LALWaveforms

A Julia package for GW waveform generation and analysis built on top of LALSuite.

Currently Implemented

• Generate time and frequency domain waveforms for a variety of waveform families.
• Compute detector response for a given detector configuration.
• Project gravitational wave polarizations onto detector strain.
• PSD estimation from strain data (Welch's method, periodogram).
• Interferometer noise modeling (quantum noise, thermal noise, suspension noise).
• Empirical PSD models for existing detectors (aLIGO, AdV, KAGRA, GEO, TAMA).
• Strain processing: filtering (Butterworth), windowing, detrending, whitening.
• Noise-weighted inner products, overlap, and mismatch.
• Matched-filter SNR, network SNR, and maximised match over time/phase offsets.
• Gaussian noise generation from PSD models.
• Q-transform spectrograms and time-frequency analysis.
• Cross-spectral density and coherence between detectors.
• Inject signals into noise and simulate complete observations.
• Time shifts via frequency-domain phase rotation.
• Plotting recipes for strain, spectra, SNR, Q-planes, and noise.

Installation

using Pkg
Pkg.add(url="https://github.com/pseudofractal/LALWaveforms.jl")

Development Environment

Nix flake provided along with the project is the recommended way to set up a development environment. To use it, you need to have Nix installed on your system.

You can enter the development environment by running:

nix develop

direnv is also recommended to automatically load the development environment when you enter the project directory.

LICENSE

MIT License. See LICENSE for details.