The detection of gravitational waves from coalescing compact binaries would be a computationally intensive process if a single bank of template waveforms (i.e., a one step search) is used. We present, in this paper, an alternative method which is a hierarchical search strategy involving two template banks. We show that the computational power required by such a two step search, for an on-line detection of the one parameter family of Newtonian signals, is 1/8 of that required when an on-line one step search is used. This reduction is achieved when signals having a strength of ~8.8 times the noise r.m.s. value are required to be detected with a probability of ~0.95 while allowing for not more than one false event per year on the average. We present approximate formulae for the detection probability of a signal and the false alarm probability. Our numerical results are specific to the noise power spectral density expected for the initial LIGO.
@article{bwmeta1.element.bwnjournal-article-bcpv41z2p221bwm,
author = {Mohanty, S. and Dhurandhar, S.},
title = {Gravitational waves from coalescing binaries: a hierarchical signal detection strategy},
journal = {Banach Center Publications},
volume = {38},
year = {1997},
pages = {221-233},
zbl = {0960.94010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv41z2p221bwm}
}
Mohanty, S.; Dhurandhar, S. Gravitational waves from coalescing binaries: a hierarchical signal detection strategy. Banach Center Publications, Tome 38 (1997) pp. 221-233. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv41z2p221bwm/
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