Details
Originalsprache | Englisch |
---|---|
Aufsatznummer | 024065 |
Fachzeitschrift | Physical Review D |
Jahrgang | 104 |
Ausgabenummer | 2 |
Publikationsstatus | Veröffentlicht - 26 Juli 2021 |
Abstract
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Physik und Astronomie (sonstige)
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in: Physical Review D, Jahrgang 104, Nr. 2, 024065, 26.07.2021.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Fourier transform of the continuous gravitational wave signal
AU - Valluri, S. R.
AU - Dergachev, V
AU - Zhang, X.
AU - Chishtie, F. A.
N1 - Funding Information: S. R. V. would like to acknowledge The Natural Sciences and Engineering Research Council of Canada (NSERC) for a Discovery Grant during the course of this work. We would also like to thank Sheel Patel for a thorough proofread of the paper.
PY - 2021/7/26
Y1 - 2021/7/26
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85111963241&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.104.024065
DO - 10.1103/PhysRevD.104.024065
M3 - Article
VL - 104
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 2
M1 - 024065
ER -