Gravitational waves from coalescing binaries: a hierarchical signal detection strategy

S. Mohanty; S. Dhurandhar

Banach Center Publications (1997)

  • Volume: 41, Issue: 2, page 221-233
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Mohanty, S., and Dhurandhar, S.. "Gravitational waves from coalescing binaries: a hierarchical signal detection strategy." Banach Center Publications 41.2 (1997): 221-233. <http://eudml.org/doc/252223>.

@article{Mohanty1997,
abstract = {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.},
author = {Mohanty, S., Dhurandhar, S.},
journal = {Banach Center Publications},
keywords = {detection of gravitational waves},
language = {eng},
number = {2},
pages = {221-233},
title = {Gravitational waves from coalescing binaries: a hierarchical signal detection strategy},
url = {http://eudml.org/doc/252223},
volume = {41},
year = {1997},
}

TY - JOUR
AU - Mohanty, S.
AU - Dhurandhar, S.
TI - Gravitational waves from coalescing binaries: a hierarchical signal detection strategy
JO - Banach Center Publications
PY - 1997
VL - 41
IS - 2
SP - 221
EP - 233
AB - 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.
LA - eng
KW - detection of gravitational waves
UR - http://eudml.org/doc/252223
ER -

References

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