aliasing_in_graphics.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "Aliasing in graphics.ipynb",
      "provenance": [],
      "collapsed_sections": [],
      "authorship_tag": "ABX9TyOb67s7GWpfTpoJN5xiLK4H"
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "metadata": {
        "id": "SkAHlu7TTXc9",
        "colab_type": "code",
        "outputId": "00a6297a-cefb-4485-d819-3c97b24020a8",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 390
        }
      },
      "source": [
        "# Sampling vs quantization\n",
        "\n",
        "import numpy as np\n",
        "from scipy import signal\n",
        "import matplotlib.pyplot as plt\n",
        "from IPython.display import display, Markdown\n",
        "plt.rcParams['figure.figsize'] = [18, 6]\n",
        "\n",
        "plt.figure()\n",
        "# ---\n",
        "ct_x = np.linspace(0.0, 1.0, 1024)\n",
        "ct_y = np.sin(ct_x * 4 * np.pi)\n",
        "ax = plt.subplot(1, 3, 1)\n",
        "ax.set_xlim(0, 1)\n",
        "ax.set_yticks(np.linspace(-2 ,2, 5))\n",
        "ax.set_ylim(-2, 2)\n",
        "ax.grid(color='k', linestyle='--')\n",
        "ax.set_title(\"Original signal\")\n",
        "ax.plot(ct_x, ct_y, 'k')\n",
        "# ---\n",
        "ax = plt.subplot(1, 3, 2)\n",
        "ax.set_xlim(0, 1)\n",
        "ax.set_yticks(np.linspace(-2 ,2, 5))\n",
        "ax.set_ylim(-2, 2)\n",
        "ax.grid(color='k', linestyle='--')\n",
        "ax.set_title(\"Sampling\")\n",
        "ax.plot(np.linspace(0.0, 1.0, 64), ct_y[0:1024:16], 'ks')\n",
        "# ---\n",
        "ax = plt.subplot(1, 3, 3)\n",
        "ax.set_xlim(0, 1)\n",
        "ax.set_ylim(-4, 11)\n",
        "ax.set_yticks(np.linspace(0 ,7, 8))\n",
        "ax.grid(color='k', linestyle='--')\n",
        "ax.set_title(\"3-bit Quantization\")\n",
        "ax.plot(ct_x, np.round((ct_y + 1.0) * 3.5), 'k')\n",
        "# ---\n",
        "plt.show()\n"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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i9IiS5cDoWJZv3ry5tsVPf/pT001wjWQNJpuyApt0Amqiqa/a1GKb6rDWdvVjyRpMNmX1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\n",
            "text/plain": [
              "<Figure size 1296x432 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "xKmzE0soBXui",
        "colab_type": "code",
        "outputId": "0dfd225e-980e-437e-84b1-91f9258268c1",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 408
        }
      },
      "source": [
        "import numpy as np\n",
        "from scipy import signal\n",
        "import matplotlib.pyplot as plt\n",
        "from IPython.display import display, Markdown\n",
        "\n",
        "plt.rcParams['figure.figsize'] = [18, 6]\n",
        "\n",
        "NUM_ROWS = 1\n",
        "NUM_COLS = 3\n",
        "LEN = 1024\n",
        "\n",
        "plt.figure()\n",
        "\n",
        "# ------\n",
        "ct_x = np.linspace(0.0, 1.0, num=LEN, endpoint=False)\n",
        "ct_y = signal.gausspulse(ct_x - 0.5, fc=10)\n",
        "band_start = -0.02\n",
        "band_stop = 0.02\n",
        "\n",
        "ax = plt.subplot(NUM_ROWS, NUM_COLS, 1)\n",
        "ax.set_xlim(0, 1)\n",
        "ax.set_ylim(-2, 2)\n",
        "ax.set_yticks([-2, -1, 0, 1, 2])\n",
        "ax.grid(color='k', linestyle='--')\n",
        "ax.set_title('Time domain')\n",
        "ax.set_xlabel(\"(a)\", fontsize=14)\n",
        "# \n",
        "ax.plot(ct_x, ct_y, 'k')\n",
        "\n",
        "# ------\n",
        "ct_fft = np.fft.fftshift(np.fft.fft(ct_y))\n",
        "fft_x = np.linspace(-0.5, 0.5, LEN)\n",
        "\n",
        "ax = plt.subplot(NUM_ROWS, NUM_COLS, 2)\n",
        "ax.set_xticks([-0.5, -0.25, 0, 0.25, 0.5])\n",
        "ax.grid(color='k', linestyle='--')\n",
        "ax.set_title('Frequency domain')\n",
        "ax.set_xlabel(\"(b)\", fontsize=14)\n",
        "# \n",
        "ax.plot(fft_x, np.abs(ct_fft) / LEN, 'k')\n",
        "\n",
        "# ------\n",
        "ax = plt.subplot(NUM_ROWS, NUM_COLS, 3)\n",
        "ax.set_xlim(-0.04, 0.04)\n",
        "ax.grid(color='k', linestyle='--')\n",
        "ax.set_title('Zoomed-in frequency domain')\n",
        "ax.set_xlabel(\"(c)\", fontsize=14)\n",
        "# \n",
        "ax.plot(fft_x, np.abs(ct_fft) / LEN, 'k')\n",
        "ax.plot(0, -0.003, 'k^', markersize=10)\n",
        "ax.plot(band_stop, -0.003, 'k^', markersize=10)\n",
        "\n",
        "plt.show()\n"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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IgiAIgiAIgiAIQtchJ6gPsp+F/VtYz849YyEQIpoDYA4A9OjRozQ7OxsA0K9fP+Tm5qKy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\ngg==\n",
            "text/plain": [
              "<Figure size 1296x432 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "qFnlA8bxJnpz",
        "colab_type": "code",
        "outputId": "777c3908-8b9a-4921-b599-04e0b438b79d",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 396
        }
      },
      "source": [
        "SAMPLING_FREQ = 0.043\n",
        "SAMPLING_PERIOD = int(1.0/SAMPLING_FREQ)\n",
        "\n",
        "plt.figure()\n",
        "\n",
        "# ------\n",
        "sample_train = np.full(LEN, 0)\n",
        "sample_train[::SAMPLING_PERIOD] = 1\n",
        "dt_y = ct_y * sample_train\n",
        "\n",
        "ax = plt.subplot(NUM_ROWS, NUM_COLS, 1)\n",
        "ax.set_xlim(0, 1)\n",
        "ax.set_ylim(-2, 2)\n",
        "ax.set_yticks([-2, -1, 0, 1, 2])\n",
        "ax.grid(color='k', linestyle='--')\n",
        "ax.set_xlabel(\"(d)\", fontsize=14)\n",
        "# \n",
        "ax.plot(ct_x, dt_y, 'k')\n",
        "\n",
        "# ------\n",
        "dt_fft = np.fft.fftshift(np.fft.fft(dt_y))\n",
        "\n",
        "ax = plt.subplot(NUM_ROWS, NUM_COLS, 2)\n",
        "ax.set_xticks([-0.5, -0.25, 0, 0.25, 0.5])\n",
        "ax.grid(color='k', linestyle='--')\n",
        "ax.set_xlabel(\"(e)\", fontsize=14)\n",
        "# \n",
        "ax.plot(fft_x, np.abs(dt_fft) / LEN, 'k')\n",
        "\n",
        "# ------\n",
        "ax = plt.subplot(NUM_ROWS, NUM_COLS, 3)\n",
        "ax.set_xlim(-0.04, 0.04)\n",
        "ax.grid(color='k', linestyle='--')\n",
        "ax.set_xlabel(\"(f)\", fontsize=14)\n",
        "# \n",
        "ax.plot(fft_x, np.abs(dt_fft) / LEN, 'k')\n",
        "\n",
        "plt.show()\n"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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ciGxwy9lgFlFE1w9rvLgnVl6JF33uycnJUb+zQsZ+k0kT5xwHDx6M6TvGmBST\naVnspDgbgDZNMtgHkMdG0TjVpBzHynENOHMo+klwNk8gCIIgXEemdexeRDYoZXqxZ0MqLaMwSlOI\nd58EPRJ9G0W8kQ12nA3xTvCdOmHccKy55cyy41gj/KWuri5mCQUg70QkGTl+/DiamprQqVOnmPQ+\nffrQBogRDh48qG4OqZCfn4/q6mrhrwdNBfQiG7p06YIuXbpId4wLcTZcfvnlIqoVwurVq0VL8A1q\na2oSpLYS1mjHQ6pHNugRxLdRWJW5evVq1+xihNUyCrtl65UTr3anjjXt9/Euo7DjnIg3isepFrPI\nBrp+WOPFPXFtbW3MJARw5myQsd9k0qQ8nX/00Udj0mV4ci+DnZqbm/H111+rkQ2Kpvz8fJw7dw5H\njx4VKU8KG2lxqunUqVPo0KEDunbtGpOem5tLyyiAtneDBoGysjLREnyD2pqaBKmthDXa8SCTs8Fs\nozq75Wi/1yvHrfBzkXs2OEVbj1Z7WVmZaXvitaMebi2jSGTPBiPHh9M3jLiRJ15ng5eRDUoaXT+s\n8eKeWC+ywckyChn7TSZNikNh3759Men5+fk4fPgwzp49K0IWADnsdOjQIXDOVWeDokmJdBDtkJHB\nRlqcatJbKgWEN4mkyAYAJ06cEFGtEFatWiVagm9QW1OTILWVsEY7HmR1NsRbjpGzwakWGSIb/FxG\nsWrVKk82iNQr08tlFGZtcCOyQaZlFH5ENtD1wxov7on1Ihs6d+6MjIwMWxMRGftNJk3KZHnDhg0x\n6crkurq62ndNCjLYKfq1l0CbJlne2CGDjbQ41aQ4G7RQZANBEASRUsjkbHAjj5PJYKJanE5M3ZgM\nKvndfhuFUZpZOfFGq7gV2aCnxcwuXkzw3YicEb2MQi+ygdZki0UvsgEIT0SCFF3sFVVVVcjIyEB6\nenpMuiyTadFonQ0KZB/3MHI2UGRDhJ49e4qoVgjFxcWiJfgGtTU1CVJbCWu040EmZ0OyLaPwOsxd\nL7Ih3kmglbOhuLjYk7dR6C3NMIpssDvO9PLrbQRq9DuzNDcjG+yWI3oZhVlkA10/rPHinlgvsgEI\nOxvsTERk7DeZNB08eBD5+fl46KGHYtKVZQIiN4mUwU5K+xV7KJpyc3ORlZUlfBNNGWykxakmimyw\noGPHjiKqFUJeXp5oCb5BbU1NgtRWwhrtePByAuY0jxdvo9CbyCWLs8HsDRBOserTvLy8uN9G4aRe\nvbR4nTBOnQ1e7Nlg5BQzSjP7TsbIBrp+WOP2PXFTUxPOnj1rGNlgx9kgY7/JpKmqqgp9+vRpp6l3\n797q96KQwU5VVVW46KKL1EDXBAAAACAASURBVM0LFU2MMfTp00d4ZIMMNtLiVBNFNlgg2qPlJ7Nm\nzRItwTeoralJkNpKWKMdD15MetzM43Ry7cUELN48XjobnEY4WDkbZs2a5ckyCj2HgChngxeOtXhf\nCZoskQ10/bDG7XtivVfiKeTk5NiaiMjYbzJpqqqqQn5+fjtNGRkZ6NGjh9DJtAx2UuyjEK1Jhjd2\nyGAjLU411dXVqZu+RqM4FN2IKHUL2rOBIAiCiBuZnA1eLKNI1ciGRJ0wylKG6HSrt2to87u9XMBu\n2V46G+Id6yKWUfgR2UD4jxJCnUhkA2FMa2srDh8+jF69eul+37t3b6EbRMrAoUOHyD4eYxbZcP78\nedTX1wtQpY8QZ8MFF1wgolohjBw5UrQE36C2piZBaithjXY8uDEBM5qY2JlQGZWTDMsorDByNkS3\nzS1nQ7x2UeoYOXJk3JNkp/ntTNjtlqmg2Cgtzfi2yMtXXzod6zItozCLbKDrhzVu3xObRTbYdTbI\n2G+yaAqFQuCcIzc3V1dTTk6O0ImeDHY6ffp0zPiL1iTaPoAcNtLiRNO5c+dw5swZw2McsPeKW78Q\n4myQca2MV8yZM0e0BN+gtqYmQWorYY12PLjxtgBtfjdfN0mRDd5ENmg/z5kzx3Xngd38qbqMwm45\n8fap0fhKZKxr20PXD2vcvidWIhvMnA1W/Spjv8miKRQKAQCysrJ0NWVlZal5RCCDnUKhELKystTP\n0ZqysrLQ0NAgNPpJBhtpcaJJeaOMmbNBpk0ihTgbdu/eLaJaIYwYMUK0BN+gtqYmQWorYY12PMi6\njCLectxyNtip0+snz35ENiiMGDEibi1O6rWjxapsNx1IiTob9NKTObJBu3yJrh/WuH1PrDzRNFpG\n0dzcjDNnzpiWIWO/yaJJeSqfnZ2tqyk7O1vok3sZ7FRfX4/s7Gz1c7QmJb2hocFvWSoy2EiLE01m\n0UvKcR/4yAaCIAgiNfByGYWTMtzK49amebJq0VuKYacctyamXkzwkymywQgvIhtEjC/as0E8VpEN\ngFwTkWQjOrJBD9GRDaJpaWlBU1OTqX0ABNpGiWK1VAqgyAZ06NBBRLVC6N69u2gJvkFtTU2C1FbC\nGu148PJpr9M8sm8Q6VSLdsNFLyf48UafKOl2zxNOtTixo90+itfZ4MaSIaNlFImML6+iVeLRok2j\n64c1bt8T25mIWDkbZOw3WTRFOxv0NIl2Noi2kxKxEO1siNYkg7NBtI30cKKJIhts0L9/fxHVCuGt\nt94SLcE3qK2pSZDaSlijHQ8yRTZ4sUGkXtl2kCnM3Y+J6VtvveWJ48OLyAa9PF5GNsTb5mReRqGk\n0fXDGrfvievq6pCRkYHOnTu3+06ZnChrvo2Qsd9k0RS9jEJPU3Z2ttA9CUTbKdo+CtGalHSRS01E\n20gPJ5rccCj6iRBnw759+0RUK4QJEyaIluAb1NbUJEhtJazRjgcvJj166X5FE8gU2ZBMzoYJEyZ4\nosUvZ4Od3+ktF7DjbDBbIhHvXhZW9dgpx8slQ0oaXT+scfueuLa2Vne/BsD+RETGfpNFU3Rkg54m\n5cm9qD0JRNtJb5lJtCYZIhtE20gPJ5rMnA05OTlgjNEyirNnz4qoVgiVlZWiJfgGtTU1CVJb3YQx\nNooxtpsxVskYe0Tn+86MsZcj35czxvpGffdoJH03Y+yWSFoXxtiHjLHPGGO7GGNPROVfyRjbzxj7\nNPLvBq/apR0PXkY2OJ3ge7mMwq+NDZ3ml8XZUFlZaVqGk0m1186GeJcuxPvqSzfabCe/DJEN2jQZ\nrh+yn4vdvieuq6vTnYQA4YmIkscMGfpNiyyaoifTeppET6ZF20nP2RCtSbR9APE20sOJJuX4VY7n\naNLS0nDBBRdIFdkQnM0TCIIgfIIxlg5gKYCRAKoBbGOMvcY5/yIq270Aajnn/RhjEwA8DeA/GGPX\nAJgA4FoAlwJ4lzF2JYCzAG7mnIcYYx0BfMAYK+Ocb42UV8w5f9WfFrYhU2SDF8soREY2xFOm1e9E\nT0zjXVJgR4sbE3a7+a20OK3HTh+5oSUaLzcgdTq2vSJI52IFNyIbCGP0lglEo6QHdQNEpd1kH++o\nq6tDWlqa4SacF154IUU2XHHFFSKqFcLatWtFS/ANamtqEqS2usiNACo55/s45+cAlAIYo8kzBsAL\nkb9fBfA9Fp4hjwFQyjk/yznfD6ASwI08jHJ17hj55/sdvXY8+BXZYKeseCeMZt+LdDYkQ2SD4tRZ\nu3ZtSkzw/daifBbxNgovIhu07ZHg+iH9udjte2KzyAa7zgYJ+q0dsmhSJsmZmZm6mpQJoKg9CUTb\nSWl39EQ4WpNo+wDibaSHE02nTp1Cbm6u4UOV3NxcqRyKQiIbTp48KaJaIaxevRoPPfSQaBm+QG1N\nTYLUVhfpBeBg1OdqAEOM8nDOWxhjpwBcFEnfqvltL0B9SvcxgH4AlnLOy6PyzWeMzQXwdwCPcM7b\nxeYyxqYCmAoA3bp1Q0FBAQBg5syZGDBgAKZPnw4AGDZsGBYuXIihQ4cCCN9Ubdq0CZMnT8a7776L\nnj17qmWOGTMGnTt3RnFxsbrp2Lx587Bnzx7MmTMHI0aMQHNzs5p/woQJ7cIFv/e976FDhw6YO3cu\nunTpgj/96U8AgI0bN+LYsWMoKirC6dOn1fxjx45FdXU1AKCsrExNv/vuu/Hcc8+hqakJK1euBABs\n2rQJd911F8aNGwcAuOSSS9T8Svs3btyopo0ePRpLly5FTU0NFi5ciEOHDgEI35wr+bt169aujK1b\nt6K4uFhN37VrF/bu3YslS5aoWg8fPqzmHzx4MH7xi1+o+YcMGYLy8nJMmzZNTduzZw8++eQTLF++\nHABw7bXXAgA2b96MgoICDBs2DPfcc4+af/jw4Wo/7dy5U70pXr9+PZ5++mkAQJ8+fQAAr7zyCsrL\nyzFy5EjMmTMHN910U0yfaPvpr3/9Kx544AEAwNy5c7Fr1y4AwO7du/HEE0+gtbUVf/vb32LKiO4n\n5c0ajz/+OH7/+99jwYIF+PzzzwEAH3zwAZ555hlMnDgR48aNi5m8jh8/Xu175cbq4YcfxlNPPYVF\nixahpqYGc+bMARB+5dqePXswceLEmDd5DB8+HI2NjWo/Kdp/97vf4aabbkJFRQXmz58PADh+/Dh2\n7NiBKVOmqP2kcPvtt6Nr164oLy9HVVUVAOCJJ55AQUEBtmzZguXLl8dsvKf0dWFhoZr2ve99Dzk5\nOWo/KeP3xIkTWLx4MVatWqXeJJ4/f14tQ+knhZkzZ2Lr1q2YMGECNm3aBCD8RPuZZ57BmjVrAAB3\n3XVXjJbRo0erxzgA3H///diwYYPaT0eOHAEA7NixQ6333nvvjSlj/Pjxaj8pcM4xatQoHD9+HAcP\nhk97//jHP1BQUIDDhw/jpZdeUo8nAJg0aRKKioowceJEAMDAgQOxcuVKDB8+3It17tKfizMyMuI6\nF+/cuRNA+BpdVlaGVatWhUVWV+Oiiy5qN3ZGjBgBIBxmXVdXF3OMr127FqtXr1bHzsCBA/HjH/8Y\ns2fPBgB17BQVFQEAevfujXXr1rU7F5eUlOD1118HACxYsABNTU2YN28eALQbO/369UNpaak6doDw\nuXj+/PnYsGEDAKjH+MKFC3H48GE89NBDlmNHORdv3rwZAFBSUoKKigosWbIEADB16lQUFhbGHOPL\nli3DkCFD0NraivT0dPVcvG3bNgDAihUr1GO8uroaHTt2xPbt2/GDH/wAPXv2jOkn5XwVCoVM+6m4\nuBh5eXmYNWuWbj91794db731lmk/KdfM6H5qbW3F+vXrhfWTMsc7fvy4OgYB4KOPPsLw4cPVc+Sp\nU6fwi1/8wrN+AoyPp8LCQvTs2dPW8eRVP2mPp29961v4v//7P1v9tH//fgDAwYMHdfupsrISlZWV\nCIVChv0E+Hgu5pz7/q9r1648KAwaNEi0BN+gtqYmQWorgI+4C+c4AD8C8Keoz3cD+L0mz04AvaM+\n7wXQHcDvAdwVlf48gB9pfpsL4D0AAyOf8wAwAJ0RfkI310pjvP2q/A7hJ3l8z5496nfDhw/nAPh/\n//d/x/ymurpaza+xNwfAjxw5EpM+e/ZsDoD/6le/UtPeeecdDoAzxtppUsrZunWrmvbII49wAHzB\nggUxeb/88ktTLXv37o1Jf/TRRzkAfv/996tpb7/9tm4Z0eVs2rRJTfvlL3/JAfAnnnjCkZbo9nDO\n+dKlSzkAftttt6lpu3btMtSSm5vLAfDS0tJ27fnpT38akzcUCplq2bx5c0z6H/7wBw6A33DDDZzz\n8Lgwag/nnBcUFHAA/Pnnn1fTFi9ezAHwoqKimLxNTU26Y+OCCy7gAPjLL78ck/9///d/OQAefW9x\n6tQptYyWlpaY/KNHj+YA+NNPP62mLVu2jAPg3/jGN9pp1xvrSnu0Y72srKydDc6cOaOmHT16NCb/\ngw8+yAHwOXPmqGlr165t1x6tluixcfvtt3MA/KmnnorJu337dtM+/de//hWTvmjRIg6A//jHP7Ys\nI7qct99+W02bOXMmB8AfeeQRznn8148gnYvdvie+8MIL+YwZMwy/v+SSS/jUqVNNy5Dxui+Lpp/+\n9Kf84osv5pzrayovL+cA+Jtvvum3NM65eDstX76cA+DV1dVqWrSms2fPcgD817/+tQh57fTIghNN\nt912G//mN79p+P24ceP4wIEDE9bk1nlYyDIKgiCIFOcQgD5Rn3tH0nTzMMY6AMgBcMLObznndQjf\n4I6KfK6JXBvOAliBcOiwL4SvR+ZpenmiMVo7Hv07qzLcymOk3Q0tTu1ipx476Gl3qsWsTDtlGG2o\naKXFiR2Nfmeky68+NatH+ZzqG5AKJDDnYiA8jpQQayNkC7FONkKhkOFaeUCOZQIi0VtGEU2nTp3Q\nqVOnwNrHDcyWSgHyHeNCnA15eXkiqhXC3LlzRUvwDWprahKktrrINgD9GWOXMcY6IbzJ2GuaPK8B\n+Enk7x8B+EfEk/wagAmRHdIvA9AfwIeMsYsZY7kAwBjLQHjDsy8jn/Mi/zMAYxF+UucJ2vHg5aQn\n1Z0NTsvwcjIYr+NDSbc6Tzh5A4Qb6dFpbr3txAtng5Oy3dASjVsbRJrt2SDB9UP6c7Gb98T19fU4\nf/684QaRgL2JiAT91g5ZNEU7G/Q0iX7bgmg7Re9poaDVlJWVJXSDSNE20sOJJitng2wbRArZsyEt\nLTgBFV26dBEtwTeoralJkNrqFjy87ncGgLcBpAP4M+d8F2NsHsJhaa8hHJL7F8ZYJYCTCN8EI5Jv\nDYAvALQA+BnnvDVyE/tCZK1wGoA1nPM3IlW+yBi7GOHw3U8B/NSrtmnHg+zOBhm0uDXBl8nZoP3c\npUuXuLU4zSNqgm/n1ZfxRjY4jQ5IlsgG0dePZDgXu3lPrDgRrJ56Wk1ERPebHrJoqq+vV9+ooKdJ\n9NsWRNspFAohIyMDHTq0TTG1mrKzs4U6G0TbSA8nmuxENjQ0NKC5uRkdO3Z0Q15CCJn1KxtuBQFl\nM5AgQG1NTYLUVjfhnK/nnF/JOb+Ccz4/kjY3cnMLznkT5/wOznk/zvmNnPN9Ub+dH/ndVZzzskja\n55zzb3DOr+ecD+Scz4vKfzPn/LpI+l28bad019GOB1kn+KK12KkzXi3RO1DL4myYPXt20jkbrMqw\nkydRLcrnRJZR6EWN2CnHLWeDWWSDDNcP2c/Fbt4TK04Es8iGnJycmI1M9ZCh37TIoik6skFPk/JE\nX9QyAdF2qq+vb7eEQqspKytL6DIK0TbSw4mmuro65OTkGH6vHP+yLKUITogBQRAE4ToyTfD9mFST\nFn+1OBlfRr9z4tQwepWYUy1W9djV7raWaNxaRmGnTwl/sBvZIMskJBmx2rNB2ZNA5JN7kVjZBxC/\njCKZaW5uRkNDg+UxDgTc2WDmjUk1Ro8eLVqCb1BbU5MgtZWwRjse7ExQjNbMG+UXOQFLBi1OytDm\ncXuCrzB69GhTLXrLDpw4Aczqtkr3c88Gp2WYjS+zsr3U4rRMs9/R9cMaN++J7UQ22HE2yNhvsmiK\nXkZhpEnkMgHRdgqFQqp9FLSaRC+jEG0jPexqUqKSrPZsACDNvg1CnA09evQQUa0Qot9pnepQW1OT\nILWVsEY7HuJdx272vZcTsCBFWcQ7UY/HjtOnT4/bLnbz29Vitx6nWrzcs0HE2yi8eAuMtgy6fljj\n5j2x3ciGs2fPoqmpyTCPjP0mi6boJ/dGmkQuExBtJ71lFFpNopdRiLaRHnY12XE2UGQDgD179oio\nVghFRUWiJfgGtTU1CVJbCWu048HLCb5MrwNMRmdDvFrisWNRUZFrzgajPE72JvDC2eCG48PoO7+0\nOM2f6Pii64c1bt4T241sAMwnIjL2myyaop0NRppELhMQbSe9ZRRaTaKXUYi2kR52NdlxKFJkA0EQ\nBJEyyDrBl0lLEJwNiWhxmsdpH8nkbHCi3Y6TwqkWp/ndGl+EP9TV1YEx1i6MPRrZnnomE+fOncO5\nc+dM7QuIXyYgEr1lFFqCbJ9EsRu9FJ1XNEKcDTK8hsMvevfuLVqCb1BbU5MgtZWwRjseUn2C76T+\nRLT4PcF3W0vv3r2FOxuM0pzs2WDWBpmWUZi9AcJuOX6ML7p+WOPmPbGyS73Z6zTtTERk7DcZNCkT\nZOXJvZEmkcsERNtJbxmFVpPoZRSibaSHXU3kbLBJv379RFQrhHXr1omW4BvU1tQkSG0lrNGOh1R3\nNvilxS9ng52y49Gybt26uB0JXtvFCweSW1pSPbKBrh/WuHlPXFtba7qEArA3EZGx32TQpHU2GGkS\nuUxAtJ30llFoNWVlZaGpqQktLS1+SjPUIwN2NdlxNmRkZKBTp07BXkZRWVkpolohjB07VrQE36C2\npiZBaithjXY8pJqzwY9N88zymGl1OhnU2+PALS3adKtx4eXbKNxwNnjhtLFTj9n4svsaTrcda07K\nsNJC1w9r3LwnrqurM52EAG1vvzBzNsjYbzJoUp7GK8sEjDSJXCYg2k56yyi0mpTvGxoafNMVjWgb\n6WFXk3Lcmr3FhjEm1StuhTgbmpubRVQrhOrqatESfIPampoEqa2ENdrxYGeC4terL6102Skn1SMb\nvHpqXl1dHbcWp3mc9pEXfWq0WaWTMtzSEq+zwUqbG1ro+mGNm/fEbkU2yNhvMmjSRjYYaRK5TECk\nnZQ9LbSRDVpNyvdBtJERdjXZ2ZcFCG8SGejIBoIgCCI1kDWyQXFwyKAlGZwN8WqJfvruVjSB23Zx\nK1rFyz0bRDgbRDmzCO+wE9mgfK+8Qo+wj9bZYIToty2Iwol9ovMT9rGzLwsAimzo37+/iGqFUFZW\nJlqCb1BbU5MgtZWwRjseZHU2uD0B80KLU2R0NiiUlZW55mwwq8eOFqt63OhTt7VYpdkpU0ZnA10/\nrHHznthOZENGRgY6duxoOhGRsd9k0KRdRmGkKTs7W9ieBCLtpDgPtE/dtZqU70U5G2QYS1rsajp1\n6pSlQxGgyAYcPXpURLVCKCkpES3BN6itqUmQ2kpYox0P5GxwR0uyRjYolJSUxO1ssKvFaOlCKjgb\n9PKI2rPBzbFO1w9r3LwnthPZYGc9t4z9JoMm7ZN7I00in9yLtJPijNFGNmg1iV5GIcNY0mJXk51j\nHKDIhkCFbr3++uuiJfgGtTU1CVJbCWu044GcDe5oSXZnw+uvv25ahh8bRBr9zq1lFGYa7OoVPdb9\n1kLXD2vcuic+d+4cGhsbLSMbAOuJiIz9JoMmrbPBSJNIZ4NIOxkto9BqEr2MQoaxpMWuJrvOhgsv\nvDDYzgaCIAgiNSBngzVuT6rtlG1Vj9eOj3jb7FZ6vPWY2dPvyAYzZNViNL4I77HzSjwFmZ56JhPa\nZRRGiF4mIAqjZRRagmofN3AS2VBbWyvFuViIs6FXr14iqhXCggULREvwDWprahKkthLWaMcDORvc\n0ZLszoYFCxZ44mzwwi5O8otwwljlNSpTRmcDXT+sceue2E1ng4z9JoMmZXLctWtXAMaaRC4TEGkn\no2UUWk2il1HIMJa02NXkxNnQ0tKCxsbGRKUljBBng9Vr0FKJpqYm0RJ8g9qamgSprYQ12vFgZ5Lk\n16svg+JsMHoDhAgtCk1NTcKdDXbfjGHWp9p9EpxqsUL0WLfjwEhEizaNrh/WuHVPrGwG58YyChn7\nTQZNoVAImZmZ6psAjDSJfHIv0k5Gyyi0mkRHNsgwlrTY1eRkGQUAKTaJdMXZwBj7M2PsKGNsp538\nNTU1blSbFMybN0+0BN+gtqYmQWorYY12PLgR2WD0+0QmPfTqS2+1aNPtjAuvtHj5BF8mLVZlyqiF\nrh/WuHVPfPr0aQDABRdcYJk3JyfH1NkgY7/JoKm+vj5miYCRJpF7Eoi0k9EyCq2mzMzMmPx+I8NY\n0mJHU0tLC+rr65GTk2OZVzkPKOcFkbgV2bASwCiXyiIIgiCSBDecDaInYDJokcnZYAenE1m7v7NT\nTio6G6zS7JQpc5QF4T0NDQ0A2iZyZtCeDfERCoXaPbXXQ/QyAVEYLaPQkp6ejoyMjMDZJ1EUx4Gd\nyAblPKCcF0TiirOBc/4+gJN289sJ8UoVxo8fL1qCb1BbU5MgtZWwRjseyNngjhaZnA3xaBk/frxp\nGXqvrXRLi9N0kc4Go+/06vHi1Zd+RzbQ9cMat+6JlUmFnclwbm4umpqacPbsWd3vZew3GTSFQqGY\np/ZGmkQuExBpp1AoBMaYuqeFgp6m7OxsYZENMowlLXY0OdmXRTkPyOBs6OBXRYyxqQCmAmEjFRQU\nAABmzpyJAQMGYPr06QCAYcOGYeHChRg6dCiAsGdm06ZNmDx5MnbuDK/SWL16NcrKyrBq1SoAQHFx\nMfLy8jBr1iwAwMiRIzFnzhyMGDECANC9e3e89dZbmDBhAiorKwEAa9euxerVq7FmzRoAwNy5c9Gl\nSxfMnj0bADB69GhMnz4dRUVFAIDevXtj3bp1GDt2LKqrqwEAZWVlKCkpUV9XsmDBAjQ1NamhMOPH\nj8fw4cPVtvbr1w+lpaUYNWoUjh8/DgDYuHEj5s+fjw0bNgAAFi1ahJqaGixcuBAAMGnSJBQVFWHi\nxIkAgIEDB2LlypUYPny4OoC2bt2K4uJibN68GUD4Xa0VFRVYsmQJAGDq1KkoLCzElClTAACDBw/G\nsmXLMGTIELS2tiI9PR3l5eWYNm0atm3bBgBYsWIFtmzZguXLl9vup7/+9a9J208TJ07EuHHjbPfT\nI488gpdffjkp+8np8TRkyBCEQqGk7Kd4jifCHMV2CkFxNjgpIx4tTuzo1C52SHRSPXHiRHz11VeW\nupw+BZcpsiHedL8n+IlqsfN6UrtatOcLoj3dunVzpRxl4mYnskEJwz516hR69OjR7nsZ+00GTfX1\n9THOHCNNIpdRiLSTdk8LBT1NWVlZwpwNMowlLXY0Ka/JtbOMQvRSlRg45678A9AXwE47ebt27cqD\nwqBBg0RL8A1qa2oSpLYC+Ii7dE6U/V+8/ar8DgAHwDdu3Kh+993vfpcD4I8//njMb7Zu3armj0ZJ\n+/TTT2PSp0yZwgHwe+65R0174YUXdMuILmfdunVq2n333ccB8J///Ocxed977z1TLZs3b9bVMnbs\nWEda1qxZo6ZNmjSJA+DTp0+Pybtp0yY1f11dnWl7OOf8scce4wD4bbfdpqb9/e9/N9SSm5vLAfDn\nnntOTbvnnns4AD5u3LiYvJWVlWo5x48fb6fl1Vdfjck/b948DoBff/31nPPwuHj//ffV/KdOnYrJ\n/61vfavd2JgzZw4HwEeMGBGTt6qqSi3n888/V9NzcnI4AL548eKY/MuXL+cAeIcOHdS0f/3rX2oZ\n+/fvj8mvjNNZs2apaU888QQHwG+44YaYvE1NTbpjfciQIbpjXW9sfPXVV2rajh07YvJPmDCBA+CT\nJ09W0/7whz9wALxz585ci1LO//zP/6hpN998MwfAZ86cGZO3rKysnZYzZ87otodzzouLizkAfvvt\nt6tpb775puVY//Of/6ymjR8/ngPgkyZN4pzHf/0I0rnYrXvi3/zmN+3OJUasWLGCA+D79u3T/V7G\n674MmgoKCnhRUZH62UhTS0uL7vnBD0Ta6b777uM9e/Zsl66n6frrr+djxozxQ1Y7ZBhLWuxo2rx5\nMwfA33nnHcu8u3bt4gB4aWlp3JrcOg8LeRsFQRAEkRqEr0fmafQ2CmstduwooxYnZYjSYoTTsr2w\ni99jXZQWwnuc7Nkg1VPPJEK7QaQR6enp6Nq1a+Dsq11mYobIZRTJipPopZTbs8EpnTt3FlGtEPr1\n6ydagm9QW1OTILWVsEY7Hryc4LsZzm1WjtNJsh28mFTLpEX7uV+/fnFPZN3S4sarL83qcmNSLZOz\nweg7N7XQ9cMat+6JGxoa0KlTJ3ToYL1C2moiImO/yaBJu0GkmSZRywRE2sloA009TSKXUcgwlrTY\n0RSPQzFlnA2MsdUAtgC4ijFWzRi71yz/5Zdf7ka1SUFpaaloCb5BbU1NgtRWwhrteJA1msDJqy9l\neNqb7JENpaWltuxoleaGFqsy3LCjTFqc9KkXWszKoOuHNW7dEzc0NNjaHBKwnojI2G8yaNJOps00\nZWVlCXnbgkg7afe0UNDTJMo+gBxjSYsdTU6cDTJtEOnW2ygmcs7zOOcdOee9OefPm+Xfs2ePG9Um\nBaNGBeeNoH629Z577sGvf/1r3+rTQv1KBJVRo0Y5ftorwtkQ79PeVJwMeulsUP43GxdW2t12fFiV\n4YYWt8eXVVqiWkSNL7p+WOPWPbGyOZ8drJwNMvabaE2c83bLKMw0iVomINJORsso9DSJXEYheizp\nYUeTE2dD586dkZaWJsVSFSHLKFpaWkRUKwRll/wg4GdbV6xYgccee8y3+rRQvxJB5fjx4ynjbJBx\ngi+TFqPv9T5rx4XRHIP1wwAAIABJREFU78nZEH+fJqOzga4f1rh1T9zQ0GDb2WD11FPGfhOtqamp\nCefPn495cm+mSdQyAZF2MlpGoadJ5DIK0WNJDzuanLzeljGGzMzM1IlsIAiCIIJDqjgb9JZaaDez\njFeLUZ1O9MrsbHCangrOhnjT49USvQeFWTkyOxsI/3DibJBpPXeyoEyM7S5VEblMQBRGyyj0CKJ9\nEkU5Xrt27Worf6CdDVdddZWIaoWwceNG0RJ8g9qamgSprW7DGBvFGNvNGKtkjD2i831nxtjLke/L\nGWN9o757NJK+mzF2SyStC2PsQ8bYZ4yxXYyxJ6LyXxYpozJSZicv2rRx48akdjY4rcevCb6dsmVy\nNmjLMRsXVtrttNmOFqM0Lxwf8fapF+PLqmy79XgxvmS4fsh+HnbrnjgeZ4PRk2UZ+k2LaE3KxDh6\nmYCZJlHLBETayWgZhZ6m7OxsNDc349y5cz4os9YjGjuaQqEQunTpgvT0dFtlBtrZUFNTI6JaIcyf\nP1+0BN+gtqYmQWqrmzDG0gEsBVAE4BoAExlj12iy3QuglnPeD8BvATwd+e01ACYAuBbAKAAlkfLO\nAriZc/7vAG4AMIoxNjRS1tMAfhspqzZStuvMnz/f8QRM79WXMkzwZXI2yKjF6Hu9cszGhZV2u1qU\nJ/1uOW3s5Hc61q1IpE8TcXyIGl+irx/JcB52657YzQ0iRfebHqI16UU2mGkStUxAlJ0454bLKPQ0\nKfmCZCMz7Ghy4lAEwjYOrLPh9OnTIqoVwoYNG0RL8A1qa2oSpLa6zI0AKjnn+zjn5wCUAhijyTMG\nwAuRv18F8D0WnlGNAVDKOT/LOd8PoBLAjTyMcmXuGPnHI7+5OVIGImWO9aJRGzZsSIqnvTJNwKzK\n9lOLV84Gs3Fhpd3OeLGTbvfVl2bpdu0iYqy7rcXoOzfHlwTXD+nPw27dEzvZILJTp05IT083nIhI\n0G/tEK1Jz9lgpknUMgFRdmpqakJra6uus0FPk5IvSDYyw44mp86GzMzM4G4QSRAEEQB6ATgY9bk6\nkqabh3PeAuAUgIvMfssYS2eMfQrgKIANnPPyyG/qImUY1eUaMk3ArMpMtgm+HS1WaW5pMavHSm8i\n2uPVYreMeB0ffo91N7X4Ndad/M4nUvY8rMXJRESmzeOSBb1lFGaIfNuCCJS2OrFP9O8Ia+JxNshw\njHcQUWmfPn1EVCuERYsWiZbgG9TW1CRIbU0GOOetAG5gjOUCWMsYGwjgsJ3fMsamApgKAN26dUNB\nQQEAYObMmRgwYACmT58OABg2bBgWLlyIoUPDkcGZmZnYtGkTJk+ejFAohMLCQrXMBx54ADk5OSgu\nLlaf0L3wwgtIS0vDnDlzMGLEiJgndxMmTEBlZWXMZGTKlCnIysrC3Llz0aVLF7zzzjsAgJ07d+LY\nsWMoKirCsWPH1Pxjx45FdXU1AKCsrExNnzNnDi666CI0NTWp6Z9++ikOHjyIcePGAYjdWKmwsBBp\naWlYv369mjZjxgw8//zzqKmpwcKFC7Fv3z4A4Yu8Yq+OHTuq+ZW0rVu3ori4WE3fu3cvXnjhBSxZ\nsgR79+4FAJw8eVLNP3jwYIwZ0/aAtaioCJ988glmzJihpn311VdYvnw5li9fDgC4+OKLAQDbtm1D\nQUEBhg0bhhEjRqj5hw8frvbTzp071Zvjf/7zn2q9nTqFl5Bv2bIFBQUFGDlyJObMmYMJEyao5XDO\n1X5SeOONN/Dcc88BAObOnavaZf/+/XjiiScwd+5c/OxnP4spI7qfmpubAYTfJLRhwwYsWLBALX/H\njh145plnMHHiRIwbNw5NTU1qOQ888EC73foXL16MNWvWYNGiRaipqcGzzz4LAGhtbcWePXswceJE\nNDY2qvnvvvtudbxt3boV+/fvBwC88sormDx5MioqKrBixQoAQG1tLXbs2IEpU6YAAK6//nq1nJkz\nZ6Jbt24oLy9X27Vy5Urceeed2LJlC5YvXx4zThWbX3vttWraT37yE/To0UPtp02bNgEIT2QWL16M\nVatW4ciRI6oNlTJGjhyJX/7yl2o5zzzzDO666y5MmDABn3/+OYDwTfszzzyDNWvWAAC+//3vq/kL\nCwsxZsyYmH5+/PHHccstt6j9VFVVBSA8dpV6o1/HVlBQgPHjx6v9pMA5x6hRo3D8+PGYPi0oKEAo\nFML777+vHk8AMGnSJBQVFWHixIkAgIEDB2LlypUYPny4FDfGdkjkPAzEnouzs7PjOhfv3LkTALB6\n9WqUlZXh66+/xptvvomXX34ZeXl5mDVrFgCox7h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XeyJ9alW2Xe2ijju6fljjxj2x2yHW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\nSUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 1296x432 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "g1VdSM0OX42y",
        "colab_type": "code",
        "outputId": "71495841-ed37-488a-d905-6f70fbe8b023",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 396
        }
      },
      "source": [
        "plt.figure()\n",
        "\n",
        "# ------\n",
        "dt_fft_low_pass = dt_fft * SAMPLING_PERIOD\n",
        "dt_fft_low_pass[0:int(LEN/2) + int(band_start * LEN)] = 0\n",
        "dt_fft_low_pass[int(LEN/2)+ int(band_stop * LEN):] = 0\n",
        "\n",
        "ax = plt.subplot(NUM_ROWS, NUM_COLS, 2)\n",
        "ax.set_xticks([-0.5, -0.25, 0, 0.25, 0.5])\n",
        "ax.grid(color='k', linestyle='--')\n",
        "ax.set_xlabel(\"(h)\", fontsize=14)\n",
        "# \n",
        "ax.plot(fft_x, np.abs(dt_fft_low_pass) / LEN, 'k')\n",
        "\n",
        "# ------\n",
        "ax = plt.subplot(NUM_ROWS, NUM_COLS, 3)\n",
        "ax.set_xlim(-0.04, 0.04)\n",
        "ax.grid(color='k', linestyle='--')\n",
        "ax.set_xlabel(\"(i)\", fontsize=14)\n",
        "# \n",
        "ax.plot(fft_x, np.abs(dt_fft_low_pass) / LEN, 'k')\n",
        "\n",
        "# ------\n",
        "ct_y_low_pass = np.fft.ifft(np.fft.fftshift(dt_fft_low_pass))\n",
        "\n",
        "ax = plt.subplot(NUM_ROWS, NUM_COLS, 1)\n",
        "ax.set_xlim(0, 1)\n",
        "ax.set_ylim(-2, 2)\n",
        "ax.set_yticks([-2, -1, 0, 1, 2])\n",
        "ax.grid(color='k', linestyle='--')\n",
        "ax.set_xlabel(\"(g)\", fontsize=14)\n",
        "# \n",
        "ax.plot(ct_x, np.real(ct_y_low_pass), 'k')\n",
        "\n",
        "# ------\n",
        "plt.show()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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n1nHcdNDk3EYRTlNGRgbZmQSUPlnhgXMbhVOT9TxV2KBDLTnRUZNXkIQNZ8+e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\n8v8DZym/zD+rP3YAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 1296x432 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "8rdZyhPQY9BG",
        "colab_type": "code",
        "outputId": "42e4fa63-9a2a-4708-dc32-50e1cc1620eb",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 408
        }
      },
      "source": [
        "SAMPLING_FREQ = 0.016\n",
        "SAMPLING_PERIOD = int(1.0/SAMPLING_FREQ)\n",
        "\n",
        "plt.figure()\n",
        "\n",
        "# ------\n",
        "sample_train = np.full(LEN, 0)\n",
        "sample_train[::SAMPLING_PERIOD] = 1\n",
        "dt_y = ct_y * sample_train\n",
        "\n",
        "ax = plt.subplot(NUM_ROWS, NUM_COLS, 1)\n",
        "ax.set_xlim(0, 1)\n",
        "ax.set_ylim(-2, 2)\n",
        "ax.set_yticks([-2, -1, 0, 1, 2])\n",
        "ax.grid(color='k', linestyle='--')\n",
        "ax.set_xlabel(\"(j)\", fontsize=14)\n",
        "ax.set_title('Time domain')\n",
        "# \n",
        "ax.plot(ct_x, dt_y, 'k')\n",
        "\n",
        "# ------\n",
        "dt_fft = np.fft.fftshift(np.fft.fft(dt_y))\n",
        "\n",
        "ax = plt.subplot(NUM_ROWS, NUM_COLS, 2)\n",
        "ax.set_xticks([-0.5, -0.25, 0, 0.25, 0.5])\n",
        "ax.grid(color='k', linestyle='--')\n",
        "ax.set_title('Frequency domain')\n",
        "ax.set_xlabel(\"(k)\", fontsize=14)\n",
        "# \n",
        "ax.plot(fft_x, np.abs(dt_fft) / LEN, 'k')\n",
        "\n",
        "# ------\n",
        "ax = plt.subplot(NUM_ROWS, NUM_COLS, 3)\n",
        "ax.set_xlim(-0.04, 0.04)\n",
        "ax.grid(color='k', linestyle='--')\n",
        "ax.set_title('Zoomed-in frequency domain')\n",
        "ax.set_xlabel(\"(l)\", fontsize=14)\n",
        "# \n",
        "ax.plot(fft_x, np.abs(dt_fft) / LEN, 'k')\n",
        "\n",
        "plt.show()\n"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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8EkDEpV/AzFH5EPL+9re/jXoGc6tXxMKFCwFA93JYuXIlAOs6FW3H6CFh5uyz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t9Pu/EMTKdNm+ZZRlUA7CY4D7L15cKFC13bFkSPG3+ifxt+CAp2zM55aeubb74ZIezhZ04c9Ou3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\nYb8PA3wvZhgmnPh1Hw4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0CyE+E0I02ZI9AeAGImofhEaGYZgsx+7wdUUI8TmAPwH4RcpV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\n5wAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 1296x432 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "TVR18M3KaV8n",
        "colab_type": "code",
        "outputId": "d20b7ab7-0516-4703-ec91-53e51577eab0",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 396
        }
      },
      "source": [
        "plt.figure()\n",
        "\n",
        "# ------\n",
        "dt_fft_low_pass = dt_fft * SAMPLING_PERIOD\n",
        "dt_fft_low_pass[0:int(LEN/2) + int(band_start * LEN)] = 0\n",
        "dt_fft_low_pass[int(LEN/2)+ int(band_stop * LEN):] = 0\n",
        "\n",
        "ax = plt.subplot(NUM_ROWS, NUM_COLS, 2)\n",
        "ax.set_xticks([-0.5, -0.25, 0, 0.25, 0.5])\n",
        "ax.grid(color='k', linestyle='--')\n",
        "ax.set_xlabel(\"(n)\", fontsize=14)\n",
        "# \n",
        "ax.plot(fft_x, np.abs(dt_fft_low_pass) / LEN, 'k')\n",
        "\n",
        "# ------\n",
        "ax = plt.subplot(NUM_ROWS, NUM_COLS, 3)\n",
        "ax.set_xlim(-0.04, 0.04)\n",
        "ax.grid(color='k', linestyle='--')\n",
        "ax.set_xlabel(\"(o)\", fontsize=14)\n",
        "# \n",
        "ax.plot(fft_x, np.abs(dt_fft_low_pass) / LEN, 'k')\n",
        "\n",
        "# ------\n",
        "ct_y_low_pass = np.fft.ifft(np.fft.fftshift(dt_fft_low_pass))\n",
        "\n",
        "ax = plt.subplot(NUM_ROWS, NUM_COLS, 1)\n",
        "ax.set_xlim(0, 1)\n",
        "ax.set_ylim(-2, 2)\n",
        "ax.set_yticks([-2, -1, 0, 1, 2])\n",
        "ax.grid(color='k', linestyle='--')\n",
        "ax.set_xlabel(\"(m)\", fontsize=14)\n",
        "# \n",
        "ax.plot(ct_x, np.real(ct_y_low_pass), 'k')\n",
        "\n",
        "# ------\n",
        "plt.show()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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vmThxIj799FOcPn1auCY741RYWIjTp0/jxhtv9D53xx13oLy8HG+//TbuvPNOxMfH4y9/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\n6wAAI0eOxNq1azF//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            "text/plain": [
              "<Figure size 1296x432 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "TEgRjFAwDPQS",
        "colab_type": "code",
        "outputId": "83b8195d-bd9b-49d4-f76a-07d6e8fa893e",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        }
      },
      "source": [
        "# Rasterization aliasing\n",
        "from matplotlib import animation, rc\n",
        "from IPython.display import HTML\n",
        "import math\n",
        "\n",
        "plt.rcParams['figure.figsize'] = [12, 8]\n",
        "\n",
        "NUM_FRAMES = 400\n",
        "LEN = 1024\n",
        "NUM_PIX = 16\n",
        "PIX_W = int(LEN / NUM_PIX)\n",
        "\n",
        "ct_y = np.zeros(LEN)\n",
        "ct_y[512::] = 1.0\n",
        "\n",
        "fig, a = plt.subplots(2, 2)\n",
        "# Unfiltered signal\n",
        "a[0][0].set_xlim(0, 1024)\n",
        "a[0][0].set_xticklabels([])\n",
        "a[0][0].set_xticks(np.arange(PIX_W / 2, LEN, PIX_W))\n",
        "a[0][0].set_ylim(-0.5, 1.5)\n",
        "a[0][0].set_yticks([-0.5, 0, 1, 1.5])\n",
        "a[0][0].grid(color='k', linestyle='--')\n",
        "\n",
        "ct_0, = a[0][0].plot([], 'k')\n",
        "\n",
        "# Filtered signal\n",
        "a[0][1].set_xlim(0, 1024)\n",
        "a[0][1].set_xticklabels([])\n",
        "a[0][1].set_xticks(np.arange(PIX_W / 2, LEN, PIX_W))\n",
        "a[0][1].set_ylim(-0.5, 1.5)\n",
        "a[0][1].set_yticks([-0.5, 0, 1, 1.5])\n",
        "a[0][1].grid(color='k', linestyle='--')\n",
        "\n",
        "ct_1, = a[0][1].plot([], 'k')\n",
        "\n",
        "# Unfiltered pixels\n",
        "a[1][0].set_xticks(np.arange(0.5, 16.5))\n",
        "a[1][0].set_xticklabels([])\n",
        "dt_data_0 = np.empty((1, 16))\n",
        "dt_0 = a[1][0].imshow(dt_data_0, cmap='gray', vmin=0, vmax=1)\n",
        "\n",
        "# Filtered pixels\n",
        "a[1][1].set_xticks(np.arange(0.5, 16.5))\n",
        "a[1][1].set_xticklabels([])\n",
        "dt_data_1 = np.empty((1, 16))\n",
        "dt_1 = a[1][1].imshow(dt_data_1, cmap='gray', vmin=0, vmax=1)\n",
        "# \n",
        "plt.tight_layout()\n",
        "\n",
        "filter_b, filter_a = signal.butter(3, 8.0 / 512.0)\n",
        "\n",
        "def init():\n",
        "    ct_0.set_data([], [])\n",
        "    ct_1.set_data([], [])\n",
        "    dt_0.set_data(dt_data_0)\n",
        "    dt_1.set_data(dt_data_1)\n",
        "    return ct_0, ct_1, dt_0, dt_1\n",
        "\n",
        "def sigmoid(t, sharpness):\n",
        "  return 1 / (1 + np.exp(-2*sharpness*t + sharpness))\n",
        "  \n",
        "def animate(i):\n",
        "    t = 2 * min(i, NUM_FRAMES - i) / NUM_FRAMES\n",
        "    t = sigmoid(t, 10)\n",
        "\n",
        "    ct_y = np.zeros(LEN)\n",
        "    ct_y[int(400+200*t)::] = 1.0\n",
        "    ct_0.set_data(np.arange(0, len(ct_y)), ct_y)\n",
        "    dt_data_0 = ct_y[32::64].reshape((1, 16))\n",
        "    dt_0.set_data(dt_data_0)\n",
        "\n",
        "    ct_y = signal.lfilter(filter_b, filter_a, ct_y)\n",
        "    ct_1.set_data(np.arange(0, len(ct_y)), ct_y)\n",
        "    dt_data_1 = ct_y[32::64].reshape((1, 16))\n",
        "    dt_1.set_data(dt_data_1)\n",
        "    return ct_0, ct_1, dt_0, dt_1\n",
        "\n",
        "\n",
        "\n",
        "anim = animation.FuncAnimation(fig, animate, init_func=init,\n",
        "                               frames=NUM_FRAMES, interval=20, blit=True)\n",
        "\n",
        "\n",
        "\n",
        "HTML(anim.to_html5_video())\n"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
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              "  <source type=\"video/mp4\" src=\"data:video/mp4;base64,AAAAHGZ0eXBNNFYgAAACAGlzb21pc28yYXZjMQAAAAhmcmVlAAIX5m1kYXQAAAKuBgX//6rcRem9\n",
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            "text/plain": [
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          },
          "metadata": {
            "tags": []
          },
          "execution_count": 28
        },
        {
          "output_type": "display_data",
          "data": {
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W3n77bf3sZz9TeXn53zzP9/NDP/sZvvSD2WABAACgOG+88YbeeustfeUrX9ExxxxT8L9v\njNGNN96oQYMG6atf/aqam5t1//33a8iQIQkcLeC2YO7BamlpUWVlZYJHlPwM+vTp06ffIdR7sFw7\nz/TpH/Sf//mfuuaaa7R27VqddNJJvWr9+te/1uc//3mNHDlSv/vd7zRx4kRJfp8f+m7McK2f6D1Y\nxpifGmO2GWPW5Ph1Y4z5njGm0Riz2hhzShxzD3XTTTfFnUx9Bn369OnTT4YL65Tk/3mmH27/7rvv\n1vDhw3u9uZKkiy++WI8++qh27typKVOm6IEHHpDk9/mh78YMX/pxvcnFQkk93RU2Q9KEzkeNpB/G\nNLfLsmXL4k6mPoM+ffr06SdmoTJepyT/zzP9MPtr167Vc889p379+sXWPP300/X0009r7Nixmjlz\npq666io99NBDsfW74+v5D6Wfxgxf+rHcg2WtfcIYM6aHp3xK0t2dn3j8tDHmGGPMCGttcxzzgXy9\n8MILev3117v9tZ07dyb6G5c+ffrZbbJYp4Dc7r//fkkq6t6rnpx44on685//rG984xu67bbb1L9/\nf/3mN7/RRRddlOhbuVtrtW3btq7H9u3btW3bNu3cuVOtra3as2eP9uzZo9bWVh04cEAlJSUyxvzN\n/5aWlqqsrOxvHlu3btWNN97Y9fPuntPT49Dnl5aW/t052LVrl1auXNn139DTf1/Uf393Wlpa9OST\nTxb17+Y797333tMTTzyRSFuS3nvvPT366KNF/bv5/NrOnTv1xz/+Ma9/t6f/D8d2D1bnwvVba+3k\nbn7tt5Juttb+qfPnj0i6zlpbf9jzatTxnUMde+yxVWPHjpUkXX311Zo0aVLXB96dddZZuvXWW3X6\n6adLkioqKnTjjTfqpz/9qdas6Xj1x6JFi7R06VLdfffdkqR58+ZpxIgRuuaaayRJ06dP1ze/+U1N\nmzZNkjR48GD94Q9/0KxZs9TY2ChJuu+++7Ro0SItXrxYkvQv//Ivqqqq0je+8Q1J0gUXXKArr7xS\nM2bMkCSNGjVK999/v2bOnKktW7ZIkpYuXaoFCxZoyZIlkqRvf/vbam1t1Q033CBJuuSSSzR79mxd\neOGFamlp0cknn6x77rlH5513Xtc7mTz22GO66aabuv5yctttt6m5ubnrQ/3mzJmjGTNmaPbs2ZKk\nyZMna+HChZo6dap27dolSXr66af12c9+Vhs3bpQkLViwQA0NDfr+978vSaqpqdGUKVN0+eWXS5JO\nPfVU/fCHP9Rpp52m9vZ2lZaWauXKlZo7d66eeeYZSdKdd96pp556SnV1dZKkc889VzNnzuzx6/T4\n44/rsssuK+rr1NLSojFjxkR+na6//nqVl5f/3dfp3HPP1XPPPXf4/z0BuCn2e7DiWKc6f83Ztaql\npUW33HJLt38GxrFWTZ8+XZWVlRo/fnwia9Utt9yiJUuWaMWKFZLiX6taWlr09a9/PfLrVOxaVV1d\nrcrKyrz+TpFrrerp63T99dfr2WefzevvFJLy/jp94QtfUHNzs0aPHt11DFF/p5g3b15BX6fZs2fr\n3HPP1d69e3XkkUeqrq5Ojz76aNe6fPjfKaJ+Px155JG69957NWfOHDU0NKi1tVUnnHCCtmzZoubm\nZh04cEDdKSkp6frfsrIyDR06VDt27ND+/fsldWwyD26+rLXq16+fDhw4oH379nXbQ99ljJG1ttu1\nyqkN1qEKvXH4l7/8pT7zmc8UetgFSXoG/WT7b7zxhoYPH65rrrlGF1100d/9+iOPPKJzzjmnN4fY\nI/r06eff/+hHP+rsButQrq1V9OkXauvWrRo5cqS+9a1vafz48Yke/y9+8Qvt3btXt9xyi1566SVV\nVFRoxowZ+uhHP6oPf/jDOv744zVs2LCulyru3LlTb775pl5//XVt3LhRL7/8sjZu3KgNGzZow4YN\nevvtt7vapaWlGjJkiE455RRNmDBB48aN0/DhwzVkyBANHTpUQ4YM0cCBA9WvX7+ir57dc889+vSn\nP622tra/ebS3t//dP8v1OPS5h3v88cc1derUrp/3eIUk4r+hu19/7LHHNG3atKL+3XznPvbYY/r4\nxz+eSNsYo+XLl+vss88u6t/N59e6W6ty/bvGGJ155pndr1XW2lgeksZIWpPj134kafYhP18naURP\nvaqqKluIQp9fjKRn0E+239zcbCXZBQsWJNKPQp8+/fxJqrcxrU/WJrNOWQfXKvr0C3XHHXdYSfb5\n559P7fjb29vtI488YmtqauyoUaOspLweJSUldsyYMfacc86xc+fOtbfddpv97W9/a9etW2f37dvn\n5fkPqZ/GDNf6udaqtD4H60FJVxlj7pF0mqR3La9rR8ps59XaJF/3DcBbrFPokx599FENHTpUH/zg\nB1ObWVJSorPPPrvrSsSWLVv04osvasuWLXrjjTfU3t6uAwcOaODAgTr22GM1dOhQnXjiiTrhhBPU\nv3//1I4TKFYsGyxjzCJJ0yQNNsZskfTvkvpJkrX2dkm/l3S+pEZJuyVdHsfcQ82ZMyfuZOoz6NOn\nT59+MlxYpyT/zzP9sPrWWi1fvlwf//jHZYzJ7PhHjRqlUaNGJdaPC/3sZ/jSj+tdBGdH/LqV9OU4\nZuVy8KZQn2fQT7YfdQXL9eOnT59+8VxYpyT/zzP9sPobNmzQ1q1bu+6Z8e346bvVT2OGL/24Pgcr\ncwff7cbnGfST7R/cYCXVj0KfPn34fp7ph9U/+HbXBzdYvh0/fbf6aczwpR/MBgvIF/dgAQAgLV++\nXCNHjtSECROyPhQgKMFssCZP/rt33fVuBv1k+1EvEXT9+OnTp+8/388z/XD61lqtWLFCU6dO7VoX\nfTp++u7105jhSz+2z8GKW6GfLQJE2bJli0aPHq26ujpdccUVWR8OgB4YY2L/HKwksFbBVwfXxO99\n73u6+uqrsz4cwEu51qpgrmAd+sFsvs6gn2w/6gqW68dPnz59//l+numH01+5cqUk6bTTTkuk3x36\nYffTmOFLP5gN1q5du7yfQT/ZftQGy/Xjp0+fvv98P8/0w+mvXLlS/fv314c+9KFE+t2hH3Y/jRm+\n9IPZYAEAACA/K1eu1Ic//GENGDAg60MBghPMPVhtbW0qK4vlY70ym0E/2f4rr7yiMWPG6I477tAX\nvvCF2PtR6NOnn38/1HuwXDvP9Ptmv62tTQMHDtQXv/hFffe7342939Nc+uH205jhWj/4e7DmzZvn\n/Qz69OnTpx82388z/TD6a9eu1e7du/WRj3wkkX4u9MPupzHDl34wG6wVK1Z4P4N+sv2oe7BcP376\n9On7z/fzTD+M/qpVqyTp7zZYvhw/fTf7aczwpR/MBguIErXBAgCgL3juuedUWVmpcePGZX0oQJis\ntU4+qqqqbCFWrlxZ0POLkfQM+sn2N27caCXZO++8M5F+FPr06edPUr11YC2Keri2VtGnn4+Pfexj\ndsqUKYn1c6Efdj+NGa71c61VwVzBamho8H4G/WT7NuIKluvHT58+ff/5fp7p+9+31ur555//m7dn\nj7PfE/ph99OY4U2/u12XC49CvytY6POLkfQM+sn2GxsbrSR71113JdKPQp8+/fwp0CtYrp1n+n2v\n39TUZCXZH/7wh4n0e0I/7H4aM1zr51qrgrmCBQAAgJ4999xzktTtFSwA8Qhmg1VTU+P9DPrJ9m3E\nSwRdP3769On7z/fzTN///vPPPy9jjD74wQ8m0u8J/bD7aczwpR/MBmvKlCnez6BPnz59+mHz/TzT\n97///PPPa9y4caqsrEyk3xP6YffTmOFNv7vXDbrwcO117WnMoJ9sf/369VaS/Z//+Z9E+lHo06ef\nP3EPVlHo048yYcIEe9FFFyXW7wn9sPtpzHCtn2utCuYKFhDFRrxEEACAkLW2turll1/WBz7wgawP\nBQhaMBusU0891fsZ9OnTp08/bL6fZ/p+9zds2KADBw5o0qRJifSj0A+7n8YMX/rm4Hf1XVNdXW3r\n6+uzPgwEZN26dXr/+9+vn//85/rsZz+b9eEA6IExZpW1tjrr44jCWgWfLF68WJ/5zGf07LPP6uST\nT876cADv5VqrgrmCddppp3k/g346/VwvEfTl+OnTp+8v388zfb/7DQ0NMsZo4sSJifSj0A+7n8YM\nX/rBbLDa29u9n0E/2X7U1VrXj58+ffr+8/080/e739DQoDFjxuiII45IpB+Fftj9NGb40g9mg1Va\nWur9DPrJ9qPe5ML146dPn77/fD/P9P3uNzQ05Lz/Ko5+FPph99OY4Uufe7DQZzQ0NOikk07SokWL\nNGvWrKwPB0APuAcLiFd7e7sqKip01VVX6Tvf+U7WhwMEIfh7sObOnev9DPrJ9qOuYLl+/PTp0/ef\n7+eZvr/9pqYm7d27t8crWC4fP333+2nM8KUfzAbrmWee8X4G/WT7URss14+fPn36/vP9PNP3t9/Q\n0CBJPW6wXD5++u7305jhSz+YDRYAAAC6l88GC0BMrLVOPqqqqmwhVq9eXdDzi5H0DPrJ9l944QUr\nyS5evDiRfhT69OnnT1K9dWAtinq4tlbRp5/L5ZdfbocNG5ZYPx/0w+6nMcO1fq61KpgrWE899ZT3\nM+in08/1EkFfjp8+ffr+8v080/e3v27dOr3//e9PrJ8P+mH305jhTb+7XZcLj0K/K1jo84uR9Az6\nyfZXr15tJdlf/epXifSj0KdPP38K9AqWa+eZft/pDx061H7xi19MrJ8P+mH305jhWj/XWhXMFSwg\nSsfvg9xXsAAACNHOnTu1bds2jR8/PutDAfqE0tra2qyPoVt1dXW1NTU1eT9/wIABOvnkkxM8ouRn\n0E+2/8Ybb+j222/XJZdcopNOOin2fhT69Onn358/f35zbW1tXWIHFBPX1ir69Lvz4osv6kc/+pG+\n9KUvdbv+9bafL/ph99OY4Vo/11oVzBWsNN4VJ+kZ9JPtR13Bcv346dOn7z/fzzN9P/uNjY2SFHkF\ny9Xjp+9HP40Z3vS7e92gCw/XXteexgz6yfafffZZK8nee++9ifSj0KdPP3/iHqyi0KffnW9/+9tW\nkn3vvfcS6eeLftj9NGa41s+1VgVzBQsAAAB/r7GxUcOHD1dlZWXWhwL0CcFssM466yzvZ9BPtm8j\nXiLo+vHTp0/ff76fZ/p+9hsbG/N6gwtXj5++H/00ZvjSNwf/0uma6upqW19fn/fz29raVFZWluAR\nJT+DfrL9Z599Vqeccoruv/9+fepTn4q9H4U+ffr5940xq6y11YkdUExcW6vo0+/OyJEjde655+rO\nO+9MpJ8v+mH305jhWj/XWhXMFazTTz/d+xn0k+1HfTPB9eOnT5++/3w/z/T96+/atUtbt27N6wqW\ni8dP359+GjN86QezwQKiRL1EEACA0GzcuFFS9DsIAohPMBusiooK72fQp0+fPv2w+X6e6fvXP/gW\n7RMmTEikXwj6YffTmOFLP5h7sIAo9fX1OvXUU/Xggw/qggsuyPpwAPQg1HuwgLTdeuutuvbaa/XO\nO+9o4MCBWR8OEJTg78G67LLLvJ9BP51+rpcI+nL89OnT95fv55m+f/3GxkYNGTIkr82Vi8dP359+\nGjN86QezwVqzZo33M+gn24+6Wuv68dOnT99/vp9n+v71832L9mL7haAfdj+NGb70g9lgAVF4kwsA\nQF9TyAYLQEystU4+qqqqbCHWr19f0POLkfQM+sn2V65caSXZ3/3ud4n0o9CnTz9/kuqtA2tR1MO1\ntYo+/UPt3bvXGmPsv//7vyfSLxT9sPtpzHCtn2utCuYK1tKlS72fQT/Zvo14iaDrx0+fPn3/+X6e\n6fvV37x5s6y1Gjt2bCL9QtEPu5/GDF/6wWyw7r77bu9n0E+2f3CDleslgq4fP3369P3n+3mm71e/\nqalJkjRmzJhE+oWiH3Y/jRm+9IPZYAEAAOD/KXSDBSAepbW1tVkfQ7fq6upqa2pq8n7+wIEDNXny\n5ASPKPkZ9JPtb968WXfccYc+97nPdXvDr+vHT59+X+rPnz+/uba2ti6xA4qJa2sVffqHuvfee/Xn\nP/9Zt9xyi0pKor+n7trx0/ern8YM1/q51qpgrmCNGDHC+xn00+nneomgL8dPnz59f/l+nun71W9q\natLo0aNVVlaWSL9Q9MPupzHDm35373zhwqPQd2Yq9PnFSHoG/WT7Tz75pJVk//CHPyTSj0KfPv38\nKdB3EXTtPNMPu3/mmWfaaTNsGHIAACAASURBVNOmJdYvFP2w+2nMcK2fa60K5goWEMVGvMkFAAAh\naWpq4v4rIAPBbLCmT5/u/Qz66fRzbbB8OX769On7y/fzTN+f/t69e7V169aCNlguHT99//ppzPCl\nbw5+V9811dXVtr6+Pu/nt7S0qLKyMsEjSn4G/WT7f/rTn3TWWWfp4Ycf7vY3kOvHT59+X+obY1ZZ\na6sTO6CYuLZW0ad/UGNjoyZMmKCFCxfq0ksvjb1fDPph99OY4Vo/11oVzBWsadOmeT+Dfjr9XFew\nfDl++vTp+8v380zfn34xb9Hu0vHT96+fxgxf+sFssIAorl6tBQAgbnwGFpCdYDZYgwcP9n4G/WT7\nUW9y4frx06dP33++n2f6/vSbmppUWlqqkSNHJtIvBv2w+2nM8KUfzD1YQJQnnnhCU6dO1SOPPKKz\nzz4768MB0INQ78EC0vK5z31OTz75pDZt2pT1oQDBCv4erFmzZnk/g36y/ahvJrh+/PTp0/ef7+eZ\nvj/9Yt6i3aXjp+9fP40ZvvSD2WA1NjZ6P4N+sv2olwi6fvz06dP3n+/nmb4//WI2WC4dP33/+mnM\n8KUfzAYLyBcfNAwACFkxn4EFIEbWWicfVVVVthCvvvpqQc8vRtIz6CfbX758uZVkH3300UT6UejT\np58/SfXWgbUo6uHaWkWfvrXWbtiwwUqyd911VyL9YtEPu5/GDNf6udaqYK5gLVq0yPsZ9NPp57qC\n5cvx06dP31++n2f6fvSLfYt2V46fvp/9NGb40g9mg7V48WLvZ9BPtm8j3uTC9eOnT5++/3w/z/T9\n6Be7wXLl+On72U9jhi/9YDZYQJSDGyzuwQIAhKypqUllZWU67rjjsj4UoE8qra2tzfoYulVXV1db\nU1OT9/OHDx+uiRMnJnhEyc+gn2x/06ZNuvvuu/WFL3xBJ5xwQuz9KPTp08+/P3/+/Oba2tq6xA4o\nJq6tVfTpS9JPf/pT7dy5U1/96lcT6ReLftj9NGa41s+1VgVzBau8vNz7GfST7Ue9RND146dPn77/\nfD/P9P3ob9q0qah3EHTl+On72U9jhjf97t75woVHoe/MVOjzi5H0DPrJ9pctW2Yl2RUrViTSj0Kf\nPv38KdB3EXTtPNMPs3/cccfZyy+/PLF+seiH3U9jhmv9XGtVMFewgCg24goWAAC+4zOwgOwFs8G6\n4IILvJ9BP9n+wQ1Wrje5cP346dOn7z/fzzN99/uvvvqqpMLfQTDffm/QD7ufxgxf+sbV7+pXV1fb\n+vr6vJ+/fft2DRkyJMEjSn4G/WT7Dz/8sD7xiU/oySef1BlnnBF7Pwp9+vTz7xtjVllrqxM7oJi4\ntlbRp79s2TKde+65evzxx/Wxj30s9n5v0A+7n8YM1/q51qpgrmDNmDHD+xn0k+1HfTPB9eOnT5++\n/3w/z/Td7xf7GVj59nuDftj9NGb40g9mgwVEiXqJIAAAvuMzsIDsBbPBGjVqlPcz6KfTz7XB8uX4\n6dOn7y/fzzN99/tNTU0aPXq0ysrKEun3Bv2w+2nM8KUfzD1YQJSlS5fq/PPP11NPPaXTTz8968MB\n0INQ78ECknbmmWdqwIABWr58edaHAgQv+HuwZs6c6f0M+un0c13B8uX46dOn7y/fzzN99/tNTU1F\nv0W7C8dP399+GjN86QezwdqyZYv3M+gn24+6Wuv68dOnT99/vp9n+m73e/sZWFkfP32/+2nM8KUf\nzAYLiMKbXAAAQtabz8ACEJ9g7sHivf3pR/nd736nf/7nf9Zf/vIXnXrqqbH3o9CnT5/PwXLtPNMP\nq9+bz8DKp99b9MPupzHDtX7w92AtWLDA+xn0k+1HfTPB9eOnT5++/3w/z/Td7vfmM7Dy6fcW/bD7\naczwpR/MBmvJkiXez6CfTj/XSwR9OX769On7y/fzTN/tfm8/Ayvr46fvdz+NGb70g9lgAVG4BwsA\nELLefAYWgBhZa518VFVV2UI89NBDBT2/GEnPoJ9s/4EHHrCSbH19fSL9KPTp08+fpHrrwFoU9XBt\nraLft/tnnHGG/fjHP55Yv7foh91PY4Zr/VxrVTBXsFpbW72fQT+dfq4rWL4cP3369P3l+3mm73Z/\n06ZNvXoHwayPn77f/TRmeNPvbtflwqPQ7woW+vxiJD2DfrL9+++/30qyq1atSqQfhT59+vlToFew\nXDvP9MPp79mzx0qyN9xwQyL9ONAPu5/GDNf6udaqYK5gAVE6fh9wDxYAIDyvvPKKJD4DC3BBMBus\nSy65xPsZ9NPp59pg+XL89OnT95fv55m+u/3evkV7VD8O9MPupzHDm353l7VceBR6ie7VV18t6PnF\nSHoG/WT79957r5Vkn3322UT6UejTp58/BfoSQdfOM/1w+rfffruVZDdv3pxIPw70w+6nMcO1fq61\nKpgrWBdeeKH3M+in0891BcuX46dPn76/fD/P9N3tb9q0Sf369dOIESMS6ceBftj9NGb40g9mgwVE\nsdyDBQAIVFNTk44//niVlpZmfShAnxfMBmv8+PHez6CfbP/gBiupfhT69OnD9/NM391+U1OTxo4d\nm1g/DvTD7qcxw5e+ifpLZ1aqq6ttfX191oeBgPzmN7/RxRdfrNWrV+uDH/xg1ocDoAfGmFXW2uqs\njyMKaxVcMWzYMH3yk5/Uj3/846wPBegzcq1VwVzBOu+887yfQT/ZftQ3E1w/fvr06fvP9/NM383+\n7t27tW3btl5fwQr1/NBPp5/GDF/6wWywduzY4f0M+sn2o+7Bcv346dOn7z/fzzN9N/txvEV7T/24\n0A+7n8YMX/rBbLCAfPEmFwCAkMS1wQIQj2DuwWppaVFlZWWCR5T8DPrJ9hcvXqzPfOYzWrNmjT7w\ngQ/E3o9Cnz79/Puh3oPl2nmmH0Z/wYIF+vKXv6ytW7f26m3aQz0/9NPppzHDtX7w92DddNNN3s+g\nn04/1xUsX46fPn36/vL9PNN3s79p0yYNGDBAw4YNS6QfF/ph99OY4Us/mA3WsmXLvJ9BP9l+1D1Y\nrh8/ffr0/ef7eabvZr+pqUknnHCCSkp699e6UM8P/XT6aczwpR/MBguI4urLYQEA6I04PgMLQIys\ntU4+qqqqbCEef/zxgp5fjKRn0E+2v2jRIivJNjQ0JNKPQp8+/fxJqrcOrEVRD9fWKvp9sz9o0CD7\nr//6r4n140I/7H4aM1zr51qrgrmC1dzc7P0M+sn2bcQVLNePnz59+v7z/TzTd6//3nvv6c0334zl\nHQRDPD/00+unMcObfne7LhcehX5XsNDnFyPpGfST7f/iF7+wkuxLL72USD8Kffr086dAr2C5dp7p\n+99fvXq1lWTvueeeRPpxoh92P40ZrvVzrVXBXMEColjb85tcAADgGz4DC3BPMBusOXPmeD+DfrL9\ngxuspPpR6NOnD9/PM333+nFusEI8P/TT66cxw5d+MBusGTNmeD+Dfjr9XFewfDl++vTp+8v380zf\nvf7LL7+siooKDR06NJF+nOiH3U9jhi/9YDZYs2fP9n4G/WT7US8RdP346dOn7z/fzzN99/qNjY0a\nP358LC9/D/H80E+vn8YMX/rBbLCAKFEvEQQAwDcHN1gA3BHMBmvy5Mnez6CfTj/Xd/l8OX769On7\ny/fzTN+tfnt7uzZt2qRx48Yl0o8b/bD7aczwpW9c/a5+dXW1ra+vz/owEJC7775bl156qRobG2Nb\njAAkwxizylpbnfVxRGGtQpZeeeUVjRkzRnV1dbriiiuyPhygz8m1VgVzBWvq1Knez6CfTj/XFSxf\njp8+ffr+8v0803er39jYKEmxvUQwtPNDP91+GjN86Qezwdq1a5f3M+gn2496kwvXj58+ffr+8/08\n03erH/cGK7TzQz/dfhozfOkHs8ECorj6clgAAIrR2NioAQMGaOTIkVkfCoBDBHMPVltbm8rKyhI8\nouRn0E+2v3DhQl1++eXatGlTtx/I6Prx06ffl/qh3oPl2nmm73f/oosu0rp167R27dpE+nGjH3Y/\njRmu9YO/B2vevHnez6CfbD/qJYKuHz99+vT95/t5pu9WP+63aA/t/NBPt5/GDF/6wWywVqxY4f0M\n+vTp06cfNt/PM313+tba2N8VN6TzQz/9fhozfOkHs8ECokRdwQIAwBfNzc3as2cPHzIMuMha6+Sj\nqqrKFmLlypUFPb8YSc+gn2z/Jz/5iZVkX3nllUT6UejTp58/SfXWgbUo6uHaWkW/7/SfeOIJK8k+\n9NBDifSTQD/sfhozXOvnWquCuYLV0NDg/Qz66fRzXcHy5fjp06fvL9/PM313+uvXr5cU31u0H95P\nAv2w+2nM8Kbf3a7LhUeh3xUs9PnFSHoG/WT7P/7xj60ku3nz5kT6UejTp58/BXoFy7XzTN/f/r/9\n27/Z8vJy29bWlkg/CfTD7qcxw7V+rrUqmCtYQJSO3wcAAPivoaFBEydOVGlpadaHAuAwwWywampq\nvJ9BP51+rpcI+nL89OnT95fv55m+O/2GhgZNmjQpsX4S6IfdT2OGL/1gNlhTpkzxfgb9ZPsHr2Dl\n2mC5fvz06dP3n+/nmb4b/d27d6upqSn2DVYo54d+Nv00ZnjT7+51gy48XHtdexoz6Cfb/9GPfmQl\n2ddeey2RfhT69OnnT9yDVRT6faP/17/+1UqyixcvTqSfFPph99OY4Vo/11oVzBUsIIqNuIIFAIAP\nDr7TWdxXsADEI5gN1qmnnur9DPrJ9g9usJLqR6FPnz58P8/03eg3NDSopKREEyZMSKSfFPph99OY\n4UvfRP2lMyvV1dW2vr4+68NAQG6//XbNnTtXzc3NGj58eNaHA6AHxphV1trqrI8jCmsVsnDxxRdr\n9erVXZ+FBSAbudaqYK5gnXbaad7PoJ9sP+olgq4fP3369P3n+3mm70Y/iXcQPLSfFPph99OY4Us/\nmA1We3u79zPo06dPn37YfD/P9LPv79mzR+vWrdM//MM/JNJPEv2w+2nM8KUfzAYrjQ/aS3oG/WT7\nUVewXD9++vTp+8/380w/+/7atWvV3t6uk08+OZF+kuiH3U9jhi997sFCn/GDH/xAV111lbZt26Yh\nQ4ZkfTgAesA9WED3fvKTn+iKK65QY2Ojxo0bl/XhAH1a8PdgzZ071/sZ9OnTp08/bL6fZ/rZ9597\n7jkdddRRGjt2bCL9JNEPu5/GDF/6ZbFUHPDMM894P4N+sv2olwi6fvz06dP3n+/nmX72/fLycn3o\nQx9SSUn83yMP4fzQz66fxgxf+sFcwQKiuPpyWAAA8mGt1fPPP68PfehDWR8KgJ5Ya518VFVV2UKs\nXr26oOcXI+kZ9JPtf+9737OS7I4dOxLpR6FPn37+JNVbB9aiqIdraxX9sPu//vWvrSR71113JdL3\n/fzQz7afxgzX+rnWqmCuYD311FPez6CfbN9GvETQ9eOnT5++/3w/z/Sz7d93332SpDPOOCORvu/n\nh362/TRmeNPvbtflwqPQ7woW+vxiJD2DfrL97373u1aSffPNNxPpR6FPn37+FOgVLNfOM32/+oMG\nDbKDBw+2Bw4cSKTv+/mhn20/jRmu9XOtVcFcwQKi2IgrWAAAuKylpUVTpkxhHQMcF8wG6+qrr/Z+\nBv1k+1EbLNePnz59+v7z/TzTz66/Y8cO7d27V1OmTElshs/nh372/TRm+NIPZoM1adIk72fQp0+f\nPv2w+X6e6WfX/+Mf/yhJOvvssxOb4fP5oZ99P40Z3vS7e92gCw/XXteexgz6yfZvu+02K8m+8847\nifSj0KdPP3/iHqyi0A+3f+mll9rS0lLb1taW2Ayfzw/97PtpzHCtn2utCuYKFhDFWj4HCwDgH2ut\nHnroIR199NEqLS3N+nAARAhmg3XWWWd5P4N+Ov1c92D5cvz06dP3l+/nmX42/WeffVavv/66qqur\nE+kf5Ov5oe9GP40ZvvSNq9/Vr66utvX19Xk/v62tTWVlZQkeUfIz6Cfb/4//+A/97//9v7Vz504d\nddRRsfej0KdPP/++MWaVtTbZv03GwLW1in6Y/Xnz5um//uu/tGXLFg0bNiz2/kG+nh/6bvTTmOFa\nP9daFcwVrNNPP937GfTp06dPP2y+n2f66ff379+vX/ziFzr//PP1T//0T7H3D+Xj+aHvTj+NGb70\nY9lgGWPOM8asM8Y0GmO+1s2vDzDG/LLz11caY8bEMRcoxMGrtXx+CNA3sVbBR4sXL9bWrVt1xRVX\nZH0oAPLU6w2WMaZU0g8kzZB0kqTZxpiTDnva/5L0trV2vKT/lPR/ezv3cBUVFXEnU59BP9l+1Mth\nXT9++vTpF6+vrFX0w+q3trZq/vz5Oumkk3T++ed7d/z0+1Y/jRm+9Ht9D5YxZoqkWmvtJzp//nVJ\nstb+n0Oe81Dnc54yxpRJel3SENvD8EJf1w5EufXWW3XttdeqpaUl87/sAehZ3PdgsVbBNwcOHNDc\nuXNVV1enhx9+WNOnT8/6kAAcJtdaFcddYiMlbT7k51sknZbrOdbaNmPMu5IGSdqRK7plyxZde+21\neR/E73//e51//vl5P78YSc+gn2z/L3/5i6TcLxG87LLLtHDhwqL7UejTp59cPw+JrVXz5s2LHH5w\nj7Z06VLNmDEjr+fm4/DnPvTQQ/rEJz7Rq25Pz3v44Yd17rnnFtzM97nLli3T9OnTY+8efN4jjzyi\nc845J7bm4c9dvnx5jx8EXMix1tfX669//au+9rWvdW2ufP99Sj/sfhozfOkn+1YiBTLG1EiqOfjz\n73znO5Kkfv36yRijffv2SZJKS0vVr18/tba2Hvz3ZK3VSy+9pAMHDkiSBgwYoPb2drW1teXdGDBg\ngPbt25ezIUmNjY05GyUlJerfv//fNMrLy7V//361t7dLkvr37y9rrfbv3y9JKisrU2lpqfbu3dv1\n39C/f/+unxfaOPQ4Dm/s2bNHL774Yl6Ng/9tBxsHz8+hx1Ho+cnnHPf0dbLWqqGhoVeN8vJyzZ49\nWw888IBmzpypLVu2SOr4S8/DDz/c9Ra43/72t9Xa2qobbrhBknTJJZdo9uzZuvDCCyVJ48eP1z33\n3KPzzjtPO3Z0/N3rscce00033aRly5ZJkm677TY1Nzfr1ltvlSRt27ZNGzZs0OzZsyVJkydP1sKF\nCzV16lTt2rVLkvT0009r3rx5WrFihSRpwYIFamho0Pe//31JUk1NjaZMmaLLL79cknTqqafqhz/8\noU477TStWbNGDQ0NWrlypebOnatnnnlGknTnnXfqqaeeUl1dnSTp6quv1qRJk3TllVdK6nhL0ltv\nvbXrxs6Kigo9/vjjuuyyy7RmzRpJ0qJFi7R8+fKu8zNv3jyNGDFC11xzjSRp+vTp+uY3v6lp06ZJ\nkgYPHqw//OEPmjVrlhobGyVJ9913nxYtWqTFixdLkq6//nqVl5frG9/4hiRp69at2r59e9dfPkeN\nGqX777//775OCxYs0JIlSwr+Oq1YsUJr1qyJ/DrNmTNHM2bMKPjr9Pjjj3edn56+Tu3t7SotLS34\n67R582a1tbVFfp2WLl2qu+++u+Cv05IlS7RmzZrIr9MFF1ygK6+8suCv05/+9Keu85PP7yeXHb5W\n3XbbbZI6/hwtKSnp+rPn4J/FB/8MPGj9+vV/s0a0tbX9zZ9fJSUlXX8Wl5WVqX///tq9e/fB2Tri\niCPU2tra1TjyyCO1f/9+7d+/XwcOHNCmTZtkjOmae3ijpKRERx55pHbv3t3VqKio0L59+7rWhCOO\nOEKSuhr9+vVT//79tXPnTq1fv76rsWvXrq515qijjtKePXu6/luOOOIIWWu7Gv3791f//v3V0tIi\nqePP5oqKCr333nt/s/HYtGlTV6OiokLt7e1djfLycpWVlXU1ysrKVFFRoZ07d3atVQMHDtSuXbu6\n/luOOuoo7d+/X62trWpvb9fWrVtVWlra1ejXr58qKir0zjvvdJ3jgQMHqqWlpes4jj76aO3bt6/r\nOI488kiVlJR0Nfr376+Kigpt375dGzduVElJiY455hi9++67XWvmMccco9bW1q5GZWWljDF67733\nJHWsZUceeaTefvvtrv/2O++8U/fdd1/X7539+/dr/vz5Rf0ZmM9a1dDQoFNOOaWoPwPzWat+9atf\nac2aNUX9GZjPWtXa2qrvfe97Rf0ZmM9a1dDQoLFjxxb1Z2A+X6f77ruv678libVq165duuuuu/L6\nOwVrVS/Xqu4+fbiQh6Qpkh465Odfl/T1w57zkKQpnT8uU8d3A01P3UI/SZlPp6ZPnz79cPqS6m0v\n1ydr+95aRZ8+ffpZ9dOY4Vo/11oVx6JVJmmjpLGS+kt6XtIHDnvOlyXd3vnjWZIWR3UL/Q9cv359\nQc8vRtIz6NOnT59+hwQ2WH1iraJPnz79rPppzHCtn2ut6vW7CFpr2yRd1fmdv4bOBWmtMeYGY8wn\nO592h6RBxphGSddI+ru3x+2tpUuXxp1MfQZ9+vTp009GX1mr6NOnTz+rfhozvOl3t+ty4eHayy7S\nmEGfPn369Dso5itYST1cW6vo06dPP6t+GjNc6+daq2L5oGEAAAAAgFRaW1ub9TF0q66urrampib6\niZ0GDhyoyZMnJ3hEyc+gT58+ffod5s+f31xbW1uX2AHFxLW1ij59+vSz6qcxw7V+rrUqmCtYI0aM\n8H4Gffr06dMPm+/nmT59+vSznOFNv7vXDbrwcO117WnMoE+fPn36HcQ9WEWhT58+/az6acxwrZ9r\nrQrmChYAAAAAZC2YDdb06dO9n0GfPn369MPm+3mmT58+/Sxn+NI3HVe33FNdXW3r6+vzfn5LS4sq\nKysTPKLkZ9CnT58+/Q7GmFXW2urEDigmrq1V9OnTp59VP40ZrvVzrVXBXMGaNm2a9zPo06dPn37Y\nfD/P9OnTp5/lDF/6wWywAAAAACBrwWywBg8e7P0M+vTp06cfNt/PM3369OlnOcOXfjD3YAEAwhHq\nPVgAgHAEfw/WrFmzvJ9Bnz59+vTD5vt5pk+fPv0sZ/jSD2aD1djY6P0M+vTp06cfNt/PM3369Oln\nOcOXfjAbLAAAAADIWjD3YG3evFmjR49O8IiSn0GfPn369DuEeg+Wa+eZPn369H2a4Vo/+HuwFi1a\n5P0M+vTp06cfNt/PM3369OlnOcOXfjAbrMWLF3s/gz59+vTph83380yfPn36Wc7wpR/MBgsAAAAA\nslZaW1ub9TF0q66urrampibv5w8fPlwTJ05M8IiSn0GfPn369DvMnz+/uba2ti6xA4qJa2sVffr0\n6WfVT2OGa/1ca1UwV7DKy8u9n0GfPn369MPm+3mmT58+/SxneNO31jr5qKqqsoUo9PnFSHoGffr0\n6dPvIKneOrAWRT1cW6vo06dPP6t+GjNc6+daq4K5ggUAAAAAWQtmg3XBBRd4P4M+ffr06YfN9/NM\nnz59+lnO8KUfzAcNb9++XUOGDEnwiJKfQZ8+ffr0O4T6QcOunWf69OnT92mGa/3gP2h4xowZ3s+g\nT58+ffph8/0806dPn36WM3zpB7PBAgAAAICsBbPBGjVqlPcz6NOnT59+2Hw/z/Tp06ef5Qxf+sHc\ngwUACEeo92ABAMIR/D1YM2fO9H4Gffr06dMPm+/nmT59+vSznOFLP5gN1pYtW7yfQZ8+ffr0w+b7\neaZPnz79LGf40g9mgwUAAAAAWQvmHize258+ffr0w+mHeg+Wa+eZPn369H2a4Vo/+HuwFixY4P0M\n+vTp06cfNt/PM3369OlnOcOXfjAbrCVLlng/gz59+vTph83380yfPn36Wc7wpR/MBgsAAAAAslZa\nW1ub9TF0q66urrampibv548ZM0bjxo1L8IiSn0GfPn369DvMnz+/uba2ti6xA4qJa2sVffr06WfV\nT2OGa/1ca1UwV7BaW1u9n0GfPn369MPm+3mmT58+/SxneNO31jr5qKqqsoUo9PnFSHoGffr06dPv\nIKneOrAWRT1cW6vo06dPP6t+GjNc6+daq4K5ggUAAAAAWQtmg3XJJZd4P4M+ffr06YfN9/NMnz59\n+lnO8KUfzAcNb968WaNHj07wiJKfQZ8+ffr0O4T6QcOunWf69OnT92mGa/3gP2j4wgsv9H4Gffr0\n6dMPm+/nmT59+vSznOFLP5gNFgAAAABkLZgN1vjx472fQZ8+ffr0w+b7eaZPnz79LGf40g/mHiwA\nQDhCvQcLABCO4O/BOu+887yfQZ8+ffr0w+b7eaZPnz79LGf40g9mg7Vjxw7vZ9CnT58+/bD5fp7p\n06dPP8sZvvSD2WABAAAAQNaCuQerpaVFlZWVCR5R8jPo06dPn36HUO/Bcu0806dPn75PM1zrB38P\n1k033eT9DPr06dOnHzbfzzN9+vTpZznDl34wG6xly5Z5P4M+ffr06YfN9/NMnz59+lnO8KUfzAYL\nAAAAADJnrXXyUVVVZQvx+OOPF/T8YiQ9gz59+vTpd5BUbx1Yi6Ierq1V9OnTp59VP40ZrvVzrVXB\nXMFqbm72fgZ9+vTp0w+b7+eZPn369LOc4U2/u12XC49CvytY6POLkfQM+vTp06ffQYFewXLtPNOn\nT5++TzNc6+daq4K5ggUAAAAAWQtmgzVnzhzvZ9CnT58+/bD5fp7p06dPP8sZvvSD2WDNmDHD+xn0\n6dOnTz9svp9n+vTp089yhjf97l436MLDtde1pzGDPn369Ol3EPdgFYU+ffr0s+qnMcO1fq61Kpgr\nWAAAAACQtWA2WJMnT/Z+Bn369OnTD5vv55k+ffr0s5zhS990XN1yT3V1ta2vr8/6MAAAGTDGrLLW\nVmd9HFFYqwCg78q1VgVzBWvq1Knez6BPnz59+mHz/TzTp0+ffpYzfOkHs8HatWuX9zPo06dPn37Y\nfD/P9OnTp5/lDF/6wWywAAAAACBrwdyD1dbWprKysgSPKPkZ9OnTp0+/Q6j3YLl2nunTp0/fpxmu\n9YO/B2vevHnez6BPKhWGWwAACYZJREFUnz59+mHz/TzTp0+ffpYzfOkHs8FasWKF9zPo06dPn37Y\nfD/P9OnTp5/lDF/6wWywAAAAACBz1tqiH5KOlbRM0obO/31fjue1S3qu8/FgPu2qqipbiJUrVxb0\n/GIkPYM+ffr06XeQVG97sT5Z2zfXKvr06dPPqp/GDNf6udaq3l7B+pqkR6y1EyQ90vnz7uyx1p7c\n+fhkL2d2q6GhIYlsqjPo06dPn34i+sxaRZ8+ffpZ9dOY4U2/u11Xvg9J6ySN6PzxCEnrcjyvpdB2\nod8VLPT5xUh6Bn369OnT76B4r2D1mbWKPn369LPqpzHDtX6utaq3V7CGWWubO3/8uqRhOZ5Xboyp\nN8Y8bYyZ2cuZAAAUgrUKAJCayDd6N8b8UdLwbn7pm4f+xFprjTG5PlTrBGvta8aYEyUtN8a8YK19\nuZtZNZJqOn/aYoxZF3V8hxhsjNlRwPOLkfQM+vTp06ff4YRC4qxV9OnTp595P40ZrvW7Xat69UHD\nnYvKNGttszFmhKTHrLUTI/6dhZJ+a639ddGDu+/W24Q/lDLpGfTp06dPP5HZfWatok+fPv2s+mnM\n8KXf25cIPijp0s4fXyrpgcOfYIx5nzFmQOePB0s6U9KLvZwLAEC+WKsAAKnp7QbrZknTjTEbJP1j\n589ljKk2xvyk8zmTJNUbY56X9Kikm621LFoAgLSwVgEAUhN5D1ZPrLVvSjqnm39eL+mLnT/+s6QP\n9mZOnuoCmEGfPn369GPWx9Yq+vTp08+qn8YML/q9ugcLAAAAAPD/9PYlggAAAACATmywAAAAACAm\nbLAAAAAAICZssAAAAAAgJmywAAAAACAmbLAAAAAAICZssAAAAAAgJmywAAAAACAmbLAAAAAAICZs\nsAAAAAAgJmywAAAAACAmbLAAAAAAICZssAAAAAAgJmywAAAAACAmbLAAAAAAICZssAAAAAAgJmyw\nAAAAACAmbLAAAAAAICZssAAAAAAgJmywAAAAACAmbLAAAAAAICZssAAAAAAgJmywAAAAACAmbLAA\nAAAAICZssAAAAAAgJmywAAAAACAmbLAAAAAAICZssAAAAAAgJmywAAAAACAmbLAAAAAAICZssAAA\nAAAgJmywAAAAACAmbLAAAAAAICZssAAAAAAgJmywAAAAACAmbLAAAAAAICZssAAAAAAgJmywAAAA\nACAmbLAAAAAAICZssAAAAAAgJmywAAAAACAmbLAAAAAAICZssAAAAAAgJmywAAAAACAmbLAAAAAA\nICZssAAAAAAgJmywAAAAACAmbLAAAAAAICZssAAAAAAgJmywAAAAACAmbLAAAAAAICZssAAAAAAg\nJmywAAAAACAmbLAAAAAAICZssAAAAAAgJmywAAAAACAmbLAAAAAAICZssAAAAAAgJmywAAAAACAm\nbLAAAAAAICZssAAAAAAgJmywAAAAACAmbLAAAAAAICZssAAAAAAgJr3aYBljjjXGLDPGbOj83/fl\neF67Mea5zseDvZkJAEAhWKsAAGky1tri/2VjbpH0lrX2ZmPM1yS9z1p7XTfPa7HWVvbiOAEAKApr\nFQAgTb3dYK2TNM1a22yMGSHpMWvtxG6ex6IFAMgEaxUAIE29vQdrmLW2ufPHr0saluN55caYemPM\n08aYmb2cCQBAIVirAACpKYt6gjHmj5KGd/NL3zz0J9Zaa4zJdTnsBGvta8aYEyUtN8a8YK19uZtZ\nNZJqOn9aFXVsQC5VVfzfB/DZqlWrdlhrh+T7fNYq+KikJNn3Gvvwhz+caB/o63KtVam8RPCwf2eh\npN9aa38d8bziDwx9Xm/+fw0ge8aYVdba6pharFVw0tFHH51o/9133020D/R1udaq3n7r5EFJl3b+\n+FJJD3Qz+H3GmAGdPx4s6UxJL/ZyLgAA+WKtAgCkprcbrJslTTfGbJD0j50/lzGm2hjzk87nTJJU\nb4x5XtKjkm621rJoAQDSwloFAEhNr14imCRedoHecPX/1wDyE+dLBJPEWoXe4CWCgN+SeokgAAAA\nAKATGywAAAAAiAkbLAAAAACISSwbLGPMecaYdcaYRmPM17r59QHGmF92/vpKY8yYOOYCAJAv1ioA\nQBp6vcEyxpRK+oGkGZJOkjTbGHPSYU/7X5LettaOl/Sfkv5vb+cCAJAv1ioAQFriuIL1EUmN1tqN\n1tp9ku6R9KnDnvMpSXd1/vjXks4xxpgYZgMAkA/WKgBAKuLYYI2UtPmQn2/p/GfdPsda2ybpXUmD\nYpgNAEA+WKsAAKkoy/oADmWMqZFUk/VxAACQC2sVAKAncVzBek3S6EN+Pqrzn3X7HGNMmaSBkt48\nPGStrbPWVvvw4ZIAAK+wVgEAUhHHBusZSROMMWONMf0lzZL04GHPeVDSpZ0/vljScmutjWE2AAD5\nYK0CAKSi1y8RtNa2GWOukvSQpFJJP7XWrjXG3CCp3lr7oKQ7JP2PMaZR0lvqWNgAAEgFaxUAIC3G\n1W/OGWPcPDB4wdX/XwPIjzFmlQ8vwWOtQm8cffTRifbffffdRPtAX5drrYrlg4YBAAAAAGywAAAA\nACA2bLAAAAAAICaxbLCMMecZY9YZYxqNMV/r5tcvM8ZsN8Y81/n4YhxzAQDIF2sVACANvX4XQWNM\nqaQfSJouaYukZ4wxD1prXzzsqb+01l7V23kAABSKtQoAkJY4rmB9RFKjtXajtXafpHskfSqGLgAA\ncWGtAgCkIo4N1khJmw/5+ZbOf3a4fzHGrDbG/NoYMzqGuQAA5Iu1CgCQil6/RDBPSyQtstbuNcb8\nq6S7JJ19+JOMMTWSajp/2iJpXYLHNFjSjgT7acygn4MxJtF+J/r06SdnYoLtXPriWkU/w/7OnTsT\n7RtjvD4/9IPvpzEjk7Uqjg3Wa5IO/S7fqM5/1sVa++YhP/2JpFu6C1lr6yTVxXBMkYwx9Ul/iGXS\nM+jTp08/5H7MSdYq+vTp03eon8aMrNaqOF4i+IykCcaYscaY/pJmSXrwsOEjDvnpJyU1xDAXAIB8\nsVYBAFLR6ytY1to2Y8xVkh6SVCrpp9batcaYGyTVW2sflPT/GWM+KalN0luSLuvtXAAA8sVaBQBI\nSyz3YFlrfy/p94f9s+sP+fHXJX09jlkxSuPlHUnPoE+fPn36eWKtok+fPn2n+mnMyKRvrLUJzwUA\nAACAviGOe7AAAAAAAGKDBQAAAACxYYMFAAAAADFhgwUAAAAAMWGDBQAAAAAxYYMFAAAAADFhgwUA\nAAAAMfn/Adc2EbPajedjAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 864x576 with 4 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "KYzqZrm3uTG9",
        "colab_type": "code",
        "outputId": "6191ce25-5f31-4550-bdbd-edeeead8cac7",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 390
        }
      },
      "source": [
        "# Minification aliasing\n",
        "import numpy as np\n",
        "from scipy import signal\n",
        "import matplotlib.pyplot as plt\n",
        "from IPython.display import display, Markdown\n",
        "\n",
        "plt.rcParams['figure.figsize'] = [18, 6]\n",
        "\n",
        "NUM_ROWS = 1\n",
        "NUM_COLS = 3\n",
        "LEN = 1024\n",
        "\n",
        "plt.figure()\n",
        "\n",
        "# ------\n",
        "# ct_x = np.linspace(0.0, 1.0, num=LEN, endpoint=False)\n",
        "ct_x = np.arange(0, 1024)\n",
        "ct_y = signal.gausspulse((ct_x / 1024) - 0.5, fc=256)\n",
        "band_start = -0.02\n",
        "band_stop = 0.02\n",
        "\n",
        "ax = plt.subplot(NUM_ROWS, NUM_COLS, 1)\n",
        "ax.set_xlim(0, 1023)\n",
        "ax.set_xticks(np.arange(0, 1024, 256))\n",
        "ax.set_ylim(-2, 2)\n",
        "ax.set_yticks([-2, -1, 0, 1, 2])\n",
        "ax.grid(color='k', linestyle='--')\n",
        "ax.set_title('Time domain')\n",
        "# \n",
        "ax.plot(ct_y, 'k')\n",
        "\n",
        "# ------\n",
        "ax = plt.subplot(NUM_ROWS, NUM_COLS, 2)\n",
        "ax.set_xlim(500, 524)\n",
        "ax.set_xticks([500, 506, 512, 518, 524])\n",
        "ax.set_ylim(-2, 2)\n",
        "ax.set_yticks([-2, -1, 0, 1, 2])\n",
        "ax.grid(color='k', linestyle='--')\n",
        "ax.set_title('Zoomed-in time domain')\n",
        "# \n",
        "ax.plot(ct_y, 'k')\n",
        "\n",
        "# ------\n",
        "ct_fft = np.fft.fftshift(np.fft.fft(ct_y))\n",
        "fft_x = np.linspace(-0.5, 0.5, LEN)\n",
        "\n",
        "ax = plt.subplot(NUM_ROWS, NUM_COLS, 3)\n",
        "ax.set_yticks([0, 0.001, 0.002, 0.003, 0.004])\n",
        "ax.set_xticks([0, 0.3, 0.5])\n",
        "ax.xaxis.grid(color='k', linestyle='-.')\n",
        "ax.yaxis.grid(color='k', linestyle='--')\n",
        "ax.set_title('Frequency domain')\n",
        "ax.text(0.47, 0.00022, r'$\\frac{f_o}{2}$', fontsize=24)\n",
        "ax.plot(0.5, -0.00015, 'k^', markersize=10)\n",
        "ax.text(0.27, 0.00022, r'$\\frac{f_m}{2}$', fontsize=24)\n",
        "ax.plot(0.3, -0.00015, 'k^', markersize=10)\n",
        "# \n",
        "ax.plot(fft_x, np.abs(ct_fft) / LEN, 'k')\n",
        "\n",
        "# ------\n",
        "plt.show()\n"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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KpKefflp3F2zNqfGz+ri0FBD69++vo1nbmTp1qu4u2ALjpIZxIjPmYTU8b9QwTmoYJyIi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\n",
            "text/plain": [
              "<Figure size 1296x432 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    }
  ]
}