Data Analysis of Continuous Gravitational Wave Signal: Fourier Transform

TL;DR

This paper develops a comprehensive Fourier Transform method for analyzing continuous gravitational wave signals, accounting for Earth's motion, observation duration, and source spin-down effects, enhancing detection accuracy.

Contribution

It introduces a generalized Fourier Transform approach for continuous gravitational waves that includes Earth's motion and source spin-down, improving analysis precision.

Findings

Effective Fourier Transform method for arbitrary detector/source locations

Inclusion of Earth's rotational and orbital motion effects

Method to incorporate source spin-down in analysis

Abstract

We present the Fourier Transform of continuous gravitational wave for arbitrary location of detector and source and for any duration of observation time in which both rotational motion of earth about its spin axis and orbital motion around sun has been taken into account. We also give the method to account the spin down of continuous gravitational wave.