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Frequency-domain P-approximant filters for time-truncated inspiral gravitational wave signals from compact binaries

Thibault Damour·Bala R. Iyer·B. S. Sathyaprakash
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Abstract

Frequency-domain filters for time-windowed gravitational waves from inspiralling compact binaries are constructed which combine the excellent performance of our previously developed time-domain P-approximants with the analytic convenience of the stationary phase approximation without a serious loss in event rate. These Fourier-domain representations incorporate the ``edge oscillations'' due to the (assumed) abrupt shut-off of the time-domain signal caused by the relativistic plunge at the last stable orbit. These new analytic approximations, the SPP-approximants, are not only `effectual' for detection and `faithful' for parameter estimation, but are also computationally inexpensive to generate (and are `faster' by factors up to 10, as compared to the corresponding time-domain templates). The SPP approximants should provide data analysts the Fourier-domain templates for massive black hole binaries of total mass m less than about 40 solar mases, the most likely sources for LIGO and VIRGO.

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Thibault Damour, Bala R. Iyer, B. S. Sathyaprakash. 2000-05-10. Frequency-domain P-approximant filters for time-truncated inspiral gravitational wave signals from compact binaries. https://doi.org/10.1103/physrevd.62.084036

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