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Comparison between time-domain and frequency-domain Bayesian inferences to inspiral-merger-ringdown gravitational-wave signals

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arxiv 2401.13997 v1 pith:NKV7YWJR submitted 2024-01-25 gr-qc

classification gr-qc
keywords methodbayesiandurationfrequency-domainshouldtime-domainadditionanalysis
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Time-domain (TD) Bayesian inference is important in ringdown analysis for gravitational wave (GW) astronomy. The validity of this method has been well studied by Isi and Farr [1]. Using GW190521 as an example, we study the TD method in detail by comparing it with the frequency-domain (FD) method as a complement to previous study. We argue that the autocovariance function (ACF) should be calculated from the inverse fast Fourier transform of the power spectral density (PSD), which is usually estimated by the Welch method. In addition, the total duration of the GW data that are used to estimate the PSD and the slice duration of the truncated ACF should be long enough. Only when these conditions are fully satisfied can the TD method be considered sufficiently equivalent to the FD method.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Detection of a Higher Harmonic Quasi-normal Mode in the Ringdown Signal of GW231123

    gr-qc 2025-09 conditional novelty 6.0 of 10

    The ringdown of GW231123 contains a detectable 200 quasinormal mode in addition to the fundamental 220 mode, with log10 Bayes factor 5.3, and the inferred remnant mass and spin agree with general relativity.

  2. Progress toward the detection of the gravitational-wave background from stellar-mass binary black holes: a mock data challenge

    gr-qc 2025-06 conditional novelty 6.0 of 10

    A mock data challenge shows that a phase-coherent search for the binary black hole background can recover injected signal fractions in realistic noise, using new treatments of noise uncertainty, finite-duration effect...

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