Gravitational wave detection using multiscale chirplets

Details Gravitational wave detection using multiscale chirplets Gravitational wave detection using multiscale chirplets

2008-06-27

arxiv.org/abs/0806.4417v2

Class.Quant.Grav.25:184020,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 4 figures

Scientific paper

10.1088/0264-9381/25/18/184020

A generic `chirp' of the form h(t) = A(t) cos(phi(t)) can be closely approximated by a connected set of multiscale chirplets with quadratically-evolving phase. The problem of finding the best approximation to a given signal using chirplets can be reduced to that of finding the path of minimum cost in a weighted, directed graph, and can be solved in polynomial time via dynamic programming. For a signal embedded in noise we apply constraints on the path length to obtain a statistic for detection of chirping signals in coloured noise. In this paper we present some results from using this test to detect binary black hole coalescences in simulated LIGO noise.

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