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Last active September 18, 2025 09:43
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pycbc_noise_generation.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"provenance": [],
"authorship_tag": "ABX9TyMmNfn/REE01fFevkHsP8C9",
"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/8162c0f55a411a277d77723404d3c2cb/pycbc_noise_generation.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"id": "fz6ZST2q2KR-"
},
"outputs": [],
"source": [
"! pip install pycbc -q"
]
},
{
"cell_type": "code",
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import requests\n",
"from io import StringIO\n",
"import pycbc\n",
"from pycbc.types import FrequencySeries\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import pycbc.noise\n",
"from pycbc.types import TimeSeries\n",
"from scipy.signal.windows import tukey\n",
"\n",
"\n",
"# --- Download the ASD file from LIGO DCC ---\n",
"url = \"https://dcc.ligo.org/public/0165/T2000012/002/aligo_O3actual_H1.txt\"\n",
"response = requests.get(url)\n",
"response.raise_for_status() # ensure it downloaded properly\n",
"\n",
"# --- Parse into numpy arrays ---\n",
"data = np.loadtxt(StringIO(response.text))\n",
"freq, asd = data[:,0], data[:,1]\n",
"\n",
"# --- Convert ASD → PSD ---\n",
"psd_vals = asd**2\n",
"\n",
"# --- Wrap into PyCBC FrequencySeries ---\n",
"delta_f = freq[1] - freq[0]\n",
"psd = FrequencySeries(psd_vals, delta_f=delta_f, copy=True)\n",
"\n",
"# ---- simulate noise timeseries -----\n",
"duration = 4\n",
"fs = 4096\n",
"delta_t = 1.0 / fs\n",
"tsamples = int(4 / delta_t)\n",
"ts = pycbc.noise.noise_from_psd(tsamples, delta_t, psd, seed=127)\n",
"\n",
"\n",
"\n",
"\n",
"# --- Plot ---\n",
"plt.figure(figsize=(4, 2.5))\n",
"plt.loglog(freq, psd)\n",
"plt.xlabel(\"Frequency [Hz]\")\n",
"plt.ylabel(r\"PSD [strain$^2$/Hz]\")\n",
"plt.title(\"LIGO Hanford O3 Measured PSD\")\n",
"plt.show()\n",
"\n",
"plt.figure(figsize=(4, 2.5))\n",
"plt.plot(ts.sample_times, ts)\n",
"plt.title(\"Simulated noise timeseries\")\n",
"plt.ylabel('Strain')\n",
"plt.xlabel('Time (s)')\n",
"plt.show()\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 592
},
"id": "-xIzwr743NAV",
"outputId": "ac323cdc-bdf9-45ef-fdab-def811316da0"
},
"execution_count": 7,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 400x250 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 400x250 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import pycbc.noise\n",
"from pycbc.types import TimeSeries\n",
"from scipy.signal.windows import tukey\n",
"\n",
"# --- Parameters ---\n",
"duration = 4\n",
"fs = 4096\n",
"delta_t = 1.0 / fs\n",
"tsamples = int(duration / delta_t)\n",
"\n",
"\n",
"# Window (optional; pycbc.psd.welch applies default Hann window if not given)\n",
"window = tukey(tsamples, alpha=0.1)\n",
"\n",
"# --- Plot measured PSD ---\n",
"freq_psd = np.arange(len(psd)) * psd.delta_f\n",
"plt.figure(figsize=(8, 5))\n",
"plt.loglog(freq_psd, psd, lw=2, color=\"C0\", label=\"O3 measured H1 PSD\")\n",
"\n",
"# --- Generate multiple noise realizations and compute PSDs using pycbc.psd.welch ---\n",
"nrealizations = 10\n",
"for i in range(nrealizations):\n",
" ts_data = pycbc.noise.noise_from_psd(tsamples, delta_t, psd, seed=i)\n",
" ts = TimeSeries(ts_data, delta_t=delta_t)\n",
"\n",
" # Estimate PSD using Welch method (handles normalization/windowing correctly)\n",
" per = ts.psd(segment_duration=duration, window=window)\n",
" label = 'Simulated noise (welch PSD)' if i == 0 else ''\n",
" plt.loglog(per.sample_frequencies, per, color=\"gray\", alpha=0.2, lw=0.5, label=label)\n",
"\n",
"fmin = 20\n",
"fmax = fs/2\n",
"\n",
"plt.xlabel(\"Frequency [Hz]\")\n",
"plt.ylabel(r\"PSD [strain$^2$/Hz]\")\n",
"plt.title(\"O3 H1 PSD vs Simulated Noise\")\n",
"plt.xlim(fmin, fmax)\n",
"plt.legend()\n",
"plt.show()\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 492
},
"id": "IdBESER56UNS",
"outputId": "219b9708-d5bf-41a4-ce2d-157c50fbce85"
},
"execution_count": 9,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 800x500 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"import numpy as np\n",
"import h5py\n",
"import pycbc.noise\n",
"from pycbc.types import TimeSeries\n",
"\n",
"# --- Parameters ---\n",
"duration = 128 # seconds per realization\n",
"fs = 4096 # sampling frequency [Hz]\n",
"delta_t = 1.0 / fs\n",
"tsamples = int(duration / delta_t)\n",
"nrealizations = 100\n",
"\n",
"# --- Get PSD frequencies ---\n",
"freq_psd = np.arange(len(psd)) * psd.delta_f\n",
"\n",
"# --- Write to HDF5 ---\n",
"with h5py.File(\"noise_timeseries_100x128s.h5\", \"w\") as f:\n",
" # Noise dataset\n",
" dset = f.create_dataset(\"timeseries\",\n",
" shape=(nrealizations, tsamples),\n",
" dtype=np.float32)\n",
"\n",
" for i in range(nrealizations):\n",
" ts_data = pycbc.noise.noise_from_psd(tsamples, delta_t, psd, seed=i)\n",
" ts = TimeSeries(ts_data, delta_t=delta_t)\n",
" dset[i, :] = ts.numpy().astype(np.float32)\n",
"\n",
" # PSD & frequency datasets\n",
" f.create_dataset(\"psd\", data=psd.numpy().astype(np.float32))\n",
" f.create_dataset(\"frequencies\", data=freq_psd.astype(np.float32))\n",
"\n",
" # Metadata\n",
" f.attrs[\"fs\"] = fs\n",
" f.attrs[\"duration\"] = duration\n",
" f.attrs[\"nrealizations\"] = nrealizations\n",
" f.attrs[\"delta_t\"] = delta_t\n",
" f.attrs[\"psd_source\"] = \"https://dcc.ligo.org/public/0165/T2000012/002/aligo_O3actual_H1.txt\"\n"
],
"metadata": {
"id": "u0pjrWpsMede"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pycbc.psd\n",
"\n",
"# Frequency settings\n",
"flow = 20.0\n",
"fmax = 2048\n",
"delta_f = 1.0 / 16\n",
"flen = int(fmax / delta_f) + 1\n",
"\n",
"# Get all PSD names\n",
"available_psds = [\n",
" *pycbc.psd.analytical.get_lalsim_psd_list(),\n",
" *pycbc.psd.analytical.get_psd_model_list(),\n",
" *pycbc.psd.analytical.get_pycbc_psd_list(),\n",
"]\n",
"\n",
"# Select aLIGO + measured O1/O2/O3 PSDs\n",
"selected_psds = [\n",
" name for name in available_psds\n",
" if (\"aLIGO\" in name) or (\"LIGO\" in name and (\"O1\" in name or \"O2\" in name or \"O3\" in name))\n",
"]\n",
"\n",
"nplots = len(selected_psds)\n",
"ncols = 3\n",
"nrows = int(np.ceil(nplots / ncols))\n",
"\n",
"fig, axes = plt.subplots(nrows, ncols, figsize=(12, 1 * nrows))\n",
"axes = axes.flatten()\n",
"\n",
"for ax, psd_name in zip(axes, selected_psds):\n",
" try:\n",
" psd_func = getattr(pycbc.psd, psd_name)\n",
" psd = psd_func(flen, delta_f, flow)\n",
" freqs = np.arange(len(psd)) * delta_f\n",
"\n",
" ax.loglog(freqs, psd, color=\"C0\")\n",
" ax.text(0.05, 0.9, psd_name, transform=ax.transAxes, fontsize=9)\n",
" ax.set_xlim(flow, fmax)\n",
"\n",
" # Remove spines, ticks, labels\n",
" ax.set_xticks([])\n",
" ax.set_yticks([])\n",
" for spine in ax.spines.values():\n",
" spine.set_visible(False)\n",
"\n",
" except Exception as e:\n",
" print(f\"Could not load {psd_name}: {e}\")\n",
"\n",
"# Hide any unused subplots\n",
"for ax in axes[nplots:]:\n",
" ax.axis(\"off\")\n",
"\n",
"plt.tight_layout()\n",
"plt.show()\n"
],
"metadata": {
"id": "bgOBhg8P28KF"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"psd[1]"
],
"metadata": {
"id": "JxkKIKxH7WJP"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [],
"metadata": {
"id": "qVlCZEdz7YIz"
},
"execution_count": null,
"outputs": []
}
]
}
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