[gr-qc/0404096] How Many Templates for GW Chirp Detection? The Minimal-Match Issue Revisited

Authors: R. P. Croce, Th. Demma, M. Longo, S. Marano, V. Matta, V. Pierro, I. M. Pinto

Date: Sat, 24 Apr 2004

Ref: Class. Quant. Grav. 21, 4955 (2004)

Abstract: In a recent paper dealing with maximum likelihood detection of gravitational wave chirps from coalescing binaries with unknown parameters we introduced an accurate representation of the no-signal cumulative distribution of the supremum of the whole correlator bank. This result can be used to derive a refined estimate of the number of templates yielding the best tradeoff between detector's performance (in terms of lost signals among those potentially detectable) and computational burden.

Notes: ``On the basis of the above findings, the following conclusions can be drawn: […] increasing the number of templates beyond a critical value corresponding to the knee-point in the curve of [MM vs. number of templates] does not produce a sensible increase in the detectable fraction of potentially observable sources, at the expense of a marked growth of computational load. On the other hand, using the presently most accurate available representation of the no-signal cumulative distribution of the (whole-bank) detection statistic to compute the threshold results in a sizeable increase (~ 5%) in the detectable fraction of potentially observable sources over the naive MMˆ3 estimate. Both findings above support the current trend toward the use of hierarchical search strategies for best tradeoff between detector’s performance and computational burden.''

abs pdf

Feb 15, 2005

0404096 (/preprints/gr-qc)
2005-02-15, 12:25 [edit]

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