Fourier transform of the continuous gravitational wave signal

Research output: Contribution to journal › Article › Research › peer review

Authors

  • S. R. Valluri
  • V Dergachev
  • X. Zhang
  • F. A. Chishtie

Research Organisations

External Research Organisations

  • The University of Western Ontario
  • Western University
  • Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
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Details

Original languageEnglish
Article number024065
JournalPhysical Review D
Volume104
Issue number2
Publication statusPublished - 26 Jul 2021

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.

ASJC Scopus subject areas

Cite this

Fourier transform of the continuous gravitational wave signal. / Valluri, S. R.; Dergachev, V; Zhang, X. et al.
In: Physical Review D, Vol. 104, No. 2, 024065, 26.07.2021.

Research output: Contribution to journal › Article › Research › peer review

Valluri, SR, Dergachev, V, Zhang, X & Chishtie, FA 2021, 'Fourier transform of the continuous gravitational wave signal', Physical Review D, vol. 104, no. 2, 024065. https://doi.org/10.1103/PhysRevD.104.024065
Valluri, S. R., Dergachev, V., Zhang, X., & Chishtie, F. A. (2021). Fourier transform of the continuous gravitational wave signal. Physical Review D, 104(2), Article 024065. https://doi.org/10.1103/PhysRevD.104.024065
Valluri SR, Dergachev V, Zhang X, Chishtie FA. Fourier transform of the continuous gravitational wave signal. Physical Review D. 2021 Jul 26;104(2):024065. doi: 10.1103/PhysRevD.104.024065
Valluri, S. R. ; Dergachev, V ; Zhang, X. et al. / Fourier transform of the continuous gravitational wave signal. In: Physical Review D. 2021 ; Vol. 104, No. 2.
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