{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Lomb-Scargle Failure Modes\n", "\n", "Use simulated data to explore failure modes of periodograms" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "plt.style.use('seaborn-whitegrid')\n", "\n", "import numpy as np\n", "from astropy.timeseries import LombScargle" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def iter_fits(num_fits=1000, num_obs=60, days=180,\n", " mag=20, amp=1, dy=0.15, period_range=(0.7, 0.2),\n", " rseed=547398):\n", " \"\"\"Iterator over fits to generated light curves\"\"\"\n", " rng = np.random.RandomState(rseed)\n", " for fit in range(num_fits):\n", " period = period_range[0] + period_range[1] * rng.randn()\n", " phase = rng.rand(3)\n", " a = [amp, 0.9 * amp, 0.5 * amp]\n", " t = rng.randint(0, days, num_obs) + 0.1 * rng.rand(num_obs)\n", " y = (mag +\n", " a[0] * np.sin(2 * np.pi * (t - phase[0]) / period) + \n", " a[1] * np.sin(4 * np.pi * (t - phase[0]) / period) + \n", " a[2] * np.sin(6 * np.pi * (t - phase[0]) / period) + \n", " dy * rng.randn(num_obs))\n", "\n", " ls = LombScargle(t, y, dy)\n", " freq, power = ls.autopower(minimum_frequency=1. / 2.2,\n", " maximum_frequency=1. / 0.1)\n", " best_freq = freq[np.argmax(power)]\n", " \n", " yield (period, 1. / best_freq)\n", "\n", "results = np.asarray(list(iter_fits(1000)))" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/jakevdp/anaconda/envs/python3.5/lib/python3.5/site-packages/ipykernel/__main__.py:2: RuntimeWarning: divide by zero encountered in true_divide\n", " from ipykernel import kernelapp as app\n" ] }, { "data": { "image/png": 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REYEJEyYgJibGb/hSdHQ0Jk6cSPOVCSGyUCgUYVt1VlxfuaGhARMmTEBkZCS+\n//57mEwmqYdLEAR4vV4oFAoolUo4nU7wPC936IQMOuL6ymIPskKhAMuy4HneLx9ZlgVwrhfa7Xb3\nKh99Ph8EQQjVWyABkK2xbDabsWPHjk7LHLS3t3fatqioCFOnTpX+eCkUCkyZMgXHjh2Tnr/00kul\n7ZOTk3HJJZegqKgohO+AENJXOp0OgiAgNjYWl19+OS699FJMnDgRU6ZMwbhx45CRkSF3iISQISjc\n5/eK6yunpKTAYDAgJSUFLS0taGxsBABEREQgMjISOp0OHMfB5XJJxRMJIcHVcY4ywzBQqVTS+srA\nuXwUq2KL+Wi323s1euXFF19EWloa3fAKkt27d+Ouu+7q1e962YZhR0VFYebMmdK/eZ7H66+/junT\np3fatqGhAZmZmX6PxcXF4ccffwRwriDH+cU44uLiUFdX120M4pd8qBPPAZ2Lc+h8dBbsczJs2DCY\nzWacOXMGaWlpuOSSS8BxHCwWC1JSUjBs2LCwPv/0HemMzom/cDkfch9/oLnrrrtgtVrx+eefyx1K\nl8xmM2JiYlBYWIikpCTwPA+z2Sx1PDAMA4VCAYfDIfVGCYKAlpYWGI1GaDQaOcMnZFDpOBdZpVJJ\n/xXXV+Z5Hh6PR/o9LP7b6XRCq9UGtA5zUVERkpKSgrZm81DGcRyefPJJjB49GiqVSurx74lsjeXz\nbdiwASdPnsS7777b6TmXy9XpF7xGo5HepLie2YWev5CysrKLjHpwOX78uNwhhBU6H50F85zEx8ej\nsrIS+/btkx6LjY3F6NGjpRth4Y6+I53ROfFH52Ngqa+vR3R0tNxhXJDJZMLPf/5zfPnll/B4PJgy\nZQqWLFkiFRQSe7cEQQDP89KIPK/XC5/PR41lQoKIYRhERETA4XBIDWW9Xu/XWGYYBoIgSD/izSyx\nKFhPTpw4gUmTJoX6rQwJn332GUpKSvDaa6/16nVh0VjesGEDXnvtNWzatAmjR4/u9Ly4DmtHLMtK\nk+kv9LxOp+v2uJmZmTAajRcZ/cDHcRyOHz+OCRMmQKlUyh2O7Oh8dBaqczJz5kxYLBa4XC7odDqk\npaUNiLnK9B3pjM6Jv3A5H06nE6WlpbIdf6DpaiRbOCkoKMBrr70GlmURFxeHW2+9Fbm5uX7baDQa\nvzmO4kU6ISS4WJaF2+2WGsE6nc7vhpRKpYJSqfQbQi3OYQ50WPX+/ftpvfQgmT9/Pg4ePNjpd2ZP\nZG8sP/nRJEHfAAAgAElEQVTkk3jzzTexYcMGzJs3r8ttEhMTpfk4osbGRmno9YWe72npB3H4BDlH\nXESdnEPno7Ngn5OoqCiMHz8+aPvrb/Qd6YzOiT+5zwd9Fr1z8OBBeL1eucPokljcy263Y+zYsdBo\nNHjnnXcwdepUqWcZOHdtI46uE3uW1Wo1fRcICaKOxb3EIdgul0taKgo411iOioqSiuwpFAppXeZA\nb2BptVpotdpQvpUhQ6FQdDndtyeyDoB/8cUX8dZbb+H555/Hddddd8HtcnJycPToUb/5N4WFhcjJ\nyZGeP3LkiLR9bW0tamtrpecJIYQQQnoiFsgKR2Jxr4yMDEyaNAnDhw/3K+4lUqlU0Ol00Ol00Ov1\n0v9TY5mQ4OmpuJfIaDTCYDAgIiICBoMBGo0m4JtX4V5wcKAQBAFffvlln0fYyNZYLi8vx9atW3H3\n3Xdj6tSpaGhokH6Ac38U3G43AOCnP/0pWltb8fTTT6OsrAxPP/00XC4X5s+fDwC4/fbb8cEHH+Af\n//gHTp06hVWrViEvLw+pqalyvT1CCCGEkKARi3udPXsWDocDZ8+eRUxMTKdVRVQqFUwmkzQcVKPR\nSEtLEUKCo2NxL57npXWUz5+HrFKpEBsbC61WC0EQpPwMJB9Xr16NK664IlRvYcj46KOPcPXVV+PQ\noUN9er1sjeUvvvgCHMdh27ZtmDFjht8PAMyYMQOffPIJgHN3ZbZv344jR44gPz8fRUVFePnll6HX\n6wEAkydPxp/+9Cf85S9/we23347o6GisW7dOrrdGCOmGw+FAcXExCgsLUVxcTHNxCCFhoby8HImJ\niTh8+LDcoXTJZDLh2muvRV1dHSwWC8xms19xr44MBgMSExORlJSExMTEAVELgpCBhGEY6PV6qUf5\n/OJeHfU1H8VK2KTveJ7H448/jlmzZvVpCDYg45zle+65B/fcc88Fny8pKfH798SJE7Fnz54Lbp+f\nn4/8/PygxUcICb6qqiqpGqE4z2fMmDGYN28ejQQhhMjKarWivr4+rBuWDQ0NKCwsxKFDh5Cent5l\nQ1kkzo0Ue70YhqHlZwgJIo1GI+VYT/nVl3w8ceIE7r///mCHPaQ4nU5MnjwZS5YskWo49BaNySGE\n9AuHw4H33nsPR44ckYYq8TyPuro6tLe34+677w7ri1RCyOBWX18PAFLx0HD01VdfYcKECQEvJcOy\nrFSESKFQwGg0UrEgQoKoNzehepuP5eXlYVtwcKAwGo149dVXL2of1FgmhPSLU6dO4dChQzAajUhM\nTJQay1arFYcOHcLMmTMxdepUucMkhAxR11xzDU6ePIm4uDi5Q7mge++9F21tbQFtK1br9Xg88Pl8\nUrXe+Ph4aelNElw8zwfUy0iGnr7kI3Ug9J3NZkN9fT0SEhK6HYETCGosE0L6RUVFBRwOBzIzM6Wh\nMAzDIDExEVarFRUVFdRYJoTIRq/XIzs7W+4wuiXWdQmEONyTZVmpd8rr9cJut0Oj0VBjLsjEXkOO\n46BUKqHX6/3W3CVDW2/zUfwekd4rKCjAjh07cPDgQYwaNQq///3ve722ckf0m5IQ0q/6WrqfEEKG\nMpvNhh9//BE2my2g7RmGgSAI8Hg8EARB+t0r9myR4Om45q5YIVlcW5cMPmLDtzefb2/z8Y477sDC\nhQuDFvNQIa5HX1JSgvb2drhcLuzatSvg35tdocYyIaRfpKenw2g0wmq1Sn9gxGHYRqMR6enp8gZI\nCBnSVq5ciWXLlskdRpcKCgpw4403YunSpVi9ejUKCgp6fI1YrVehUEjDg3meh9frpXmQQRbomrtk\n4GNZFq2trbDb7WhtbQXLsgG9rrf5ePToUSQmJgY7/EGvoaEBzc3NaG1txfDhwzF69Ogu16PvDWos\nE0L6RVZWFnJzc+HxeFBdXS39eDwe5ObmIisrS+4QCSFDWGFhIZqamuQOoxObzYatW7eisrISGo0G\nDQ0NAfeU6HQ6REZGAgAUCoXUkPN4PNSQC6JA19wlA5s4gqDjMOrejCAINB/b29tRXl6OyZMnB/9N\nDHJmsxmxsbEYPnw4srOzL7gefW9QFhNC+oXBYMD8+fMxatQo6S68yWTCrFmzsGDBAipkQQiRlcVi\nwfDhw+UOo5P//Oc/+Pzzz9HS0oKKigqoVKqAe0oYhkFkZCQiIiKg1Wqh1+thMBggCAI1loOoN2vu\nkoGL53m43W643W60t7eDZdle3XgKNB+NRiMaGhqwYMGCUL2VQctkMmHJkiVISkpCc3Nzt+vRB4oK\nfBFC+kVVVRUOHz4MlUqFpKQksCyLpKQkzJw5k9ZYJoTI7t1330V0dLTcYfix2WxYu3Yt6urqIAgC\n2tra0NTUhBtvvDHgnhKtVguDwSD1dnYcLkyCpzdr7pKByev1oq2tTRp6Ld4k6Y1A8zEmJiZocQ8l\nr7/+OqZPn47/+Z//QWNjI+Lj4y+6GjZlMiEk5BwOB/bu3YuWlhaMHTsWM2fORF5eHvR6PQ4fPgyH\nwyF3iISQIW7y5MkYMWKE3GH42blzJ4qLiyEIAhQKBQRBQGtrKyZOnBjwBSDDMDAajVAoFHC5XFJP\nGBX5Cj5xWC01lAcfnudhs9nAsqxUnIvnebAs26tcCiQfA50HTfxVVlZi6dKlePPNN2EymZCZmXnR\nDWWAGsuEkH5gsVhgtVoxfPhwaSkEpVKJtLQ0WK1WWCwWmSMkhJDwYrPZ8Pe//10anileoAuC0Otp\nKyqVCiqVChqNBgaDATzPw+Fw0FBsQgIkrovcMQ9FvV3lo7t8FAQBKSkp2Lp1a1DjHwoeeeQRxMTE\n4MEHHwzqfqmxTAgJOZfLJRWz6EipVEp3VwkhRC7/+7//i2uuuQYej0fuUCTl5eWora3t9LhOp8Pl\nl1/eq32JlXcZhoHb7QbLsmhvbw+r90tIOBMrV3ckCALUajXUanWv93WhfCwtLUVDQwMyMzODGf6Q\ncNddd+Gll16C0WgM6n5pzjIhJOR0Oh0EQQDHcVLPMgBwHAdBEKDT6WSMjhAy1B0/fhwFBQXQarVy\nhyJpbW1Fe3u7NPxatGDBAkycOLFX+xLn0La1tUGhUEiPu1wuaLVaGjZMSA+8Xm+nHmSGYWAymaBS\n9a451V0+FhUVQaFQYNq0aUGJeyiZO3duSPZLjWVCSMilpaXBZDLh8OHDiIuLg06nQ2xsLOrr65GY\nmIi0tDS5QySEDGGVlZVhVwn71KlT8Hg80gW6QqGAVqvF0qVLe70vhmEQEREh1YdQKpVQq9VSFV5q\nLBNyYeKSUR1zkWEYqaJ1b3WXj/n5+bBarUGZaztUVFZWIjU1NWS/x6ixTAgJubNnz6K8vByFhYXw\neDzQ6XSIjo7G9OnTkZeXR8tGEUJk9cADD+CWW26ROwyJzWbDjh07wHGc9JhCoUBMTIy0TmtviRf2\nPp8ParUaPp/Pr1eLENI1n8/nN8dfEASpdkBve5VF3eWj2WwOWuyDndPpxIwZM/CLX/wC69atC8kx\nqLFMCAmpkpISPP/887BarTCbzXA6ndBqtYiNjYXRaERsbKzcIRJChrhx48bJHYKfo0ePori42O8x\nnucxcuTIPlfsFqvwOp1OeDwe6SK9vb0der0eGo0mGKETMuiIayuLVelFOp2uz72ZXeWjUqlES0sL\noqOjKR8D9Nxzz8FqteJXv/pVyI5B424IISHjcDiwZ88e1NXVYezYscjIyEB2djYiIyOhVqupEjYh\nhHTh66+/7lT4UKFQ4Jprrrmo4ZkajQZGo1GqxKtWq8GyLFXGJuQCeJ5Ha2trp6r04tDpi9ExH9Vq\nNU6fPo1Vq1ahoqKC8jFANpsNDz30EEaOHBmyY1DPMiEkZCwWC+rq6hAbGysV9mIYBmazGbW1tdBo\nNF1WwnY4HLBYLHC5XNDpdEhLS6Oh2oSQkGhtbcXixYvx+OOPY+rUqXKHA5vNhm+++abT4wqFAlOm\nTAnacRQKBZxOJ1iWleZQUrFFQvyxLAu32+33mCAI0Gq1F91YFnEcB6/Xi+rqaiQnJwMA1RII0HPP\nPdfrpbt6ixrLhJCQcblc0lCijr/4GYaRlmE4/+KsqqoKn332GUpKSuDz+aBSqTBmzBjMmzcPqamp\n/f4eCCGDW2VlJT788EOsXr1a7lAAAA0NDWhpaYFSqfSbs2wymaQL6YshVuK12WxgWVa60LTZbFQZ\nm5DziMs8qVQqaQUPhUKBqKioPs9XPp/X68V3332HN954Aw6HA1VVVbj77rtx5ZVXBmX/g1HHa8pQ\n116gxjIhJGR0Oh1MJhM8Hg8aGhpgNpvBMAx8Ph9sNhuysrL8KmE7HA689957OHLkCJRKpdSorqur\nQ3t7O+6++27qYSYkxHie92ukDXYWiwUGgwGpqalBe9/ifvqyP3HeojgaRxAEMAyDqVOnYvjw4UGJ\nUalUSpW2xQvO9vZ2REdHh9XyWaKLOZ/hpC/xD7V8DIWL+f4oFApp+TaGYaS1lXU6XVA+F47j0N7e\njnfffRcsy2LYsGGor6/Hq6++iuzs7LCr6xIOuejxeHDNNdfgwQcfxE033dTn/QT6HqixTAgJmbS0\nNKSmpsLr9aK5uRk1NTUAgObmZiQlJeHmm2/2a/yeOnUKhw4dgtFoRGJiotRYtlqtOHToEGbOnBkW\nwyQJGczKysrkDqFfJSUl4auvvkJ9fT3q6+uDuu/jx4/3+jVff/012tvboVKpIAgCVCoVoqKicO21\n16KioiJosXXVK3Z+UbFw05fzOdANtXwMpb5+f5RKpV/vpcfjwcmTJ4MVFmpra9Hc3Iz4+HhotVrE\nx8ejvr4ehw4dwiWXXBK04wST3Lm4efNmAMCxY8dCfixqLBNCQsZgMCAvLw8AoFarodVqwbIsxowZ\ng5tvvhljxozx276iogIOhwOZmZnSHyaGYZCYmAir1YqKigpqLBMSYpmZmTAajXKHMaBxHIfjx49j\nwoQJUg9xIGw2G7Zs2QKdToeIiAj4fD7wPI9Zs2Zh8eLFQVt71efzoa6uDi6XSyokJC5NJV6wh5O+\nns9w43Q6UVpa2qvXUD5evL5+f3ieh91ul9ZYFof+GgwGREdHB23KQnJyMmJjY9HY2IjExEQ0NjYi\nJiYGI0aMQEZGRljlo9y5yHEcLr/8csyZMwfPPPPMRe0r0HykxjIhJKRSU1ORn5/fq4Jd5y/PQAjp\nPwzDDOgGSThRKpW9OpfNzc1wuVyYOHEiKisr4XA4wHEcFixYgLi4uKDGJU6RAc41lCMiIiAIAlwu\nFyIiIsJy7nJvz2e46UvslI/B09vvj3gtotfrwbIseJ6X1lcOVnEvANDr9dIUtcbGRsTGxmLhwoUw\nGo1hm49y5aJSqcTXX38NQRAu+viBvp4ay4SQkDMYDMjOzu5xu/T0dBiNRlit1k7DsI1GI9LT00Mf\nLCFkSHn88ccxbtw43HbbbXKHArPZDJPJhP/+979ISUlBQkICkpOTcfXVVwf1OCzLguM4qNVqeL1e\n6WJcoVDA5/PB5/PROq9kyBNvVPh8Puh0Oni9XmmUXLAUFBRg586dOHjwIDIyMnDDDTdg5syZ0mgC\nscBYuDWW5dTftWvozBNCwkZWVhZyc3Ph8XhQXV0t/Xg8HuTm5iIrK0vuEAkhg8yuXbtw4sQJucMA\ncK7i9bRp0+D1esEwDNLT03H//fcHbfg1cO7i2+l0gud5GI1GKJVKqdfM5/NJ6y6zLBu0YxIyUGm1\nWiiVSvA8D41GA4PBELSGq81mw65du1BbWysVctu/fz88Hg9YlpXy0efzBeV4A5nNZsOiRYtQWVnZ\n78emnmVCSMj0dr1kg8GABQsWwGg0oqSkBC6XC06nE6mpqZg4cWI/Rk4IGQpYlkVNTQ2GDx8udygA\nzvUyffTRR1Cr1YiPj8ett96K3NzcoB5DvChXqVRgGAZRUVHSnEyFQiFV+XU6ndI2hAw1LMvC6XSC\n4zhpKHawl1YTl4nLyMjA2LFj4XA4pNU/TCYTVCoVVCoV3G43NBrNkM7FNWvW4OOPP8b69ev7/djU\nWCaEhERVVRX27t0Lq9UqLbuQmJiIvLy8btdLTk1Nxe23346CggIcOHAAra2t0Ol0KCwsRHV1dY+v\nJ4SQQHEchy1btmDmzJlyhwKbzYZt27bB5XJh9uzZaGhowDvvvIOpU6cGtWe549BSlUoFhUIBg8EA\nnuehVquluZNicbGhfIFOhiZx9IU4woPjOHg8nqAX2jKbzYiJicHZs2eRkpKCmpoaxMXFITk5GUaj\nESqVCjzPw+v1DumpEeXl5di+fTs2b96MlJSUfj8+/QYkhASdw+HA3r170dLSgszMTIwePRqZmZlo\naWnB3r174XA4etxHdXU1oqOjpQtFhUKB4uJifPbZZwG9nhBCeqLT6bB8+fJOlfnl8J///Af79u3D\nmTNncPjwYahUKrS0tKCxsTGox2EYBnq9HiqVSuphjoyMhEajAcuyaGtrQ2trK9xuN63vS4Yknufh\n8Xjg9Xrhdrvh9Xrh8XikyvHBYjKZ8Mtf/hJ6vR61tbUwm81YunQpYmNjIQgCvF4v2tra4HQ6Ybfb\nh+zUiJEjR+Kbb77BAw88IMvxqWeZEBJ0FosFVqsVo0aNknollEol0tLSUFZWBovF0m3BL/H1JpMJ\nBw4cQHV1tTQUqrS0FCNGjMDs2bP76+0QQkhI2Ww2vP/++3C5XFCr1Whra8O3336LWbNmIT4+PujH\n02g0Uq8VwzBgGAaCIMBut8PlckmFvmw2G8xmM/UukyFH7M0Vi+AJghCS4+j1erzzzjv4+9//jnnz\n5sFkMkl1A2w2GzweDxiGgdfrBc/zQzYfp0+fLtuxh97ZJoSEnHixdf4vdKVSCYVCAZfL1ePrWZbF\noUOHUFRUhJqaGtTV1aGurg7l5eX417/+Rb3LhJCL9tFHH+G5556TOwx88cUXOHjwIFwuF2w2G1iW\nBcMwuOGGG4I6BLsjhmE6zUn2+XxQKpXQaDRQKBRob2+H1+sNyfEJCVdiQ1nsUVYoFEFdKqqjL7/8\nEgzD4MYbb5RyXaPRICIiQhr5IQ6/Hmr5+N1332H79u0hu1ERKGosE0KCTqfTQRCETkP4OI6DIAjQ\n6XQ9vt5qtaKoqEhad9TtdktDkY4ePYpTp06F8i0QQoaADz/8EG+++aasMdhsNrz66qtobGyE2+0G\nz/Nwu93Izc0N+pJR3em4RI1CoYBCoZAeI2So4Hke7e3tUgVqjuP85vMHW0NDA2bPno2IiAi/xwVB\nkIruARhy+ejxeHDXXXdh+/btslcDp2HYhJCgS0tLQ2JiIiwWC9LS0qBUKsFxHCwWCxITE5GWltbj\n6z0eD2pqamA2m2E0GiEIApxOJ/R6PRobG3Hq1ClMnTq1n94RIWQwqqyslL0Sdnl5OYqLixEZGQmn\n0wmfzwePx4Of/vSnIetV7orYm+V2u6ULc41GA47jpGJghAx2Yv6p1WoIggCfzweO40JWjfrpp5/u\nsud0qOfjpk2bUFJSgiNHjoSsVz9Qg/tME0JkYTAYkJeXh71796KsrKxTNeyeFpQ3GAxISkqCIAjg\neR52ux1erxcqlQqxsbGwWq1BL3pDCBl6br/9dkRHR8sdBnw+HxQKBVJSUtDW1gaGYTB+/Ph+jUH8\n/drS0gKfzyfNY66vrwfDMIiNjUVUVFS/xkSIHMTeW7VaLY2yCGWDTew97qirfOR5HvX19VAqlYiN\njUVkZGTIYpLbAw88gPHjx4fFsqHUWCaEhERqairy8/N7tc5yR6NGjUJ8fDzUajWcTqdUmdJisVCF\nVkJIUPzyl7+UOwR888030nSThoYGREdHY8aMGRgxYkS/x2IwGKDVasGyLBoaGuDxeODz+SAIAtxu\nNwBQg5kMah6PByzLSjewNBoNIiMjQ9KT+8MPPyAmJgaXXHJJl893zEer1SpV5BYEAR6PByqVqsdp\nbQNVVFQUrr/+ernDABAmjWWWZZGfn4/HHnsMubm5nZ5fvHgxDh8+3Onx/Px8rFu3DgBw6aWXoq2t\nze/5wsLCgC/MCSHBZzAYuq163Z2srCykpKTg1KlTcDgc0vAnjuOgVqthsVjgcDgoxwkhA1ZFRQW2\nbdsGjUYDpVIJl8sFr9eLu+66q1+HYHekUqnAsqxfQ1kcjtrU1CQtO0XIYOPz+dDa2gqlUulXgdpg\nMIRkCPby5cthMBjw8ccfX3AblUoFt9sNj8cjdRQIggCWZdHc3Izk5ORBVR1727ZtuO6663qcrtef\nZP9t5/F4sHLlSvz4448X3OaFF17wq/5WVFSE3/72t1i0aBEAwGq1oq2tDf/5z3/8Jsjr9frQBU4I\n6ZLD4ehzb3JHWVlZyMrKwvHjxxERESHNF2IYBlFRUbBYLDRvmRDSZ8XFxfjwww+lC1Y5lJWVoa2t\nDREREYiIiIBWq4XdbofRaJQlHpF48X1+MSGx0CL1LpPByOfzwefzQavVSr3K4hDoYGtpacG+ffvw\n4osv9ritOJWtY8Ev4Nz1lsvlGjSdBv/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GgwEajQbxeBwsy+assIxEIuA4Dl6vF4FAAJs2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00mE3q9Xubwnk6DRMzqCodrwVILddex93xFRQXz5s0jOTn5C91joukGRzOSKyoqKCkpoa6ujtWr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\nuBi+vr5IS0tDcHCwtP27777DP/7xDygUCowaNQorV66Evb292rFcu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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def fn(P, n, use_abs=False):\n", " ret = P / (1 - n * P)\n", " if use_abs:\n", " return abs(ret)\n", " else:\n", " ret[ret < 0] = np.inf\n", " return ret\n", "\n", "\n", "def plot_guidelines(ax, n_values=[-2, -1, 0, 1, 2], alias=[1, 2],\n", " use_abs=False, linestyle=':', color='black'):\n", " x = np.linspace(0, 2, 100)\n", " return [ax.plot(x, fn(x / a, n, use_abs), ':', color=color, linewidth=1, zorder=0)\n", " for a in alias for n in n_values]\n", "\n", "\n", "fig = plt.figure(figsize=(10, 5))\n", "gs = plt.GridSpec(2, 4,\n", " left=0.05, right=0.95, wspace=0.05,\n", " bottom=0.1, top=0.9, hspace=0.05)\n", "\n", "# Main plot: show true vs measured period\n", "ax = fig.add_subplot(gs[:, :2])\n", "\n", "true_period = results[:, 0]\n", "estimated_period = results[:, 1]\n", "\n", "ax.plot([0, 2], [0, 2], '--', color='gray')\n", "ax.plot(true_period, estimated_period, 'ok', markersize=5, alpha=0.3);\n", "\n", "ax.set(xlabel='True Period',\n", " ylabel='Periodogram Peak');\n", "\n", "# Inset axes: show individual contributions\n", "\n", "def plot_inset(ax, mask):\n", " ax.plot(true_period, estimated_period,'o',\n", " color='lightgray', markeredgecolor='lightgray',\n", " markersize=3, alpha=0.3, rasterized=True)\n", " ax.plot(true_period[mask],\n", " estimated_period[mask],\n", " 'ok', markersize=3, alpha=0.5);\n", " ax.text(0.98, 0.95, '{0} / 1000'.format(mask.sum()),\n", " ha='right', va='top', transform=ax.transAxes)\n", "\n", "ax = np.array([[fig.add_subplot(gs[i, j]) for j in (2, 3)]\n", " for i in (0, 1)])\n", "\n", "plot_guidelines(ax[0, 0], alias=[1])\n", "plot_guidelines(ax[0, 1], alias=[2])\n", "plot_guidelines(ax[1, 0], alias=[1], n_values=[2], use_abs=True)\n", "plot_guidelines(ax[1, 1], use_abs=True)\n", "\n", "eps = 0.01\n", "\n", "total_mask = (abs(estimated_period - true_period) < eps)\n", "\n", "for i, a in enumerate([1, 2]):\n", " mask = False\n", " for j, n in enumerate([-2, -1, 0, 1, 2]):\n", " if a == 1 and n == 0:\n", " continue\n", " mask |= abs(estimated_period - fn(true_period / a, n)) < eps\n", " plot_inset(ax[0, i], mask)\n", " total_mask |= mask\n", "\n", "mask_neg = ~total_mask & (abs(estimated_period - fn(true_period, 2, True)) < eps)\n", "total_mask |= mask_neg\n", "\n", "plot_inset(ax[1, 0], mask_neg)\n", "plot_inset(ax[1, 1], ~total_mask)\n", "\n", "for ax in fig.axes:\n", " ax.set(xlim=(0, 1.3), ylim=(0, 2.2));\n", " \n", "for ax, label in zip(fig.axes[1:], 'abcd'):\n", " ax.xaxis.set_major_formatter(plt.NullFormatter())\n", " ax.yaxis.set_major_formatter(plt.NullFormatter())\n", " ax.text(0.05, 0.95, '({0})'.format(label), ha='left', va='top',\n", " transform=ax.transAxes)\n", " \n", "fig.savefig('fig25_failure_modes.pdf')" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3.5", "language": "python", "name": "python3.5" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }