHBaCjwPnBz+zloLfLUoEUkkZZs6q4+viERJd02dv+HuVwCfNLNzN97v7tP6NLIBoLoiQUNjGweW1wDByM47le5U5KhERGQwcveXgZfNbJa7txc7Hoku13RGIhJB3TV1Xhj+7rOBLsxsMnAtEAdudvcfb7T/GuCocDUJbOPuI8J9aeCVcN977n5yX8W5taqSiY4+vgD1TfXsNEyJr4iIFJ6ZPQBMBx7uZN/OwBTgHXefUeDQJGo8A0BMnXxFJEK6a+r8QPj7lr44sZnFgeuBY4AlwHNmdr+7L8iJ4as55S8G9s95iGZ3n9AXsfWW6ooE/6xfxzbJbQA0wJWIiBTT54H/An5mZiuAeqAc2An4J/CLsJuTSLfCls5KfEUkUrpr6vwA6z/bNtELNawHA29m5wg2s1uBTwALuih/LnBpD89ZUFUVCdY0t1NZMpTSWCn1zfXFDklERAYpd/8Q+AbwDTMbC2wHNAHDgXOU9Eq+PKPBrUQkerpr6nxVH597B2BxzvoS4JDOCprZTsA44K85m8vMbC7BSJQ/dvd7uzh2KjAVYMyYMb0Qdv6qkwkyDqtbUtSW11LfpMRXRET6hRHAqcBZwNvAXcUNR6KkY1RnVfiKSIR019T58eyymSWAPQhqgF9z97ZeOHdnH5dd1TCfA9zp7umcbWPcfWnYL+mvZvaKu/9zkwd0n07Qp4m6uroua7D7QlVFKRBOaVReo6bOIiJSNGa2G8H19FygAbgNMHc/qtsDRTayflRnZb4iEh2bbaNiZv9O0PfnOuAXwJvhXIA9tQTYMWd9NMFUC505B5idu8Hdl4a/3wLmsGH/336huiIBEAxwlaxVU2cRESmmRcDRwEnuPtHdfw6kN3OMSCeCzFctnUUkSvL5yLoaOMrdJ7n7kQSjLF/TC+d+DtjVzMaFNcrnAPdvXMjMdgeqgKdztlWZ2ZBwuQY4nK77BhdNdTJIfFc0BiM7r2lbQ0uqpchRiYjIIHU68CHwmJndZGZH03nrK5FuZaczimk6IxGJkHw+sZa5+5s5628By3p6YndPAV8G/kQwddLt7v6qmf3AzHIHzjoXuNWzn7KBPYG5ZvYy8BhBH99+l/iOCBPflWFTZ9DIziIiUhzufo+7n03QdWkO8FVglJn9ysyOLWpwEinr5/HVfRMRiY7uBrfKetXMHgJuJ2jbcibB1EOnAbj73Vt7cnd/CHhoo23f22j9sk6O+zuw79aet1ASJTEqh5SwoqmNCclgLt/lzcsZPXR0kSMTEZHByt0bgVnALDOrJriufwt4pKiBSfQo8RWRCMkn8S0D/gUcGa7XA9XASQSJ8FYnvoNBdUWClY1t1JaPAlA/XxER6TfcfQVwY/gjkh/PABrcSkSiZbOJr7tfUIhABqqqilJWNLZTVVZF3OKa0khEREQiLaNRnUUkgvIZ1Xmcmf3UzO42s/uzP4UIbiCoTiZY2dRGzGKMLBupPr4iIhJJZjbDzJaZ2fzNlDvIzNJmdkahYpMC0+BWIhJB+TR1vhf4NfAAkOnbcAaeqoog8XV3TWkkIiJRNpNgWsPfdFXAzOLATwgGrpQBKjvaqCp8RSRK8kl8W9z9uj6PZICqrkiQSjtrW1PUltfy8vKXix2SiIjIFnP3J8xs7GaKXQzcBRzU5wFJ8WRrfOOq8RWR6Mgn8b3WzC4lGO2xNbvR3V/os6gGkKrcKY2SNaxqWUV7up3SeGmRIxMREek9ZrYDcCrwMTaT+JrZVGAqwJgxY/o+OOlVrsGtRCSC8kl89wU+RXAhyzZ19nBdNqO6Ikh8VzS2UVtei+M0tDSwbcW2RY5MRESkV/0M+Ka7pzc3v6u7TwemA9TV1Xm3haXfcQ1uJSIRlE/ieyqws7u39XUwA1FVmPiubGpjVE0wl299U70SXxERGWjqgFvDpLcGOMHMUu5+b3HDkt7mYS9fiynxFZHoyCfxfRkYASzr41gGpOpktsa3nb13rAHQyM4iIjLguPu47LKZzQT+oKR3gFKNr4hEUD6J7yhgkZk9x/o+vu7un+i7sAaO8kSc8tI4KxvbqC4fRYyYRnYWEZHIMbPZwCSgxsyWAJcCpQDufkMRQ5MC87Cts6HEV0SiI5/E99KcZQMmAuf2TTgDU1VFKSua2iiNlTKibIQSXxERiRx3z/va7+5T+jAUKbJsU2fV+IpIlGx2HHp3fxxYDfw7wRx+RwO6s7sFqisSrGwMukjXltdS36TEV0RERCIqO51RTNMZiUh0dFnja2a7AecQ1O42ALcB5u5HFSi2AaMqmeDNZesAqE3W8tqK14ockYiIiMjW6WjqrLxXRCKku4+sRQS1uye5+0R3/zmQLkxYA0t1RYKVTetrfBuaG0hn9KcUERGR6FJTZxGJku4S39OBD4HHzOwmMzsaNIrB1qhKJmhpz9DclqamvIYMGVa2rix2WCIiIiJbzN3JuKHZjEQkSrpMfN39Hnc/G9gDmAN8FRhlZr8ys2MLFN+AUB3O5buiqY3aZDCX77ImzQ4lIiIi0RPOZqQaXxGJlHwGt2p091nufiIwGngJ+FZvnNzMJpvZa2b2pplt8phmNsXM6s3spfDnwpx9nzGzN8Kfz/RGPH2lKkx8Vza2UVseJL6ay1dEREQiyYNxnZX3ikiU5DOdUQd3XwHcGP70iJnFgeuBY4AlwHNmdr+7L9io6G3u/uWNjq0mmGapjuDG4/Phsf2y/XB1MqzxbWxjt21rACW+IiIiEk3Zwa1U4ysiUVLM8fgOBt5097fcvQ24FfhEnsceBzzq7ivCZPdRYHIfxdljVRWlAKxsaiMRTzA8MVxNnUVERCSiHMeU+IpIpBQz8d0BWJyzviTctrHTzWyemd1pZjtu4bH9QuWQEkrjxorsXL7JWtX4ioiISCS5ZxPfYkciIpK/Yia+nX1c+kbrDwBj3X088Gfgli04NihoNtXM5prZ3Pr6+q0OtifMjKpkgpVh4ltTXqPEV0RERCIp+4XLVOMrIhFSzMR3CbBjzvpoYGluAXdvcPfWcPUm4MB8j815jOnuXufudbW1tb0S+NaoqkiwIpzLd5vkNtQ315PxTNHiEREREdkq4eBWIiJRUszE9zlgVzMbZ2YJ4Bzg/twCZrZdzurJwMJw+U/AsWZWZWZVwLHhtn6ruiLBysZ2AEaWjySVSbG6dXWRoxIRERHZQsp6RSSCtmhU597k7ikz+zJBwhoHZrj7q2b2A2Cuu98PTDOzk4EUsAKYEh67wsx+SJA8A/wgHHG636pKJnhlSZDoZqc0qm+up6qsqphhiYiIiGyRcDKjYochIrJFipb4Arj7Q8BDG237Xs7yJcAlXRw7A5jRpwH2ouqKUta1pmhLZdimfBsAljctZ7eq3YocmYiIiEj+XDW+IhJBxWzqPKhUhXP5rmxqoyYZzOVb31ycwbZEREREtl4GV42viESMEt8Cqa4IEt8VjW2Ul5RTWVqpxFdERESiR4NbiUgEKfEtkKow8c2d0qi+SYmviIiIRIuaOotIFCnxLZDqsKlzdkqj2vJazeUrIiIiEeS45vAVkYhR4lsgw8tLidn6Gt/aZJD4um6bioiI9MjKxjb+Wb+u2GEMGvrqIiJRpMS3QGIxY3gywYpwLt+a8hpa0i2sbV9b5MhERESibebf3+Hoqx/XzeSC0XRGIhI9SnwLaGRFgpU5TZ0hmNJIREREtl48FiRh6YwS30LQDQYRiSIlvgVUlUywIqepM2hKIxERkZ7qSHyVkBWE45rOSEQiR4lvAVVXlG5S46vEV0REpGdKVONbUOZoOiMRiRwlvgVUVZFgdXM76YxTUVpBWbxMTZ1FRER6KFvjm1LiWxBq6iwiUaTEt4CqkwncYWVTG2ZGbbKWZc3Lih2WiIjIZpnZDDNbZmbzu9h/npnNC3/+bmb7FSq2bOKbUeJbIBrcSkSiR4lvAVVVBHP5dkxppLl8RUQkOmYCk7vZ/zZwpLuPB34ITC9EUKAa30JTha+IRJES3wKqDhPf7ABXNeU1SnxFRCQS3P0JYEU3+//u7ivD1WeA0QUJDI3qXHga3EpEokeJbwFVJcMa36b1Izs3tjfS1N5UzLBERER62+eAP3a108ymmtlcM5tbX9/zQR41uFWBuWtwKxGJHCW+BTQiWQrAisZ2IKjxBY3sLCIiA4eZHUWQ+H6zqzLuPt3d69y9rra2tsfnjJkS30JSD18RiSIlvgVUGo8xrLxk0ymNmpT4iohI9JnZeOBm4BPu3lCo85bElfgWkruaOotI9CjxLbCqZKKjj+82yW0A1M9XREQiz8zGAHcDn3L31wt57ngs+Dqjwa0KRX9nEYmeoia+ZjbZzF4zszfN7Fud7P8vM1sQTo3wFzPbKWdf2sxeCn/uL2zkW6+6ItExqvOwxDBKY6Vq6iwiIv2emc0GngZ2N7MlZvY5M/uimX0xLPI9YCTwy/DaPLdQscXV1LmwVOMrIhFUUqwTm1kcuB44BlgCPGdm97v7gpxiLwJ17t5kZhcBVwBnh/ua3X1CQYPuBVXJBO+tCAazMjNqymuU+IqISL/n7uduZv+FwIUFCmcDGtW5sNzBlPeKSMQUs8b3YOBNd3/L3duAW4FP5BZw98fcPTvkcUGnRugr1RUJVja1kwkvzrXltSxvUlNnERGRraVRnQtNNb4iEj3FTHx3ABbnrC8Jt3Vl46kRysKpEJ4xs1P6IsC+UFWRIJNx1rak4P+3d+fxcVxVosd/p/dFaqklWbYs2fISW7Zjx0ucEDuJSchCEkLyJisQIMzA4wETYBhm5iUDwzDsAxPeZGZYJ0AChMAQCIQkkJB9dRLH8Rbv+y7J2qVeq+u+P6rkKLIky7HUrZbP9/PpT1dX3eo+fbu6qk7VrVs4tzTSM75KKaXUW9d7xtey7QJHcqrQxFcpVXwKmfgOtMYc8FCtiLwfWAp8q8/oqcaYpcD7gH8XkZmDzDui9wo8WRXuvXxb3Z6dc3aOvZ172XBkQyHDUkoppYpWb+JrGz3jmw9azUqpYlTIxHc/MKXP6zrgYP9CInIx8DngKmNMune8Meag+7wTeApYPNCHjPS9Ak9WPNp7L98MW1q3cN/W+2hONvPJJz7J+ub1BY5OKaWUKj69TZ2tnGZk+aH1rJQqPoVMfF8BZonIdBEJAO8B3tQ7s4gsBn6Ak/Q29RkfF5GgO1wFnAv07RRrzKqIOmd823oybGzZiIgQ9AbpSHdw27O38V+v/RdrmtZg2VaBI1VKKaWKg0ev8c0rPeOr9zuOhgAAIABJREFUlCpGBevV2RhjicgtwCOAF/ixMeZ1EfkSsMoY8wBO0+YS4NfidB+41xhzFTAX+IGI2DjJ+zf69QY9ZsX7NHVeOGMeIW8Ir3ixsVleu5zVTat59sCzxAIxlk1exrmTz2V2fDai3ScqpZRSAzrauZVmZHmi1/gqpYpPwRJfAGPMw8DD/cZ9oc/wxYPM9wKwYHSjGx0hv5dwwEtbT4aGigZuv+B2NrZsZF7lPBoqGsjmsqxpXsNzB57jib1P8MjuR6gOV3Nu7bmcW3suU0qnHP9DlFJKqVOI52jnVpr45oUZuKMWpZQaywqa+J6qKiKBo51bNVQ00FDRcHSa3+vnrElncdaks0hkE6xqXMWz+5/l99t/z/3b76c+Vs95teexfPJyqsJVhfoKSiml1Jhx9IyvXuObJzZGW6IppYqMJr4FEI8GaOvJHLdcxB9hRd0KVtStoCPdwQsHX+C5A89xz6Z7uGfTPcytmMt5tedxTs05lARK8hC5UkopNfZ4talzXjnVrImvUqq4aOJbABVRP1sOdzsvDm+AQ2ugZhFMmj/oPGXBMi6ffjmXT7+cwz2Hef7A8zx34Dn+e/1/85MNP2Fh9ULOm3wesa4mth14gXlT307DrHfl6RsppZRShePVzq3yTOtZKVV8NPEtgHgkQFsigzm8Hrn3vZBsBTxQfy6Ey2HOFTDvakh1wEOf7dd9omHS/Ou4ds61XFNzHrsf/jTP5Vp5vvX3PL/xXg7YWQIYYnv+yB2gya9SSqlxz6eJb34ZtHMrpVTRKeTtjE5ZFdEAGcsms+cV6GkG8QIGrKST+PrCTkHxQLQaSiY6j9JJUFoDgagz2etnenwWH6haynerL+RSieE3Bks8NHng9rXfZWPTeow2/VJKKTWOeT3O7owmvvlh9IyvUqoI6RnfAohH/GAMbfEzmBStBmzwheCdX3tzc+dgKVz2tcHfKFIBl34ZcI5gXLztIf747K2kbcgIdKfa+Jc/fZiZ1Qu5csGHeFvNOXg93lH9bkoppVS+eUV7dVZKKTU0TXzzzcowb/N/cmkamiJ/x6T33jusa3yHo2HWu7gd2Lj3aeZNfTvTvFGeefHfeOjgq9zRspEJlQ1cPvta3jH1HYR7zyorpZRSRc7rdRJfWxPf/NCWZEqpIqSJbz4l2+DRzxM/uA6bC2ntyUDD/JNOePtqmPWuN13Xe0n9uVy04X5efe2HPHRwHT/tPsR9W+/j4vqLuWzaZVSGK0fss5VSSqlC8Ol9fPPMgN7OSClVZDTxzZe2PfCnW6HnCLl3/DOP/TnE1MTxb2l00rx+PAtv4KyGd3LW6p+xfdo5PHjoOR7cdj8P7fgDy2vP48oZVzKtbNrox6KUUkqNAo/0dm5lFziSU4Qx2rmVUqroaOKbD5kE/OFTgMC77yBUPRf/Ey/Q2pPNXwyhMlh+C6cBf1NzJk17N/DHjt08kf0zzx54lgVVC7hyxpUsnLAQ0aO4Simlioj26pxfWstKqWKkiW8+BCJw3mdgwhwonYTg9Ozc1pOHM74DEaH6rI9x84vf4bqmHTxeUc0fW7fy9SNfp66kjitnXMl5tefh9/oLE59SSil1Ajza1Dm/jAE946uUKjKa+I4W24aXfwjVc2HG22HGBW+aHI8EaM1HU+fB1C2Fa39EdPODXLXqx1zeupsXl76PB3t28v113+fezfeyqHoR8VCcJdVLaKhoKFysSiml1BD0jG/+XP/9F7g+kYVgoSNRSqkTo4nvaMgm4YmvwO7nYOF7nMS3n4pogL2tiQIE14fHA/OugtMuwr/hN6w440bO9wbYsPMRfrbvz/xo/Y8wGCK+CP+07J+4tP5SbQatlFJqzPH2Jr7a2/Coe2V3Gzf4tHMrpVTx0cR3pHU3wyP/CC3b4dxPwfxrBywWjwZYs689z8ENIhCFJR8EQOwcC16+m2XZZl4RH5aBnmwP3171bR7d/SgX11/M+bXnUxIoKXDQI2fLtoeO3gKqb4/YSimlikNv4rvnSIK0lSPo03vWK6WUejNNfEdSsg1+93HI9MBlX4ep5wxatCISIJHJkcrmCPnH0Aba46Vz2d9T+fBtRPwdZEWIIlxYtoB2r5+7Xr+Lezbdw/LJy7lo6kXMjs8uyFngza2bWdu0lpnlM6krrSNlpUjn0kcfva9TuRRpy31OtZNOtJJOtZFOd5JKd9KcbuWVVCO2Af/eh3n3uh8zp+YsKuMzqKxsoDI6kYpQBQFvIO/fUSml1PB43e3Qr1btoztj8Z33LSlwROObU916xlcpVVw08R1J4TjMvRKmnQ+VM4csGo86iVRbIkNNWTgf0Q3Ktg1bm7pYtbuN1Xva2NaUYFnHmfyTbGF70MuidDevHmply5SPs6xiFwnraV7c9yxP73+aqaVTuaj+IlbUriDij4xajOlcmu1t29nYupGVB1fy1L4nMSaH4KEuNpWQLwQ5C3Jp59nOgm2BnYOyWnziI9h5kGCygxAQRAiJjxQWAkRESBible1bWNO5w/1UgWAJxCZTGiil0obKcBWVZdOoLJlERaiCqnAVlaFKKkIV+L1+trRuYWPLRuZVzhvX10XrWXKl1FjS27kVwJ82HC5gJONXMpPjX/+0GQDBaM/OSqmio4nvyTIGNvwGJi92kt0zPzSs2SqiTo/JrT2FSXw7EllW723j1T1trN7bRlfKwiMwe2IpHzinnrrMpdQ+dj9Ts1lyUk7p0r/gNCnBv2Uz13evJOMxvFhWySvlCX7QtIl7Nt7D8trlXDL1EmaWzzzps8CJbIItbU4Subl1Mzvbd2LlMkgugyfdTchKU2obEiIsj83igrnXE9z4B0I7nnSSWjwEwhWESiYSvOw/8PmCcGgdpLugZCKUTIBgjC3bH+azz95K1hhK8fDN5V9ievlptBzZSEvrNlq9HlomzuVIspnW1XdxxE6zBZturw98AQiWOreKAnxG2Na+A2PnCPpCfOrMv2FZ7TJqojX4PIX/q/Um5XMr5zItNo2MnSGTe+ORzqWdYdsZzmYSZMQ4w217SPc0k850cbB9Jw91bSUH+Pb+kWsOPs/08AQi4icanUA0Wk04Wk0kGCPiixD1Rwl6g0MuE3rAQCk1UnK2YV9rgikVo3cw9lSTyub4yQu7uOuF3YUORSml3rKC7o2LyGXAHYAXuNMY841+04PAT4EzgRbgRmPMbnfabcCHgRzwKWPMI3kM3ZGz4Pl/h01/gPnXwLmfHvas8Yh7xjdP9/K1bcP25m5W7W5j1Z5Wtjd1YwyUhf0snVbB0vo4i6eWUxrqvYXRFHaW3cWhbS9RNettXDP/bQBYl36Onduupu31Z5i7/yXO372FPT4Pt1cv5DcdT/LQ5oeYXTGDy2Y5t0Qa7lngjnQHm1o3sbllMxub17G3fQfGSuHLWcyoOZMrZlzBvNaDzN7wB/anW/lsxCYrQsw2/C9vBQ01b4PQJJh3g5PYRqvA068Jec0Zx3xuw6x3cTsck4zU1Cygpm9BY2DKpdC2B9r3kmrdQWvbTg5VzWFb1WL2tx1g5+t3IAEbH5CwM3x35bf4ebgaf6iUKaWTmRaro75sOnWldUwpnUJ1pBqPeE7odzweYwxd2S6aeppoSjTRmGjkcOIwW1u38vz+Z7BsCxGhLlRFyOM7mrSTaINsj3OG3M6ByYF4oXKG+wPtx5PpIYDQblukPBBASACPHnyWmJUFK/XmYAJRKKsDwNNzhKj4CPsiRAMlRIMxIuEqIqWT6Mn08LutvyWXyxLyhfnn87/E0olLifqjBe1MzTY2azb/lrV7n6a+5kzqpizHsi0yuYzzbDvP2WySbKaLbLobK9tDNttDNtNNtqyOrAjZ9r1k23bS2NPIU+lD2IBv70NcsedP1NYsJZjsIJjqIOAvIRQsJRCMEQqWEYxOJOgPE/QGCXqDBLwBZ9gXxO/x88TL97Fm15Msmn4h7zj7uoLV00BOJME3xmAbG8tYWLb7sDJY2Fi5NFs33sfO5vXMqTmLhtMux+8vJRCI4PcG8Ir3hJYRPfBwckTkx8CVQJMxZv4A0wVnm34FkAA+ZIxZnd8oHed/80lW3nYRE0qDR6//VSfOGMOTW5r4/P0bONjRdx2vnVsppYqPmAL1gCgiXmArcAmwH3gFeK8xZmOfMp8AzjDGfExE3gP8hTHmRhGZB9wLnA1MBh4DZhtjckN95tKlS82qVatOPvjDG2DfSqfX5tZdsPj9sPTDTi/Jw9SeyPCBH73M/14xg6sWTj75mFybDnWy/kAHC2rLqI2HWb3Hab786t42OpMW4p7VPbM+ztL6ODMnlLypidiJamtrY+uWdTzTMZFVexpZ1v0ltoaOsC/oxx+IcfakZVy75IPs27H+TTvpzYlmNjW+xuaDL7EpeZiDqSOQSRDoOsxsyzDHeJln+zjNGyX4rtth0gLoPAjte8FKseXhz7BRLObho+Han8GkY/bB3lKdza2JvWlad9qiqTNFY2eapq4UzV1pGvu87kk7i1zQpLg4cQcPVG4nK4LfGD7cavNM6FLWBCcSkN1MMa/Q4vNie3zg8eH3hqgsPY26ynnMitcxr3IaU+MziAfjR3fmB0puLNviSPIIjd2HaUo20ZRsprF1G4fbd9KUbCFpJZ1m3iYHsTrKQ+UkmzaxLd1CibFJivCOXIDlngj+i79M0BcksPVRAkd2EAjGCIbKCATLCUQnEJh/DUFvEH9XIz7xIOFytux9lr997jYyxhAQ4dvnf4MZ1Qvp6dxPT08jie4mepLNJHwhumsW0JbsJvXaT0gkjpDIpekRQw+GlkAF+0O1dKb2kDJH8OIcxSozAUq8UTz+UqLRaVSE4kyyM0yITmRi2WRqK+qpLJ1MZbiSWCB2TOIzVEJojCFpJelId9CWbqM93U5HspX2rgO0J484w+l22jMdNGa62NtzEGMMIlDnjRASHxjbecQmgy8IqQ7oeqNppQA+BH9VA/5gDH+iBX/HfhpzabZLloCBtEBdqJLy+AzSHfuxE0eOXTCrZoF4oOcIJtWJEQ8GD0aEVM7isHF6hfcCC/311MdPoywUpzxSQbxkApUV0ykPlVEaKCUWjFHiLxn0QMtwk2jLtujJ9tCd7aY70013tpueVDtdyRa6U+10pzvY07yBx5pXk3PrYknJFCL+Eiw7S87OkrWzWP4I2VCMnMlhtWzHGNs5uNRbt+E4lEwglWxjf/dBDAZBqDNCSLwQqYJoJR7bxt++D7/Hi9/jx+/xEfD48cfq8JdOImDA17EfnydIR7KVp9o3YmPw4eH6mdcxu+4cyrxeoqEKosEy56CMP0rEHxnWQaknXr6P6979we7WxkTpcQuPAyKyAugGfjpI4nsF8EmcxPdtwB3GmLcd731Hats87daHjhm3aEo5V55Rw8Ip5Zw+OYYghANjqF+NMSBnGzKWTWNnCq9HONSR4pmtzRzpTvPgukN0p61j5rnd/10uCG2n8nNbChCxUkoNTUReNcYsPWZ8ARPfZcAXjTHvdF/fBmCM+XqfMo+4ZV4UER9wGJgA3Nq3bN9yQ33miGxcD2+AX70fug87O2gX/wuc8/ETfhvbNvzF917gmsW13Lx82snF5Np0qJOP/nQVXWkLK2eYXBYi6PcSC/s4c2qcJfVxFk+NUxb2H//N3gLbNuzZto5D65/m0KFn2GR2sDaYo9Xrp8ubxm+ca4Kme0uwyIFtEUGYU3M2c2e9izn+cqZvexp/5UyIT4P4dOfs7UAHFA5vgENroGbRSSW96w+08/GfryaVzSECVy+cDAhNboKbyLz5WErI76G6NER1LMjEWIjq0iDVpSEmxoKk96+j9ZGPsCNgMzPjIX7pDwhOPp3mhKH9yAFKdz1Cuusg7an9dFjNtHs6eSrcQKPPJkALE+xmbLwEJcgET4yA8bCa/eTE+Y8u8k1A/B5arAR27/XLFTPw+8NUp5NUt+5hovFQLQEmBsuZGK5iwmX/RihaxZY//T2fPfAwWfHgNza3T7uGhmWfcRKMEzhqb9uGVXta+dZ9d1LiWU+HdTqXvO0GSkI+OpNZ55HK0pm06Ehm6Upl6XtbTZ/JEjOdlNhdePwhkqX1TGm7h5XRR0mL4MVwVWcQIczrgVrWB+ox0s6s3Mt0esDufSMRur1lpHyVlHhLmJluotRXSs5K8bLZ5ZYTFlW8nQnlFaSa19CZS9KeS5I1lnOf7ZIJTlP1TAJPxz7KjIdyhDIjlBsPe2JVvNCzj1Ij9GBxjYnyjrK5+AMR/P4o/vnX4a+Y7hwUaNxIIFSGL1iGLxhDgiUQqwVfgIxl05O2ePKV3/CD7V8lh8FrhKsn/i0Tay8llegk091MOtlKOt1BNt2Ole1ktXcuyWyGuvQ6Jud24ZE0HlJAhr3+FtaEc/iMh4zYTMsYIsZHwuMk1bZ4OOCtRYBK00LIpAEPIfxEJEDAW0qibAkl/lJCLa+y2tqADXiAFcEG4vEp9JTXkbYTZJrWkMh00mWnSdmWs97zh6F0kvNbtOwA28IDRI3QabLs9hgCeMhiWJjzMEeCeAGfx4/P68dX2YBv2rn4PD58mx7E7wng84XweAOIJ4Qpqydb3sBLa3/CC91rCdtCwmNYxiRmxhbQGpxIa6AKK93OhJYXsHIZcnYG22SwTJY9gXoOearwWx3Mzq4lCzT6LPb7nQMFWYSAHUGIMTHXdLSPHoMHxEOnrxLbV06JgUmZI4Q8AUKeECFPiLA3jBVfQEf3YVZ3PsxrX95J5+7kKXPqS0SmAQ8Okvj+AHjKGHOv+3oLcIEx5tBQ7zki2+btj3HnXXcOq2hJ0Ed5JIDfK3g9QjTgw+sRcrYhEvDi9QjZnE3I78XnETI5Q8jvwSNOGY+A1+PBNgaPOO9h2wbE6V3aGOe+wra7zevdzfKIs6hZtjO+9zONcYYt23aGRcgZQ842znsbg20bvF7nvVPZHH6vB9tA2h0GSGZz+DyCCCQyOUQErwiJjIXtxtSTcfYPRKAzmSVt2WRy9gnf//gCz1riQUPl5zaf0HxKKZUPgyW+hWzqXAvs6/N6P84R4gHLGGMsEekAKt3xK/vNWzvQh4jIR4GPAkydOvXkoz60xjmbFih1zsYE39qBfo9HiEf8tPZkTj4m170v7+VwZwqfx4MILKgr4/+8fSanneRZ3eHyeITpDQuZ3rAQ+BSdnW1sXv0YP9hyJ2u9B0iJB7CRRJKFpoGa6BwmT1hIfMoiJldMpqYsjHfqiuF92KT5J5TwWjmbg+0p9rYm2NuaYE9rD/taE6zf30GjW2eWbfP4pmbm1caYWBpi3uQYE2NBJrqJ7oTSELGQb/CmlRPPZWfwLkJu8/AZbvPw2QCnVcE5C99UPJnKcENXiuaERePBDXTu+RONib20ZJtozXaw2ddNl0/w4NRbU6KFeivObCop9ZYTC1TT7Xs3VeXTmOhPUjXdoiQ+gfLyOPFokIDvjQMGDYtu5htbH2UDWebjp+H0GyFSAbjNo9MW7T1Z2hIZ2hIZ2hO9w1k63Oe2RIbOZJYj3Rmauhbg8yzEsm0aV+6hsiRAachHWdhPLOSnLh5m3uQYsZCPWNhPLOw/Oq0s7CcW9h293cjODTYXPvAIOwI5ZmY81F31faaffjaprO0k0T0pMo2bSXU20959mPaew7Snmtjpq2SXp4R0+hCS3sbhTBMHfRm6vE5yYwGrW1bjOzKNMzKNhE2QuIkQ8UQIe0po852DHVxATdRLg2c7wUgMf7iUYLSMcDRGU9c61q/9ChlsonhZvPg2mHgRHZkcPWmLnjaLxOEs3ekYicxSutPu+IxFT7qFRKaJnrRFNufsULb2TCSavpFJkU00JeZyT8s0KvbsxuMRooEg0eAUSoLTiZR5KQn6ODfgIxr0Eg2eTzToIxrwEg36KAn62LT1QXbu+Do5bKIGrq+/hTm155BNdpFKtNKW7mZndCbt6U6izc9gkvtI5npI2QmSJkmHlWRX2z4ypocSs+VoneWAlaktxPbvZ/+hBjwmzPxsJ+V2hjITIihBgp4wln8yB/0XUBooZX5gLeVeP+FgGf5gCXvb1vHz7t9giU3UCAvKPkLF5EvptrykLOjMWqSzNslNOZLZHKlsA8lsjnTWJmXl6HssNpRcSDi+lpwYIjbsaruUTYlzASeJCAe8tPnfTjjsJez3EvQ7z4sDHpb7vYR8HqJei6gny+atD/FE5qdYAl5jWBp+P/OmLiLYtJJUtpO01U3S6iFjJ9jmn8kRT4RAeh9lmcNkSNJFC0fEIi02e5P7ydFJxiN4tIefvgbartcCxyS+I79tXsuN3qeGV9YCOk/+I8cNwVkBnKDt4WVUjngwSik1egqZ+A6UPfTfhRiszHDmdUYa80Pgh+AcVT6RAAdUs8hp3og4nRvVLHrLb1URCdCWOPnE17YNd7+4mxd2tBDyOzvNIb+Xj5w/g9kTC9cCLxaLc/YF19MdEfav+yJZbPxGWDThk2Qi57GypYdDO1OYHYeBw/i9wpSKCPUVEeoro0yrijC1IkpVSWDY1/HlbMPB9iT7WhPscZPcvS0JDrQnjx7RFoFJsRBTKyJMr4xy3+r9AIT8Xr5z02LmTS57y995xvw3Et7jCYcCTA0FmApQvwKWvTnp//OLv+Sbr3+FnFtvF9R8htjEi2jvydCayLC/J0NrY5aOXQf7nFXtOjp/SdBHRTRAPOrHtg072m9hjr2T3zCDmiezeD1rjia39gBH+31eoTzsJx4JUFUSZFZ1CeXRAIm0xU+e341tDEGfh2/fuIgzp8bf8sEVp76OPWAQDngJB7xMjIWgZvBbg/X1yAv3cvvGr2ABfgM31n2MqfWX0Z226EpbdKcsutNZ2lLu61aLHWmLR9Kz+tRhFmghmZ2Et/tGqkMbOZKax790VBL2rz/mMwM+z5sS01jIz6RY6Oi4iJustvRk+O6Tho7sMgIhD/923Rksnhon6POc8LXM82tvojIaHOY1vpcNXWfP38Ptm75GViBg4Oa6z3La7KtJWjbJjEVP2klQk5kciUyORMYinc0RzuTo6srxeGYFiYxTxhho7akgmvYfTfB/2TKfquYWIn4vIb+HcMBLyOclFPAyIRQk7Hd+56DvjWnhgJPANnZO5b6nDDHfBrpyC/j0NX/Fgtpywn4vfq+cUL3NmjaV137hIepZS4+9kPdf+SH30oZhHmxzWVaORDbLIy//ih9u+yY7TplzvcNSuG3z+Z9lwUNzhlW0qiRIVUmAimiA2vIw2ZxNSchHdWmIZDZHwOuhsiRAOmsj4vTJYRuDiBD0uWd+jSHi9yIC2Zw52nzaytn4vR4ylo3Hw9EzwoKQtW1yOUPA58Hgnq11D1CmMjl8Xg8e92xt73XJva2RjHG2b0n3FojdKQvbGEJ+L10pi4xlEw166UxZpLI5ogEfHcksiYxFyO+lM5U92ollV8qiK2U56/+eDD2ZIa8SG9S7aybzn29pTqWUKoxCJr77gSl9XtcBBwcps99t6lwGtA5z3tExaT5cf/eINLONRwM0dqaOX3AIqWyO2x/dwsqdrVy7pI4Vs6p4/VDngNerFkrvTvlAO+mpbI79bQn2tPQ+elh3oIMntzQfLRMJeKmvdJLh+soI0yqjJDM5XtvXRizkRwT2tDhJ7oH2JFbujQS3ujREfWWEs6dXMLUiwtTKCHXx8NGzjQBXLpw86DW+hXTJsvfg9fqOm9zYtqEjmaXV3Ylp7XHO2ra6Z3BbezK8fqCDHela1nmmYBuD1Zpg4ZRyplVGiUeds7DxSIB4JEB5xE95xE9JcPCz2ytmTxjROjuRAwZDeefy9+L3+U+40yfb3aHsTjs7hN1pi4fWHeK3q99GwiwnITmunVPNFQtq3khmAz4iQe/RZobDsbQ+PmL19o6zrxuRTq3eee5N+P3DTaIHZ4whbdms2dfO3/8adljLCUQ8fO+9izmjrvwtx7dwyidGpM7m1sT4wvv+z0m/l8/nJebzcv3bb6YyHOW65Ae733JQ40/hts2DmBgL8umLZjNvcoyw38v0qig+j+SlFVSxSGQsUlkbAV4/2ElXKkt7MstjGxt5fHPToPNlLXvQaUopNRYV8hpfH07nVhcBB3A6t3qfMeb1PmX+GljQp3Ora4wxN4jI6cAveKNzq8eBWXnr3GqEfOfJ7byw4wj3fGR4Z7P6O9Kd5isPbmTXkR4+fP4M3n1GTUF7wR1JXans0WR2d0sPe1uc596zT3tbE26nQ8LUigjTKiNMqYgwtSJCfaXzXBePEPJrJybgXP/9iXtWk7Vy+H1evnvTkjGV5I9FWmdv3VAdxo03g11HNF4d5xrfdwG38EbnVv9hjDn7eO85Gp1bTa+Kcuvlc3jn6ZNO+n1PZe2JDDuP9PDj53bx4Lo3t1i/eG41d958VoEiU0qpwY25a3zda3ZvAR7Bubrkx8aY10XkS8AqY8wDwI+An4nIdpwzve9x531dRP4H2Ihztc5fHy/pHYvikQCdSYus2zTqROxo7ubLD24kkc7x+Svncda0ilGKsjBKQ37m15Yxv/aNZsfGGFp6Mvzk+V384qW9xMJ+Utkcf7l8GjedU1/AaMe+uTUxvnvTklMmGRkJWmdv3dyamNbXOCQi9wIXAFUish/4Z8APYIz5PvAwTtK7Hed2Rn9ZmEjhtsvncKkmvSetPBJgydQAS94XpyS4jl++8sYl3JmcXuCulCouBb2PrzHmYZwNZd9xX+gznAKuH2TerwJfHdUAR1lF1OlduT2RZUJpcNjzvbSzhX97dAvRoI9vXLuAGRNKRivEMUVEqCoJcuUZk3l4/WGyVo5IwMeS+nihQysKmoycOK0zpd5gjHnvcaYb4K/zFM6gfvnRczhnhna7NNK+ce0Z/PrV/Uf7y7By2tRZKVVcCpr4nurikQAAbYnMsBJfYwwPrD3Ij57bxWkTSvj8lfOoiAZGO8wxR8/EKaWUGowmvaPnmsW1/PpVp0PIrCa+Sqmtjy88AAAPiUlEQVQio4lvAfUmrcO5pZGVs/nBMzv504bDLJ9ZyWcumX1KX7+qZ+KUUkqp/PraNQs4Z0Yln/31Wm3qrJQqOpr4FlDcTXzbjpP4dqct/vWPm1mzr51rl9TywWXTtEdKpZRSSuWV3+uhpjwEaK/OSqnio4lvAcUjAUSgdYh7+TZ2pviXP7zOgfYUn7poFpfMm5jHCJVSSiml3hB07z1s2Zr4KqWKiya+BeT1CGVh/6BnfDcd6uSrD20iZxu+fPXpJ3UvTKWUUkqpkxX0OZdZZbWps1KqyGjiW2DxSIDWnuwx45/e2swdj22lsiTIP797HnXxSAGiU0oppZR6Q8A946udWymlio0mvgVWEQ3Q1qepszGGX76yj1+8tJfTJ8e47Yq5lIX9BYxQKaWUGvteuPUdiHZ/MeqCmvgqpYqUJr4FFo8E2HWkB4CMZfNfT2zjyS3NXDinmlsuPO3okVWllFJKDW5yebjQIZwSevdLLG3qrJQqMpr4FlhF1E97IkN7IsPXHt7EpkNdfOCceq5fWofooWullFJKjSG91/hm9IyvUqrIaOJbYIlMjiPdGT5y9ypsY/iHyxo4f9aEQoellFJKKXUMPeOrlCpWmvgW0KZDnfzk+d209KRp7Unz7RsWadKrlFJKqTEr4HUSX70USylVbDTxLaD1BzrwCFRGg4hAV9oqdEhKKaWUUoMK+Dz84xVzuLChutChKKXUCdHEt4AW1JYR9HvJWjn8Pi8LassKHZJSSiml1JA+umJmoUNQSqkTpolvAc2tifHdm5aw/kAHC2rLmFsTK3RISimllFJKKTXuaOJbYHNrYprwKqWUUkoppdQo0p4JlFJKKaWUUkqNa5r4KqWUUkoppZQa1wqS+IpIhYj8WUS2uc/xAcosEpEXReR1EVknIjf2mXaXiOwSkTXuY1F+v4FSSimllFJKqWJRqDO+twKPG2NmAY+7r/tLAB80xpwOXAb8u4iU95n+98aYRe5jzeiHrJRSSimllFKqGBUq8b0auNsdvhv4X/0LGGO2GmO2ucMHgSZgQt4iVEoppZRSSik1LhQq8Z1ojDkE4D4PeRd0ETkbCAA7+oz+qtsE+v+JSHCIeT8qIqtEZFVzc/NIxK6UUkoppZRSqoiIMWZ03ljkMWDSAJM+B9xtjCnvU7bNGHPMdb7utBrgKeBmY8zKPuMO4yTDPwR2GGO+NIyYmoE9J/hVBlMFHBmh9yqEYo8fiv87aPyFV+zfQeMvvAZjTGmhgyhmI7htHg/LUz5oPQ2P1tPwaD0dn9bR8IxkPdUbY45pKTxq9/E1xlw82DQRaRSRGmPMITeJbRqkXAx4CPh8b9LrvvchdzAtIj8B/m6YMY1YU2kRWWWMWTpS75dvxR4/FP930PgLr9i/g8ZfeCKyqtAxFLuR2jaPh+UpH7SehkfraXi0no5P62h48lFPhWrq/ABwszt8M/D7/gVEJADcD/zUGPPrftNq3GfBuT54w6hGq5RSSimllFKqaBUq8f0GcImIbAMucV8jIktF5E63zA3ACuBDA9y26B4RWQ+sxzkt/pX8hq+UUkoppZRSqliMWlPnoRhjWoCLBhi/CviIO/xz4OeDzP+OUQ1weH5Y6ABOUrHHD8X/HTT+wiv276DxF954+A7jhf4Ww6P1NDxaT8Oj9XR8WkfDM+r1NGqdWymllFJKKaWUUmNBoZo6K6WUUkoppZRSeaGJr1JKKaWUUkqpcU0T3+MQkctEZIuIbBeRWweYHhSRX7nTXxKRafmPcmAiMkVEnhSRTSLyuoh8eoAyF4hIR58OxL5QiFiHIiK7RWS9G98xtw4Rx3+4v8E6EVlSiDgHIiINfep2jYh0isjf9Cszpn4DEfmxiDSJyIY+4ypE5M8iss19Huy+2ze7ZbaJyM0DlcmHQb7Dt0Rks7uM3C8i5YPMO+Tylg+DxP9FETnQZzm5YpB5h1xn5cMg8f+qT+y7RWTNIPOOhfofcN1ZbP+D8aqYt8v5NIx6+lsR2eiuEx8XkfpCxFlow11nish1ImJE5JS7Lc1w6khEbnCXp9dF5Bf5jnEsGMZ/bqq7bXnN/d8NuB0fzwbaP+g3fXT36Y0x+hjkAXiBHcAMIACsBeb1K/MJ4Pvu8HuAXxU67j6x1QBL3OFSYOsA8V8APFjoWI/zPXYDVUNMvwL4IyDAOcBLhY55iOXpMM5Ntcfsb4DTm/oSYEOfcd8EbnWHbwX+dYD5KoCd7nPcHY6Poe9wKeBzh/91oO8wnOWtgPF/Efi7YSxjQ66zChV/v+m3A18Yw/U/4Lqz2P4H4/FR7NvlMVZPFwIRd/jjWk+DrzPd9cAzwEpgaaHjHmt1BMwCXutd1wHVhY57jNbTD4GPu8PzgN2FjrsA9XS8/YNR3afXM75DOxvYbozZaYzJAL8Eru5X5mrgbnf4PuAiEZE8xjgoY8whY8xqd7gL2ATUFjaqUXE1zv2ejTFmJVAu7r2ex5iLgB3GmD2FDmQoxphngNZ+o/su53fj3D+7v3cCfzbGtBpj2oA/A5eNWqBDGOg7GGMeNcZY7suVQF3eAxumQX6D4RjOOmvUDRW/u368Abg3r0GdgCHWnUX1Pxininq7nEfHrSdjzJPGmIT7ckyvE0fRcNeZX8Y58JXKZ3BjxHDq6H8D33HXeRhjmvIc41gwnHoyQMwdLgMO5jG+MWEY+zejuk+vie/QaoF9fV7v59jE8WgZd6e6A6jMS3QnwG3qtRh4aYDJy0RkrYj8UUROz2tgw2OAR0XkVRH56ADTh/M7jQXvYfCd/bH+G0w0xhwCJykAqgcoUyy/A8Bf4RxRHMjxlrdCusVt+vPjQZrZFsNvcD7QaIzZNsj0MVX//dad4+1/UIzGzXZ5lJ3ocvhhBl8njmfHrScRWQxMMcY8mM/AxpDhLEuzgdki8ryIrBSRU/Fg33Dq6YvA+0VkP/Aw8Mn8hFZURnUbqonv0AY6Qtz//k/DKVNQIlIC/Ab4G2NMZ7/Jq3Ga3i4E/hP4Xb7jG4ZzjTFLgMuBvxaRFf2mF8NvEACuAn49wORi+A2GY8z/DgAi8jnAAu4ZpMjxlrdC+R4wE1gEHMJpLtxfMfwG72Xos71jpv6Ps+4cdLYBxo2136CYjYvtch4Muw5E5P3AUuBboxrR2DRkPYmIB/h/wGfzFtHYM5xlyYfT3PkCnHX8nTJIPxrj2HDq6b3AXcaYOpwmvT9zlzH1hlFdf2tlD20/MKXP6zqObZZwtIyI+HCaLryVJoqjQkT8ODtu9xhjftt/ujGm0xjT7Q4/DPhFpCrPYQ7JGHPQfW4C7sdpTtLXcH6nQrscWG2Maew/oRh+A6Cxt6mJ+zxQM6Yx/zu4HQ1dCdxk3ItJ+hvG8lYQxphGY0zOGGMD/83AcY3p38BdR14D/GqwMmOl/gdZd46L/0GRK/rtcp4MazkUkYuBzwFXGWPSeYptLDlePZUC84GnRGQ3zjWHD5xiHVwN9z/3e2NM1hizC9iCkwifSoZTTx8G/gfAGPMiEALG2v5eoY3qNlQT36G9AswSkenuGbv3AA/0K/MA0Ntr53XAE4PtUOebe03Tj4BNxphvD1JmUu+1TyJyNs4y0ZK/KIcmIlERKe0dxumgqH9PcA8AH3R7gjsH6OhtjjiGDHqWa6z/Bq6+y/nNwO8HKPMIcKmIxN1muJe648YEt+nV/8XZwUsMUmY4y1tB9LvG5S8YOK7hrLMK6WJgszFm/0ATx0r9D7HuLPr/wThQ1NvlPDpuPblNeH+As048Fa/JhOPUkzGmwxhTZYyZZoyZhnMt9FXGmIL0OF8gw/nP/Q6nszTcA/ezcTr2O5UMp5724vT3gojMxUl8m/Ma5dg3uvv0I9lT1nh84DRF2IrTU9vn3HFfwlnxgbPQ/hrYDrwMzCh0zH1iPw+necA6YI37uAL4GPAxt8wtwOs4vc+tBJYXOu5+32GGG9taN87e36DvdxDgO+5vtJ4x1uMiEMFJZMv6jBuzvwFOgn4IyOIcefswzvVxjwPb3OcKt+xS4M4+8/6V+1/YDvzlGPsO23GuG+n9L/T2+joZeHio5W2MxP8zd/leh7NhqOkfv/v6mHXWWIjfHX9X73Lfp+xYrP/B1p1F9T8Yr4+BlnGKZLs8xurpMaCxzzL+QKFjHov11K/sU4yxfYyxUEc4+2HfBja626n3FDrmMVpP84Dn3W3cGuDSQsdcgDoaaP8mb/v04n6IUkoppZRSSik1LmlTZ6WUUkoppZRS45omvkoppZRSSimlxjVNfJVSSimllFJKjWua+CqllFJKKaWUGtc08VVKKaWUUkopNa5p4qvUOCcinxKRTSJyzwDTFovIne7wh0Tkv/pNf0pElg7x3r8UkVPtJvVKKaXUiBGRchH5xBDTwyLytIh4hyjzmHvvcKXUIDTxVWr8+wRwhTHmpgGm/SPwnyfx3t8D/uEk5ldKKaVOdeU42+rB/BXwW2NMbogyPzvOeyh1ytPEV6lxTES+D8wAHhCRz/SbVgqcYYxZO4z3uUpE1riPLSKyy530LHCxiPhGPHillFLq1PANYKa7jf3WANNvAn4PICI1IvKMW3aDiJzvlnkAeG+e4lWqKOnOqlLjmDHmYyJyGXChMeZIv8lLgQ39xt0oIuf1eX2a+z4P4GxUEZH/AZ52x9sish1YCLw6Cl9BKaWUGu9uBeYbYxb1nyAiAWCGMWa3O+p9wCPGmK+6TZ8jAMaYNhEJikilMaYlX4ErVUw08VXq1FUDNPcb9ytjzC29L0Tkqb4TReQfgKQx5jt9RjcBk9HEVymllBppVUB7n9evAD8WET/wO2PMmj7TerfHmvgqNQBt6qzUqSsJhIZbWEQuAq4HPtZvUsh9L6WUUkqNrDdtq40xzwArgAPAz0Tkg33K6vZYqSFo4qvUqWsTblPm4xGReuC7wA3GmP4b1dnA6yMcm1JKKXWq6AJKB5pgjGkDvCISgqPb4yZjzH8DPwKWuOMFmATszkfAShUjTXyVOkUZYzYDZW4nV8fzIaASuN/tUONhABGZiNP0+dDoRaqUUkqNX+41uc+7nVUN1LnVo0Bv/xsXAGtE5DXgWuAOd/yZwEpjjDXa8SpVrMQYU+gYlFIF4vb03GWMufMk5u80xvxoZCNTSimlFICILAb+1hjzgSHK3AE8YIx5PH+RKVVc9IyvUqe27wHpk5i/Hbh7hGJRSimlVD/GmNeAJ91enAezQZNepYamZ3yVUkoppZRSSo1resZXKaWUUkoppdS4pomvUkoppZRSSqlxTRNfpZRSSimllFLjmia+SimllFJKKaXGNU18lVJKKaWUUkqNa/8fo2Dt38NYVwUAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 1152x288 with 2 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) + 1\n",
"\n",
"signal_fft = ft.rfft(signal_step) / sample_rate\n",
"signal_ifft = ft.irfft(signal_fft, len(signal_fft))\n",
"ft_freqs = ft.rfftfreq(n_samples, 1/sample_rate)\n",
"\n",
"\n",
"alpha = 0.8\n",
"fig, (ax1, ax2) = plt.subplots(1,2, figsize=(16,4))\n",
"ax1.set_title(\"Spectrum\")\n",
"ax1.set_xlabel(\"f (Hz)\")\n",
"ax1.set_ylabel(\"Amplitude\")\n",
"ax1.set_xlim(-1,20)\n",
"ax1.plot(ft_freqs, np.real(signal_fft), '.-', label='Real', alpha=alpha)\n",
"ax1.plot(ft_freqs, np.imag(signal_fft), '.--', label='Imag', alpha=alpha)\n",
"ax1.plot(ft_freqs, np.abs(signal_fft), '.-', label='Abs', alpha=alpha)\n",
"ax1.legend()\n",
"\n",
"# Signal and Inversed FFT\n",
"ax2.set_title(\"Signal and Inversed FFT\")\n",
"ax2.set_xlabel(\"t (s)\")\n",
"ax2.set_ylabel(\"A(t)\")\n",
"ax2.plot(np.arange(len(signal_ifft)) / sample_rate * 2, np.abs(signal_ifft)*sample_rate/2, label=\"Inversed FFT\")\n",
"ax2.plot(np.arange(len(signal_step)) / sample_rate, signal_step, label=\"Original\")\n",
"ax2.legend()\n",
"\n",
"if False:\n",
" ax2.set_xlim(t_0*(1-0.2), t_0*(1+0.2))\n",
"\n",
"plt.show();\n"
]
},
{
"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": 11,
"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": 12,
"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": 13,
"metadata": {
"scrolled": true
},
"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": [
"dft_sample_rate = 1/1e-3 # s\n",
"dft_n_samples = 2**10\n",
"dft_t = np.arange(dft_n_samples) / dft_sample_rate\n",
"\n",
"f = 1e2 # Hz\n",
"if f > dft_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*dft_t )\n",
"\n",
"fig, axes = plot_signal_and_spectrum(signal_sine, dft_sample_rate, \"Single frequency at $f = {:g}$MHz\".format(f/10**6), ft_kwargs={'fft': cooley_tukey_DFT})\n",
"axes.flat[1].axvline(dft_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
}