Kavli Affiliate: Lijing Shao
| First 5 Authors: Hai-Tian Wang, Lijing Shao, , ,
| Summary:
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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