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September 16, 2025 01:23
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lisa_psd_filter_approx.ipynb
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| { | |
| "nbformat": 4, | |
| "nbformat_minor": 0, | |
| "metadata": { | |
| "colab": { | |
| "provenance": [], | |
| "authorship_tag": "ABX9TyMQENwS5c1DaImlFKRe64iQ", | |
| "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/gist/avivajpeyi/ff6493476a5f481912a0b28565b370ae/lisa_psd_filter_approx.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/", | |
| "height": 1000 | |
| }, | |
| "id": "deDX8LI9G655", | |
| "outputId": "fc44947c-2695-4b02-b484-1d8ee3ae017a" | |
| }, | |
| "outputs": [ | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 1500x1000 with 4 Axes>" | |
| ], | |
| "image/png": 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| |
| }, | |
| "metadata": {} | |
| } | |
| ], | |
| "source": [ | |
| "import numpy as np\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "\n", | |
| "def testmass_psd(freq, asd=2.4e-15, fknee=4e-4, central_freq=2.81e14,\n", | |
| " duration=365.25*24*3600, fs=0.5, filter_approx=True):\n", | |
| " \"\"\"\n", | |
| " Test mass noise PSD in TMI carrier beatnote fluctuations.\n", | |
| "\n", | |
| " Args:\n", | |
| " freq (array): frequencies [Hz]\n", | |
| " asd (float): test mass acceleration noise ASD [m/s^2/√Hz]\n", | |
| " fknee (float): knee frequency [Hz]\n", | |
| " central_freq (float): laser central frequency [Hz]\n", | |
| " duration (float): observation duration [s]\n", | |
| " fs (float): sampling frequency [Hz]\n", | |
| " filter_approx (bool): if True, include filtering effects\n", | |
| "\n", | |
| " Returns:\n", | |
| " array: noise PSD [Hz²/Hz]\n", | |
| " \"\"\"\n", | |
| " c = 299792458 # speed of light [m/s]\n", | |
| "\n", | |
| " if not filter_approx:\n", | |
| " # Ideal case without filtering effects\n", | |
| " psd_acc = asd**2 * (1 + (fknee / freq) ** 2)\n", | |
| " psd_hertz = (2 * central_freq / (2 * np.pi * c * freq)) ** 2 * psd_acc\n", | |
| " return psd_hertz\n", | |
| "\n", | |
| " else:\n", | |
| " # With filtering approximation\n", | |
| " fmin = 1.0 / duration\n", | |
| "\n", | |
| " # High frequency component\n", | |
| " psd_highfreq = (\n", | |
| " (2 * asd * central_freq / (2 * np.pi * c)) ** 2\n", | |
| " * np.abs(\n", | |
| " (2 * np.pi * fmin)\n", | |
| " / (1 - np.exp(-2 * np.pi * fmin / fs) * np.exp(-2j * np.pi * freq / fs))\n", | |
| " ) ** 2\n", | |
| " * 1 / (fs * fmin) ** 2\n", | |
| " )\n", | |
| "\n", | |
| " # Low frequency component\n", | |
| " psd_lowfreq = (\n", | |
| " (2 * asd * central_freq * fknee / (2 * np.pi * c)) ** 2\n", | |
| " * np.abs(\n", | |
| " (2 * np.pi * fmin)\n", | |
| " / (1 - np.exp(-2 * np.pi * fmin / fs) * np.exp(-2j * np.pi * freq / fs))\n", | |
| " ) ** 2\n", | |
| " * 1 / (fs * fmin) ** 2\n", | |
| " * np.abs(1 / (1 - np.exp(-2j * np.pi * freq / fs))) ** 2\n", | |
| " * (2 * np.pi / fs) ** 2\n", | |
| " )\n", | |
| "\n", | |
| " return psd_lowfreq + psd_highfreq\n", | |
| "\n", | |
| "def oms_psd(freq, asd=7.9e-12, fknee=2e-3, central_freq=2.81e14,\n", | |
| " duration=365.25*24*3600, fs=0.5, filter_approx=True):\n", | |
| " \"\"\"\n", | |
| " OMS noise PSD in ISI carrier beatnote fluctuations.\n", | |
| "\n", | |
| " Args:\n", | |
| " freq (array): frequencies [Hz]\n", | |
| " asd (float): OMS displacement noise ASD [m/√Hz]\n", | |
| " fknee (float): knee frequency [Hz]\n", | |
| " central_freq (float): laser central frequency [Hz]\n", | |
| " duration (float): observation duration [s]\n", | |
| " fs (float): sampling frequency [Hz]\n", | |
| " filter_approx (bool): if True, include filtering effects\n", | |
| "\n", | |
| " Returns:\n", | |
| " array: noise PSD [Hz²/Hz]\n", | |
| " \"\"\"\n", | |
| " c = 299792458 # speed of light [m/s]\n", | |
| "\n", | |
| " if not filter_approx:\n", | |
| " # Ideal case without filtering effects\n", | |
| " psd_meters = asd**2 * (1 + (fknee / freq) ** 4)\n", | |
| " psd_hertz = (2 * np.pi * freq * central_freq / c) ** 2 * psd_meters\n", | |
| " return psd_hertz\n", | |
| "\n", | |
| " else:\n", | |
| " # With filtering approximation\n", | |
| " fmin = 1.0 / duration\n", | |
| "\n", | |
| " # High frequency component\n", | |
| " psd_highfreq = (asd * fs * central_freq / c) ** 2 * np.sin(2 * np.pi * freq / fs) ** 2\n", | |
| "\n", | |
| " # Low frequency component\n", | |
| " psd_lowfreq = (\n", | |
| " (2 * np.pi * asd * central_freq * fknee**2 / c) ** 2\n", | |
| " * np.abs(\n", | |
| " (2 * np.pi * fmin)\n", | |
| " / (1 - np.exp(-2 * np.pi * fmin / fs) * np.exp(-2j * np.pi * freq / fs))\n", | |
| " ) ** 2\n", | |
| " * 1 / (fs * fmin) ** 2\n", | |
| " )\n", | |
| "\n", | |
| " return psd_highfreq + psd_lowfreq\n", | |
| "\n", | |
| "\n", | |
| "def testmass_noise_asd(freq, asd=2.4e-15, fknee=4e-4, central_freq=2.81e14,\n", | |
| " duration=365.25*24*3600, fs=0.5, filter_approx=True):\n", | |
| " \"\"\"Test mass noise ASD (square root of PSD)\"\"\"\n", | |
| " return np.sqrt(testmass_psd(freq, asd, fknee, central_freq, duration, fs, filter_approx))\n", | |
| "\n", | |
| "def oms_noise_asd(freq, asd=7.9e-12, fknee=2e-3, central_freq=2.81e14,\n", | |
| " duration=365.25*24*3600, fs=0.5, filter_approx=True):\n", | |
| " \"\"\"OMS noise ASD (square root of PSD)\"\"\"\n", | |
| " return np.sqrt(oms_psd(freq, asd, fknee, central_freq, duration, fs, filter_approx))\n", | |
| "\n", | |
| "def TM_model(freq, tm_asd=2.4e-15, tm_fknee=4e-4, central_freq=2.81e14,\n", | |
| " duration=365.25*24*3600, fs=0.5, armlength=2.5e9, filter_approx=True):\n", | |
| " \"\"\"Complete test mass noise model in TDI.\"\"\"\n", | |
| " noise_asd = testmass_noise_asd(freq, tm_asd, tm_fknee, central_freq, duration, fs, filter_approx)\n", | |
| " tf_testmass, _ = tdi_transfer_functions(freq, armlength)\n", | |
| " return tf_testmass * noise_asd\n", | |
| "\n", | |
| "def OMS_model(freq, oms_asd=7.9e-12, oms_fknee=2e-3, central_freq=2.81e14,\n", | |
| " duration=365.25*24*3600, fs=0.5, armlength=2.5e9, filter_approx=True):\n", | |
| " \"\"\"Complete OMS noise model in TDI.\"\"\"\n", | |
| " noise_asd = oms_noise_asd(freq, oms_asd, oms_fknee, central_freq, duration, fs, filter_approx)\n", | |
| " _, tf_oms = tdi_transfer_functions(freq, armlength)\n", | |
| " return tf_oms * noise_asd\n", | |
| "\n", | |
| "def Total_model(freq, tm_asd=2.4e-15, tm_fknee=4e-4, oms_asd=7.9e-12, oms_fknee=2e-3,\n", | |
| " central_freq=2.81e14, duration=365.25*24*3600, fs=0.5, armlength=2.5e9,\n", | |
| " filter_approx=True):\n", | |
| " \"\"\"Total noise model combining test mass and OMS noise in TDI.\"\"\"\n", | |
| " tm_model = TM_model(freq, tm_asd, tm_fknee, central_freq, duration, fs, armlength, filter_approx)\n", | |
| " oms_model = OMS_model(freq, oms_asd, oms_fknee, central_freq, duration, fs, armlength, filter_approx)\n", | |
| " return np.sqrt(tm_model**2 + oms_model**2)\n", | |
| "\n", | |
| "\n", | |
| "\n", | |
| "# Generate frequency array\n", | |
| "freq = np.logspace(-5, -0.1, 1000)\n", | |
| "\n", | |
| "# Calculate both versions\n", | |
| "tm_ideal = testmass_noise_asd(freq, filter_approx=False)\n", | |
| "tm_filtered = testmass_noise_asd(freq, filter_approx=True)\n", | |
| "oms_ideal = oms_noise_asd(freq, filter_approx=False)\n", | |
| "oms_filtered = oms_noise_asd(freq, filter_approx=True)\n", | |
| "\n", | |
| "# Plot comparison\n", | |
| "fig, axes = plt.subplots(2, 2, figsize=(15, 10))\n", | |
| "\n", | |
| "# Test mass\n", | |
| "axes[0,0].loglog(freq, tm_ideal, 'b-', label='Ideal', lw=2)\n", | |
| "axes[0,0].loglog(freq, tm_filtered, 'r--', label='Filtered', lw=2)\n", | |
| "axes[0,0].set_ylabel('TM ASD [Hz/√Hz]')\n", | |
| "axes[0,0].set_title('Test Mass Noise')\n", | |
| "axes[0,0].legend()\n", | |
| "axes[0,0].grid(True, alpha=0.3)\n", | |
| "\n", | |
| "# OMS\n", | |
| "axes[0,1].loglog(freq, oms_ideal, 'b-', label='Ideal', lw=2)\n", | |
| "axes[0,1].loglog(freq, oms_filtered, 'r--', label='Filtered', lw=2)\n", | |
| "axes[0,1].set_ylabel('OMS ASD [Hz/√Hz]')\n", | |
| "axes[0,1].set_title('OMS Noise')\n", | |
| "axes[0,1].legend()\n", | |
| "axes[0,1].grid(True, alpha=0.3)\n", | |
| "\n", | |
| "# Relative differences\n", | |
| "axes[1,0].semilogx(freq, (tm_filtered - tm_ideal) / tm_ideal)\n", | |
| "axes[1,0].set_ylabel('Relative difference')\n", | |
| "axes[1,0].set_xlabel('Frequency [Hz]')\n", | |
| "axes[1,0].set_title('TM: (filtered - ideal) / ideal')\n", | |
| "axes[1,0].grid(True, alpha=0.3)\n", | |
| "\n", | |
| "axes[1,1].semilogx(freq, (oms_filtered - oms_ideal) / oms_ideal)\n", | |
| "axes[1,1].set_ylabel('Relative difference')\n", | |
| "axes[1,1].set_xlabel('Frequency [Hz]')\n", | |
| "axes[1,1].set_title('OMS: (filtered - ideal) / ideal')\n", | |
| "axes[1,1].grid(True, alpha=0.3)\n", | |
| "\n", | |
| "plt.tight_layout()\n", | |
| "plt.show()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [], | |
| "metadata": { | |
| "id": "1VWjVZ0BHCgs" | |
| }, | |
| "execution_count": null, | |
| "outputs": [] | |
| } | |
| ] | |
| } |
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