Fourier transform of the continuous gravitational wave signal

Authors

Sree Ram Valluri, University of Western OntarioFollow
V. Dergachev
X. ZhangFollow
Farrukh Chishtie, University of Western OntarioFollow

Document Type

Article

Publication Date

2021

Journal

Physical Review D

Volume

104

First Page

024065-1

Last Page

024065-12

URL with Digital Object Identifier

https://doi.org/10.1103/PhysRevD.104.024065

Abstract

The direct detection of continuous gravitational waves from pulsars is a much anticipated discovery in the emerging field of multimessenger gravitational wave (GW) astronomy. Because putative pulsar signals are exceedingly weak large amounts of data need to be integrated to achieve desired sensitivity. Contemporary searches use ingenious ad hoc methods to reduce computational complexity. In this paper we provide analytical expressions for the Fourier transform of realistic pulsar signals. This provides description of the manifold of pulsar signals in the Fourier domain, used by many search methods. We analyze the shape of the Fourier transform and provide explicit formulas for location and size of peaks resulting from stationary frequencies. We apply our formulas to analysis of recently identified outlier at 1891.76 Hz.

Notes

This article was originally published in Physical Review D and is available at https://doi.org/10.1103/PhysRevD.104.024065

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 License.