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