Basic Data Processing of Gravitational Waves

TL;DR

This paper offers a detailed overview of gravitational wave data processing, covering signal generation, noise modeling, detection methods, and optimization techniques, with practical MATLAB implementations for researchers.

Contribution

It provides a comprehensive guide combining theoretical concepts with practical MATLAB tools for gravitational wave data analysis.

Findings

Analysis of colored Gaussian noise impacts on detectors

Implementation of GLRT for signal detection

Application of Particle Swarm Optimization for signal estimation

Abstract

This paper provides a comprehensive guide to gravitational wave data processing, with a particular focus on signal generation, noise modeling, and optimization techniques. Beginning with an introduction to gravitational waves and the detection techniques used by LIGO and Virgo, the manual covers the essentials of signal processing, including Fourier analysis, filtering, and the generation of quadratic chirp signals. The analysis of colored Gaussian noise and its impact on interferometric detectors like LIGO is explored in detail, alongside signal detection methods such as the Generalized Likelihood Ratio Test (GLRT). The paper also delves into optimization techniques like Particle Swarm Optimization (PSO), which can be applied to improve signal estimation accuracy. By providing MATLAB-based implementations, this manual serves as both a theoretical and practical resource for researchers in the field of gravitational wave astronomy.