Data analysis of continuous gravitational wave: Fourier transform-I

TL;DR

This paper derives the Fourier Transform of continuous gravitational waves, analyzing one-day data while accounting for Earth's rotational and orbital motions, applicable to any detector and source location.

Contribution

It provides a comprehensive Fourier analysis method for continuous gravitational waves considering Earth's motions, applicable to arbitrary detector and source positions.

Findings

Derived the Fourier Transform for continuous gravitational waves.

Analyzed one-day observation data including Earth's motions.

Applicable to any detector and source location.

Abstract

We present the Fourier Transform of a continuous gravitational wave. We have analysed the data set for one day observation time and our analysis is applicable for arbitrary location of detector and source. We have taken into account the effects arising due to rotational as well as orbital motions of the earth.