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.
@article{arxiv.0806.4417,
title = {Gravitational wave detection using multiscale chirplets},
author = {Emmanuel J. Candès and Philip R. Charlton and Hannes Helgason},
journal= {arXiv preprint arXiv:0806.4417},
year = {2008}
}