{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "#Codes by Shucheng Yang\n", "import numpy as np #import numpy, and name it as np\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "import pycbc.psd\n", "from lib.PSD.LISAcalPSD import LISAcalPSD1, LISAcalPSD2 \n", "\n", "from pycbc.types.timeseries import TimeSeries\n", "from pycbc.types.frequencyseries import FrequencySeries\n", "from pycbc import filter\n", "\n", "\n", "from astropy import constants as const #import constants \n", "import astropy.units as u #import unit\n", "\n", "#my codes\n", "from lib.waveform import get_td_waveform\n", "from lib.waveform import peters, teukolsky\n", "from lib.filter import compare\n", "from lib.filter.compare import overlap_func\n", "from lib.filter.compare import match_func\n", "\n", "\n", "# Constants\n", "G = (const.G).value # gravitational constant\n", "C = (const.c).value # the speed of light" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 参数设置" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "采样频率为0.250000Hz,信号持续时间65536s, 时域信号采样16384 个点\n", "信号中可分析最大频率为0.125000Hz\n", "\n", "采样周期,即时域分辨率为4.000000s\n", "信号频域的频率间隔,即频域分辨率为0.000015Hz\n" ] } ], "source": [ "sampFreq = 2.0**(-2.0) #采样频率(Sampling frequency),单位时间样本点个数,应大于 2f(即Nyquist频率)\n", "duration = 2.0**16.0 #信号持续时间(duration of signal) 2^16, 0.75d, 2^25 ,1.06yr\n", "\n", "\n", "n = int(duration * sampFreq)#采样点数(Sampling Number), 有时也称为信号长度(Length of Signal) 2^16\n", " #为2的幂时,快速傅里叶变化效率最高\n", " #n = duration * sampFreqint = (duration / sampIntrvl)\n", "\n", "sampIntrvl = 1.0 / sampFreq #采样周期(Sampling period),隔多少时间取样一次,或步长\n", "freqIntrvl = sampFreq / n #傅里叶变换 频率分辨率(Frequency Interval) \n", " # freqIntrvl = 1 / duration = 1 / (n * sampIntrvl)\n", " # = sampFreq / n \n", " \n", "f_min = 1e-4 #可以设置\n", "f_max = sampFreq/2.0 #信号模式的最大频率\n", "\n", "print(\"采样频率为%fHz,信号持续时间%ds, 时域信号采样%d 个点\"%(sampFreq,duration,n))\n", "print(\"信号中可分析最大频率为%fHz\"%f_max)\n", "print(\"\\n采样周期,即时域分辨率为%fs\"%(sampIntrvl))\n", "print(\"信号频域的频率间隔,即频域分辨率为%fHz\"%freqIntrvl);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# PSD" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/ysc/Documents/matchGW/lib/PSD/LISAcalPSD.py:40: RuntimeWarning: divide by zero encountered in true_divide\n", " r = (1.0/ u**2) * ( (1.0 + np.cos(u)**2.0) * (1.0/3.0 - 2.0/u**2) + np.sin(u)**2.0 + 4.0*np.sin(u)*np.cos(u)/(u**3.0) )\n", "/home/ysc/Documents/matchGW/lib/PSD/LISAcalPSD.py:40: RuntimeWarning: invalid value encountered in true_divide\n", " r = (1.0/ u**2) * ( (1.0 + np.cos(u)**2.0) * (1.0/3.0 - 2.0/u**2) + np.sin(u)**2.0 + 4.0*np.sin(u)*np.cos(u)/(u**3.0) )\n", "/home/ysc/Documents/matchGW/lib/PSD/LISAcalPSD.py:42: RuntimeWarning: divide by zero encountered in true_divide\n", " psd1 = (8.08e-48 / ((2.0*np.pi*freqVec)**4.0) + 5.52e-41)\n", "/home/ysc/Documents/matchGW/lib/PSD/LISAcalPSD.py:43: RuntimeWarning: divide by zero encountered in true_divide\n", " psd2 = (2.88e-48 / ((2.0*np.pi*freqVec)**4.0) + 5.52e-41) / r\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#注意: 会有除0警告,可以忽略\n", "freqVec = np.linspace(0, 1, int(1/freqIntrvl))\n", "#构建频率序列(必须等频率间隔),这里我们开始于0Hz(必须开始于0,否则导入pyCBC的结果不对), 结束于1Hz,频率间隔为上面的freqIntrvl\n", "\n", "#LISA PSD 模拟函数\n", "psd = LISAcalPSD1(freqVec) \n", "\n", "'''\n", "1. Babak, S., Fang, H., Gair, J. R., Glampedakis, K. & Hughes, S. A. Kludge’\n", "gravitational waveforms for a test-body orbiting a Kerr black hole. Phys.Rev. D 75, 024005 (2007).\n", "\n", "'''\n", "\n", "#构建用于pyCBC的FrequencySeries\n", "psd = FrequencySeries(psd, delta_f=freqIntrvl, epoch='', dtype=None, copy=True)\n", "\n", "#绘制 频率 - sqrt(PSD) 图 \n", "plt.figure()\n", "plt.loglog(psd.sample_frequencies, np.sqrt(psd), label = 'LISA-psd')\n", "plt.xlim(1e-5,1e0)\n", "plt.ylim(1e-21,1e-15)\n", "plt.xlabel(\"Frequency / Hz\")\n", "plt.ylabel(\"$\\sqrt{S_{n}(f) \\ / \\ (Hz^{-1})}$\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 波形" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1476625038.050125 4.925490947641268\n" ] } ], "source": [ "# Parameters\n", "\n", "atilde = 0.9 # 自旋参量\n", "nu = 1e-05 # 质量比\n", "M = (1e6 * const.M_sun).to(u.kg).value #the mass of system, kilogram\n", "# m = (1e1 * const.M_sun).to(u.kg).value #the mass of small compact body, kilogram\n", "\n", "l = np.arange(2,3) \n", "m = 2\n", "k = np.arange(-2,12,1) #the nth harmonic\n", "\n", "\n", "########################\n", "R_unit = (G * M / C**2)# #the unit length in G = C = 1 system, metre\n", "t_unit = R_unit / C # #the unit time in G = C = 1 system, second\n", "print(R_unit, t_unit)\n", "########################\n", "\n", "e = 0.5 #eccentricity of orbit\n", "p = 12 * R_unit #semi-latus rectum\n", "\n", "a = p / (1 - e**2) #the semi-major axis of orbit, metre\n", "\n", "D = (1.00 * u.Gpc).to('m').value\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "import time\n", "a1 = time.time()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "evolution finished, cost 0.007s\n", "omega_mk finished, cost21.160s\n", "hlmk finished, cost 9.979s\n", "用时31.344860s\n" ] } ], "source": [ "# # Time Vector \n", "# tb = 17542 * t_unit #17542 * t_unit #end time, second\n", "# step = t_unit #step\n", "\n", "step = sampIntrvl\n", "\n", "wave = teukolsky(atilde = atilde, nu = nu, M = M, l = l, k = k, e = e, a = a, D = D)\n", "wave.ecalculate(duration = duration, delta_t = step)\n", "\n", "# h_plus_Vec = wave.hplus # h_plus of gravitational-wave\n", "# h_cross_Vec = wave.hcross # h_cross of gravitational-wave\n", "\n", "\n", "hp, hc = get_td_waveform(template=wave)\n", "b1 = time.time()\n", "print(\"用时%fs\"%(b1-a1))" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "用时0.051968s\n" ] } ], "source": [ "a1 = time.time()\n", "\n", "lambda_g = (1.6e13 * u.km).to('m').value#the compton wavelength of graviton\n", "wave.eadd_dispersion(lambda_g)\n", "hpd, hcd = get_td_waveform(template=wave)\n", "\n", "b1 = time.time()\n", "print(\"用时%fs\"%(b1-a1))" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#绘制波形图 \n", "plt.figure()\n", "plt.plot(hp.sample_times, hp, label = '$h_{+}$')\n", "plt.plot(hp.sample_times, hc, label = '$h_{\\\\times}$')\n", "plt.xlim(0,8e3)\n", "# plt.ylim(- 2e-22,2e-22)\n", "plt.xlabel(\"Time / s\")\n", "plt.ylabel(\"$Strain$\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#绘制 波形图 \n", "plt.figure()\n", "plt.plot(hpd.sample_times, hpd, label = '$h_{+}$')\n", "plt.plot(hpd.sample_times, hcd, label = '$h_{\\\\times}$')\n", "plt.xlim(0,8e3)\n", "# plt.ylim(- 2e-22,2e-22)\n", "plt.xlabel(\"Time / s\")\n", "plt.ylabel(\"$Strain$\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# match and overlap" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-0.158179369702169" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "overlap = overlap_func(hc, hcd, psd, sampIntrvl, f_min , f_max)\n", "overlap" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.4724528287258038" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "match = match_func(hc, hcd, psd, sampIntrvl, f_min , f_max)\n", "match" ] } ], "metadata": { "hide_input": false, "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": "3.7.0" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": false, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 2 }