Time-frequency detection algorithm for gravitational wave bursts

Details Time-frequency detection algorithm for gravitational wave bursts Time-frequency detection algorithm for gravitational wave bursts

2002-10-14

arxiv.org/abs/gr-qc/0210043v1

Phys.Rev.D66:102004,2002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages, 15 figures, to appear in PRD

Scientific paper

10.1103/PhysRevD.66.102004

An efficient algorithm is presented for the identification of short bursts of gravitational radiation in the data from broad-band interferometric detectors. The algorithm consists of three steps: pixels of the time-frequency representation of the data that have power above a fixed threshold are first identified. Clusters of such pixels that conform to a set of rules on their size and their proximity to other clusters are formed, and a final threshold is applied on the power integrated over all pixels in such clusters. Formal arguments are given to support the conjecture that this algorithm is very efficient for a wide class of signals. A precise model for the false alarm rate of this algorithm is presented, and it is shown using a number of representative numerical simulations to be accurate at the 1% level for most values of the parameters, with maximal error around 10%.

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