Last active
March 20, 2023 14:48
-
-
Save carlosolmos/4d39fb60ad594bfd6b475045281d8975 to your computer and use it in GitHub Desktop.
noise_filtering-corrected.ipynb
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
{ | |
"nbformat": 4, | |
"nbformat_minor": 0, | |
"metadata": { | |
"colab": { | |
"provenance": [], | |
"authorship_tag": "ABX9TyO/Lmc5ZFOA6oOMoHnV/GmL", | |
"include_colab_link": true | |
}, | |
"kernelspec": { | |
"name": "python3", | |
"display_name": "Python 3" | |
}, | |
"language_info": { | |
"name": "python" | |
} | |
}, | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "view-in-github", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"<a href=\"https://colab.research.google.com/gist/carlosolmos/4d39fb60ad594bfd6b475045281d8975/noise_filtering.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"from google.colab import drive\n", | |
"import pandas as pd\n", | |
"import matplotlib.pyplot as plt\n", | |
"import numpy as np\n", | |
"from scipy.signal import find_peaks\n", | |
"\n", | |
"import math \n", | |
"\n", | |
"\n", | |
"# Load Data\n", | |
"data0 = pd.read_csv('TOF_onereflect.csv', header=None)\n", | |
"data0.info()\n", | |
"data = data0.iloc[0,:].T\n", | |
"data.info()\n", | |
"# data was sample every 12.5 microseconds, prepare t scale in seconds\n", | |
"N = data.shape[0] # number of readings\n", | |
"print(f'samples: {N}')\n", | |
"tt = np.linspace(0, N-1,N)*12.5e-6\n", | |
"# plot original data\n", | |
"fig = plt.figure()\n", | |
"plt.plot(tt, data)\n", | |
"plt.title(\"Original data\")\n", | |
"plt.xlabel(\"time (seconds)\")\n", | |
"plt.ylabel(\"Voltage (V)\"); \n", | |
"plt.show()" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 552 | |
}, | |
"id": "8k5aKwitB301", | |
"outputId": "284acac9-e829-4c26-d39d-9d8db2faea8d" | |
}, | |
"execution_count": 2, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"<class 'pandas.core.frame.DataFrame'>\n", | |
"RangeIndex: 1 entries, 0 to 0\n", | |
"Columns: 2624 entries, 0 to 2623\n", | |
"dtypes: float64(2623), int64(1)\n", | |
"memory usage: 20.6 KB\n", | |
"<class 'pandas.core.series.Series'>\n", | |
"Int64Index: 2624 entries, 0 to 2623\n", | |
"Series name: 0\n", | |
"Non-Null Count Dtype \n", | |
"-------------- ----- \n", | |
"2624 non-null float64\n", | |
"dtypes: float64(1)\n", | |
"memory usage: 105.5 KB\n", | |
"samples: 2624\n" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
], | |
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAY0AAAEWCAYAAACaBstRAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAAsTAAALEwEAmpwYAAA1lUlEQVR4nO3dd5hU5dnH8e+9FOmg9CqCoAiKKKIiYgEVe0/UJGpigjUxxmhQY+/GkhgT86rR2HuIvQAWFAuCdBQpgoCFIr2ze79/zJndmdkpZ8vszDK/z3XttTOnzT1nZs59nnKeY+6OiIhIGEW5DkBERGoPJQ0REQlNSUNEREJT0hARkdCUNEREJDQlDRERCU1JQyQFM7vSzB6q7mVDbMvNbOeQy15nZk9Ux+uKhFE31wGI1AQzOxu4FOgOrAZGAle4+8pU67j7LWG3X5Flc8XM/gMscvc/5zoWqb1U0pBtnpldCtwOXAY0B/YDdgRGmVn9FOvohEokCSUN2aaZWTPgeuC37v6mu29x9/nAT4CuwM+D5a4zsxfM7AkzWw2cnVj1Y2ZnmtkCM1tuZleb2XwzGxqz/hPB465BFdNZZvaNmS0zs6titjPAzD42s5Vm9p2Z3ZcqeSV5PzuZ2ftmtsbMRgGtEuY/b2bfm9kqMxtrZr2D6cOBnwGXm9laM3slmD7CzOYG25tpZidWakdLwVDSkG3dQKAB8N/Yie6+FngdOCxm8vHAC0AL4MnY5c1sN+CfRA687YmUWDpmeO1BwC7AEOAaM+sVTC8GLiFywN8/mH9ByPfzFDAxWPdG4KyE+W8APYA2wOfR9+HuDwSP73D3Ju5+bLD8XODA4P1cDzxhZu1DxiIFSElDtnWtgGXuvjXJvO+IP1P/2N3/5+4l7r4hYdlTgFfc/UN33wxcA2QauO16d9/g7lOAKUBfAHef6O6fuPvWoNTzf8BBmd6ImXUB9gGudvdN7j4WeCV2GXd/2N3XuPsm4Dqgr5k1T7VNd3/e3b8N3vOzwGxgQKZYpHApaci2bhnQKkUbRftgftTCNNvpEDvf3dcDyzO89vcxj9cDTQDMrKeZvRpUI60GbiGhmilNDCvcfV3MtAXRB2ZWx8xuC6qbVgPzg1kptx1UuU0OqspWAn1CxiIFSklDtnUfA5uAk2InmlkT4EhgTMzkdCWH74BOMes3BFpWMqb7gS+BHu7eDLgSsBDrfQdsb2aNY6Z1iXl8BpEqtqFEqpu6RsMN/se9PzPbEXgQuAho6e4tgOkhY5ECpaQh2zR3X0Wkrv7vZjbMzOqZWVfgOWAR8HjITb0AHGtmA4NG6+uo/MG1KZFuv2vNbFfg/DArufsCYAJwvZnVN7NBwLExizQlkiCXA42IlGBi/QB0i3nemEgiWQpgZr8kUtIQSUlJQ7Z57n4HkbP5O4kcrD8lUtU0JKj7D7ONGcBvgWeInPGvBZYQOUhX1B+JlArWEDnTf7YC654B7Av8CFwLPBYz7zEi1VWLgZnAJwnr/hvYLaiK+p+7zwTuIlIa+wHYHRhX4XcjBcV0EyaRiguqt1YSqWL6OsfhiNQYlTREQjKzY82sUdCmcCcwjbLGZpGCoKQhEt7xwLfBXw/gNFdRXQqMqqdERCQ0lTRERCS0bXpQtlatWnnXrl1zHYaISK0yceLEZe7eOtm8bTppdO3alQkTJuQ6DBGRWsXMFqSap+opEREJTUlDRERCU9IQEZHQlDRERCQ0JQ0REQlNSUNEREJT0hARkdCUNEKYv2wd4+Ysy7ygiMg2bpu+uK+6HHznewDMv+3o3AYiIpJjKmmIiEhoShoiIhKakkYG36/amOsQRETyhpJGBsfd92GuQxARyRtKGhksWbMp1yGIiOQNJQ0REQlNSaMCzn1c9+YQkcKmpFEBb834IdchiIjklJKGiIiEpqQhIiKhKWmIiEhoOU0aZvawmS0xs+kx03Yws1FmNjv4v30w3czsXjObY2ZTzWyv3EUuIlKYcl3S+A8wLGHaCGCMu/cAxgTPAY4EegR/w4H7ayhGEREJ5DRpuPtY4MeEyccDjwaPHwVOiJn+mEd8ArQws/Y1EqiIiAC5L2kk09bdvwsefw+0DR53BBbGLLcomBbHzIab2QQzm7B06dLsRioiUmDyMWmUcncHvILrPODu/d29f+vWrbMUmYhIYcrHpPFDtNop+L8kmL4Y6ByzXKdgWo26480veezj+TX9siIieSEfk8bLwFnB47OAl2Kmnxn0otoPWBVTjVVj/vneXK55aUZNv6yISF7I6e1ezexp4GCglZktAq4FbgOeM7NzgAXAT4LFXweOAuYA64Ff1njAIiIFLqdJw91PTzFrSJJlHbgwuxGJiEg6+Vg9JSIieUpJQ0REQlPSqKRV67fkOgQRkRqnpFFJQ+5+L9chiIjUOCWNSlq2dnOuQxARqXFKGiIiEpqShoiIhKakISIioSlpiIhIaEoaIiISmpKGiIiEpqQhIiKhKWmIiEhoShoiIhKakoaIiISmpCEiIqEpaYiISGhKGiIiEpqShoiIhKakISIioSlpiIhIaEoaIiISmpKGiIiEpqRRBQ9/+DXfLF+f6zBERGqMkkYV3PDqTE5/8JNchyEiUmOUNKpo9cYtuQ5BRKTGKGmIiEhoShpV5bkOQESk5ihpiIhIaEoaIiISmpJGFal2SkQKiZKGiIiEpqRRRe4qa4hI4aib6wBSMbP5wBqgGNjq7v3NbAfgWaArMB/4ibuvyFWMIiKFJt9LGoe4+57u3j94PgIY4+49gDHBcxERqSH5njQSHQ88Gjx+FDghd6FEqHJKRApJPicNB942s4lmNjyY1tbdvwsefw+0TVzJzIab2QQzm7B06dKailVEpCDkbZsGMMjdF5tZG2CUmX0ZO9Pd3czKnei7+wPAAwD9+/dXQUBEpBrlbUnD3RcH/5cAI4EBwA9m1h4g+L8kdxFGqPOUiBSSvEwaZtbYzJpGHwOHA9OBl4GzgsXOAl7KTYQiIoUpX6un2gIjzQwiMT7l7m+a2WfAc2Z2DrAA+EkOYxQRKTh5mTTcfR7QN8n05cCQmo8oNVf/KREpIHlZPSUiIvlJSUNEREJT0qgi9Z4SkUKipCEiIqEpaVSRChoiUkiUNEREJDQlDRERCU1Jo6pUPyUiBURJQ0REQlPSEBGR0JQ0qkjDiIhIIck49lRwP4sDgA7ABiKjzU5w95IsxyYiInkmZdIws0OI3IN7B2ASkXtXNCByi9XuZvYCcJe7r66BOEVEJA+kK2kcBfzG3b9JnGFmdYFjgMOAF7MUW62gYUREpJCkSxp3ufv3yWa4+1bgf1mJSERE8la6hvDJZjbazM4xsxY1FZCIiOSvdEmjI/AXYBAwy8xeMrPTzKxhzYRWO6h2SsJ6bsJCuo54jRXrNuc6lFI3vDKTK/47NddhSC2SMmm4e7G7v+XuvwQ6Aw8DxwNfm9mTNRVgvnM1akhIT3yyAIAFP67PcSRlHh73NU+PX5jrMKQWCXWdhrtvBmYCXwCrgV7ZDKo2UcqQsCz4rxMNqc3SJg0z62xml5nZ58CrwfLHufteNRJdLVVS4nw2/8dchyH5xiJpI1cpY2txSV5VjUntlDJpmNlHwIdAGyJdb3dx9+vc/csai66Wenjc15z6r495b9aSXIeSV778fjXrN28NvfzEBSuYt3RtFiPKDnfnu1Ubyk0vK2mE286GzcXsd8sYPpi9tFriGvHfafS7cRRbi7N7Xe7mrSVs3qprf8O67PkpjJr5Q67DCC1dSWME0NXdL3P3iTUVUG0TPQDc985s+t80CoC5S9cBsHhl+QNHodq4pZhhf/2Ai56aFHqdk+//iEPvej/08hMX/JgXB6vnJixk/1vfYfLClXHTLZo1QpY15i1by/erN3Lza19US1wvT/4WgH1vGVMt24PI5/puwsnR/reOofe1b1bba2yrNmwu5ovvVvP8xEX85rEJaZf9xb8/5aEP5tVQZOmlSxqDgRapZprZoWZ2TLVHVEvd+fZXLFsbKfoXBQeHElVdl9ocnN1+9nX1VtutWr+FpWs28eX3qzn5/o+55fXqOcBWxafBe5yzJL6UFM0Zc5es47qXZ1CS4QtSJ/giVbYJZOOWYobc9R7j5iyLC2D5us2MeLF6ekzd8OpMfvnIZ0xfvKp02vJ1m9lSnJsv//TFq8q1GX00ZxnPflbuGmUA5ixZwy2vf4G7s2ztJg647R3mLFlTE6Fy8TOTOPJvH4Ra9oPZy7ipmk4eqipd0pgGvGpmY8zsL2Z2uZldY2aPm9k04Fjg05oJM7/97un4s+foGeX6TVv5ftXGGoujpMTpe/3bPPdZWW+YBcvX0e+Gt1kY02PnsY/n0+vqzGeCz30W6SK6av0WIFIn/ub079jzhreZ8e2qDGvHq0rb78xvV/Pl98lHq9nnltHsc/NovlsZ2c//+Wh+xu09M/4brhw5jS1ZrqaJtWLdZj7/ZiUAl784lf98NJ+vl69Lu05R8EUqqeTOW7B8PXOXRhIUlCUtgGc+W8idb82q1HZjzQ0S4+qNW6q8rap6/6ulHPP3D3ni0294+MOvS6tCz3joU/704rS4Zddt2krXEa8x9O6xPDB2Ht+u2siomT+weOUGHhz7ddZi/HHdZu57Z3a1t3uWlDjXvTyjRqpz03W5fcndDwDOA2YAdYj0nHoCGODul7h79VS21nIvT/k27nn0x37rG1+y361jmL54FV1HvMb/Ji3OuK2NW4q5+n/TeWny4rgDfTrFJc6UhSvZuLWYVRu2cM3L00vnPTdhISvWb4l77WtemsGGLcVpz3TnLl3L5cHZaLSa7a+jZ3PeE5+zcv0WHvqg6j+sBcvX8em85RmXO+reDxj21+RnZNHqqKtfKnvPi1as54PZS8tdf7C1uIQnP13AiP9O46lPv2HAzaPj5q9cv7ncZ5nJg2Pn0f+m0bg785elTgK3vVG+KbDIjIkLfmTighVJ14mWWIuz1NvqvnfnVHkb64ID88xvyyf1/jeN4sdKNLw/OHYek74pv0+Wr93EtS9Nj0v2i1duYPfr3mLOkrWl+//q/03nhldnctoDn/DN8vjf0EuTF9N1xGuM/Sr+0OXuZW1OVeiq8OLERQy4eXTK39aV/53GnW9/xSfzlrNifbhEu3TNprjnGzYX821C1ffcpWv5z0fzGf549lsSMna5dffZ7v4fd7/V3f8aXLuhyvoUSkqcxz5eEDftmL9/CMDvn53M3AxnAs9PWMjjnyzg4mcmM+TucPX53a98neP/MY7P5kd+aHXKKs+xuPNL4hpot8Z8sd2djVuKAdhSXMKQmLaE6OZm/VBWbI+e/X46bzk9r3ojaa+cFes2s8d1bzHpmxVJu5ke9Jf3+OkDn/DX0V+Vm1fRxtpFK8re18YtJfzi3+N5evxCxs1ZRkmJs3TNJs56ZDxXjSxLLok/2kuenczvnp7E12kO/nOWrGXOkrX0v2k0s39Yw82vf8GytZt4ZNx8Dr7zPaYuWlm67B+fn8Ka4Aw8WWlhwvwfOfn+jzn5/o+Svlb05KOqOWP2krVc+tyUmDaVFMv9sKb0O5DKk58u4ObXZpY+n744kizueHMWxSUeVyJctnZzWdVYjC3FJSz8cT3L1m5izcYtfB4kiJnfrqa4xLn59S848Z/x++T9r5ay902jefTjBbw1o2x0o1enfMuajVsZevf7XBuUqKKmLlrFmQ/HV4Zc/MxkAM5/8vO46RXdx8Ulzg+rI6Xb9Zu3cvoDn3DoXe9x6fNTWLJmE2tTdPhYH+zf2UvClwj2STi5OefRzxh42ztx074NajRK3Dnz4fHsdMVrobdfUbqfRgpbikvoOqLiOz7TWWH0YPza1O84/J73S68SXrk+ctD9JKbOf/PWEobc9V7o1/4mqO4oKjKKS5xrXppeejYZjWrNxrIvc3FM0vj3h1+z69Vv0nXEa7wxPemQY6VnvlDWXvPP9+ayubiEyTEHS4B7x8ym342jWL1xK/98b25Z+45FqjImLih7n38dPTtu3RcnLmLnq94o9/qzfwhX13zjq2UHtZ899CkDbhnDPjePZtyc9KWaH1ZHzujWbYrso41bitm8tYSbX5vJn/8Xqd4Yevf7DL37fZat3cSjH88vXXdicOCbn3Bm+8Qnkbr0unXK/9QueyG+JDRy0qK4uvdo0tiwuZh1m7by6EfzKSlxSkqcy56fUq6K8K0Z37NqQ/Kz1xc/X1TuBCLWinWbOeyesVzx32kplwG4auR0HkxSyixx5/735pQrEX44exkzvl3FVzGf3aDb3+HAO96l/02jOf+Jzznpnx/x2fwfOereD7h3zOzETQNw1sPjSx/f9OoXvD7tO856eDyTgiq/VBI/j1TcI20x0ceZ3D1qFvveMoYPZy9j3JzlfDxvOfOWlp1s7HHd2+XW+WjustISTmKCSyXZMeijuZHv8ferNpaWcKP7Z97SdYz9amlWB1LNeD+NQnXfO5Uruodd7w/PTWbT1hJuD6otvl+9kblL1/Ha1O/ilpu7dB1bi0swM8bNWcbA7i3jDkCxxeBNQVXNmo1b6X/TqLgz6btHfcXvhvSIO2z8+8N5XHjIzpgZr8RUy6Rqo4k96HwweykLYurkV2/YwobNxTSsXwd35+5RZaWH4hKPS1C/eXRCaWNx1C8fGc8jvxzAd6s28OSn8SW1qMPuGcuZ++/IYx8v4NaTdqdbq8ZJl3s/oeph2dpNSZdLVK9O5P1tLi7h3jGzuXvUV+zYshELggPPkX3axy2f7CD8u6cnUT/m8ykuiXwmdYvSn+Z/OHsZlzw7BYDDd2vH+i3FHHzne0Dku9H72rcAuOPNL3nj4sE8P3ERH89bzod/OjSyzKqNnPv4RA7s0YrHz9kXKF/Nkq6kEa1mGjlpMZO+WcFP9+nC8MHd2FpSwtOffkOLRvU5oV/HlOsXuzNlUfl2rmcnLOTZCZE2tvm3HQ2UJWeAD4OSSLQaKbZBPZXvV2/kgoSSQhgvTU5dPfzgB/N4PLhif9LClXQd8RrDB3fjyqOSX8f8j3fnAvDzf3/Kv8/qn/Z1l6zZyICbK95jLXryksp+t47hrlP7cunzUyq87apQ0kjhhYmLKrXe31KcKaUSPbvZstVTVlPEnnVfMrQnFw/tUfr84XFlZ32xVQvJ6kv7Xv82j58zoPT5nW9/Re+OzTlklzZYmiPKpi0l7HbNm6zfXLb9leu3cPL9H9G7Q3MgUuzv2KIh40YcygNj47sGbikuiaueSkwYAO/Oihzo97/1nXLzYkWr/jKdEVdG9KD3/ISFpUNrLIg5U/3ZQ/FVHbG7LDbZb46pWrvz7a947OMFDOvTLu1r//zfZdvud+MoerVvlnS5dZuLeeSj8mf60YbouUvW8sLERRy/Zwee/Sx+eJB0aWvQ7e+WPp6/fD23v/klT41fQPfWTXgv+GzSJQ13Ml5rcOGTn/OPnyW/LjhaQh/zZVn33ZXrN3PsfR/yr5/vnXa7YV3+QuoeY9GEAWW93h4YO680acxZsoZurZpQVGTlOlCc82jy7rIfzVnGzm2axFWnZbJu01Z+WL2RaYtXlValxVq0Yj11i6y0anlqQgm/JoS5c19P4H6grbv3MbM9iFwVflPWo8uhrSXZ61mzfO2m0lJB1LJ14c6Gx3z5A8MHd6Nh/ToAcd3wNm5JH/OqDVs47r5xcdNmLF5Fv84tSHcifOfbs+ISRmnMa+PbMaIN5on99otLPFT347DVT9Xp1je+4Ng9OtCnY/PSaWHHYkpsu0plyZpNPD+hYichX3yX+t5mj4ybH/d845ZiDr9nLBCp2/7j81OYumhlufjWJfkM01n44wYW/pi8+fKNad/RtEG9Cm3vtWnf0Xfs3KTztibpojt29jIW/riBo+/9sEKvk0riby6saYtWcex9H7JL26a89rtBGdt9os54qOKdS6Mlyl3bNU06/4InP2e7ukVsDT7Logwl2GwIU9J4ELgM+D8Ad59qZk8B23TSiC1CV7fEM1aAH0J2zZ26aBW9rnmTydccRuPt4j++yvSGufPtr7jz7a9o3XS7lMtE61CTSawKguTXp7wxPXImHtumkmhNhuJ4Nvzf+/P4v/ezf9HUhpAHmopYtGIDi1duSNp1NmxCq4jY0mJiQ3JYt7yefECJK0eWLzk+Mq58iaqmFZc43wS9GGf9sIadr3qDh89OXx1VHean6I49NaEKMPEEoiaESRqN3H18QvVFzf+6a1C2B5T78vvyZ9QjKljdsucNo9i5TZPqCqlct75YxRW4SnHT1uJyV0J/NHd52sQTtTZNQpHkDrgtfXVedfpfmjaBbMjUyF0Tul/5Ok0TTs5+9Z/0V29XVmyjd64ujgwjTNJYZmbdCTrgmNkpwHfpV6ndMlXz5IvEK47zwS5/rvzwEWfG9JCR/JONdqTaIBcl4IqcqNW0MF1uLyRSNbWrmS0Gfg+cn82g0jGzYWY2y8zmmNmIbLzGugoMqidSKGrLyZREhL04uKLCXNw3z92HAq2BXd19kLvPz0o0GZhZHeAfwJHAbsDpZrZbdb9O0wbqVCYitdu5Wbo6PEzvqT8kPAdYBUx098lZiSq1AcAcd58XxPIMkbsJzky7VgVtV7dOdW5ORKTGzUzTA68qwlRP9Scy/lTH4O9cYBjwoJldnpWoUusIxPaHXBRMK2Vmw81sgplNWLpUQ2OJSGG69/R+WdlumKTRCdjL3S9190uBvYncmGkwcHZWoqoCd3/A3fu7e//WrVvnOhwRkZzIVi/QMEmjDRDbH3MLkQv9NiRMrwmLgc4xzzsF00REJEa2rhwIkzSeBD41s2vN7FpgHPCUmTWmmtsSQvgM6GFmO5lZfeA04OUajmGb02WHRrkOoVaon2TQQUmv/47b5zqEglXZ+7BkEqb31I1E2jFWBn/nufsN7r7O3X+WlahSx7IVuAh4C/gCeM7dww0XWQMO6lk7q8N2bdeU8w/unusw8t4RGcaPqgnnHVS1z+nCQ6rnc771pN1DLXfPT/fMuMwHlx9SxWgkmVyWNHD3z4CngZHAEjPrkp1wQsXyurv3dPfu7n5zruJI5rR9IjVngyuRPB755T7VHU45O6UYFbZuHeNPw3bN+utnS8cWDWvkderlYJyfRKf271TpdU/q15HLjij7nOsUGS0aVWz8qKjodz2da47Zjc4ZSrHb1S2i8w6NOHXvyr+vQtBku4pfBpCzkoaZHWdms4GvgfeD/+VvdrCNalw/XPfbBvWKOGiX1hzUszXXHVvxS0cO2aVN6GV/eUDXjMu8c+lBcc+LDP5yyh5Jl003wm1tcPOJfWrkderWyf1+aliv7PtYv27lqsuuP643b/1+MHNvOap0aPWKSvzO/Ovn5UevbdusAQB/Pjr58OJQVmI5sBpK6bn+Gv/mwJ2ytu1M7615w3pcf1xv/nBYz9JpuSxp3AjsB3zl7jsBQ4FPshNO/vnraZm7rX1w+SF8eeORNKpfl0d/NYBurcvGhGrfvEHcspcP2yX0a3dr3ZjxVw2hXbP4bVx0yM4cvXv7FGtBqyb142LYtV1T/vmzvVKOiFlUTb+2PTu3KH18bN8O/PnoXjx4Zn8mXX1YtWw/lR5t40cEPfegbpw9sGu1v070gD2we8vQ68y75Sjm33Y05w7uFmr5M/btwozrjyh9nnjPkBJ3mjeMlA5m3TiM4/fsEDqWqLMGdmWXYBTVypzBJuq8Q0OG9WnP6D8Mjtvv0SagXx+Y+r1Hv3pHVUPV30Nn9ufF8wfGTWsU8qQvarcUQ9JHJf5UYn/fsYm0XooTjFtO3J1Xfzso6bzYA36iTL/RKdcezlkDu/K7IT34af9IKTBnJQ1gi7svB4rMrMjd3yVy7cY2bfI1hzHp6sPS3oMgKt3n+f5l8fW1sTfu+dtpe6bdbq92zWjTtAHv/vHg0mnjRhxKyybbpbwvAcCoS+JLGW/+fjDD+rSnX+cWXHnUrjz9m/3i5qeqdbktQ731bw/dOe75MXuUJTIjcrA4bLe2bN+4ftrtXDK0J69cNIh5txxVOq1lzDqnD0hdG/rW7weXi/+UvTpx6K5tym2nV/tm/HpQ2dngO5cexH1nhOvLfsa+XfjD4btw9sCuXHFkr3LzWjUp/x53bde0NFFfdkS4k4VbTtw9bvTid/54cOnNiyBy9jj2skP4aMShmFnp+0zmxhPiS2B1KlG9Fk1QyQwPEuEpe0UOUju3aRr3WdUpynx4if4e6tYpivv8o/d9GdB1h7jlt6tblPSg27tDM4b0asveCQ3vx+8Zfw+Q2JJaMulCHjfiUB46M/7QFz2Yf3D5IaVdXLu3bhz3m411xr5d4obhjy2hddo+dTVrRT676PEoW8NXhUkaK82sCTAWeNLM/gakvonyNqJFo/ps37h+qCJvsuqdvXfcnttP3p36dYsYf9WQmGXLlkn8QkedGL3ZTbBsw5izpTD196kO0mbG8MHd2b97S978/YGlB7Jo76nnz9ufNy4+sHT50wZ04fcxN3wC+OSKmPdCxXvHJKvGuHhoD3bv1Dxu38S+h9j68/p1i3j5ogNKn+/SrinbN4ose/1xvZl/29H0aNuUwT1b8+ivBvDXIDHfccoevHHxgfz5mLKqw26tm3DMHh2YeUPZmX2i6Ainvdo3o3nDelx3XG+6tIyvpx+0cytev/hARl5Qdpb7+u8O5Nnh+5c+D/OjT3em2XmHyOfuDs0b1aND8D1oEbz3xAPOSXt15Bf77Rg3LexZd2xpIV3V35VH9eKJc/blopiTh13aNWX/bpGSWKa7FUL87yGaYE/s15EDe7Rm/m1HM2CnsqRxUM/WPHRWf/p0bM64EYfy1u8Hc8fJkSrXZPv37IFd+VNMyf65c/dn1/aREtaNx/dOGk+6M/qOLRrSqH7k+3DK3p2Yf9vRcfFHD9Kn7dOFTtvHf0cuO2KXckkcoE1CLUIqRQYjLxhYriQF5U8+Tw7ah/avQIm4IsKUTY8HNgCXAD8DmgPXZyWaWirZ1yz2w23TtAG3nLg729UtKr31aLJqhf9eMJBXpnxLvy7bM3JS/OUn//r5XrwwsfouSdm1XTN2aduUnm2bcvAukfrkfWLO6hLPME/q15GLh/agXUJx/IXzB1boXur7d2+Vcl5s8n3k7H14avw3bNhcTN/OLXj7ksEcfs9YDNijU4u49RrUqxN3Nh4V7c025tKD4qp5BvdszZcxQyxEDwTJHNO3A0+P/ybuM27esB7zbzuaXz86gdFf/ECdIqNN0wa0aVq2b3brEF/Nkand6OyBXfl1TJ14vy4t2LVd2TbqBXU9iVUOg3u04o6T9+DYvh3odU1khOFXLhpUenCMdWr/zI3XABcc0p3rjoscVEdnuBvfoB7lP89o20/sgfyOU/agU4uGpTcmatesAY3q1ynX43DadYfHlQaGH9St9D4xj/6q7K6T0ZOnJsE4cQcnaROJvoeovbq0KH2c+PmcO7gbHVo0LPe7S7Rftx249aTdObZv5Pfbq30zFq3YwHZ1i0rbEJJ91Ef0bpf0VgaxSSrdV6TIjH5dkp+gJZ587tN1h6S/h+oSJmlc4+5/AkqARwHM7HbgT1mLKo+EK2lkXuaMfSPF9geCO5e1blL+pkd7ddmevbpsz8sx9+uOGtanPcMS7lHdoXkDmjaox6wUd7wbecHAtDdXMjMO261tuenjrxpSOv5W9IfQaYdG7NgycuD93aE7c+87c9K+71SN9c0b1uOjEYdy6r8+ZvHKDSnPZDvv0CiuR1fX4LV3jynah9W9dfyP9bGYg09mkR2Q7Az0qqN7sWlrMQcmOXBWVOIBbuQFB8Q9f+jM/jzz2UJ2TCjlmBk/SejJ1LNdk9IkEzXvlqMy3uXt1d8OYtPW4rjkF33bHVs05JxBO3HDq5kvzYrehS82afykf7QKqwlzlqwtLTEkSrwb4HYZGvs7tmjIJ1cMoU3M9/z9yw5Oepe+dKWIK4LbukbvGfLkr/ctvVnaRYfszCFBNaCZxVXB3fPTPZm6aCVtmjUoTejJThBSvXTsRxK9xe/eO27PxAUrMsb+0oUHsGpD+ds6Z1uY6qlkrZhHVncg+cpCtGqEWSaqXfPIGVKHENVMmbb60RVDeOuSwSnn9+uyfblichhtmjYoLWlEk8rQXmV15/sEVQbR+uYXz9+fly4sO8idM2inlGdFEHnv0bPRA9KUPGLVr1vEi+cP5N9nZ79rcqzoXX+T/eh3atWYx8/ZN21JJdaUaw9POr1n28w30+rWuglXHtUrbYklOiv2AHPv6f3o3aFZqNuC9unYnL133CHpvJ5tm/CrmPagdKJdzjsn+e5F28G6puj+nSjMb6td8wZx72/Hlo3p2bZ8Scus7Pvcvnny398pQdVOj5hSwR+P2KVcW0lUk+3qMjDhOxyNZJ+uZeukSn6xn9UubZsy84YjknZnjk/Anbj95N3p27lFpbr3V1XKb7uZnQ9cAHQzs9g7sjclclW4VMKxe7SnUb06aRsw6wRfpMSzxVTaNWvAyXt35Li+Hdlcyfsgp9KnY/NyRd0De7Rm2nWHl54VRg80n83/scqv17h+ndKif6JUP9zqcOrenZi2eFXcXRX/e8FAnhn/DZC6s0Cip369L2tT3LQnVaPyoJ2r94cfG+pxfTtwXIr9GfXB5YdUuvtuMucO7sYpe3dKWso9fs+OKdvykqnObrRmxvkHdeeMAV1o0ag+D/xib4YnDB9+xoAunL5Pl0rde9tLSxqR58+fN5BVG7bwybzlKU/eoklj13ZNMTMa1a/LCf06smD5eoqKjHvHzAYorUIGuOOUvhWOrTqlO0V6isj1GLcCsTc7WuPuVT861BbVVD1VtqwxNKZKqG2z7UqL81GH927LOYN24qJDdk5cPalPrhySeaFqlliNABXrF55q2Rk3DAu1/oQ/D61A+S6zv5wa+SF+9cMaDr9nLBCpLnx/VmSk5JaNU1fzxRq4c9WrqiqryIziSnSzTHcBXvS7XZGtFhVZ2mrRiqiu7uBRZlbaeeDw3u0YN+JQ5i1dGze/si8Z3UexMTdvWI8jeqfuThztrRX7sdWrU8Qfj9iF5ydEBvT++X5duPbY5A33uZAuadQBVhO5c18cM9uhUBJHqC63Vdj+xyPKH/Dr1Sni6mOq/d5SORdbH9+/6/Z88+P60obMimqVpE2oOvRs25Tj+nZgVlDiuOjQnenVvilDeoW/+DKdx88ZQHGJc/Yjn3HfGf14efK31TaEy0sXHsBr076rVNfaVBKrh244vjcNavB+M9XxTrq1asy8Zck7fHZs0TBlj8Q7T+1boeRXklDSCCOaYJJdU3HyXpGqshP7daRuHo17lu4XO5Gy5Jm4GxwId7VSIajCN7syxeDaaMb1R8QdzG45cXeGD+6WtYN/VcTeh6BenaJyHRCq4sAekWqGaJXfMXtU/OK8VPp0bJ60cbk6nbl/16xuP1H0AFyVizWfP2//lEkjnVMqOLRJWe+p8L/p6E8iWdIoKrLQPd5qUsqkEVz9XfDCfAEq0hBeCJLtjcYJVx43qFcnrkup5LdsDUmRiZkx5+Yjq1R6atlkO1rWwMlJqjPsVHZr36z0+JKr/VsZoeoGzOw4IjddAnjP3V/NXkj5papXhIvUZj2D4UZO6Fd9JaKKyqeqmXT+ePgubN5aUlqtlM6XNw6jTpHx47rNAKXDutQGYe4RfhuwD5H7agBcbGYD3f3KrEZWiyhnRESvWt4xZHdKyX8dWzTM6oVi25IdGtfnzlPD9WxqEFzA2LZZA54dvl/WqxWrU5iSxlHAnu5eAmBmjwKTgIJIGipFhHdE73Y8O3y/uKEfRCS9fbtlZ7iPbAlb7msR87j2pMRqEOriPmUWILIf9u3WUvtDZBsWpqRxKzDJzN4lUhMzmPjrNgqeDpEiUijSXRH+D+Apd3/azN4j0q4B8Cd3/74mgssH1TX2lIjItiBdSeMr4E4zaw88Bzzt7pNqJqz8Ee7iPmUNESkMKds03P1v7r4/cBCwHHjYzL40s2vNLPXA/4VIOUNECkTGhnB3X+Dut7t7P+B04ATgi2wHljdUPSUiUipj0jCzumZ2rJk9SWQAw1nASVmPLE+o6klEpEy6hvDDiJQsjgLGA88Aw919m7/Va0UprYhIoUjXEH4FkeHRL3X3FWmW26aFqXqq7uGbRUTyVboBCw+tyUBqs7A3SxIRqe10tMsgTBmiXh2VNESkMChpZBBqaHRVT4lIgVDSEBGR0JQ0MshUiBhx5K41E4iISB5Q0sggU8XT0btX361ARUTynZKGiIiEpqSRQabqKbWBi0ghUdLIKH1WqMoN70VEapu8Sxpmdp2ZLTazycHfUTHzrjCzOWY2y8yOyGWcUUoaIlJIwty5Lxfucfc7YyeY2W7AaUBvoAMw2sx6untxNgPJVP1UR/VTIlJA8q6kkcbxwDPuvsndvwbmAAOy/aKZUoJKGiJSSPI1aVxkZlPN7GEz2z6Y1hFYGLPMomBaHDMbbmYTzGzC0qVLsx5okZKGiBSQnCQNMxttZtOT/B0P3A90B/YEvgPuqsi23f0Bd+/v7v1bt25dHbGmnV9XSUNECkhO2jTcfWiY5czsQeDV4OlioHPM7E7BtKzKlBI0LLqIFJK8q54ys9hLrE8EpgePXwZOM7PtzGwnoAeRm0PllNo0RKSQ5GPvqTvMbE/AgfnAuQDuPsPMngNmAluBC7PdcwrUe0pEJFbeJQ13/0WaeTcDN9dgOGnvEX7OoJ3UEC4iBSXvqqdqkyP7tMt1CCIiNUpJIwPVPomIlFHSqAJVTYlIoVHSqAJ1txWRQqOkkUG6vKCChogUGiWNDNL1nlJJQ0QKjZJGFShniEihUdLIIH31lLKGiBQWJY0qUNIQkUKjpJFBurygnCEihUZJI4P0DeE1GIiISB5Q0qiC7RvVz3UIIiI1Skkjg1RVUHecvActm2xXs8GIiOSYkkYGqWqgWjZRKUNECo+SRiWpEVxECpGSRgapkkO7Zg1rNhARkTygpJFR+azx0/6d2a1DsxzEIiKSW0oaldCzXdNchyAikhNKGhmo7UJEpIySRgbKGSIiZZQ0REQkNCWNDEz1UyIipZQ0MlDKEBEpo6QhIiKhKWlkoNopEZEyShoZJBsaXXlERAqVkkYleK4DEBHJESWNDFQ9JSJSRkmjEpRHRKRQKWlUgqqnRKRQKWlkoOopEZEyShoiIhKakkYGGkZERKRMTpKGmZ1qZjPMrMTM+ifMu8LM5pjZLDM7Imb6sGDaHDMbUWOxhpwmIlIIclXSmA6cBIyNnWhmuwGnAb2BYcA/zayOmdUB/gEcCewGnB4smxNqCBeRQlU3Fy/q7l9A0qqf44Fn3H0T8LWZzQEGBPPmuPu8YL1ngmVnZjtW1U6JiJTJtzaNjsDCmOeLgmmpppdjZsPNbIKZTVi6dGlWglQeEZFClbWShpmNBtolmXWVu7+Urdd19weABwD69+9f5ZokV12UiEiprCUNdx9aidUWA51jnncKppFmuoiI1JB8q556GTjNzLYzs52AHsB44DOgh5ntZGb1iTSWv1wTASUraLRv3qAmXlpEJO/kpCHczE4E/g60Bl4zs8nufoS7zzCz54g0cG8FLnT34mCdi4C3gDrAw+4+Ixexd23ZiGF9ktW6iYhs+3LVe2okMDLFvJuBm5NMfx14PcuhZXTAzq10wZ+IFKx8q57KO66WcBGRUkoaGSTmDBUyRKSQKWmIiEhoShoiIhKakkYFHdijda5DEBHJGSWNChjaqy1H9FZ3WxEpXEoaGcQ2hN/90765C0REJA8oaYTUeYeGNGtQL9dhiIjklJJGBtEutg3r1cltICIieSAnV4TXJp22b8ilh/XkhH5JR2IXESkoShoZmBm/HdIj12GIiOQFVU+JiEhoShoiIhKakoaIiISmpCEiIqEpaYiISGhKGiIiEpqShoiIhKakISIiodm2fDtTM1sKLKjCJloBy6opnJqkuGtebY29tsYNtTf22hD3ju6e9D4Q23TSqCozm+Du/XMdR0Up7ppXW2OvrXFD7Y29tsYdpeopEREJTUlDRERCU9JI74FcB1BJirvm1dbYa2vcUHtjr61xA2rTEBGRClBJQ0REQlPSEBGR0AomaZjZMDObZWZzzGxEkvnbmdmzwfxPzaxrzLwrgumzzOyIsNvM89jnm9k0M5tsZhPyKW4za2lm75rZWjO7L2GdvYO455jZvWbRG/LmfdzvBducHPy1qe64qxj7YWY2Mdi3E83s0Jh18nmfp4s73/f5gJjYppjZiWG3mVPuvs3/AXWAuUA3oD4wBdgtYZkLgH8Fj08Dng0e7xYsvx2wU7CdOmG2ma+xB/PmA63ydJ83BgYB5wH3JawzHtgPMOAN4MhaEvd7QP88/p73AzoEj/sAi2vJPk8Xd77v80ZA3eBxe2AJkbup1sixpbJ/hVLSGADMcfd57r4ZeAY4PmGZ44FHg8cvAEOCM6rjgWfcfZO7fw3MCbYXZpv5GntNqHTc7r7O3T8ENsYubGbtgWbu/olHfmmPASfke9w1qCqxT3L3b4PpM4CGwRlyvu/zpHFXc3zpVCX29e6+NZjeAIj2SqqpY0ulFErS6AgsjHm+KJiWdJngg1wFtEyzbphtVodsxA6RL+jbQZF+eJ7FnW6bizJss6qyEXfUI0FVxNXZqOKh+mI/Gfjc3TdRu/Z5bNxReb3PzWxfM5sBTAPOC+bX1LGlUgolaUh5g9x9L+BI4EIzG5zrgLZxP3P33YEDg79f5DiepMysN3A7cG6uY6mIFHHn/T5390/dvTewD3CFmTXIdUyZFErSWAx0jnneKZiWdBkzqws0B5anWTfMNqtDNmLH3aP/lwAjqf5qq6rEnW6bnTJss6qyEXfs/l4DPEV2qgmrFLuZdSLyXTjT3efGLJ/X+zxF3LVin8fE+gWwlqBdJsQ2cyfXjSo18UekcWkekcbgaMNS74RlLiS+seq54HFv4huT5xFpqMq4zTyOvTHQNFimMfARMCxf4o6ZfzaZG8KPyve4g222Ch7XI1KvfV6efVdaBMuflGS7ebvPU8VdS/b5TpQ1hO8IfEtkBNwaObZU+j3nOoAae6NwFPAVkV4JVwXTbgCOCx43AJ4n0lg8HugWs+5VwXqziOk5kmybtSF2Ir0ypgR/M7IVexXjng/8SOTsaxFB7xGgPzA92OZ9BKMa5HPcRBLzRGBqsL//RtCLLV9iB/4MrAMmx/y1yfd9niruWrLPfxHENhn4HDgh3Tbz5U/DiIiISGiF0qYhIiLVQElDRERCU9IQEZHQlDRERCQ0JQ0REQlNSUMKgpm1MLMLYp53MLMXsvRaJ5jZNdnYdmUEo732TzP/ztjRYUXSUdKQQtGCyGijALj7t+5+SpZe63Lgn1nadjb8Hciv4bclbylpSKG4DegeDF73FzPrambTAczsbDP7n5mNssh9Ri4ysz+Y2SQz+8TMdgiW625mbwaDPH5gZrsmvoiZ9QQ2ufuy4PmpZjY9uF/C2GBanSCGz8xsqpmdG7P+n4J7Q0wxs9uCaXsGcUw1s5Fmtn0w/T0zu93MxpvZV2Z2YDC9oZk9Y2ZfmNlIoGHM6/4niGeamV0C4O4LgJZm1i5bO1+2HXVzHYBIDRkB9HH3PQEs5kZVgT5E7s3QgMiVu39y935mdg9wJvBX4AEiQ1HMNrN9iZQmEqt1DiBydW/UNcAR7r7YzFoE084BVrn7PsEw3uPM7G1gVyJDYO/r7uujyYrIcOS/dff3zewG4Frg98G8uu4+wMyOCqYPBc4H1rt7LzPbIyaePYGO7t4n2AfReAiWOQB4MfUuFFHSEIl61yMD260xs1XAK8H0acAeZtYEGAg8HzPCdrL7NrQHlsY8Hwf8x8yeA/4bTDs82Ga0eqw50IPIAf8Rd18P4O4/mllzoIW7vx8s+yiRISmiotucCHQNHg8G7g22MdXMpgbT5wHdzOzvwGvA2zHbWQJ0SLZjRGIpaYhExN6DoSTmeQmR30kRsDJaUkljA5EkAIC7nxeUSo4GJprZ3kQG/vutu78Vu6LF3I63EnEXk+H37O4rzKwvcASRuwv+BPhVMLtBELtIWmrTkEKxBmha2ZXdfTXwtZmdCmARfZMs+gWwc/SJmXX3yD0TriFSAukMvAWcb2b1gmV6mlljYBTwSzNrFEzfwd1XASui7RVEBrl7n/TGAmcE2+gD7BE8bgUUufuLRAb62ytmnZ5EBiUUSUslDSkI7r7czMYFjd9vAP+oxGZ+BtxvZn8mMtz2M0RGCo41FrjLzMwjo4H+xcx6ECldjAmWn0qkKunz4G5yS4mMcPqmme0JTDCzzcDrwJXAWcC/gmQyD/hlhjjvJ3LHui+IJLGJwfSOwfToyeIVAEHy2hmYUMH9IQVIo9yKVDMz+xvwiruPznUsYZjZicBe7n51rmOR/KfqKZHqdwvQKNdBVEBd4K5cByG1g0oaIiISmkoaIiISmpKGiIiEpqQhIiKhKWmIiEhoShoiIhLa/wOMCgzJFK//aAAAAABJRU5ErkJggg==\n" | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"## Physical Frequencies\n", | |
"sample_freq = 80; #in kHz (1 / 12.5 microsecond sample interval)\n", | |
"frequencies_physical = np.linspace(-N/2,N/2 - 1,N) *sample_freq / (N);\n", | |
"## FFT\n", | |
"freq_spectrum = np.fft.fftshift( np.fft.fft ( data ) );\n" | |
], | |
"metadata": { | |
"id": "GH-ouRKypES9" | |
}, | |
"execution_count": 3, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"plt.plot(frequencies_physical, abs(freq_spectrum))\n", | |
"plt.xlabel(\"Frequency (kHz)\")\n", | |
"plt.ylabel(\"Magnitude\")\n", | |
"plt.title(\"Freq Spectrum Base\")\n", | |
"plt.show()" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 295 | |
}, | |
"id": "NrHbpEB-56Yy", | |
"outputId": "f3411a9f-9139-4478-a42e-e89aa69d483c" | |
}, | |
"execution_count": 4, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
], | |
"image/png": "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\n" | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"# find center freq and banwidth\n", | |
"\n", | |
"height_threshold=3000\n", | |
"peaks_index, properties = find_peaks(np.abs(freq_spectrum), height=height_threshold)\n", | |
"sum = 0.0\n", | |
"for i in range(len(peaks_index)):\n", | |
" sum=sum+np.abs(frequencies_physical[peaks_index[i]])\n", | |
"\n", | |
"center_frequency = sum/len(peaks_index)\n", | |
"bandwidth=len(peaks_index)/2\n", | |
"\n", | |
"\n", | |
"print('Positions and magnitude of frequency peaks:')\n", | |
"[print(\"%4.4f \\t %3.4f\" %(frequencies_physical[peaks_index[i]], properties['peak_heights'][i])) for i in range(len(peaks_index))]\n", | |
"\n", | |
"plt.plot(frequencies_physical, np.abs(freq_spectrum),'-', frequencies_physical[peaks_index],properties['peak_heights'],'x')\n", | |
"plt.xlabel(\"Frequency\")\n", | |
"plt.ylabel(\"Amplitude\")\n", | |
"plt.show()\n", | |
"\n", | |
"\n", | |
"print(f'center freq: {center_frequency} bandwidth {bandwidth}')\n", | |
"\n" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 499 | |
}, | |
"id": "DLOCidqBMTd1", | |
"outputId": "1f176596-7313-4954-a22d-8e0ac218cc56" | |
}, | |
"execution_count": 5, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Positions and magnitude of frequency peaks:\n", | |
"-10.1829 \t 3089.0353\n", | |
"-10.0305 \t 3180.8980\n", | |
"-9.9085 \t 3085.5270\n", | |
"-9.8476 \t 3119.2062\n", | |
"-9.7866 \t 3007.5462\n", | |
"9.7866 \t 3007.5462\n", | |
"9.8476 \t 3119.2062\n", | |
"9.9085 \t 3085.5270\n", | |
"10.0305 \t 3180.8980\n", | |
"10.1829 \t 3089.0353\n" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
], | |
"image/png": "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\n" | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
}, | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"center freq: 9.951219512195122 bandwidth 5.0\n" | |
] | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"# Frequency filtering Rectangular window\n", | |
"\n", | |
"# find relevant frequenct indices\n", | |
"\n", | |
"f_0 = (center_frequency + (bandwidth/2))\n", | |
"df_0 = (center_frequency - (bandwidth/2))\n", | |
"print( f'{df_0} <= frequency < {f_0}')\n", | |
"\n", | |
"filter_indices = np.where( (np.abs(frequencies_physical) >= df_0) & (np.abs(frequencies_physical) < f_0))[0]\n", | |
"print(f'filter len: {len(filter_indices)}')\n", | |
"\n", | |
"# Rectangular window\n", | |
"rect_window = np.zeros(freq_spectrum.shape, dtype='float')\n", | |
"for i in range(len(filter_indices)):\n", | |
" rect_window[filter_indices[i]]=1.0\n", | |
"\n", | |
"\n", | |
"data1=rect_window\n", | |
"data2=np.abs(freq_spectrum)\n", | |
"\n", | |
"\n", | |
"fig, ax1 = plt.subplots()\n", | |
"\n", | |
"color = 'tab:red'\n", | |
"ax1.set_xlabel('time (s)')\n", | |
"ax1.set_ylabel('win', color=color)\n", | |
"ax1.plot(frequencies_physical, data1, color=color)\n", | |
"ax1.tick_params(axis='y', labelcolor=color)\n", | |
"\n", | |
"ax2 = ax1.twinx() # instantiate a second axes that shares the same x-axis\n", | |
"\n", | |
"color = 'tab:blue'\n", | |
"ax2.set_ylabel('sig', color=color) # we already handled the x-label with ax1\n", | |
"ax2.plot(frequencies_physical, data2, color=color)\n", | |
"ax2.tick_params(axis='y', labelcolor=color)\n", | |
"\n", | |
"fig.tight_layout() # otherwise the right y-label is slightly clipped\n", | |
"plt.show()\n" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 334 | |
}, | |
"id": "30awLz-edTfV", | |
"outputId": "477e41ff-735f-4b1a-f8dc-aea957084a00" | |
}, | |
"execution_count": 6, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"7.451219512195122 <= frequency < 12.451219512195122\n", | |
"filter len: 328\n" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 432x288 with 2 Axes>" | |
], | |
"image/png": "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\n" | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"rect_freqspectrum = freq_spectrum * rect_window\n", | |
"\n", | |
"plt.plot(frequencies_physical, abs(freq_spectrum))\n", | |
"plt.xlabel(\"Frequency (kHz)\")\n", | |
"plt.ylabel(\"Magnitude\")\n", | |
"plt.title(\"Freq Spectrum Base\")\n", | |
"plt.show()\n", | |
"\n", | |
"plt.plot(frequencies_physical, abs(rect_freqspectrum))\n", | |
"plt.xlabel(\"Frequency (kHz)\")\n", | |
"plt.ylabel(\"Magnitude\")\n", | |
"plt.title(\"Freq Spectrum Filtered\")\n", | |
"plt.show()" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 573 | |
}, | |
"id": "k3E5V-m_X6Oy", | |
"outputId": "f83aca9e-b4fc-46d7-fa48-0c51084b4a38" | |
}, | |
"execution_count": 7, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
], | |
"image/png": "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\n" | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
], | |
"image/png": "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\n" | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"# filtered time series data\n", | |
"\n", | |
"data_filtered = np.real (np.fft.ifft(rect_freqspectrum))\n", | |
"\n", | |
"# plot original data\n", | |
"fig = plt.figure()\n", | |
"plt.plot(tt, data)\n", | |
"plt.title(\"Original data\")\n", | |
"plt.xlabel(\"time (seconds)\")\n", | |
"plt.ylabel(\"Voltage (V)\"); \n", | |
"plt.show()\n", | |
"\n", | |
"# plot filtered data\n", | |
"fig = plt.figure()\n", | |
"plt.plot(tt, data_filtered)\n", | |
"plt.title(\"Filtered data - Rectangular Window\")\n", | |
"plt.xlabel(\"time (seconds)\")\n", | |
"plt.ylabel(\"Voltage (V)\"); \n", | |
"plt.show()" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 573 | |
}, | |
"id": "MGlMolxyhi1s", | |
"outputId": "8d0aaef4-395b-402a-90b2-628cbb171b53" | |
}, | |
"execution_count": 8, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
], | |
"image/png": "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\n" | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
], | |
"image/png": "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\n" | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"\n", | |
"\n", | |
"# speed of sound = 340000 mm/s\n", | |
"\n", | |
"# distance = v * t\n", | |
"t = 0.016\n", | |
"d = 340000 * t\n", | |
"print(f'distance: {d}mm = {d/1000}m')" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "OqZRiC-_1PgZ", | |
"outputId": "fb68c360-1981-4c1e-d444-e1ab54eb7e84" | |
}, | |
"execution_count": 9, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"distance: 5440.0mm = 5.44m\n" | |
] | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"# Gausian Window\n", | |
"\"\"\"\n", | |
"gauss_window = np.zeros(freq_spectrum.shape, dtype='float')\n", | |
"\n", | |
"def gauss_func (frequency):\n", | |
" fc=center_frequency\n", | |
" if frequency < 0:\n", | |
" fc=center_frequency * -1\n", | |
" return math.exp(-1/2 * ( ( (np.real(frequency) - fc) / (bandwidth/2) )**2 ) )\n", | |
"\n", | |
"for i in range(len(filter_indices)):\n", | |
" gauss_window[filter_indices[i]]=gauss_func(frequencies_physical[filter_indices[i]])\n", | |
"\"\"\"\n", | |
"\n", | |
"# Borrowing code from Prof Verdugo:\n", | |
"stdev = bandwidth/2;\n", | |
"p1val = np.exp(-1/2*((frequencies_physical-center_frequency)/stdev)**2);\n", | |
"p2val = np.exp(-1/2*((frequencies_physical+center_frequency)/stdev)**2);\n", | |
"gauss_window = p1val + p2val;\n", | |
"\n", | |
"\n", | |
"plt.plot(frequencies_physical, abs(gauss_window))\n", | |
"plt.xlabel(\"Frequency (kHz)\")\n", | |
"plt.ylabel(\"Magnitude\")\n", | |
"plt.title(\"Freq Spectrum Base\")\n", | |
"plt.show()\n" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 295 | |
}, | |
"id": "ATiOOd-BiQhH", | |
"outputId": "544dcaf6-9976-40f5-f188-985e452b6050" | |
}, | |
"execution_count": 19, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
], | |
"image/png": "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\n" | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"\n", | |
"data1=gauss_window\n", | |
"data2=np.abs(freq_spectrum)\n", | |
"\n", | |
"fig, ax1 = plt.subplots()\n", | |
"\n", | |
"color = 'tab:red'\n", | |
"ax1.set_xlabel('time (s)')\n", | |
"ax1.set_ylabel('win', color=color)\n", | |
"ax1.plot(frequencies_physical, data1, color=color)\n", | |
"ax1.tick_params(axis='y', labelcolor=color)\n", | |
"\n", | |
"ax2 = ax1.twinx() # instantiate a second axes that shares the same x-axis\n", | |
"\n", | |
"color = 'tab:blue'\n", | |
"ax2.set_ylabel('sig', color=color) # we already handled the x-label with ax1\n", | |
"ax2.plot(frequencies_physical, data2, color=color)\n", | |
"ax2.tick_params(axis='y', labelcolor=color)\n", | |
"\n", | |
"fig.tight_layout() # otherwise the right y-label is slightly clipped\n", | |
"plt.show()\n" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 297 | |
}, | |
"outputId": "d1b4d2cd-cb00-4e51-b7a2-812db31abd8d", | |
"id": "3hfPS5QtmPAe" | |
}, | |
"execution_count": 20, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 432x288 with 2 Axes>" | |
], | |
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAagAAAEYCAYAAAAJeGK1AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAAsTAAALEwEAmpwYAABUyUlEQVR4nO2deXgb1bn/P8eSHWf1kn0DQQhYYQsQApSlQNmK+iOUthTKbektLV2gty209wq4hV6grUoplPZSWsrOLaV0haKUPexr2EnkQEhE9s2xnMSOF0nn98eMZC0jaWRL1vZ+nsePpZkzM6/H0vnO+573vEdprREEQRCEcqOu1AYIgiAIghUiUIIgCEJZIgIlCIIglCUiUIIgCEJZIgIlCIIglCXOUhuQL3V1dXr06NGlNkMQBKGs6Onp0VrrqnI6Kk6gRo8eTXd3d6nNEARBKCuUUrtLbUOhqSq1FQRBEKoHEShBEAShLBGBEgRBEMoSEShBEAShLBGBEgRBEMoSEShBEAShLClamnmgzX0H8Clgi7s9cIDFfgXcBJwO9ABfdrcH3iiWPYIgCEJlUUwP6i7gtCz7PwnMNX8uBG4poi2CIAhChVE0gXK3B54Ftmdpsgi4x90e0O72wMtAc6DNPb1Y9giVS9eWDn501Z10PPpYqU0payI7d7L4xzdz/53+UpsiCAWhlGNQM4G1Ce/XmdvSUEpdqJRaqpRaGg6HR8Q4oXy45roHuKtvCvfe8Ad6V6wotTlly+af/JRv7XThXQG733231OYIwrCpiCQJrfWtWusFWusFTmfFVWcShsHAxo10r9sAQKRhFJ1//GOJLSpPIqEQXf/8Z/z99nvvLaE1glAYSilQ64HZCe9nmdsEIc6uZ55Bm68b99uPnU8+idY66zG1yM6nlkBCdGHXk0+hJdogVDilFKiHgC8F2twq0OY+Euhytwc2ltAeoQzpfuEF6saOBSAwdR8iW7fR/+GHJbaq/Oh59VXCk6bE30e7u+kNtJfQIkEYPsVMM/8jcDwwKdDmXgdcBdQDuNsDvwUWY6SYr8RIM//3YtkiVC67330P58KDAHi4w8lFQM/S1xm1zz6lNazM2P3WW9y58OykbT1LlzL6wLQZHoJQMRRNoNztgXNz7NfARcW6vlD5hLdtI7xpEytGT4Y+Y1vd+PH0tgdKa1iZEQmF6A8G2faxqcajHjAwcza9y5aV1jBBGCYVkSQh1CaxDnZFX318W2NbG30Sukqid8X7AGxxjotvu+ngz9InGY9ChSMCJZQtVmMoo9xt9L7/PjoSKYFF5Un/6lUAbOof3LZ2zET6Vq9G9/dnOEoQyh8RKKFs6Q8GcU6dmrRt1D77oHfvZmDjphJZVX70fbiKujFjQA1+ndWoRgiH6Vu9uoSWCcLwkElFQtnSHwzSsOeeSdsa9nQZ+z4K0jDLcl53zdH/4Yc07L03SiVsbGgw9q0O0rjffqUxTCgrXF5/I/AsMAqj7/9L0Oe5yuX17wXcD0wEXge+GPR5+l1e/yjgHuAwoAP4fNDnCZrnugy4AIgA/xH0eR4ths3iQQllS/9HH9HgciVta3DtGd8nGPStWkXD3nslb6w3xu36164pgUVCmdIHnBj0eQ4G5gOnubz+I4GfATcGfZ59gE4M4cH83Wluv9Fsh8vrnwecA+yPUW/1Ny6v31EMg0WghLIk0tVFpLMzzYPqbWpFjR7NgAgUYMx3Cm/axKi959DZMzC4Q9XhaG1lYI0IlGAQ9Hl00OfZZb6tN380cCLwF3P73cCZ5utF5nvM/Z9wef3K3H5/0OfpC/o8qzGmCi0shs0iUEJZEvOQGvZyJW3/YMsuGvbYg/6gCBTAwAajDFT97FlJ2zXauE9r1lodJlQnzljNUvPnwtQGLq/f4fL63wK2AI8DHwKhoM8TKzuSWBM1Xi/V3N+FEQa0XUd1uMgYlFCWxAVqjz2AwXRprTUNe+5J3wcflMiy8iIuUDNmABvi27d3D9Cw5x50v/paiSwTSkBYa70gW4OgzxMB5ru8/mbg70DbSBg2VMSDEsqSgQ1G1Suj4x3k7hc/on7GDAY2bpSafAwKVGRK8ko1Pf1h6mfvQXjTJqKSai6kEPR5QsAS4Cig2eX1x5yVxJqo8Xqp5v4mjGSJEaujKgIllCUDmzZS19RkpE8n8NDbG6ifPg3d20skFCqNcWXEwIYNUF/Pm7vSv8r106eB1oS3bCmBZUK54fL6J5ueEy6vfzRwMhDAEKrPms3OBx40Xz9kvsfc/1TQ59Hm9nNcXv8oMwNwLvBqMWwWgRLKkvDGTdRPm2a5zzl9utlGagsPrN9A/bRpOJ3JX2WtwWneP7lPgsl0YInL638HeA14POjzPAz8F3CJy+tfiTHGdLvZ/nZgorn9EsALEPR5lgEPAMuBR4CLzNBhwZExKKEsGdi8OaNA1U83wn4DGzfSOG/eSJpVdgxs2ED9jBk465IFSini929g0+ZSmCaUGUGf5x3gEIvtq7DIwgv6PL3A5zKc68fAjwttYyriQQllSXjjRpzTp1mOM9XPMDyo2DhVLRMXKIdK2t7TH0kQKLlPQmUiAiWUHdHdu4mEQtRPm85jy9Of/h2traiGhprveHV/P+GtW00PSqXtrxs7lroJEwiLByVUKCJQQtkxsMmos1c/fRqbd/Sm7VdK4Zw+rebHVga2bAWtqZ8+jTqVLlAA9VOnxu+nIFQaIlBC2RE2O1TntOlYd7tQP3VazY+thLca2XnOyZOJZki5FyEXKhkRKKHsiFUqr58+jWBHj2Ub5+TJhLduHUmzyo7Y3++cPNlyv9baEPLNtS3kQuUiAiWUHeHNpgc1dSq3P2+9XERMoGp5sm6iQFndhkeXbcI5fRqRjg6ZrCtUJCJQQtkR3rrNmKQ7alTGNs7Jk9G9vUS7u0fQsvIivHUr1BlFYa1kuqO7P+5dRbZtG1njBKEAiEAJZUd42zackyZlbeOcbOwPb6ndMF942zYcE1tRDoelJ6k1OCea96mjY6TNE4RhIwIllB3hjg6cEydmbRPzDGp5HCq8dWv8Plh5UJoEId8qHpRQeYhACWVHeNvW3B6UuT+8TQQqI1rHhT7cIQIlVB4iUELZEdnWgWOSeFC5SPKgLFwoDThMIZcxKKESEYESyoro7t1Eu7vjYyeZqGtqQtXX16xA6UiESMf2BIFKV6hQzwB1DQ1GNYltMgYlVB4iUEJZERvMd06alDWFXCmFY/KkmvUMwh0dEI1mHYO64fH3AeNehmv0PgmVjQiUUFbEBMc5aaJl2CqRWp6smzpJNxrNfLOcEyfKGJRQkYhACWVF7EnfkSNJAmpboAaF3LhP2bTcOXkSEcniEyoQESihrIiNlTgnTcra6YIxxyfcsb34RpUhsb87JlCZavGBIfYyD0qoRESghLIi5kE5W1tzljFytLYQCYXQ0ehImFZWRDo7AXA0NwPWWXwxnBMnEd21i2hvemV4QShnRKCEsiLcsQ1HczOqvj5nW2dLK0SjRLq6RsCy8iISCoHTSd24cUAOgYrPGRMvSqgsRKCEsiKybVt8DlSuEJ+jtdU4ZnvthfkioZAh5OY6UNlCfE7zfkZqeFKzUJmIQAllRXhbB85JmSefJuJsbTGOqcHxFUOgmuLvs90qh9TjEyoUESihrAhv78Bpeka5GPSgOotpUlkS6eyMjz9BDg+qxWgXCYWKa5QgFBgRKKGsiHSGcLQYnpHOEeRztJgC1VmDIb6uEE7zPgFZXaiYkIdrMBQqVDbOYp480OY+DbgJcAC3udsDvpT9ewB3A81mG6+7PbC4mDYJ5YsOh4nu2GErMw0GPYNa7HjDoRCjbXpQdaNHoxobiXSGim+YIBSQonlQgTa3A7gZ+CQwDzg30Oael9Lsv4EH3O2BQ4BzgN8Uyx6h/Ill4yWGrrKhGhqoGz++5kJ8Wmsioa6UEF/2YxwtLTWZTCJUNsUM8S0EVrrbA6vc7YF+4H5gUUobDUwwXzcBG4poj1DmxMZI7AoUmHOhaizEF+3uhoGBpPuUa86Ys6UlPndKECqFYob4ZgJrE96vA45IafMj4LFAm/vbwFjgJKsTKaUuBC4EaGhoKLihQnmQKlC5QnxgzIUK15gHNXifBseg7HhQ4VBt3SchGZfXPxu4B5iK4RzcGvR5bnJ5/T8CvgbE5iFcHvR5FpvHXAZcAESA/wj6PI+a25OGb4I+T9LwTaEodZLEucBd7vbALOB04N5AmzvNJq31rVrrBVrrBU5nUYfNhBIyNA+qteZCV7GxJIc5BmeQK6GkpeZCoUIaYeDSoM8zDzgSuMjl9ceGXW4M+jzzzZ+YOM3DGHrZHzgN+I3L63e4vP604ZuE8xSUYgrUemB2wvtZ5rZELgAeAHC3B14CGoHcVUKFqiQuUGbHmyuLD4wQX7jGQnxWQp7Tg2qVEF+tE/R5NgZ9njfM1zuBAEakKxOLgPuDPk9f0OdZDazEGLpZCKwM+jyrgj5PpuGbglBMd+Q1YG6gzb0XhjCdA3whpc0a4BPAXYE2txtDoGS6e42SGrqyG+KLdIbQWserKlQ7kVByHT6wk/HYQnTXLnR/P0rC5NWKUym1NOH9rVrrW60aurx+F3AI8ApwNHCxy+v/ErAUw8vqxBCvlxMOW8egoOUavikIRfOg3O2BMHAx8CiGUj/gbg8sC7S5rw60uc8wm10KfC3Q5n4b+CPwZXd7wEa3JFQjkVAI6uupGzvG9jGO1lYw09NrhcEQX+IYVO4QH0BYUs2rmXBsKMT8ySRO44C/At8N+jw7gFuAOcB8YCPwi5EyOBdFHdAx5zQtTtl2ZcLr5RjqLQjx8j0xT8jOk0q83NH27TiamnK0rg4ioRAohWPChPi23AJlTmoOdVI/dUoxzRPKGJfXX48hTn8I+jx/Awj6PJsT9v8eeNh8m22YJtfwTUGQjAOhbIiEQjjzSJ2GhHJHnZ2w117FMq2siIRC1E2YgHI4bB8TG9eTcajaxeX1K+B2IBD0eW5I2D496PNsNN9+GnjPfP0QcJ/L678BmAHMBV4FFDDX5fVnG74pCCJQQtkQ6QzhaGrO65harGgeCXUmCTnk9qBiZZFq6T4JaRwNfBF41+X1v2VuuxwjC28+RtAiCHwdIOjzLHN5/Q8AyzEyAC8K+jwRAJfXHxu+cQB3BH2eZcUwWARKKBsiXSEaXK74e1shvljHW0OFUGNLbSSSy9mM1+MTD6pmCfo8z2N4P6lkLC8X9Hl+DPzYYnva8E0xKPU8KEGIE07peDN1ul27B+KvY+NOtSRQqfcJ4H+XrMx6TPw+SZKEUEGIQAllgVV9uUwsWz+4gq4aMwZVX19TAmXlQa3a2p31GOV0UtfUJCE+oaIQgRLKgmh3T1p9OTsxPqUUjuZmwrUkUAlLkuSDs6UlPodKECoBESihLLCqjpCxkkRKFN3R3FwzHlS0rw+9e3de5aBiOFpaZAxKqChEoISyIK86fCm6VUsCNZR6hTGkHp9QaYhACWWBpQdls6ZITQlUZ3qZI7s4WpplHpRQUYhACWWBdYjPHo7mpvhih9XOYEHd/MegHE3NNXOfhOpABEooC4YVumpuJhLqslV5otIZ7n3SfX1Ed+8urFGCUCREoISyIN7xJtTTS5zv9G9H7pHxWEdzMwwMGJmAVc7wBMqcCyVelFAhiEAJZUEkFKJu/HhUwoKUX793cOWAq884YLBtiqcU66xrYRwqPgaVtFjhIK9e/omMx8bKSNXCfRKqAxEooSywmnz6/uZd8dd1dYO55V+9e2lSu5oSqFCIujFjqEtY02l3fyT+usGZ+Ss9eJ/EgxIqAxEooSyIdHbaDlv1haNJ72tNoFLv086+wVBotkUb4yG+GrhPQnUgAiWUBVYdr13iAtUVKpg95YpVHb7EiGe2RYVrSciF6kAESigLhiVQNVQwNtKZXaDqlMJz0HTLY+P3SZIkhApBBEooC0Sg7BEJpdfhSywJpYDvfmLu4L4E9aprbEQ1NtbEfRKqAxEooeTo/n6i3d3xMZJ8UfX11I0bVxOD/7nWglIqOcyXOjXM0SyTdYXKQQRKKDmxDnMo1RFi1EK5Ix0OE92xI02g0lfTzZIo0dRU9fdJqB5EoISSE+swU5cxz4daEKhMQp6tgEbqLvGghEpCBEooOXarI3z7xH0y7qsJgcpwnxIFapTTkfUc4kEJlYQIlFBywjYF6nOHzc64z9FU/QVjMwpUgp/kqEsO76XWJxQPSqgkRKCEkmPXg8o1x6faPQM7HlQqaSE+04OqhcK6QuUjAiWUnEIJVHTHDnQ4XDjDyoxYHT5nSh2+9CSJzDiamyEcJtrdXUDLBKE4iEAJJScSCqEaGlCjR2dtl72MT7Nxrh07CmlaWZE5xJdM9jTz2JwxCfMJ5Y8IlFByYnN7sgkQZEuero0yPpFQCFVfjxozJml7qgg5E8ahNLVb+V2ofESghJITCXVlDe95DjRK99R6nblwBiFPHU/ac+LYjOeopbqFQuXjzN1EEIpLrjJHB882wlIq2wTUGlhKItKZXuYI0tfHSiQtxFdDZaGEZFxe/2zgHmAqRmT41qDPc5PL628F/gS4gCBwdtDn6XR5/Qq4CTgd6AG+HPR53jDPdT7w3+aprw36PHcXw2bxoISSk0ug6kyPIbsHVf0db6b7FI2mt83EoAdVvUIuZCQMXBr0eeYBRwIXubz+eYAXeDLo88wFnjTfA3wSmGv+XAjcAmAK2lXAEcBC4CqX1z/0MjBZEIESSo5tgcpyjloI8WUUqHyy+CZMiJ9LqC2CPs/GmAcU9Hl2AgFgJrAIiHlAdwNnmq8XAfcEfR4d9HleBppdXv904FTg8aDPsz3o83QCjwOnFcNmCfEJJUVrTaQr+xhUfMw/i0LVjRsHTmdVd7yZFnXMOg8qZZ9qaKBu7Niqvk81jFMplbjc9K1a61utGrq8fhdwCPAKMDXo82w0d23CCAGCIV5rEw5bZ27LtL3giAcllJTorl0QDmcVKBX3oDIrlFKqqsv4xIXcYgxqXWdPXudyNDURlRBfNRLWWi9I+MkkTuOAvwLfDfo8SfMygj6PJn3mQskoqkAF2tynBdrcKwJt7pWBNrc3Q5uzA23u5YE297JAm/u+YtojlB92JunGPKjEKj47egfS2lVzNYnozp0QiVjep2/+4Y2Mx6WmmYNxn8JVep+E7Li8/noMcfpD0Of5m7l5sxm6w/y9xdy+HkisLzbL3JZpe8EpmkAF2twO4GaMgbZ5wLmBNve8lDZzgcuAo93tgf2B7xbLHqE8sSNQcQ8qIUsiGrXueKtVoOxW27CDo7mZaBVnOwrWmFl5twOBoM9zQ8Kuh4DzzdfnAw8mbP+Sy+tXLq//SKDLDAU+Cpzi8vpbzOSIU8xtBaeYY1ALgZXu9sAqgECb+36MQbflCW2+Btzsbg90ArjbA1vSziJUNfY8qPQkCatxF0dzMwNr16bvqAJiZY7yXdTR+j41MbC+KA+8QnlzNPBF4F2X1/+Wue1ywAc84PL6LwA+As429y3GSDFfiZFm/u8AQZ9nu8vrvwZ4zWx3ddDn2V4Mg4spUFYDaUektNkXINDmfgFwAD9ytwceKaJNQpmRT4gvqYSPRTtHcxO9775bMNvKifiaWXku6mh9n6SieS0S9HmeJ3Oq0Scs2mvgogznugO4o3DWWVPqJAknRo798cC5wO8Dbe7m1EZKqQuVUkuVUkvDVVwMtBaJewYpBVATsZr/ZJVaHQvxVWOl7qGG+Hb1pn9f6pqaiOzYgc5nApUglIBiCpSdgbR1wEPu9sCAuz2wGngfQ7CS0FrfGstMcTolM76aiIRCoFR8fo4VuWr0xXA0N6P7+9G7dxfIuvJhqAL156XpIU9nczNEo0bihSCUMcUUqNeAuYE2916BNncDcA7GoFsi/8Dwngi0uSdhhPxWFdEmocyIhELUTZiAcmReCbbOQqAsPagqLuMT7uyEujrqsgi5FVa+ZF0V3yehuiiaQLnbA2HgYozsjgDwgLs9sCzQ5r460OY+w2z2KNARaHMvB5YAP3C3BzqKZZNQfhjVEbIP/NdZOFCZkiSgOsv4REIhHE1NqLrhf2VroeqGUB0UNV7mbg8sxsgESdx2ZcJrDVxi/gg1SCQUwtmcfeDftgdVxR1vrorvmbAKjsY9zSoUcqG6KHWShFDjhHPU4QPrJIlIhnlQUK0Clfs+2aWa75NQXYhACSXFTsdrlSSRNcRXhR1vpLPTsszRUKiFpUmE6kAESigpdkJXMXlyJAxGWYX4nNUsUIX0oCZMAKWq8j4J1YUIlFAyov396J6erHOgYHAManxjfXybVYhPNTRQN2ZMVXa8dgTqmjMPsHUu5XBQN2GCjEEJZY8IlFAyIp0hIPfcHofFp9RCn+LnqjaBiu7eje7ry3mf9p0yzvY5q7nyu1A9iEAJJcPu5NN509PT0DMt0leNlbrtVNsA+xOaQcodCZWBCJRQMuwK1B4Tx6Rt27arz7JtNXpQhaxkHkM8KKESEIESSsZwOt7zbnvFcns1C5RzCOn4majG+yRUHyJQQskYjkBlqgdrdLzVFbqye5/y0CcJ8QkVgQiUUDKKErpqbia6Ywc6EinYOUtNOD4GlX0eVF4eVFMT0Z070bI6gFDGiEAJJSMSCqEaG6lrbCzYOR3NzaA1kR07CnbOUhMX8qb8FivMRjXXLRSqB1u1+AJt7lHAZwBX4jHu9sDVxTFLqAWGMvl036njeH/zroz7Y5lukc5Q3ov7lSuRUBd148ah6uuztttnynjb54zfp1AI58SJwzFPEIqG3WKxDwJdwOuAdfqUIORJJBTKu3zP90/ZjwvvfT3j/mosdxTp7LQl5E2jswtYIvH7ZIYPBaFYuLz+X1ls7gKWBn2eB7Mda1egZrnbA6flbZkgZMHoePMLW+Wa61OVAjUEIc9FzLsMi0AJxacRaAP+bL7/DLAaONjl9Z8Q9Hm+m+lAuwL1YqDNfaC7PfDusMwUhAQinZ00zpiX1zG58gCqcdHC4QjU8o3WY3Gx81XTfRLKloOAo4M+TwTA5fXfAjwHHANk1RS7AnUM8OVAm3s1RohPAdrdHjhoyCYLNc9QxqByZapVqwfVsNdeQzr2X+9tstw+GOILDdEqQbBNCzAOI6wHMBZoDfo8EZfXn3XIyK5AfXIYxglCGjoSIbJjB44cixWmkkug6saPB4ejugSqszNnmaN8qRs9GtXYWFX3SShbrgPecnn9T2M4N8cBP3F5/WOBJ7IdmFWgAm3uCe72wA5gZ4EMFQQAIw1c6/w9qBxBPqWUUcanStKn9cAA0e7uvO/T9KZGNnb1Zm3jaG6WJAmh6AR9nttdXv9iYKG56fKgz7PBfP2DbMfmmgd1n/n7dWCp+fv1hPeCMCQiNiefpmFjMmo1lfGJlznK8z7912ltOds4WlpEoISi4fL628zfhwLTgbXmzzRzW06yelDu9sCnzJcvAM8Az7nbA+1DtlgQTIZaRcJOsYRqEii7VSRSqavLfacczVIwVigqlwAXAr9I2JZYpOzEXCewOwZ1O3As8OtAm3sO8AaGWN1k83hBSGKoHpSdJSUczc0MrF8/JLvKjcE1s6zvk9XCjXZxtrTQu2H5kI8XKguX138H8ClgS9DnOcDc9iPga8BWs9nlQZ9nsbnvMuACIAL8R9DnedTcfhpwE+AAbgv6PD6r6wV9ngvNl7cAjwR9nh0ur/+HwKHANXZstiVQ7vbAkkCb+1ngcOAE4BvAAaaRgpA3uTyoZRusx5DselC9y5YNzbAyI5eQP5IhS8/efWoRD6q2uAv4X+CelO03Bn2e6xM3uLz+ecA5wP7ADOAJl9e/r7n7ZuBkYB3wmsvrfyjo82R70vnvoM/zgMvrPwbDa7oeQ7SOyGWwrVp8gTb3kxhhvs8DK4DD3e2B3EFuQchArON1ZshO8/3LOpJspyBqNYX4IqHsixX29A+92KujuZnIjh1SMLZGCPo8zwLbbTZfBNwf9Hn6gj7PamAlRpLDQmBl0OdZFfR5+oH7zbbZiFVu9gC/D/o8fqDBjhF2i8W+A/RjeE0HAQcE2tyjbR4rCGlEQiFUfT1qTPpihNnIlcUHRser+/qI7t49VPPKhriQZ/A0hx7gM72yKiusW+M4lVJLE34uzH0IABe7vP53XF7/HS6vP+aqz8RIaIixztyWaXs21ru8/t9hODiLXV7/KGxqj61G7vbA99ztgeOAs4AO4E4gZOdYQbAi3NmJo6Ulr2XKwa4HVT3VJMKdndSNHYtqyPDAOQyFqsZJzTVOWGu9IOHnVhvH3ALMAeYDG0lOaCgUZwOPAqcGfZ4Q0EqO9PIYdquZX4yRJHEYEATuwChVIQhDIhLqGlL5HrtjUMY1QtRPn573NcqJYtThixEvdySp5jVL0OfZHHvt8vp/Dzxsvl0PzE5oOsvcRpbtma7RA/wt4f1GDDHMid0svkbgBuB1d3tAAtbCsLFboTsNm2NQUB2eQaQzu0DpYbhQiUtuCLWJy+ufbgoGwKeB98zXDwH3ubz+GzCSJOYCr2J8A+e6vP69MITpHOALxbLPbhbf9blbCYJ9IqEQo/bdN3fDFOyOQcWuUelEOjtxtGYWqExZ5nZCoU5ZcqOmcHn9fwSOBya5vP51wFXA8S6vfz5GsDgIfB0g6PMsc3n9DwDLgTBwUUKx14sxQnYO4I6gz1O0lFm7HpQgFJShLLUBMGfK2Jxtqk2gRs3ZuyjnlormtUXQ5znXYvPtWdr/GPixxfbFwOICmpYRWfJdGHF0NEqkK/sY1EcdPZbbp4zPvTy8s8oEKltBXT2MJAk1ejSqoUHWhBLKFhEoYcSJ7tgB0WjG1GmANdutBcoOqqGBujFjKl6gon19RHt6hj0G9c66kOV2pZRZj896vyCUGhEoYcSJV5EoUnYaQF0V1Jkbzn1KHKvr7otkbFdNk5qF6kMEShhx4gVQh5LFZxNHczPhCu94BwWqOWOb4YT4jHNLRXOhfBGBEkackfCgnFXgGURsCLkepkI5Wir/PgnVS1Gz+AJt7qSqt+72gGXV20Cb+zPAXzBq/Mk6U1XOYIXu5qJdw9HcTH+FVzQfrFdYPCGXRQuFcqZoHlSgze3AqHr7SWAecG6gzT3Pot144DvAK8WyRSgvhrxYYR44mit/8N/OWlCZ/Ce7E3idLS1EurrQkczjVIJQKooZ4lsIrHS3B1a52wPZqt5eA/wMyL4+tVA1REIhcDqpG5t7TtNQcUxsJbpjB7q/v2jXKDZxIW/KPF8sOoz1oMD0YqVgrFCmFFOgcla9DbS5DwVmu9sD/mwnUkpdGKvQG5alASqeSKgTR0tz3oVi88E5cSIA4Qr2oiKdIeomTEDV12dsk0meRtc7EtpkFrHBenyhoZgoCEWlZEkSgTZ3HUZ9v0tztdVa3xqr0Ot0SvGLSifc2Zl1DlQhcLS0AhDptLv8TfkR6ezMmsEHMHaU8X3Ya1KyN3pi2xRb14hNApZECaEcKaZAZauGCzAeY32ppwNt7iBwJPBQoM29oIg2CWVAZHsnjomTbLU9aFZ6eGuhq5VRzuwfXedEQ6DCHR35G1gmRDo7cWapIgHQPNrwrq7/3EFJ25O80yxRwMGyUJIoIZQfxXRHXgPmBtrcllVv3e2BLiDeSwXa3E8D35csvuon0tFB4/7722prFQScM2UswY7urMc5Wo0QX2R7BXtQoRDOKdk9oYg5BhXzpPJFltwQypmieVDmshyxqrcB4AF3e2BZoM19daDNfUaxriuUP+Ht23GYY0Q5sRinUkplrOIdw2lWAK9kgQqHOnNmOg6YN8JZN7TxPKcZQgxX8H0SqpeiDui42wNpVW/d7YErM7Q9vpi2COVBtL+f6M6dcQHJhVW3W6cgmmOCat2ECeB0Eu6ozI5Xa22EQnOM1UWiUQCcdUN71qwbOxY1ejSRCr1PQnUjlSSEESXm0cRCcEPBoVROgVJ1dThbWghvr8wxqGh3D7q3F+ek7PdpIGLcB8cQPSgAZ2trxd4noboRgRJGlFjSQiyJIRdW/a5SKj72kg3HxIkV6xlETMHIFQqN3QenI7NA5bpTjkkTiWwTgRLKDxEoYUTJ14OymivlqFO2Jqg6W1sqdgwqvC0m5NnvUzhaCA9qooxBCWWJCJQwouTrQVnhdKh4cgDA0yu2EOpJrxjhqOCON+ZBWQnUq6u3syG0GxisJOEYxqRnx8RWwh3bhny8IBQLEShhRImF3Gxn8VlQX1dHOGIkB+zoHeDLd77GV+9On53gnNhKpELnQcU8KKv7dPbvXuKE658GBkN8w/KgJk4isr0TbSZcCEK5IAIljCiRzu3Girc26/BZ9buOOiPNPBrVDISNTnXVtvR5UY6WVqI9PUR7K6/MYyxpIVMl8z7z744li9QNS6BaIRIh0tU15HMIQjEQgRJGlHCHMQfKbh0+ZZFoXm8mBIQTwnxW6yI5zDBiJY5DRbZ1UNfUhGpoyN6uICE+c1JzhXqbQvUiAiWMKOHtHThbs48/PfzOhqz7nQ7jYxuORuNCZ5UyES8YW4GZfOGOjpwJEgARnTvEd95t2VeyqeT7JFQ3IlDCiBLp2B73bDJx5wvBwTcW/W6sasJARFtO5I0RL+NTgXN8Ih25hRwGkyTqhuFBOeMelCRKCOWFCJQwohgeVHbPQGV4HSPeGecqdxTzDLZXXp25cEcHjkm5C+rGopzDGIKKh/jEgxLKDVm7QhgxtNa2PKhE6h3pz1CxzjhXNYnBgrGV50GFt29nrA0PqhBZfI7mZqirk1TzKsfl9d8BfArYEvR5DjC3tQJ/AlxAEDg76PN0urx+BdwEnA70AF8O+jxvmMecD/y3edprgz7P3cWyWTwoYcSIdveg+/pyelCJWFVIiGWsJQpUT1/6kuV1Y8egRo2qOM9A9/cT7eqyFPLUChpRrVHKekKzXVRdHY7W1oqtuiHY5i7gtJRtXuDJoM8zF3jSfA/wSWCu+XMhcAvEBe0q4AiMVdOvcnn99gprDgERKGHEGCzfk90zSOxrrYqgxnZH9WDb/kiU/vDgPJ5oVPNkYAt1ra0Vl8UXNpe+2DBuMu9v3pm074cPvpf0PhLVw8rgi+GcWLmTmgV7BH2eZ4HUf/IiIOYB3Q2cmbD9nqDPo4M+z8tAs8vrnw6cCjwe9Hm2B32eTuBx0kWvYIhACSNGvIpEjtBVYmp5vYUHFc/cSwnx9UcGBer+19by1XuW8rjriIpbtDC8zQi1LQqM5ZQbn03a9+ela5PeR7Qe1hyoGM6JrUS2SYivBpka9Hk2mq83AVPN1zOBxA/bOnNbpu1FQQRKGDFiHa/TxuB/DKflGFQsxAc9/YOhvcRuOlYKaPuESfHrVgrZPL5E8e4diBAtkAflmDhJPKjKx6mUWprwc2E+Bwd9Hk3u2sIjigiUMGKEt24FwDl5cvaGSSE+izEoc9MtT6/kY76nsp7KMXYs4S1b8rKz1ISzVRZPuB1tP3yESHR4CRIxnK2tFedpCmmEtdYLEn5utXHMZjN0h/k79mVZD8xOaDfL3JZpe1EQgRJGjPDWrWAOyNvFqvONeVAPvp15Qq82HwTrxo4lsn07OhzO09rSkS3rMPV2RLUeVop5DMfEieieHqI9PcM/mVBJPAScb74+H3gwYfuXXF6/cnn9RwJdZijwUeAUl9ffYiZHnGJuKwqSZi6MGOEtW3BOnIhyOGwfY+VBxadBpQQjrGITjrFjQWvCHR3UT51q0aL8CG/dhmpstNyXOiE3WrAxqNhcqA4axowZ9vmE8sPl9f8ROB6Y5PL612Fk4/mAB1xe/wXAR8DZZvPFGCnmKzHSzP8dIOjzbHd5/dcAr5ntrg76PEWLDYtACSNGeOvW3OE9kseSLNPM42NQyZKUmDQRexkrShvesrVyBGrLFpxTpljuS70bBcviM68X3rqVhtmzc7QWKpGgz3Nuhl2fsGirgYsynOcO4I4CmpYRCfEJI0Z467aMHW8mxjfWp22LZZ4PRJKXh7Baw9AxzhSorZUzDmUIlLWQp853KpgHFROoChuvE6obEShhxLDtQSX0t02jLQTKbNA7kLJ+kU5/mehBVQoDW7dQn8mDStGiwnlQxv9FBEooJ0SghBFBh8NGAVRbIb7BDveCY/ZK35+hQ9YWo1COMWNAqXgGYbmjtSa8ZSvOyXZDfJmz+G4/f4Ht6zqam1ENDQxs3mz7GEEoNiJQQ+T9zTtxef181JG+UJ6QTrhjO2idMXRlxV6TxmatxZeK1rA+tJv1od2DCRQOB46WlooRqOiuXejdu9NCoUuD29Fap4mzNksdWbHAZT9bUimFc8qUivI0S80Vf3+XL9/5aqnNqGpEoIbIX15fB8C/3ttUYksqA9tzoBLIFLjKtLTEph29HO17iqMT5kYpBX1TZ3BU/0Lue2WN7WuXCrfvOa477NwkgXoysJnP/vYlzrrlxTQximqd0YPKd2jKECgJ8dnlD6+s4ekVIujFRARqiBRg6klNEUtSyCRQR/7kSa7+53IgYZwlw03OdO+/ds/S+OvEcF/nVCMr7fbnV9k3uET0RzRLZh+WJFBrthtzk95cE0r726M6s2Cnbu8diODy+uMPV6mIQAnlhgiUMCLEQkeZsvg27ejljhdWs3b74ETRTB1vpjGozu7+9LYoHC32Q13lQj5ZfJlCfKnb73hhNQC/fOJ9y/b1U0WghPJCBEoYEcJbt4JSOZcx//RvBsNYmUN81tt1hjexyhUfbu3G5fXzzrqQHZNHlDNvfoHDrnk8/j4xSSJxulfqn67z8KCue2QFAOs6d1u2d06ZQrS7m8guGVcVygMRqGGiNdz3yhpcXj89/ZVTTieV1DlFhSa8dSuOlhZUfXraeCLbdvXFs/gyeQaZOmSrBQyVAmdL8nI1z31QfsVj31oboiPBA4zN34Ls1TujOvOy9/lmn4/EXKhIVKetaVVJ/OKxFbi8/lKbUTOIQA2VhC//b55eCcC2nekhpkrgzTWdzL3iXzz3QfEGfMObNuGcZq+SQ2xdp4yeQYZPrbaYBwW515+qZIxafLk9qDfW5F72Pua1FVOgjvrpk8y/+rGinb/Y/PqplaU2oaYQgSoA8dpw5VWp3javrDZKaRXTsxjYuJH6adOTtn317qV88fZX0tq+Gsxe2svO6rG3PmskRCjAkbK8RwHmtY4o1zy8PP461Xat7XmaZ/3mxaR9H27dhcvr5731XfFtzqmxckfFE6gtO/vY2Vu5kQZhZKl5gerY1Yf/nY25GwLdfWFue25V2kJ5sY7AIsJUFLbs7OUuc8C7kOTqt+97ZQ2PvGfvXqUysGkT9dOmJW17IrA5qyhmEqJMHoPV7Vcqv9T2SiN7Fl/m455YbkzIfSihInzcgxrCZN2BSJTL/vYum7p68z52OKzcspO/vWGdlTiSvLe+i8eX27tvG7t2225b69R8sdiv3bOUN9aEOGLvk5g0blTWttf6l/PHV9ey16TE8QGdsAT5yCjURX94g9eCnRy772TmTB435PNorS3r12Xi8r+/C0DQ58nrOpFd3UR37MA5fVruxglk6mAzdrwWf4tC4WhqSts2XF5e1cH82c2s2d7D+EYn05tGD/ucQ0FrnTHkacfTTMQxbix1Y8cysDl/D+rpFVv546tr2Lqzj9tsVLCIffaGu5bVSTcYKw6fdeisYZ1nuHzq188D9r4bZ978Apt39OX9PapFat6DimU02Rm4DfUMAEYNuEJ0ckOl07RjuIPN1zwcYM7li4surOFNhteVGuLLhd3stBhWIValQGXqwYfIyi07OefWl/mffy7jlBuf5aifZl80sbAk/+3rQ7sz3g87pEYDnNOnxf9fhThfJq57dAVzLl8cH2+sNOz+nVZs3tFXQEuqm5oXqExcb36BEol9JlP7g9iTqtVH9vWPtuPy+lm5ZSevrt7Ou+u6LFrlR6Gk8a4XjTBhtu/akT95kuN/viTnuS7/+7v851/eThrTiDGw0ai2UT8jP4GyO78nht0+Y7hjUF27jQeEFZt2Du9EQyL5j2zftDNvTykb9TNmMLA+fSHInv4wTyzfzFE/fZL2TTvS9scs0ED7ph24vH6eeT9z0s3/vfQRAL3hSCHMHpZgxI6/75U17O6P8LV7lnLcddk/83Yu9/c31+Hy+tnVZz3mNlyba4GihvgCbe7TgJsAB3Cbuz3gS9l/CfBVIAxsBb7ibg98VEyb7PK/SzJn6yiSF82LfzktPm//fNt4Gn3ug238j1kpYbiu/Uh+rDftsDemECsj9MDSdWl/30Dcg8ovxJeJTB5DOINHWfh+IPMDSbHZtstqMvLQSRW3+hkz6H3n3bR23//z2yx+13jQuPXZVdxw9vyk/TEnVWvNa0EjY/CxZZv4+L7W43+FvneRqLZcO8wuS1Zs4fK/v8v7m3faGh+yE3W45ekPAVjfuZv9po23OAcMw+SaoGgeVKDN7QBuBj4JzAPODbS556U0exNY4G4PHAT8BbiuWPZkIvYxy/dzoizfZP7QFnPqx9adffzwH+/lPZcp1jlFizwvJbxxozFJN8+1oDJ5Bvn8rzaEejn1l88O+XjL65snKOZt+879b9puO5RhnK07jTBT6lN8/YyZREIhot3Jk3XfW5/gNWUY6wPjnqjMzQZPYV43X9Of+2Ar97wUTNue6eHELrv6DE9u6y574Tc7l1PxBxnrxiM1Zl3JFDPEtxBY6W4PrHK3B/qB+4FFiQ3c7YEl7vZArLbNy8CIjnT+9pkP41/U4fRa2TyoQU+rcB/G2PU+3LILgP/55zLuffmjIWcGFftrMrBxE87Jk1H19fQORPhgc3Jo7MOtuyyPy1hJIo8e+YlA+j2592XDSV+1dRevZUhpf/2j7Vz+93ct/292r/7mmk68f33H8hy9AxH+8eZ6Y3kNiweLB99KD7NlYighvtueH8wC7e4Ls9L8LNXPnAHAwAb71zeMMH5pkqMLOQ/L0/Yv3v4qVz64DCDpvg13onl3hjBcJvKZUpLpPux/1aPs6B3I67q1RjEFaiawNuH9OnNbJi4A/mW1Qyl1oVJqqVJqaTg89DkUtzz9IT/489vx975/ted1fKYPZbYxKKtkisXvbuSlDztwef3DGpP65h/eAAaTJfLRwJ7+cPy4+JNclr5i5zC+SAObNsYz+L73p7c4+cZnufvFYHz/rgzzYvLO4rPAqv+LJcac+Itn+NxvXwIguM0og/S+KZ6f/93L3PfKmuxP5jlu+L/d9gr3v7aW7n7j6fx7f3qLr99rFLS97pEVfPdPb/HcB9viY1ql4PfPrebCe5dy0g3PoLWmfsbQBGrwIU1nLEabSOzOPTqM1QB+9eQH8ddDSRhadPML7H/lIwBc9rf0sGY27Ilv9rb94SiBDYZnumrrLk64/mm22fTgaoWySJIItLn/DVgA/Nxqv9b6Vq31Aq31Aqdz6MNmP3uknT/b+PJk6oytkiR0QqmZbB5UIm+u6eSpduPJ/qVVhZscm8/D6E0JX2473227c8WsCG8YnKT7/Erj741V34D8Sxrl89RtN8NtsTm/668pc2oS/+4Nod309IczPpCs3d5D74AhRpu6euPCFOPvb67n0WXG/319yAgc5PvkbsVwvfMXP+wAjDBZ/QzjGTJfgYp5YGBUXTcty3ncpQkPjPnSnpCkMpRb8PbaUNr/yK5jZCc8F/uc9IYjObMVf//calZv6+bRZbJ8TyLFFKj1wOyE97PMbUkE2twnAVcAZ7jbAyV7fIh5Oms6ejjwR7lKsaikTjVbJYlYs3cSPCWlVLzjHEpkohAhud7EL6aNL9vqbYNjEolZSd+9/01+8diKjMfpSIT+DRtomG1Eb8MR41p2hCNf4bI8h+2W1nz3T2/FReRjvqc477ZX4iKUeNvCkSjHXrckPnb02d++mHauRGJP/MOdBwTDHwtzmjYMRKI4J09C1ddnFagdvWE+9tMneTOhfNK1/gBA0kTdkRxiKdSlQrvtlSuz5UGZv8/6zYuccuMzg9sTH3CHcN5aopgC9RowN9Dm3ivQ5m4AzgEeSmwQaHMfAvwOQ5xGrM5/tpDK6pQVcn/7zIc5zxcfDM3iQSXO2F8f2s3vzFI8pRooTfRCYh1ctrldMXtT+cdbG9LqkyU+0Yc3b4aBAepnGc8qsY55Y0JHlu+csrz69Iwp6cn3PVbp28qWxP/Rm2tC/NjsjN9NSKmPmG2WtBup1etD1hXDwfhMxUKH9Y46y8y8fBjuJygmkgNhjaqrwzljOgPr054l47z04TY2dPXyyyc+SNv3wRbr8cRUCv2xH873KHFV3BdWdhTker0DEZZvHEwsCXZYLyMTO80rq+1dt9YomkC52wNh4GLgUSAAPOBuDywLtLmvDrS5zzCb/RwYB/w50OZ+K9DmfijD6QrK9y3CCof/+In4gnmJ+P7Vzsd/voQL71lq2REkdi6Jn9mXV3Xw8DsbLJ/2X1m1PeV9B2sSPsC5SD1j7Lq/e3ZVWqmZDaHd/PrJD9Bac+9LwXjR0Lokgcrvy921ewDfv9otB/cT7QHoX2MMQzbsYQpUHtfKt9RRPm3/72X7sxkO/NFjSYshftSRvhxF7M/qj0Rxef1ZO+A7nl8dF+ru/nBalmHeDLO37x0w/o8DUeN3prlQMWJhMaWMz3mmUkP5mKW15ldPfsDqbd0s29AVT2RJ5MG3MotmPtd6bNmmpIfUTKvi7uoLc/2jKywTMHZkGDfdsrMXl9fPb562frB1ef1J42WxqMuqrbLEiRVFnQflbg8sBhanbLsy4fVJxbx+JjZnmNtzxwurOX6/9HkbH3X08FFHDyfPM6pxJ/Z5dyUM9ieG+M659WUApk1oTDtf4vHRqObzZtts86M6dvXROrYBpVTGJ+a314a48N6lvLOui598+kC+cMQefPP/XuftdV2cdsA0fmhmPwV9niQbEr9MD761nu/c/xZfP25vLjvdbXmdH/uXs/jdTRwwc4Ll/qjW1JkyOrDOEKj62ckeVCKZwiqZZCifsbZMTWP3ApK9qUznTsyQtOqcvmUmrNhBMxjqvPg+++nkmShUunusI66fMYPuZ5/L2b4/HI1/zjPRsauPw659Akj+fO8eSB772d7dzw2Pv8/9r65hg/mQ9cUj9wRg/tWPcfaC2fECwFbE/ofdfWEcdYrGeodlu41du7nw3tc5du4ky/2JHH7tE+weiDCrZTTnLNwjad/RPuvqIcvNpIc/2H0AkpBeVsoiSWKkyda/ZXO1kxeOSz+L1VOc1UTXeGo76Z1LOBLlgaVrkzry9zfv5LBrn+CahwNmVYrMYZRY6OyGx42QVawjeCclW9AqTKYUfOf+t4DMIT0gZzVqjZGV5PL6ueK9fnA62dDQlPR3J/LDf7xnuT3fUkdW2GmaKppdPQN5z6t5qj1zhPr9lLR6rQu7JlKhwsQDYc3ba0PUzZrNqt0Kl9dvWW3eLhqd9AAX67yzkSpcYJQYyyZOABfcvZTzbnuZ/a96lKN++mTSvuUbdvD6R0bkIJas8JGNiEXMlv48Bopj/1cr7/95i8LIok/ZqclisW+v6+Lg/7FOhLh5iZ0xp8KR2LlobXyhr/UHGIhEOe8I4wkyNt/pDhsVzAeFJ9nKxGyp8257mTEN6f/6TCutphL7kmeqKRbVOt5h+3ubOH+PffjkjZmfyNMyqUwKkSRhp+0jKZlTuRIc8uWs37zIPy8+Jv5+265+ZrcWrgZdocZznn5/C1c+uIwvzpzNH0+4BMi+BEss+y+bXYl3//RfWX8G3lob4sybXwCGXl8ycTwwVqsy9bpBnye+KGQ+op7P/R2IJwGl7/s3C7G/84XVfOWu1+xfYJi4vP4gsBOIAOGgz7PA5fW3An8CXEAQODvo83S6vH6FUQnodKAH+HLQ57EfKigANelBQfZEicxk/6T+/rlVvLU2lNcZQz2D4a37X1sb/wK9+GEHL5kdQLY+tj8c5aVVgx1FomfX0x/m/c3p3tYLKzssJ/UO2CzcGXuiTFynKBGtYdyoQQF0mnNrMpFvKK8AiW9JJIbZbnn6Q9sD/fnwhd8nh8J2ZxDloVAoDyo2ATYw0EjYMXLPrjFxgmQxuOHx9zMeE9iY2xvrD0f5wyvJobbYulh2H8YMmzS7+sK2FvQc9KDsnfuJwBb6Rr5g7glBn2d+0OeJlZ33Ak8GfZ65wJPmezCqAM01fy4EbhlpQ2tWoIZDpsH7B9/awJk3v8BZv3nBcr8Vd780+AVavmFHvLP2v7ORc+OdWuZP+88fbU8S225z2fm+gUjekw8/2m4vUSPXnI6dvWG8CdeOVSfIRL6hvHzGoNpLUtA1nZ0p853KxS4rdEND0vvEOWvFJlFsf/XkB3RkmLj6yZtyj5H99pkPueLv1uHjfGjftJMDrnqUL97+as624Wj21aBzUaKQ3yLgbvP13cCZCdvvCfo8OujzvAw0u7z+/Co+DxMRqCFy/2trMu57Iz5RMT+snoRf/6iTi+7L7FX//rnksF9sfGhnXzivcjlg76kUBgf4M5Ho0QHx6gSZyPe7XMjq3dVAoUJ8B89qAiCikruFWAp+vmjI+5+bGu6NJVhY8ViW0l4/e6Sd7d3DS9+PkRoCTmVVQqmuWIhv4wgv3GjijFXcMX8utGijgcdcXv/rLq8/tn9q0OeJzUjfBEw1X+dbDajgiEANkeHOXbEisY5ZjM/c8mJBB9TzoddiwBoGnxIzkTrH6H97s1cxz/RlLkSaeS2QT124bLxtJtLkG6bORDSq6SvQchr5csvTH7JkRWGmVub6tJ11y+CYZSTHd6PIhGMVd8yfWy3aHBP0eQ7FCN9d5PL6j0vcGfR5NGWUu1EzAlWIYq2xgdjEOTGFpNzWh2n74SOW23Pp5UCKh/XwxqF9aTMWixV9SiKf8ZSR5G9vrud3z2TPvismhXqwy+WxhxKSMn7+aOZxMzsUuw8I+jzrzd9bgL9jFPXeHAvdmb9jym6rGlAxqRmBuuSBodf8ilHslTCj0cIsR15scn3xY0vDD5eMCxZWwD0aSXoKmHCRieFWCy8FzgI9yeRzluEWe73ywWUZx92Gi8vrH+vy+sfHXgOnAO9hVPg532x2PvCg+foh4Esur1+5vP4jga6EUOCIUDMC9fc3R1T4h8Sflq5NmzNTjuQSqEIt450plDdQ2jBKTWI1P6ncCabMdfrvfwztwWmkI8qdPYUfPjCZCjzv8vrfBl4F/EGf5xHAB5zs8vo/AE4y34NRZGEVsBL4PfCtYhmWiZqcB1XOZBv4LRdGakwsU79QiU/zlU4kR2JMJfB/L2dObMrOyCpUpioYwyXo86wCDrbY3gF8wmK7Bi4qijE2qRkPSsbVC4fdZeCHi4T4yofUNPlawjHCvWSZDUWXlJoRqLEWlROEymTfqeNKbUJZMbN5dKlNqGpGYoxPsKZmBKpUy1oIhUfmQSVz2eltpTahqslVe7LQSF81SM0IVKnmEgnDIbMQLZqfffJvLfGpg+ReVBOiT4PUjECVoN6VMEyyOUoNIz0wIAgjhHhQg8i3XChbPnVQ5rJfEuWzhwh55SHyNIh8eoWypE7BovmZy37JQ6Y9Vlx7WqlNEPKk3CrKlBIRKKEscdbJR7MQSEJJ5SH6NIj0AkJZIv2qUKtIPtcgIlBCWZJvxfJD9mgujiGCMMIUqjp9NSACJZQljjwLfU4d31gkSwRhZJFSk4OIQAllSb4hPnnqzM0Fx+xVahMEG8hneRARKKEskUUJC0/LmPpSmyDYQJIkBhGBEsoSWZSw8EhGX2UgAjWICJRQluQ7BiVf6tzke0/Lhacu/XipTRhRpJLEICJQVUpzhYdzRjdkXxNHvsL5c/oBmStzlDOTxo8qtQkjiny2BxGBEsqG1rEN8dd3/fvCElpSnTgdlelB1dp4pHhQg9SMQH32sFmW2z++7+S8z/XDT80brjlFp9Rf6Uz3OxuJX0zXxLFZ26b+falf6fOP2jPv61cr0yYMPQV/zmTr/8PZC/L//w6VSohMXnvmAQU7VwX8uSNGzQjU9Z87mKDPE3//JbMDmzoh//DB2Bzhp2z84NT9hnxsJXHuwj14+6pT8jommjCFPlenlOsZ81MHWy9BcfQ+E1l+9ak01tv/6I9yFvdrsvzqU1l+9alFvQYMrTrHk5ceb7l9JFcHqAQPas7koS+ieZJ7KgDnLpxN0OfhkD1aCmVWxVMzApXKDz81j2sW7c85C/fI67hbzjt0WF+Y+gKHWWa1WK+mWuqMLaWgaXT6ONgfvnpExmMSIxvDtX/AogP9/ZcWcNe/L2RMgzMvr8L3mQMtt2fzEn//pQW2zz+mwcmYBiePfPdYjt8vf48+F3ZCeye5pzC+MXnV6Wz/q9ktY4Zky96TsnvGVlSAPnHUnIl5H/PPi4/hTxcemfA/r4A/dISpWYGqd9TxxaNceYvNx+ZMGtYXZu7U8UM/2IK2aRMKer58cNYpXrn8E5b7YrfoohPmJG0/ep9JGc8X1ZqHv33MkLzMVI9rgoU4njxvKvXm8hN2o/zeT7ZZzux/50encP3nDmbFtafRfk16xfChdFht0yYwvanwy7ff/ZWFXHzCPpaivJcpGJPGjWL+7GYAPOYyJ7H3Vhzj7OLOLx+ety1DSd6x+x2d2Tz0e7fPlKF7QDHy7RcOnNXEEXtPjH8WK0GIR5qaEyjfWQdy3WcPSttu9cWx+tDWO9WwPKgT9ptiq13q02wmDpzZxBSLLKdifNaP2ju50/3VuYcw9u2l+J6/hda6SPL1zXv0g1PbCPo8fPqQmThzxO2iGg6Y2cRFJ+xj26bvn7Iv3zx+DoemhEUOmNnEny48kmd+cLzlcTFv7di5mQUT4Bsfn2M5aD2h0fi8jHI6aKxPD/mOG+Xk0pP3tfEXJDO9yRCRm79wKH/5xlG8dNmJaW3++s2Pcc2i/W2fc87kcXz/1P0svdKYQGkN5x1hRBN+6JlH0Odh7Cjrz6Bn01tMuuV6jp+Tfyhq4rj8Q+pW37dvn5j+Gbnq/1mPDZ9+4LSc17jzy4fz+PeOy9ku22f4iL1ak95//bi9c54P4DOHzuTM+TO4ZAifl2qn5gTqnIV7cPaC2Wnb92hND1k4Er4YXz9ub/z/cQxjGpyWIZNzF87m1SusvYkYH8vjqfrp7x9vq92JbVN49YqTbJ/XijPnz+Bv3/pY1jYzm0enCfvJUxxs8Ho5fILmskVGGCz2lL5nyv288fPzWfmT07NeYyjZS1MmNPJfp7VZdmJH7D2RPSeO5bn/PIGHv31M0r5LTzE6g5ggnL1gFrfPC1teY6hJVYfumdyBn7XpDa45fbAT+q/T2piQ8iDyzePncNuXFnD6gdNY4GpletNobjnv0KQ2h+3ZwhePcg3NqBRid02jOe2A6QR9HqY1JXta56aEwX96zgIG3nuXLTfcyJnzk8f6vn/KvmnbEvnasXtzw9kH52VjqibMmTyWS0/Zj/1nTEhpl/4Z+Oxhs5g7xV7UIld04+6vLMz6Gb7t/MP513eOjb+3+7EZ0+Dkl+ccwqQhiHe1U3MClUpscTAFfOGIPfjCEYNfxpPnTeW6zxzE/zt4Bj84dT/2n9EEwOkHps8nWbBnK1PGN8bDU9eeeQAvXXYi916wkGPMsNaYHMkVXzt2sFaa1ZPmwbOaaJtmfIkevOholl99KgfOakprN6tldF7hgiP3npjmgSSiFLzgPZEpKQklay74CtHdu5n1q5s463AXV/2/eTzzn8cT9HloSUgZt0tssNgOc03vdoaNkNjs1jEcMDP5Pi2aP5Ogz8OYBkMg9ps2gRO/eIbl8RHzM/KJNsP7/dbxcyzbpZIqbBNOOJ4vHjc3/v6bx8/hnR8lJ0fUO+o4ad7UJG9n7tThh58yEbtMtiUefnrWgQR9Hv78jaP4yzeOYsJpp9J87jlsv/NOXGsC8XaOOsXFJ87ll+cckvFco5x1nHVofhmAmcYjH/72MTz+vePiIUmXxfjWQlcrh7sMz6ZpdH3cY8z1/fi3I40kn7euPDm+LVPGb+wBYtwoJ+7pE/jnxcdw6B7NfOPjg5+Tn33mQMaPcrLE5oOnYGAvjjREAm3u04CbAAdwm7s94EvZPwq4BzgM6AA+724PBItpUyqxmP8p+0+Lh5Z+8ukD+aijm1ktY3DUKc4+PNnjqnfUsfqnp3P9Yys4c/5MlIJ9zKe0b3x8DlMnNPLpQ2biqFNMbxpNVMPzK7cxvjE5jPjcf55AfyTKJ37xDABXeOZx6Sn7WT6xf/vEffjm8XMIRzVbd/ZlzBrac+IYfvT/9ueddV3c+MT7/Ndpbdz14mo27+hLanfMPpOYPH4Ux+07iUUHJ69c+8Qlx3HSDc8CcOnJ+3KC2TGPcjr45ecPZtrq5ez+za8Z6NjA7N/9llH7GPft34+2V4y0bdp4xjc6aRpdzxOBLVxy8r6ccfAMpjfbT1z42rF7s8DVwmF7Gp3PsftOgsVwycn78skDcod0YsTCuDObGy07wnBHR/yh4Iz5M7g9w7hLLEPU5fVT71Borel95+2kNnWt+Y9LGTaO58bPH8yvn1xJQ0JG4atXfILuvkiWI9N55fJPENWao376FADnf8zFE4EtnJll9eIYsY4eYNoVVxDdsZOT77iWNs/nCX/68+zfNvg9+f4p+3L9Y+/H3+83dTwrNu+MjwE+9r3jeHHlNl5a1cGjyzanXWuUs47PHDaL+15ZAxih2BlNo/nT0rXx/5NSirlTx3PD2QfzrePnsM+UcTz/XydwzM+WJJ3rmLmTePvKU2gaU88DS9fyn395h7MOmcWi+TO47G/vsj60O+361545mBjzr+8cS+/A4H1+44cno7Xmb2+sZ/4ezUn3BYyxpb9962gAXrviJEbV1zGhsZ7PHz748FuIMa9aQBVreeFAm9sBvA+cDKwDXgPOdbcHlie0+RZwkLs98I1Am/sc4NPu9sDns5137Nixuru7u6C2dnb30zS6nroiTbiIRjW3PreKcxfuQdPoem5espIbHn+fD81wwU8WBxjT4OC7JyXHoC++7w0efmcjB8ycwD1fOSJpImsqLq8fICmVPnV/zAN4sn0L133moDThTTxH4utoTw+9K1bQs3QpO/yL6WtvZ9TcfZhx/S9o3K+y4+Zaa15ZvZ0j9mpFKRX/uy+fsJlRTyzmiM5VTDjlFPqPOpaZh8/HOW0aymHtCUd27SL0/kp2L32dgUcW0x1o5/aPncfEjx/Lbct38OWPufjRGfuzsWs3fQNRyyf+SkJHInT8/ja2/u//ohwOxp9yCuNPPIHGAw+kfuZMvnbP6zwR2Mxfv/kxfvDnt1m1rZsnLvl4Wuccu+ePfe84TrnxWS46YQ4/OLUt7Xprt/dw7HVLOGG/ydyZZSL3Hc+v5oGla2nftJNnfnA8eybMqQv19HPOrS9z83mHMmfyOP68dC0/+Ms7tF9zGo31Dp5q38z4xvo00Skku/rCOOuU5djlcFBK9Wits36oXF5/ktMQ9Hl82dqXmmIK1FHAj9ztgVPN95cBuNsDP01o86jZ5qVAm9sJbAImu9sDGY0aqkBtueFGBtatIzEynPS3J14xtj1pf1IDe8fbOFdSaf142zzOZTZ+q34SEyM9zIp0J5/DbKvN1x11jfxuwkFcGlpKo44ktTlv6umsq5/A0+v+yEdqLMF+J0cGXyfa1RW/WuNBB9Fy9udoWrQIVV/Z5ZSsSBTmvlWr2H7nXexYvJho7DPncOCcNAnVOIq6BuOBIdLdTXRXN9EdO+LnGeV203LuOTSdeSb/9/oGrnxwGV86ak+uXlS4CZ3lQv/atXTcdjs7H3mEiPlZUfX1dE+bxfOzDuGM/o/478kf54XGGfyjZwmTdL9xoFKgFM/WTWZN3Vj+LfIRqMSQnhpsZ7JETWaB7mQ81uOF1cDkb19Mg8uV93G5BMrl9Vs6DUGfZ3mmY0pNMUN8M4G1Ce/XAakTK+Jt3O2BcKDN3QVMBLYlNlJKXQhcCNDQkP/YBkD/6lX0fbAydsLEk2d4Hb82aRszHZfrXLmOz3iuxJfW1zpo9zoAtOW5BjdNivZwxfaX06+lFDd3LGGtczzK4cRV18+cSWNw7u/BOXkSo/bdl8YDDqB+qv1xokrkP07cJ35fRu29N9OvuZppV/6Q3vYV9C5fzsDGDYS3bkX39qEHBkBr6saOpW7sWJxTpzJqzt407r8/9dMGw4yfOmgG97+6lq8eYy+rq9JomD2b6f/zI6b99xX0trfTu2w5A+vWMmHrNj7duRUddXL5ludoVxOYsGMNhjzp+APeEXolRwB9Wqc/hKU8QB9l/u4dgb+rVER7eop16oXAyqDPswrA5fXfDywCalKgCobW+lbgVjA8qKGcY9avf11Qm6qRPYH88quqj0tOSZ+DperrGX3gAYw+cGjeT+vYBhYnZHdVK8Z9OpDRB1pPbLafGC8MEadSamnC+1vNvjOGHaehrCimQK0HEgc5ZpnbrNqsM0N8TRjJEoIgCEJ+hLXW9kuYVADFFKjXgLmBNvdeGEJ0DvCFlDYPAecDLwGfBZ7KNv4kCIIgDBk7TkNZUTSBMseULgYexcgYucPdHlgWaHNfDSx1twceAm4H7g20uVcC2zFETBAEQSg8rwFzXV5/NqehrChaFl+xKEaauSAIQqVjM838dOCXmE5D0Of58UjYNlREoARBEKoAOwJVadR8qSNBEAShPBGBEgRBEMoSEShBEAShLBGBEgRBEMqSikuSUEpFgfTyw/ZwQtkV8RKb7FOOdolN9hCb7DNUu0ZrravK6ag4gRoOSqml5TbTWmyyTznaJTbZQ2yyT7naVQqqSm0FQRCE6kEEShAEQShLak2gbs3dZMQRm+xTjnaJTfYQm+xTrnaNODU1BiUIgiBUDrXmQQmCIAgVggiUIAiCUJbUlEAppS5VSmml1CTzvVJK/UoptVIp9Y5S6tARtOUa85pvKaUeU0rNKAObfq6Uajev+3elVHPCvstMm1YopU4dQZs+p5RappSKKqUWpOwriU3mtU8zr7tSKeUdyWun2HGHUmqLUuq9hG2tSqnHlVIfmL9bRtim2UqpJUqp5eb/7jultksp1aiUelUp9bZp0/+Y2/dSSr1i/h//pJRqGCmbEmxzKKXeVEo9XC42lQ1a65r4wVio61HgI2CSue104F+AAo4EXhlBeyYkvP4P4LdlYNMpgNN8/TPgZ+brecDbwChgL+BDwDFCNrmB/YCngQUJ20tpk8O83t5Ag2nHvJH6P6XYchxwKPBewrbrAK/52hv7P46gTdOBQ83X44H3zf9Xyewyv0/jzNf1wCvm9+sB4Bxz+2+Bb5bgf3gJcB/wsPm+5DaVy08teVA3Av8JJGaFLALu0QYvA81KqekjYYzWekfC27EJdpXSpse01rEZ7C9jrLgZs+l+rXWf1no1sBJYOEI2BbTWKyx2lcwm8zortdartNb9wP2mPSOO1vpZjMU+E1kE3G2+vhs4c4Rt2qi1fsN8vRMIADNLaZf5fdplvq03fzRwIvCXUtgEoJSaBXiA28z3qtQ2lRM1IVBKqUXAeq312ym7ZgJrE96vM7eNlF0/VkqtBc4DriwHmxL4CoYnB+VjUyKltKkc70ciU7XWG83Xm4CppTJEKeUCDsHwWEpqlxlKewvYAjyO4QWHEh7KSvF//CXGg3PUfD+xDGwqG4q25PtIo5R6AphmsesK4HKM8NWIks0mrfWDWusrgCuUUpcBFwNXldoms80VGLXA/lBse+zaJAwNrbVWSpVkLolSahzwV+C7WusdhnNQOru01hFgvjm2+negbSSvn4pS6lPAFq3160qp40tpS7lSNQKltT7JartS6kCMMYq3zS/ILOANpdRCYD3G2FSMWea2otpkwR+AxRgCVVKblFJfBj4FfEKbQfBS25SBotpUxte2w2al1HSt9UYzPLxlpA1QStVjiNMftNZ/Kxe7ALTWIaXUEuAojBC60/RYRvr/eDRwhlLqdKARmADcVGKbyoqqD/Fprd/VWk/RWru01i4Ml/lQrfUm4CHgS2bm3JFAV0IIoqgopeYmvF0EtJuvS2nTaRjhhjO01j0Jux4CzlFKjVJK7QXMBV4dCZuyUEqbXgPmmtlWDcA5pj3lwkPA+ebr84ER9ULNcZTbgYDW+oZysEspNTmWlaqUGg2cjDE2tgT4bCls0lpfprWeZfZL5wBPaa3PK6VNZUepszRG+gcIMpjFp4CbMWLR75KQJTYCdvwVeA94B/gnMLMMbFqJMbbylvnz24R9V5g2rQA+OYI2fRrjoaIP2Aw8WmqbzGufjpGd9iFGKHLErp1ixx+BjcCAeZ8uwBjHeBL4AHgCaB1hm47BSEB4J+GzdHop7QIOAt40bXoPuNLcvjfGg81K4M/AqBL9H49nMIuvLGwqhx8pdSQIgiCUJVUf4hMEQRAqExEoQRAEoSwRgRIEQRDKEhEoQRAEoSwRgRIEQRDKEhEooaZQSjUrpb6V8H6GUuov2Y4ZxrXOVEpdmWX/gUqpu4pxbUGoBiTNXKgpzNpwD2utDxiBa72IMel5W5Y2TwBf0VqvKbY9glBpiAcl1Bo+YI4y1uH6uVLKFVtLSSn1ZaXUP8y1ioJKqYuVUpeYa/W8rJRqNdvNUUo9opR6XSn1nFIqraabUmpfoC8mTspY1+o9cz2iZxOa/hOjioAgCCmIQAm1hhf4UGs9X2v9A4v9BwBnAYcDPwZ6tNaHAC8BXzLb3Ap8W2t9GPB94DcW5zkaeCPh/ZXAqVrrg4EzErYvBY4dxt8jCFVL1RSLFYQCsUQbaxjtVEp1YXg4YJSdOsis0P0x4M8J1blHWZxnOrA14f0LwF1KqQeAvyVs3wLMKKD9glA1iEAJQjJ9Ca+jCe+jGN+XOoz1eubnOM9uoCn2Rmv9DaXUERiL072ulDpMa92BUcV6d4FsF4SqQkJ8Qq2xE2MZ8iGhjZWQVyulPgdG5W6l1MEWTQPAPrE3Sqk5WutXtNZXYnhWseU69sUoXioIQgoiUEJNYXotL5gJCz8f4mnOAy5QSr0NLMN6ufdngUPUYBzw50qpd82EjBeB2OrOJwD+IdohCFWNpJkLQpFQSt0E/FNr/USG/aOAZ4Bj9OAS34IgmIgHJQjF4yfAmCz79wC8Ik6CYI14UIIgCEJZIh6UIAiCUJaIQAmCIAhliQiUIAiCUJaIQAmCIAhliQiUIAiCUJb8f/nFmBsRvdRMAAAAAElFTkSuQmCC\n" | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"gauss_freqspectrum = freq_spectrum * gauss_window\n", | |
"\n", | |
"plt.plot(frequencies_physical, abs(freq_spectrum))\n", | |
"plt.xlabel(\"Frequency (kHz)\")\n", | |
"plt.ylabel(\"Magnitude\")\n", | |
"plt.title(\"Freq Spectrum Base\")\n", | |
"plt.show()\n", | |
"\n", | |
"plt.plot(frequencies_physical, abs(gauss_freqspectrum))\n", | |
"plt.xlabel(\"Frequency (kHz)\")\n", | |
"plt.ylabel(\"Magnitude\")\n", | |
"plt.title(\"Freq Spectrum Filtered\")\n", | |
"plt.show()" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 573 | |
}, | |
"id": "_bvdhZnBsa00", | |
"outputId": "a98ce415-df5f-4229-e83a-ce022e3191d0" | |
}, | |
"execution_count": 21, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
], | |
"image/png": "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\n" | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
], | |
"image/png": "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\n" | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"# filtered time series data\n", | |
"\n", | |
"data_filtered = np.real (np.fft.ifft(gauss_freqspectrum))\n", | |
"\n", | |
"# plot original data\n", | |
"fig = plt.figure()\n", | |
"plt.plot(tt, data)\n", | |
"plt.title(\"Original data\")\n", | |
"plt.xlabel(\"time (seconds)\")\n", | |
"plt.ylabel(\"Voltage (V)\"); \n", | |
"plt.show()\n", | |
"\n", | |
"# plot filtered data\n", | |
"fig = plt.figure()\n", | |
"plt.plot(tt, data_filtered)\n", | |
"plt.title(\"Filtered data - Gaussian Window\")\n", | |
"plt.xlabel(\"time (seconds)\")\n", | |
"plt.ylabel(\"Voltage (V)\"); \n", | |
"plt.show()" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 573 | |
}, | |
"id": "ly-TtrY6soq2", | |
"outputId": "34afb150-58c7-470e-ca32-be5b1e74c5b4" | |
}, | |
"execution_count": 22, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
], | |
"image/png": "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\n" | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
], | |
"image/png": "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\n" | |
}, | |
"metadata": { | |
"needs_background": "light" | |
} | |
} | |
] | |
} | |
] | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment