Data analysis of continuous gravitational wave: Fourier transform-II
D.C. Srivastava, S.K. Sahay
TL;DR
This paper derives the Fourier Transform of continuous gravitational waves, analyzing data over various observation times and detector locations, accounting for Earth's motion, and applying it to spin-down and multi-component signals.
Contribution
It provides a comprehensive Fourier Transform framework for continuous gravitational wave data analysis considering Earth's motion and spin-down effects.
Findings
Derived Fourier Transform expressions for continuous gravitational waves
Analyzed effects of Earth's rotation and orbit on signal detection
Applied transform to spin-down and multi-component signal analysis
Abstract
In this paper we obtain the Fourier Transform of a continuous gravitational wave. We have analysed the data set for (i) one year observation time and (ii) arbitrary observation time, for arbitrary location of detector and source taking into account the effects arising due to rotational as well as orbital motion of the earth. As an application of the transform we considered spin down and N-component signal analysis.
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