Fourier transform of the continuous gravitational wave signal

Valluri, S. R.; Dergachev, V.; Zhang, X.; Chishtie, F. A.

doi:10.1103/PhysRevD.104.024065

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Fourier transform of the continuous gravitational wave signal

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Dergachev, V.
Searching for Continuous Gravitational Waves, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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2010.13647.pdf
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PhysRevD.104.024065.pdf
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Citation

Valluri, S. R., Dergachev, V., Zhang, X., & Chishtie, F. A. (2021). Fourier transform of the continuous gravitational wave signal. Physical Review D, 104(2): 024065. doi:10.1103/PhysRevD.104.024065.

Cite as: https://hdl.handle.net/21.11116/0000-0007-6004-8

Abstract

The direct detection of continuous gravitational waves from pulsars is a much
anticipated discovery in the emerging field of multi-messenger 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.