PRI_Actividad_didáctica_3_Contenido_espectral.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "PRI - Actividad didáctica 3 - Contenido espectral",
      "provenance": [],
      "collapsed_sections": [],
      "authorship_tag": "ABX9TyPW6oyiQoMlLAeZ0tnXuvJT",
      "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/github/mgarbanzo/PercepcionRemota/blob/main/PRI_Actividad_did%C3%A1ctica_3_Contenido_espectral.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "0jXCtAT20FM4"
      },
      "source": [
        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)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "6LubUbvk0YNC"
      },
      "source": [
        "Curso: Percepción Remota I\n",
        "\n",
        "Profesor: Marcial Garbanzo Salas\n",
        "\n",
        "Semestre: II-2021\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "mmj0pZqbzZqf"
      },
      "source": [
        "# Práctica de contenido espectral\n",
        "\n",
        "Enunciado: Obtenga gráficas de las componentes reales e imaginarias de Fourier de la funcion cos(x) y de la misma función pero multiplicada por una ventana.\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "oBrdsbpG01rJ"
      },
      "source": [
        "import numpy as np\n",
        "import pylab as plt\n",
        "from scipy import signal"
      ],
      "execution_count": 1,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GUaU-gr_1aap"
      },
      "source": [
        "T = 10 #s\n",
        "w = 2 * np.pi / T"
      ],
      "execution_count": 2,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Mo9U-yQH1Ip0"
      },
      "source": [
        "t = np.arange(0,107,0.11) # Mostrar el error con 0.1 s\n",
        "C = np.cos(w*t)\n",
        "W = np.hamming(len(t)) # Esta es la ventana que vamos a utilizar\n",
        "CW = C*W"
      ],
      "execution_count": 3,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 283
        },
        "id": "uUNaMphx1PhU",
        "outputId": "36d3414f-1430-473a-9529-4bfd8c5830fc"
      },
      "source": [
        "plt.figure()\n",
        "plt.plot(t, C, '-b')\n",
        "plt.plot(t, CW, '-r')"
      ],
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f79f26b7d10>]"
            ]
          },
          "metadata": {},
          "execution_count": 4
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "aS9GAyhpSi2m"
      },
      "source": [
        "# Calculando los espectros de las funciones básicas"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "jUEhOlXrSmVD"
      },
      "source": [
        "FTC = np.fft.fft(C)\n",
        "FTCW = np.fft.fft(CW)\n",
        "XFT = np.fft.fftfreq(len(FTC),d=0.11)"
      ],
      "execution_count": 5,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "qQONU5PEYpSZ",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "775bc98a-82c6-4fd0-be87-d37a50009032"
      },
      "source": [
        "FTCW"
      ],
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([-1.00042676e+00-6.38378239e-15j, -1.00716242e+00+1.18141407e-01j,\n",
              "       -1.02756737e+00+2.39669895e-01j, -1.06204638e+00+3.67616952e-01j,\n",
              "       -1.11032183e+00+5.03474249e-01j, -1.16822121e+00+6.42827701e-01j,\n",
              "       -1.21523067e+00+7.58299753e-01j, -1.15711881e+00+7.21003624e-01j,\n",
              "       -4.59319173e-01-1.99825172e-01j,  6.80282110e+00-1.00732146e+01j,\n",
              "       -1.04168397e+02+1.40492542e+02j,  1.45615569e+02-1.96817811e+02j,\n",
              "       -3.44413803e+01+4.53956588e+01j, -1.10882336e+00+8.27285175e-01j,\n",
              "        5.55705411e-01-1.35127194e+00j,  7.43816517e-01-1.56693489e+00j,\n",
              "        7.10015006e-01-1.49228570e+00j,  6.38853580e-01-1.37167443e+00j,\n",
              "        5.68343258e-01-1.25472612e+00j,  5.06461484e-01-1.15143880e+00j,\n",
              "        4.53884522e-01-1.06230226e+00j,  4.09520703e-01-9.85576763e-01j,\n",
              "        3.72006564e-01-9.19236757e-01j,  3.40107706e-01-8.61477549e-01j,\n",
              "        3.12800233e-01-8.10807954e-01j,  2.89259865e-01-7.66026133e-01j,\n",
              "        2.68828883e-01-7.26169376e-01j,  2.50982387e-01-6.90465050e-01j,\n",
              "        2.35299679e-01-6.58289607e-01j,  2.21441476e-01-6.29136195e-01j,\n",
              "        2.09132236e-01-6.02589598e-01j,  1.98146562e-01-5.78306980e-01j,\n",
              "        1.88298748e-01-5.56003075e-01j,  1.79434730e-01-5.35438759e-01j,\n",
              "        1.71425844e-01-5.16412170e-01j,  1.64163961e-01-4.98751770e-01j,\n",
              "        1.57557667e-01-4.82310873e-01j,  1.51529246e-01-4.66963310e-01j,\n",
              "        1.46012277e-01-4.52599959e-01j,  1.40949707e-01-4.39125952e-01j,\n",
              "        1.36292305e-01-4.26458414e-01j,  1.31997396e-01-4.14524616e-01j,\n",
              "        1.28027834e-01-4.03260459e-01j,  1.24351163e-01-3.92609223e-01j,\n",
              "        1.20938912e-01-3.82520524e-01j,  1.17766023e-01-3.72949450e-01j,\n",
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              "        5.41625568e-02+4.92277486e-02j,  5.41781616e-02+4.95476847e-02j,\n",
              "        5.41939654e-02+4.98696177e-02j,  5.42099713e-02+5.01935734e-02j,\n",
              "        5.42261826e-02+5.05195778e-02j,  5.42426025e-02+5.08476573e-02j,\n",
              "        5.42592344e-02+5.11778389e-02j,  5.42760816e-02+5.15101497e-02j,\n",
              "        5.42931478e-02+5.18446176e-02j,  5.43104365e-02+5.21812708e-02j,\n",
              "        5.43279513e-02+5.25201379e-02j,  5.43456960e-02+5.28612481e-02j,\n",
              "        5.43636742e-02+5.32046311e-02j,  5.43818900e-02+5.35503169e-02j,\n",
              "        5.44003473e-02+5.38983362e-02j,  5.44190501e-02+5.42487201e-02j,\n",
              "        5.44380026e-02+5.46015003e-02j,  5.44572089e-02+5.49567090e-02j,\n",
              "        5.44766735e-02+5.53143790e-02j,  5.44964006e-02+5.56745436e-02j,\n",
              "        5.45163949e-02+5.60372366e-02j,  5.45366609e-02+5.64024927e-02j,\n",
              "        5.45572033e-02+5.67703467e-02j,  5.45780270e-02+5.71408346e-02j,\n",
              "        5.45991368e-02+5.75139925e-02j,  5.46205377e-02+5.78898575e-02j,\n",
              "        5.46422350e-02+5.82684671e-02j,  5.46642339e-02+5.86498597e-02j,\n",
              "        5.46865397e-02+5.90340743e-02j,  5.47091579e-02+5.94211505e-02j,\n",
              "        5.47320943e-02+5.98111287e-02j,  5.47553544e-02+6.02040500e-02j,\n",
              "        5.47789442e-02+6.05999564e-02j,  5.48028697e-02+6.09988905e-02j,\n",
              "        5.48271371e-02+6.14008957e-02j,  5.48517527e-02+6.18060163e-02j,\n",
              "        5.48767229e-02+6.22142973e-02j,  5.49020543e-02+6.26257847e-02j,\n",
              "        5.49277537e-02+6.30405253e-02j,  5.49538281e-02+6.34585666e-02j,\n",
              "        5.49802844e-02+6.38799574e-02j,  5.50071299e-02+6.43047470e-02j,\n",
              "        5.50343722e-02+6.47329859e-02j,  5.50620187e-02+6.51647256e-02j,\n",
              "        5.50900773e-02+6.56000184e-02j,  5.51185560e-02+6.60389179e-02j,\n",
              "        5.51474629e-02+6.64814785e-02j,  5.51768065e-02+6.69277557e-02j,\n",
              "        5.52065953e-02+6.73778062e-02j,  5.52368382e-02+6.78316879e-02j,\n",
              "        5.52675441e-02+6.82894597e-02j,  5.52987224e-02+6.87511816e-02j,\n",
              "        5.53303825e-02+6.92169152e-02j,  5.53625341e-02+6.96867229e-02j,\n",
              "        5.53951873e-02+7.01606687e-02j,  5.54283523e-02+7.06388177e-02j,\n",
              "        5.54620396e-02+7.11212365e-02j,  5.54962599e-02+7.16079931e-02j,\n",
              "        5.55310243e-02+7.20991567e-02j,  5.55663442e-02+7.25947983e-02j,\n",
              "        5.56022313e-02+7.30949900e-02j,  5.56386974e-02+7.35998057e-02j,\n",
              "        5.56757549e-02+7.41093209e-02j,  5.57134164e-02+7.46236126e-02j,\n",
              "        5.57516947e-02+7.51427594e-02j,  5.57906033e-02+7.56668419e-02j,\n",
              "        5.58301558e-02+7.61959421e-02j,  5.58703662e-02+7.67301441e-02j,\n",
              "        5.59112490e-02+7.72695336e-02j,  5.59528189e-02+7.78141985e-02j,\n",
              "        5.59950912e-02+7.83642283e-02j,  5.60380816e-02+7.89197150e-02j,\n",
              "        5.60818062e-02+7.94807521e-02j,  5.61262815e-02+8.00474358e-02j,\n",
              "        5.61715246e-02+8.06198640e-02j,  5.62175530e-02+8.11981372e-02j,\n",
              "        5.62643847e-02+8.17823582e-02j,  5.63120384e-02+8.23726319e-02j,\n",
              "        5.63605330e-02+8.29690661e-02j,  5.64098882e-02+8.35717707e-02j,\n",
              "        5.64601243e-02+8.41808586e-02j,  5.65112621e-02+8.47964452e-02j,\n",
              "        5.65633231e-02+8.54186485e-02j,  5.66163293e-02+8.60475898e-02j,\n",
              "        5.66703036e-02+8.66833930e-02j,  5.67252694e-02+8.73261851e-02j,\n",
              "        5.67812509e-02+8.79760963e-02j,  5.68382731e-02+8.86332600e-02j,\n",
              "        5.68963616e-02+8.92978130e-02j,  5.69555429e-02+8.99698953e-02j,\n",
              "        5.70158444e-02+9.06496508e-02j,  5.70772942e-02+9.13372267e-02j,\n",
              "        5.71399216e-02+9.20327742e-02j,  5.72037564e-02+9.27364484e-02j,\n",
              "        5.72688297e-02+9.34484082e-02j,  5.73351736e-02+9.41688171e-02j,\n",
              "        5.74028209e-02+9.48978424e-02j,  5.74718060e-02+9.56356561e-02j,\n",
              "        5.75421640e-02+9.63824348e-02j,  5.76139313e-02+9.71383599e-02j,\n",
              "        5.76871457e-02+9.79036174e-02j,  5.77618460e-02+9.86783986e-02j,\n",
              "        5.78380725e-02+9.94629002e-02j,  5.79158668e-02+1.00257324e-01j,\n",
              "        5.79952719e-02+1.01061878e-01j,  5.80763325e-02+1.01876774e-01j,\n",
              "        5.81590945e-02+1.02702234e-01j,  5.82436058e-02+1.03538482e-01j,\n",
              "        5.83299158e-02+1.04385750e-01j,  5.84180755e-02+1.05244277e-01j,\n",
              "        5.85081382e-02+1.06114309e-01j,  5.86001586e-02+1.06996100e-01j,\n",
              "        5.86941937e-02+1.07889909e-01j,  5.87903026e-02+1.08796004e-01j,\n",
              "        5.88885464e-02+1.09714662e-01j,  5.89889887e-02+1.10646168e-01j,\n",
              "        5.90916954e-02+1.11590814e-01j,  5.91967348e-02+1.12548904e-01j,\n",
              "        5.93041779e-02+1.13520747e-01j,  5.94140984e-02+1.14506667e-01j,\n",
              "        5.95265729e-02+1.15506994e-01j,  5.96416809e-02+1.16522070e-01j,\n",
              "        5.97595052e-02+1.17552248e-01j,  5.98801317e-02+1.18597892e-01j,\n",
              "        6.00036499e-02+1.19659379e-01j,  6.01301527e-02+1.20737096e-01j,\n",
              "        6.02597369e-02+1.21831445e-01j,  6.03925033e-02+1.22942840e-01j,\n",
              "        6.05285568e-02+1.24071710e-01j,  6.06680068e-02+1.25218498e-01j,\n",
              "        6.08109671e-02+1.26383663e-01j,  6.09575565e-02+1.27567677e-01j,\n",
              "        6.11078987e-02+1.28771033e-01j,  6.12621229e-02+1.29994237e-01j,\n",
              "        6.14203638e-02+1.31237815e-01j,  6.15827622e-02+1.32502311e-01j,\n",
              "        6.17494649e-02+1.33788291e-01j,  6.19206255e-02+1.35096339e-01j,\n",
              "        6.20964042e-02+1.36427062e-01j,  6.22769689e-02+1.37781087e-01j,\n",
              "        6.24624949e-02+1.39159068e-01j,  6.26531657e-02+1.40561683e-01j,\n",
              "        6.28491736e-02+1.41989633e-01j,  6.30507196e-02+1.43443651e-01j,\n",
              "        6.32580146e-02+1.44924493e-01j,  6.34712797e-02+1.46432951e-01j,\n",
              "        6.36907465e-02+1.47969842e-01j,  6.39166581e-02+1.49536022e-01j,\n",
              "        6.41492698e-02+1.51132378e-01j,  6.43888495e-02+1.52759834e-01j,\n",
              "        6.46356787e-02+1.54419354e-01j,  6.48900536e-02+1.56111941e-01j,\n",
              "        6.51522854e-02+1.57838641e-01j,  6.54227016e-02+1.59600546e-01j,\n",
              "        6.57016472e-02+1.61398794e-01j,  6.59894855e-02+1.63234573e-01j,\n",
              "        6.62865993e-02+1.65109126e-01j,  6.65933927e-02+1.67023749e-01j,\n",
              "        6.69102917e-02+1.68979798e-01j,  6.72377463e-02+1.70978694e-01j,\n",
              "        6.75762319e-02+1.73021920e-01j,  6.79262510e-02+1.75111032e-01j,\n",
              "        6.82883353e-02+1.77247660e-01j,  6.86630476e-02+1.79433511e-01j,\n",
              "        6.90509839e-02+1.81670379e-01j,  6.94527760e-02+1.83960144e-01j,\n",
              "        6.98690942e-02+1.86304783e-01j,  7.03006497e-02+1.88706371e-01j,\n",
              "        7.07481983e-02+1.91167093e-01j,  7.12125432e-02+1.93689248e-01j,\n",
              "        7.16945391e-02+1.96275255e-01j,  7.21950960e-02+1.98927666e-01j,\n",
              "        7.27151833e-02+2.01649172e-01j,  7.32558354e-02+2.04442612e-01j,\n",
              "        7.38181559e-02+2.07310985e-01j,  7.44033241e-02+2.10257463e-01j,\n",
              "        7.50126011e-02+2.13285399e-01j,  7.56473367e-02+2.16398348e-01j,\n",
              "        7.63089768e-02+2.19600073e-01j,  7.69990722e-02+2.22894568e-01j,\n",
              "        7.77192879e-02+2.26286074e-01j,  7.84714129e-02+2.29779099e-01j,\n",
              "        7.92573721e-02+2.33378437e-01j,  8.00792384e-02+2.37089194e-01j,\n",
              "        8.09392473e-02+2.40916816e-01j,  8.18398120e-02+2.44867112e-01j,\n",
              "        8.27835408e-02+2.48946293e-01j,  8.37732569e-02+2.53160999e-01j,\n",
              "        8.48120195e-02+2.57518346e-01j,  8.59031486e-02+2.62025965e-01j,\n",
              "        8.70502521e-02+2.66692049e-01j,  8.82572561e-02+2.71525412e-01j,\n",
              "        8.95284404e-02+2.76535543e-01j,  9.08684766e-02+2.81732678e-01j,\n",
              "        9.22824734e-02+2.87127876e-01j,  9.37760258e-02+2.92733099e-01j,\n",
              "        9.53552733e-02+2.98561315e-01j,  9.70269646e-02+3.04626602e-01j,\n",
              "        9.87985322e-02+3.10944273e-01j,  1.00678178e-01+3.17531018e-01j,\n",
              "        1.02674974e-01+3.24405063e-01j,  1.04798970e-01+3.31586353e-01j,\n",
              "        1.07061333e-01+3.39096765e-01j,  1.09474494e-01+3.46960349e-01j,\n",
              "        1.12052329e-01+3.55203608e-01j,  1.14810364e-01+3.63855827e-01j,\n",
              "        1.17766023e-01+3.72949450e-01j,  1.20938912e-01+3.82520524e-01j,\n",
              "        1.24351163e-01+3.92609223e-01j,  1.28027834e-01+4.03260459e-01j,\n",
              "        1.31997396e-01+4.14524616e-01j,  1.36292305e-01+4.26458414e-01j,\n",
              "        1.40949707e-01+4.39125952e-01j,  1.46012277e-01+4.52599959e-01j,\n",
              "        1.51529246e-01+4.66963310e-01j,  1.57557667e-01+4.82310873e-01j,\n",
              "        1.64163961e-01+4.98751770e-01j,  1.71425844e-01+5.16412170e-01j,\n",
              "        1.79434730e-01+5.35438759e-01j,  1.88298748e-01+5.56003075e-01j,\n",
              "        1.98146562e-01+5.78306980e-01j,  2.09132236e-01+6.02589598e-01j,\n",
              "        2.21441476e-01+6.29136195e-01j,  2.35299679e-01+6.58289607e-01j,\n",
              "        2.50982387e-01+6.90465050e-01j,  2.68828883e-01+7.26169376e-01j,\n",
              "        2.89259865e-01+7.66026133e-01j,  3.12800233e-01+8.10807954e-01j,\n",
              "        3.40107706e-01+8.61477549e-01j,  3.72006564e-01+9.19236757e-01j,\n",
              "        4.09520703e-01+9.85576763e-01j,  4.53884522e-01+1.06230226e+00j,\n",
              "        5.06461484e-01+1.15143880e+00j,  5.68343258e-01+1.25472612e+00j,\n",
              "        6.38853580e-01+1.37167443e+00j,  7.10015006e-01+1.49228570e+00j,\n",
              "        7.43816517e-01+1.56693489e+00j,  5.55705411e-01+1.35127194e+00j,\n",
              "       -1.10882336e+00-8.27285175e-01j, -3.44413803e+01-4.53956588e+01j,\n",
              "        1.45615569e+02+1.96817811e+02j, -1.04168397e+02-1.40492542e+02j,\n",
              "        6.80282110e+00+1.00732146e+01j, -4.59319173e-01+1.99825172e-01j,\n",
              "       -1.15711881e+00-7.21003624e-01j, -1.21523067e+00-7.58299753e-01j,\n",
              "       -1.16822121e+00-6.42827701e-01j, -1.11032183e+00-5.03474249e-01j,\n",
              "       -1.06204638e+00-3.67616952e-01j, -1.02756737e+00-2.39669895e-01j,\n",
              "       -1.00716242e+00-1.18141407e-01j])"
            ]
          },
          "metadata": {},
          "execution_count": 6
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ajPxc5nqSdeV"
      },
      "source": [
        "# Visualizando espectros de funciones cos(x)\n",
        "\n",
        "Primero graficamos los valores."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 312
        },
        "id": "YrNLLl_9UMVM",
        "outputId": "93b65155-40ec-4dcb-ed4e-5d5c582e0004"
      },
      "source": [
        "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12,4))\n",
        "fig.suptitle('Gráficos del cos(x)')\n",
        "ax1.plot(XFT,np.abs(FTC))\n",
        "ax1.plot(XFT,np.abs(FTCW))\n",
        "ax2.plot(XFT,np.angle(FTC))\n",
        "ax2.plot(XFT,np.angle(FTCW))"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7ff16429dc10>]"
            ]
          },
          "metadata": {},
          "execution_count": 34
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x288 with 2 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 312
        },
        "id": "AoLH43mPjAUJ",
        "outputId": "80b257d5-69d1-4115-974c-c4c3b94ee044"
      },
      "source": [
        "fig, (ax1) = plt.subplots(1, 1, figsize=(12,4))\n",
        "fig.suptitle('Gráficos del cos(x)')\n",
        "ax1.plot(XFT,np.abs(FTC))\n",
        "ax1.plot(XFT,np.abs(FTCW))\n",
        "plt.xlim((-1,1))"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(-1.0, 1.0)"
            ]
          },
          "metadata": {},
          "execution_count": 35
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "uIVkjrQ6U0_s"
      },
      "source": [
        "# Contaminación y mapeo espectral\n",
        "\n",
        "Ahora vamos a utilizar múltiples funciones para comprender la contaminación y el mapeo espectral."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "gz4ms-ngj8jb"
      },
      "source": [
        "F = 10 #Hz\n",
        "dF = 0.01 #Hz"
      ],
      "execution_count": 7,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "uEM0Qec0jjkd"
      },
      "source": [
        "T1 = 1/2 #Hz\n",
        "w1 = 2 * np.pi / T1\n",
        "\n",
        "T2 = 1/0.5 #Hz\n",
        "w2 = 2 * np.pi / T2\n",
        "\n",
        "T3 = 1/-3 #Hz\n",
        "w3 = 2 * np.pi / T3\n",
        "\n",
        "T4 = 1/4 #Hz\n",
        "w4 = 2 * np.pi / T4\n",
        "\n",
        "T5 = 1/7 #Hz\n",
        "w5 = 2 * np.pi / T5"
      ],
      "execution_count": 8,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "QIvr3DF_ncs-",
        "outputId": "7c1df34b-5592-4e74-8de9-3110b78421c8"
      },
      "source": [
        "w1, w2, w3, w4, w5"
      ],
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(12.566370614359172,\n",
              " 3.141592653589793,\n",
              " -18.84955592153876,\n",
              " 25.132741228718345,\n",
              " 43.982297150257104)"
            ]
          },
          "metadata": {},
          "execution_count": 9
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "tw2YFk81jx7w"
      },
      "source": [
        "t = np.arange(0,1/dF,1/F) # Mostrar el error con 0.1 s\n",
        "C1 = np.cos(w1*t)\n",
        "C2 = np.cos(w2*t)\n",
        "C3 = np.cos(w3*t)\n",
        "C4 = np.cos(w4*t)\n",
        "C5 = np.cos(w5*t)"
      ],
      "execution_count": 10,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 283
        },
        "id": "SNHlB0EpU0_t",
        "outputId": "a4158edb-8e44-4ee8-b558-108839874c0f"
      },
      "source": [
        "plt.figure(figsize=(14,4))\n",
        "plt.plot(t, C1, '-k')\n",
        "plt.plot(t, C2, '-r')\n",
        "plt.plot(t, C3, '-b')\n",
        "plt.plot(t, C4, '-g')\n",
        "plt.plot(t, C5, '-m')"
      ],
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f79f20b3090>]"
            ]
          },
          "metadata": {},
          "execution_count": 11
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1008x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Xn2S76_Xl8L6"
      },
      "source": [
        "FTC1 = np.fft.fft(C1)\n",
        "FTC2 = np.fft.fft(C2)\n",
        "FTC3 = np.fft.fft(C3)\n",
        "FTC4 = np.fft.fft(C4)\n",
        "FTC5 = np.fft.fft(C5)\n",
        "XFT = np.fft.fftfreq(len(FTC1),d=1/F)"
      ],
      "execution_count": 12,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 283
        },
        "id": "pvWidhTIU6Tq",
        "outputId": "1cdea76b-9002-4e08-a648-9bba956c6769"
      },
      "source": [
        "plt.figure(figsize=(14,4))\n",
        "plt.plot(XFT, np.abs(FTC1), '-k')\n",
        "plt.plot(XFT, np.abs(FTC2), '-r')\n",
        "plt.plot(XFT, np.abs(FTC3), '*b')\n",
        "plt.plot(XFT, np.abs(FTC4), '-g')\n",
        "plt.plot(XFT, np.abs(FTC5), '-c')"
      ],
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f79f1041650>]"
            ]
          },
          "metadata": {},
          "execution_count": 13
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1008x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 283
        },
        "id": "Idl427ciNgZc",
        "outputId": "e706344b-7a4b-4524-ec37-f82b0e672420"
      },
      "source": [
        "plt.figure(figsize=(14,4))\n",
        "plt.plot(np.abs(FTC1), '-k')\n",
        "plt.plot(np.abs(FTC2), '-r')\n",
        "plt.plot(np.abs(FTC3), '*b')\n",
        "plt.plot(np.abs(FTC4), '-g')\n",
        "plt.plot(np.abs(FTC5), '-c')"
      ],
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f79f0fb6d90>]"
            ]
          },
          "metadata": {},
          "execution_count": 14
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1008x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "yeCXJac5NkHz"
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    }
  ]
}