{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Importar Dependencias y Datos\n", "\n", "Primero, importaremos algunas dependencias y funciones de las tutorias anteriores." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "from astropy.timeseries import LombScargle\n", "from numpy import random as rand\n", "#from scipy.optimize import curve_fit\n", "\n", "data = np.loadtxt('lc_clean.dat')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Nota* lc_clean.dat corresponde a los datos de flujo, arreglados un poco (en mi caso, normalizados y sin outlayers)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def showdata(x, *b):\n", " '''\n", " Funcion simple para plotear curvas de luz\n", " '''\n", " fig = plt.figure(figsize=(12, 10))\n", " ax = plt.gca()\n", " dib = ax.plot(x[0], x[1], alpha=0.9, label='data')\n", "\n", " ax.set_title('Lightcurve', fontsize=28)\n", " ax.set_xlabel('Time [Days]', fontsize=22)\n", " ax.set_ylabel('Flux [??]', fontsize=22)\n", "\n", " ax.legend(loc=4)\n", " \n", " if b:\n", " popt = b[0]\n", " dib_fit = ax.plot(x[0], reddsin(x[0], popt[0], popt[1], popt[2]), alpha=0.9, label='fit')\n", " \n", "def reddsin(x, a, b, c):\n", " '''\n", " Una funcion seno, para alimentar el curvefit\n", " '''\n", " return a * np.sin((2 * np.pi) / b * x) + c\n", "\n", "def phasing(x, y, p, *yerr): #phasefold\n", " '''\n", " Para hacer phasefolding.\n", " Como el nombre sugiere, simplemente 'pliega' los datos para una fase dada.\n", " El proposito es poner el periodo para asi poder visualizar bien los datos.\n", " '''\n", " phased_t = x % p\n", " order = np.argsort(phased_t)\n", " if yerr:\n", " plt.plot(phased_t[order], y[order], yerr[0][order], 'bo')\n", " else:\n", " plt.plot(phased_t[order], y[order], 'bo')\n", " return phased_t[order], y[order]\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Probamos showdata y obtenemos una visual de los datos. Ojo con las unidades deel flujo! Se pueden sacar del FITS." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "showdata(data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Periodograma\n", "En procesamiento de senales, el periodograma es una estimacion de la densidad espectral de una senal.\n", "Hay varios tipos de periodogramas, para objetivo del curso el periodograma de LombScargle es bastante buenardo.\n", "Primero probaremos con un set de control, es decir, datos sinteticos de nuestra creacion. Ademas verificaremos nuestras funciones.\n", "\n", "### Periodograma Datos Sinteticos\n", "\n", "Crearemos 100 puntos al azar en el eje x, que corresponderan a los tiempos de nuestras mediciones.\n", "Crearemos sus valores en y, correspondientes a una sinusoide, mas un error.\n", "El valor del periodo de la sinusoide, es llamado p1, sentios libres de jugar con ese valor!" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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9J5IK+BOUfqnXjS50FWP9+27sIn3rO5FUwJ+ghku9rqw0dyJ69tnm5/DonBjr33djF+lb34mkAv4EtV/qdWUF9u+H7dub59u3N8/nWf++G7tI3/pOJBXwp5iWAZdudRWOHIFnnmmeP/NM83yeenvfjV2kb30nklUHfI0YmSxGvb3vxi6Sgj4TyWpvgDJ6pik02aYCUGPbtmYkzSizpqGKSJp0A5QxNGJkulj1dh1VSelSbuPVBnyNGJkuRr1d4/CldKm38bkCvpmdZ2ZfMbP72p/nTnjdM2b2zfZxbJ55hqIRI9PFqLfrqEpKl3obnzfDvx641d13A7e2z8f5sbu/pn1cPec8g9CIkY2F7lzK6agq5cNySVfqbXzegL8PONL+fgR4x5zv1xmNGOleLkdVqR+WS7pSb+PzBvyXuPsjAO3PF0943QvMbM3MvmFmE3cKZnagfd3a6dOn51y0jdU8zr4PuRxVpX5YLulKvY1vGPDN7KtmdteYx74Z5rOrHSb0G8BHzezl417k7ofdfdndlxcXF2d4+3zUXCrI5agq9cNySVfqbXyucfhmdi/wZnd/xMwuBP7B3V+5wf98BrjF3W+e9rrY4/D7oLH/eVhaaso4owaD5khQJGUxx+EfA/a3v+8HvjRm5uea2dnt7xcAbwC+M+d8s6RSQR5SPywX2ap5A/6HgLeb2X3A29vnmNmymd3YvubVwJqZfQu4DfiQu1cZ8FUqyEPMw/KaS3rSv2ovrdAHlQriWF1tjpIefLAZDXHoUJolMpX0pAu6tEIiVCoIL6chlCrpSd8U8DuUeg9+jnIKoirpSd929L0AtVlZUYAPKacgumvX+JJeKiflSPmU4UvWUj+zcZhKetI3BXzJWk5BVCU96ZtKOpK19WCZwygdUElP+qWAL9lTEBXZHJV0REQqoYAvWdOZqyKbp5KOZGv0zNX1k65AJR6RcZThS7ZyOulKJAUK+JKtnE66EkmBAr5kWwfP6aQrkRQo4Fcup4uPjcrppCuRFCjgVy7nOrjOXBWZjQJ+5XKvg+tG9OmKUSrMtfyYCgX8yqkOLjHEKBXmXH6ENHZWCviVUx08rhS+5H2IUSrMufyYys5KAb9yqoPHk8qXvA8xSoWT/veBB9Lfoaays9I9bUUiqfkexjHWfdJ7Dkv1HsHbtjU7/VFmTf9TSLqnrUgPcuoQD1162rt3tumbMa78OCrVEk8qfWUK+CKRpPIl30iM0tPx47NN34zR8uMkKe5QU+krU8AXiSSVL/lGYtSXYx3dDA/DHQzGvya1HSqk01emgC8SSSpf8o3ECM5dHN3kskNdl8I5Iwr4EdQ6FE/OlMKXfCMxgnMXwTiXHWpKFPADq3konuQpRnDuKhjnsENNiQJ+YKmMtxXZrFjBuYtgnMPRdErLqIAfWE5D8SSulL7oG8kxU87haDq1ZVTADyyXoXgyWYhAndoXvUQ5HE2ntowK+IHlNnKgK7lku6ECdWpf9BLFOpoO2VaTO+J39yQfl112mefq6FH3wcDdrPl59GjfS9Svo0fdFxbcmxDaPBYW0vxcBoPnL+f6YzCY7X3Mxr+PWYylrlOobTUsdFuNsYwbAdZ8QlxVhh9BjvXQmHLKdkNlZCrtxRfjaDp0W92798yzgvs84lfAJ59yQ66SO6yd4rzzxk+fNVCrtBdfjNFFIdvq6iocOfL8i6aZwf79PSaBk1L/vh9dlXRyKjfEFqsU1cdh7VYcPep+1llnLufOnVv7LFTay0/IttpXu2dKSaf3wD7p0VXAzyUYxRZzx5fLTnVSWzj//L6XrAw57ABDttW++nEU8KdQ51oj9o4vhy+72kI8uez03cO11RQz/LlugGJm7wL+GHg1cLm7j71jiZldCXwM2A7c6O4f2ui9u7oBSs03qRjW5Q0aUqW2EE+Nn+36EN/hTuAubtAS8wYodwG/Bnx9ysy3AzcAVwF7gGvNbM+c8w1GnWsNjSpRW4gpp477UFK8uNtcAd/d73H3ezd42eXACXe/392fAm4C9s0z35BS3Ch9ULBTW4ip1oQitSHaXQzLvAh4aOj5qXbaGczsgJmtmdna6dOnO1i0RmobpQ8xg11Ow17VFuJQQpGGDQO+mX3VzO4a89hslj7uZmRjOw7c/bC7L7v78uLi4ibfXkKJEex0TRkBHT1BGonPjo1e4O5vm3Mep4BLhp5fDDw853tKJqaduVjTl12a7V3rNh/twF1PfKDbz6SLks4dwG4zu9TMdgLXAMc6mK8koMbOupylkIWWKJXLi8wV8M3sV83sFPB64O/M7Mvt9Jea2XEAd38aeB/wZeAe4C/d/e75FltyUWtnXY5UfosnlcRnrnH4MXU1Dl/i6mssssyuxrHyXenys405Dl9kKnXW5SOVLLREqYxSUsCX6DTUMQ8qv8WTSuKjgC8iQDpZaKlSSHwU8EUESCcLlXg2HIcvIvWoeax8DZThi4hUQgFfRKQSCvgiIpVQwBcRqYQCvohIJZK9tIKZnQbGnIy8KRcAPwi4ODnQOtdB61yHedZ54O5jry+fbMCfh5mtTbqWRKm0znXQOtch1jqrpCMiUgkFfBGRSpQa8A/3vQA90DrXQetchyjrXGQNX0REzlRqhi8iIiMU8EVEKlFUwDezK83sXjM7YWbX9708MZjZJWZ2m5ndY2Z3m9n72+nnmdlXzOy+9ue5fS9raGa23cz+xcxuaZ9fama3t+v8BTPb2fcyhmZm55jZzWb23Xabv770bW1mH2jb9l1m9nkze0Fp29rMPm1mj5rZXUPTxm5Xa3y8jWvfNrPXbXW+xQR8M9sO3ABcBewBrjWzPf0uVRRPA7/v7q8GrgB+p13P64Fb3X03cGv7vDTvB+4Zev5h4CPtOv8QuK6XpYrrY8Dfu/urgF+gWf9it7WZXQT8LrDs7j8HbAeuobxt/RngypFpk7brVcDu9nEA+MRWZ1pMwAcuB064+/3u/hRwE7Cv52UKzt0fcfd/bn//b5oAcBHNuh5pX3YEeEc/SxiHmV0M/DJwY/vcgLcAN7cvKXGdfxp4E/ApAHd/yt1/ROHbmuY+HS80sx3AAvAIhW1rd/868PjI5EnbdR/wWW98AzjHzC7cynxLCvgXAQ8NPT/VTiuWmS0BrwVuB17i7o9As1MAXtzfkkXxUeAPgGfb5+cDP3L3p9vnJW7vlwGngb9oS1k3mtmLKHhbu/u/A38GPEgT6J8A7qT8bQ2Tt2uw2FZSwLcx04odc2pmPwX8NfB77v5ffS9PTGb2K8Cj7n7n8OQxLy1te+8AXgd8wt1fC/wPBZVvxmnr1vuAS4GXAi+iKWmMKm1bTxOsrZcU8E8Blww9vxh4uKdlicrMzqIJ9qvu/sV28n+uH+a1Px/ta/kieANwtZmdpCnVvYUm4z+nPeyHMrf3KeCUu9/ePr+ZZgdQ8rZ+G/Bv7n7a3X8CfBH4Jcrf1jB5uwaLbSUF/DuA3W1v/k6ajp5jPS9TcG3t+lPAPe7+50N/Ogbsb3/fD3yp62WLxd3/0N0vdvclmu36NXdfAW4D3tm+rKh1BnD3/wAeMrNXtpPeCnyHgrc1TSnnCjNbaNv6+joXva1bk7brMeA97WidK4An1ks/M3P3Yh7AXuB7wPeBg30vT6R1fCPN4dy3gW+2j700Ne1bgfvan+f1vayR1v/NwC3t7y8D/gk4AfwVcHbfyxdhfV8DrLXb+2+Ac0vf1sCfAN8F7gI+B5xd2rYGPk/TR/ETmgz+uknblaakc0Mb1/6VZgTTluarSyuIiFSipJKOiIhMoYAvIlIJBXwRkUoo4IuIVEIBX0SkEgr4IiKVUMAXEanE/wMNrT6B5f8qMwAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "p1 = 7\n", "t = 100 * rand.rand(100)\n", "t = np.sort(t) # ordenamos temporalmente t\n", "\n", "dy = 0.1 * (1 + rand.rand(100))\n", "y = reddsin(t, 1, p1, 0) + 0.1 * rand.randn(100) # corresponde a un seno con amplitud 1, periodo p1 y offset 0.\n", "\n", "plt.plot(t, y, 'bo')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A simple vista quizas cueste ver la sinusoide, pero ahi esta! Probablemente se visibilice al hacer el phasefold, probemos:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "tp, yp = phasing(t, y, p1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ahora probaremos el periodograma! Ya que la senal no es excesivamente compleja, no es necesario hacer una grilla de frecuencias nosotros, asi que usamos la inbuilt function autopower." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "frequency, power = LombScargle(t, y).autopower()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(frequency, power)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Tenemos un hermoso periodograma, con un solo peak notable, que trataremos de rescatar y a la vez comprobar que periodo obtenemos." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Frecuencia Periodo\n", "0.143570 6.965238\n" ] } ], "source": [ "best_frequency = frequency[np.argmax(power)]\n", "print('Frecuencia Periodo')\n", "print(str(best_frequency)[:8], ' ',str(best_frequency**-1)[:8])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Recuperamos un periodo bastante similar al esperado de 7 dias!\n", "Probaremos la funcion model, que deberia devolvernos una sinusoide. Para mas info, vease LombScargle en astropy.\n", "El proposito de esto es obtener una comparacion visual de nuestros datos con una sinusoide del mismo periodo encontrado." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "t_fit = np.linspace(0, 1/best_frequency)\n", "ls = LombScargle(t, y)\n", "y_fit = ls.model(t_fit, best_frequency)\n", "\n", "plt.plot(tp, yp, 'ro', alpha=0.5)\n", "plt.plot(t_fit, y_fit)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Con nuestros datos" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "frequency, power = LombScargle(data[0], data[1], data[2]).autopower()\n", "\n", "#plt.plot(frequency, power)\n", "plt.plot(frequency, power)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Encontramos 3 peaks notables!\n", "Queremos verlos mas claramente, asi que zoomeare rusticamente alrededor de cada peak." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(frequency[:500], power[:500])" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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8moiPwoiK7Tbi1zTfqyncPeASrZC6Y09855wjKCbX8MZh4zigCUrh7oHkXhsp3bEnnqvslim+ppX7CAp3D1S0QuomJvFc5Ei0/qrmXo/C3QPJVsjSZNdcF19FiTtU1QpZn8LdA3H3QPxx6f9auYuvwiixUZ5aIetSuHug1sZhqrmLr5I193IrpBYzIyjcPVBr4zBNdvFVFDnSqapWSC1mRlC4e6D2xmHjOCCRk6gQucSTx3SNqR6FuwcqNw5Tt4z4LflAeLVC1qdw90DcPaCNw6Q5FEJHuuqmPc33kRTuHkjukqduGfFdrS1/Fe4jKdw9kGyFNE128VzygmpKu6DWpXD3QLIVUrvkie8KifleuplJ3TIjKdw94Gq0QoZayYinam1xrY3yRlK4eyC5cZipe0A8V3FB1bSYqUfh7oFkK2TKtJIRv0XJO1SD4dekksJ9knPO4dzIZ6iqBim+CmvcoapwH0nhPsmVqi+pqr5flWXEV7X2UlK4j9RQuJvZpWb2gpltNrPra3z9U2a2wcyeNbNfmNmZYz9UqaUU4tXbD2iui6/CWs9QVc19hFHD3cxSwM3AB4BzgKvM7Jyqw54Cljrn/gfwfeCfxnqgUltpxRJUTXat3MVXhXA43NUKWV8jK/dlwGbn3BbnXA5YDlyRPMA594Bzrr/46ePA/LEdptRTDvfyk5ji1zXZxVcVDQRqhayrkXCfB+xIfN5dfK2ejwM/qfUFM7vWzLrMrKunp6fxUUpd5Zp79d4yWrmLp5IXVNUKWV8j4W41XquZHGZ2NbAU+FKtrzvnbnHOLXXOLZ0zZ07jo5S6SuUXq6q5K9vFVxUXVNUKWVe6gWO6gQWJz+cDu6oPMrP3AZ8Ffs05NzQ2w5PRuOqyjB5eIJ4L3cibmBTuIzWycl8LLDGzxWaWBa4EViQPMLPzgW8Clzvn9o39MKWe6lZIlWXEd2HoRjQQaL6PNGq4O+cKwHXA/cBG4G7n3Hoz+5yZXV487EvAFOAeM3vazFbU+XYyxqpbIdUtI74Laz2cRtN9hEbKMjjnVgIrq167IfHx+8Z4XNIgV9UKWaq9622q+CqMHKlUZc1d3TIj6Q7VSS6sqrnrSUziuzDSYyUboXCf5Oq1Qqo1THyVvKA6vJgZzxFNTAr3SS6q0wqpbhnxURS5iucXqAxZn8J9kitN6lTV0+BVgxQflRYt1WUZdcuMpHCf5Ia7ZarLMprs4p/SvC5dUC2VZwqa7yMo3Ce50qQu346tcBePlcO9/AxVIxUYBW0LOYLCfZLLF6+cZoqPpNGWv+KzsKoMCfHqvaBG9xEU7pNcvjipM6mqLX+V7uKhMBwZ7tlUQE7tYSMo3Ce5QvXKvbTlr8oy4qGaK/eUVu61KNwnudKKJV1Mde21IT4rzevKcA9Uc69B4T7JFarKMtryV3xWqLqgCsWyTEETvprCfZIbcUE1UM1d/BXWXLmrW6YWhfskV7qgWmqFhHjiqywjPqoV7plUoJp7DQr3Sa60Ysmmhv8qU2ZauYuX6rVCqltmpIa2/JWJZ6gQMpiLymWZdCLczbTXhvip1gXVeOWucK+mlfsk9Uf/3sW5n/uv4bJMoLKM+K/WBdVMyrT9QA0K90nq4Zf2A3B0sABANl1VltFCRjzS259n+RPbOdyfB0a2QuYKETsO9vPgiz3jNcQJR2WZSW77gT6gcuUeBEbkHM45LLHCEZms/uLup1m1aR9XXrAAqC7LGIP5iEu+8hD9uZBXPn+Z5j1auU96rxzoByCTWLkHBkOFiIu+sIq/uueZ8RqayJjpPhTP8/3HcsBwyy/ENfd8GNGfCwE4VFzdNzuF+yQ0UJzEANuKK/dMkCjLBEbP0UF29Q5yz7pu9h8bOuVjFBlLfUPxnD/YF8/ldEW3TFC+9gSw6/DAqR3cBKVwn4T2HBksf7yttHJP9LkHZhzoy5U/V7jLZHewOJ9Lq/KKO1TTxmB+eMGjcI8p3CehWmGdquqWOZgI9wPHciOOF5ksBnIhA/nSyj2ey6mqlXvpHSwo3EsU7pNQb1VNMZOyigtIgVlFoGvlLpPZof7hudw7UKtbxir2UtqdeGfbzBTuk1Bpgrdm4r++TKryr7E1E3BsqFD+XCt3mcyS70JLknM+WzX/D9U4vhkp3Cehw8VwP2N6G1B5cQmgo6Wyw7XWPw6RyaI0fxfObC+/lpzjyX2VgHIvfLNTuE9CpZX76Z2tQOUNTADt2VT59dlTWjjQp7KMTF6lssyi2R3l1zpaUuWP04lOsfkz2hTuRQr3SejIQJ6prWmmtWaAyskN0JGNVzXT2zLMnpIt9waLTEallfuiWbVX7snFzYIZ7RU1+mamcJ+EegfydLZlyhO8+m1pe/H16e2ZeOWuC6oyiR3syxFYZVmmPZNcuQ/P//kz2sply2ancJ+EDvfnmN6eYUoxxKsvKHUUyzLT27LMmpKt6HkXmWwO9uWY0Z5lenu2/FpyF9TSx22ZFLOmtHC4P4fTrqgK94lu3baDIzZDKq3cp9RbuWeHV+6zOlpGdMsUwoiXe46dxFGLvDrrth3k+Z29Fa8d6s8xoyNLZ1um5q/JFud/ayZgenuGfOjoS9zFPZgPeXrH4ZM36AlK4T6BbTvQxwe/vpqPfueJijvweo4NMaujpVyWqd7utHSxaXp7hllTshwbKlT8+j+8bS3v/ZcHWbft4Cn4U4zuoRd7uPQrD3Hvs7vGeyhN5cCxIT65/Cm+tuql8R4KEIfwB7++ml//6iO8uPdo+fWDfTlmttcP99LKvTWTYkZ7fEyyHfKGHz/Pb978KD99fs9JHP3Eo3CfwH6SmIw/37gXiB8ztqd3kHkz2phSDPGhfOX+vsMr9yyzOuK3sqXSzK7DA+Xtgu9cs/3k/gEaMJgP+Yu7nmbTnqP81T3Psu+obkA5Vb740038x9O7+Of/enFCbJV7//rh+Z4M4oN9OWZ0ZOqGeyYR7qdNizvIdvfG8ygfRqx8Lv5e33n0lZMy7olK4T4BHBsq8PmfbGT5E5Vh++jm/Zw1p4OpLWlWv3wAiO82zYeOM6a38ZrOuM99Z9Xt1pUr9xaA8kXVR4rBfu78Tn6+YW/FE2zWbDnAn9y5rmLVdLL9bMNeDvTluOk338RQIeTWR7eest+7me042M8Pn9zJ1RcuZPaUFu5Yve2U/d5HB/Ncc3sXf/ef68tPEgN4YNM+ZnVkeeMZ08rzFOBgX56ZxynLlPZVakkH5Yuupe0IntvZy7GhAmfOauep7YfoS9zct+1AH39/7wa27u8b+U090FC4m9mlZvaCmW02s+trfL3FzO4qfn2NmS0a64H6oD9X4N5nd/FK1WT6x5Ub+eaDW7j+h8+xbtuh8rFPvHKQdy6Zw3kLp5dfLwX5vOmtvOf1c5nSkubic06r+H7llXtblrlT43DvPhT/uode6mHu1BaueedZHBkslGuRe48M8rHb1rLyuT189DtPVPwj2Lj7CDeuWM+qTXvH+pRwd9cO5k1v43eXLeSSN76G767ZTn+uMPovHAcHjg2xpedYQxfr+nOFCX2n5DcfepnAjD9999l8ZOl8Vm3ay57esX3XtHnfMa7/wbPcvnprxTm7ccUGfrZhL7c+upU7H49/qESR45HNB7jo7Nm8Y8kcniwG8aG+HPuPDbFwZkfdcF8ydypTW9P8ybvPZv6MdgKD7Qf7GcyHdG2NS4+fuvi15EPHo5vjHxr5MOLa29fxrUde4epvr6koWw7mQ362Ye+k36Nm1HA3sxRwM/AB4BzgKjM7p+qwjwOHnHNnA18GvjjWA21UFLmaz1PMFaKaoXF0ME+u8OoeWzSYD1m/q7fiDlDnHD99fg9/8/1n+X+Pbyv/nr39ea685XGu++5TXPavD5dX4ht2HWH5E9u58oIFzJ7Swpfu30QUOR56sYehQsT7zzmNpWfO5IW9R/nS/Zv4w1vXAvHdqanAeOqGi/nG1W+tGFe5W6Y9wxtOn0ZrJuBP7nySf1y5kZ88v4d3LJnDO5bMoS2T4o7Ht+Gc4x/u20g+dHz5t89ld+8gN927gVwh4pGX9vPBrz/GbY9t5WO3dfGNB18un+PvrtnO+7/8IB/8+mM8+GJP+R/wYD7k/vV7uH31Vp7cfqji/O442M+//XIzd3ftYOPuIzyyeT8fXjqfIDA+/vbF9A7k+e4EKBclOef41sNbeNsXVvGef3mQT9yxjt6BPPuODPL8zl6e3H6Ih1/q4dnuwxzsy/H9dd0s+4dfcP5NP+OTy5+acK2o2w70cffabj60dD6nd7Zx5QULiRzc+ugrrN/Vy/99aAsPvdhT8e+ob6jAj5/eyZ1rtrG7dzj0dvcO8Kd3PslbbvoZn7rr6XIgbth1hA9/4zGWr93BDT9ez033bsQ5x+NbDvDDp7r5xK+dxUVnz+Irv3iJw/05Hnyxh/3HhnjfOafx9rNnU4gct6/exneL72bPWzC9vN1Gtbf9yiyeu/ESLj/3DLLpgNM72/jqqs0s+4ef8/113Sye3cFlbz6d6e0Z/vPZ3YSR4661O3hh71H+4FcX0X1ogK+t2gzE/05/+5bHueb2Li758kOs2RL/O40ix3Pdvdy4Yj3fenhLxfYeYeTYtOcIW/f3TaguHRttMGb2NuBG59wlxc8/A+Cc+3zimPuLx6w2szSwB5jjjvPNly5d6rq6uk54wHeu2cbNqzZzZLBAGDk62zKkAmMgH1bsHjezI0trOqA/H9I/FJafjl66+ac/V6Cv+HpgcHpnG2aUf4KnAqN3IE9rJkU2FXC4P097S4qObJqhQkhLOsW+o4PlfaTP6GzFzChEEXuPDNGWSTGQD5nSkmZmR5ZDfTmGChGfuez13LlmOy/3HOP0aa0c6MvRnk3xwF++i/ue281nf/Q8szri9sUzOlt58K/fzZ7eQd71z78kLF44ndKSZu1n30dbNlXjDMWll6u/vYbl117IhWfN4re/uZo1rwxfPP3G1W/h0jedzk33buDbj7xCOoifQXndu8/mLy95HZ9fuZFvPrSlfPySuVO47WPL+Mf7NnLfc7vj1kuLf2CeO7+Tg/05dhwcYEpLmo6WFEcGCuW/B4i7GDrbMgwVInoH8iRnRWdbhp9/6teYM7UF5xy//50nePil/Syc2V7+HpnACJ0jcnHbZzYdP5yhEDoKkSOw+KHggRlh5BjIh6QDo6MlXX6tEEWEkSOMHNl0QEs6RSGMyIXx1zKpgLZMijByHBnMkw6M9myaXBhxbDD+87zvDXN54xmdfO2BzeW/i3qWLZ7Jm+d1cvvqrZgZszqyGOCAgXxIGDqmtWUIAugfCkkVxwuUxxlGjrD4RK1YXH4o7RFnFR8Pf63UO5XcTK58nMG+I0O0ZlLc9+dvZ/6MuIzx6buf4QdPdlf8GTrbMrRlUhwZzJcfhFH6HqdNbSUVGHuPDJJOGe9+3VxWbdpHGDlmT2lh/7EhZk9pYfm1F3LbY1u57bGtTG1JcyxXYOHMdu7783ew/UA/v/G1R2jPphgqRMxoz/DwX7+HyDku+Pufc7QYoIHBczdeQkdLmkXX3wfA1i/8r7rn/hN3dHH/+uF3mf/nstdz7Tt/hb/7z/UVZb8Lz5rJ9665kE/e9TQ/fnoXU1vTDOZDnIO/vvR13LV2By/39NGRTZW7b0r/VtqzKTrbMuTDiIFcWP767CkttGaC4tyMGCrE827WlCz5gmOwENLZluFTF7+WK86bV/fPcDxmts45t3TU4xoI9w8Blzrn/qj4+e8B/9M5d13imOeLx3QXP3+5eMz+qu91LXAtwMKFC9+6bduJ1/ke2LSPe5/dXQz1eB8JR9zj2pZN0ZpJYcQdJblCRHs2RXs2TUc2RSpl7Okd5NhggY6WNB0taTrbMgzkQ3Yc7Mcs/j6Ri9sFp7dnGMxH5AoR0zsy9A+F9A0VaMmkGMqHnNbZyhtOn8auwwO8sOcoZuAc/OqvzOK3zp/HM92H+eGTO+kbKtCaSfGRCxbwloUzONSX45aHt9BzdIhMyvjDixbz2tOm4pzjzjXbWb/rCFHkuOadizl77lQA7lq7ndZMirZMijfN6yzvK1NLIYz40VM7+d9vmU8qMLYf6C+3PvbnQi5782swM4YKIfd0dbP9YD+LZ3fwkaULSAWGc46fbffuSFYAAAbcSURBVNjLC3uO0tGS5oNvmU9ne4Ywctz77C427D6Cc3DBopm87w1zyYURP356Fxt2HaE/V6A9m+Y9r5/L2XOn8MyOw6zdeqh4DuLtED60dD6b9hzlgU37uOK8ebz1zBnlsR8ZzPONX77MrsMD5R9e+dCRMiMI4idM5UNHJjDSKSMVBIDDOYicIzCjtRjSfUMFHPEP6nRgpAIjMCNXiBgqhKSLPyjSQfzaYD4kFQRMbU0TOUffUEg2bbRl0rx5/jSuOHceQWA8232YX2zcx+wpWeZOayWbCuhoSXO4P8e2A/3M6MhyxXlnkEkFvLT3KMvX7uDIQDxPDWjLpsqLhyhytLekiSJXESCBGakAUkFAYPEPBSDxg9GVPy7/P/la4nhH5YsdLWl+98KFvP4108rn/dhQgVse2kJHNsUV58Vzd9XGfTgcU1szTGvNcOFZM5k1pYWVz+1mx8F+wshx+vRWrrxgIQtmtrPjYD/fe2I7PUeHmDO1hd9725mc3tmGc44fPrmTp3YcYnpblt9/25nMLV74fGzzfn7w5E7SgfFH71jMktPi+f78zl5WPLOLhTPbmdKS5jfPj4PwiVcOcnpnKwsSNzRVGyqE7D+WI2XGfzy9kz/41UW0ZlLkw4g7Vm/jyGCelnSK31m2kM72DIP5kNtXb2XX4UFSgXH5uWdw7oLpHOrLccfj2zjUn2Nqa4bTprXwG+eewZaePn6wrpuBfFieP+ctmE5/LuSp7YdxzpFOWTy/UgGpwNh/bIiW4qLiyGCeD791AW9fMrvun+F4xjLcPwxcUhXuy5xzf5Y4Zn3xmGS4L3POHaj3fV/tyl1EpJk1Gu6NXFDtBhYkPp8PVDckl48plmU6gYnRRC0i0oQaCfe1wBIzW2xmWeBKYEXVMSuAjxY//hCw6nj1dhERObnSox3gnCuY2XXA/UAK+I5zbr2ZfQ7ocs6tAL4N3GFmm4lX7FeezEGLiMjxjRruAM65lcDKqtduSHw8CHx4bIcmIiKvlu5QFRHxkMJdRMRDCncREQ8p3EVEPDTqTUwn7Tc26wFO3VZ0lWYD+0c9SkDnqlE6T43TuWpMvfN0pnNuzmi/eNzCfTyZWVcjd3iJzlWjdJ4ap3PVmP/ueVJZRkTEQwp3EREPNWu43zLeA5hEdK4ao/PUOJ2rxvy3zlNT1txFRHzXrCt3ERGvKdxFRDzkZbib2evM7OnEf0fM7JNm9mEzW29mkZktTRyfMbN/N7PnzGxj6VGCvnsV5ylrZrcWz9MzZvaucRz+KXWcc/UlM9tkZs+a2Y/MbHri13ym+ND4F8zskvEc/6lyoufJzGaZ2QNmdszMvjbe4z9VXsV5utjM1hX/7a0zs/eM+pu44jMaff2PeJviPcCZwBuA1wG/BJYmjvkdYHnx43ZgK7BovMc+Ac/TnwK3Fj+eC6wDgvEe+zifq/cD6eLrXwS+WPz4HOAZoAVYDLwMpMZ77BPwPHUAbwf+GPjaeI95Ap+n84Ezih+/Cdg52vdtaMvfSe69wMvOufLdsMkHBxc5oKP4FKk2IAccOWUjnBgaOU/nAL8AcM7tM7PDwFLgiVM1yAkiea6Sd1k/TvywGoAriBcMQ8ArxWcdLANWn9KRjq9Rz5Nzrg94xMzOHofxTRSNnKenEq+vB1rNrKU4v2rysixT5Urge6Mc832gD9gNbAf+2TnXbI8JbOQ8PQNcYWZpM1sMvJXKRzA2i3rn6mPAT4ofzwN2JL7WXXytmTRynuTEz9MHgaeOF+zgebgXHwt4OXDPKIcuA0LgDOK30J82s7NO8vAmjBM4T98hDqku4CvAY0Dh5I5uYql3rszss8Tn4s7SSzV+edP0HZ/AeWpqJ3qezOyNxOWaT4z2vX0vy3wAeNI5t3eU434H+KlzLg/sM7NHicsNW072ACeIhs6Tc64A/EXpczN7DHjpJI9tohlxrszso8CvA+91xaIojT1Y3meNnqdm1/B5MrP5wI+A33fOvTzaN/Z65Q5cxeilBohLMe+xWAdwIbDppI5sYmnoPJlZe/H8YGYXAwXn3IaTPbgJpuJcmdmlwN8Alzvn+hPHrQCuNLOWYglrCc11baLR89TsGjpPxa6Z+4DPOOcebeQbe3uHqpm1E9c8z3LO9RZf+y3gq8Ac4DDwtHPuEjObAtxKfMHQiDtCvjQ+Iz+1TvA8LSJ+UHoE7AQ+nrwA67s652ozcUfMgeJhjzvn/rj4tc8S100LwCedc01RZ34V52krMA3IEs+39zfDouFEzpOZ/S3wGSrfKb/fObev7vf3NdxFRJqZ72UZEZGmpHAXEfGQwl1ExEMKdxERDyncRUQ8pHAXEfGQwl1ExEP/Hz9y9lBj4cpHAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(frequency[87500:88000], power[87500:88000])" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(frequency[175000:176000], power[175000:176000])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notamos que los peaks 2 y 3 son en realidad peaks dobles con poca diferencia de dias, a que se puede deber esto?\n", "\n", "Trataremos de rescatar la posicion de estos en nuestro array, para obtener la frecuencia exacta.\n", "Para esto, usamos argsort de la misma manera que en los datos sinteticos y encontramos su ubicacion." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([6.95062952e-04, 1.39135157e-03, 7.89022416e-01])" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.argsort(power)[::-1][:100]\n", "\n", "peaks = np.array([175385, 87615, 154])\n", "best_frequencies = frequency[peaks]\n", "best_periods = 1/ best_frequencies\n", "best_periods" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Probaremos a ver estos datos phasefoldeados en los 3 periodos que encontramos." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([8.19065635e-09, 3.65667797e-08, 7.58665425e-08, ...,\n", " 6.95038867e-04, 6.95040530e-04, 6.95052559e-04]),\n", " array([0.98632065, 0.98597819, 0.98912652, ..., 0.98860875, 0.98819494,\n", " 0.98773499]))" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "phasing(data[0], data[1], best_periods[0])" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([1.29096051e-08, 1.74159021e-07, 2.03081231e-07, ...,\n", " 1.39077243e-03, 1.39083906e-03, 1.39128854e-03]),\n", " array([0.99225572, 0.9940731 , 0.99173103, ..., 0.99052354, 0.99091238,\n", " 0.99231053]))" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "phasing(data[0], data[1], best_periods[1])" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([3.93377911e-06, 6.71900601e-06, 1.17250352e-04, ...,\n", " 7.88902819e-01, 7.88903440e-01, 7.89007886e-01]),\n", " array([0.99439149, 0.99202993, 0.99659609, ..., 0.99414783, 0.99491847,\n", " 0.99766467]))" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "phasing(data[0], data[1], best_periods[2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Todos parecen foldear bien. Habra mas de una senal en nuestros datos? Podra ser una suma de sinusoides?" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 4 }