2004
DOI: 10.1088/0264-9381/21/20/024
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Multiresolution techniques for the detection of gravitational-wave bursts

Abstract: Abstract. We present two search algorithms that implement logarithmic tiling of the time-frequency plane in order to efficiently detect astrophysically unmodeled bursts of gravitational radiation. The first is a straightforward application of the dyadic wavelet transform. The second is a modification of the windowed Fourier transform which tiles the time-frequency plane for a specific Q. In addition, we also demonstrate adaptive whitening by linear prediction, which greatly simplifies our statistical analysis.… Show more

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Cited by 215 publications
(276 citation statements)
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“…Consequently, to search for and characterize these signals, one must presently use more general morphology-independent search techniques. Here, transient bursts of GWs can be identified in the detector output data as excess power localized in the time-frequency domain (see e.g., [38][39][40][41]) and the impinging GW waveform can be reconstructed by considering the coherent signal energy coincident in multiple detectors [42][43][44] or by projecting the data onto bases formed from representative catalogues of simulations of the un-modelled signal [45,46]. Additionally, in the case of the highfrequency GW burst following a binary neutron star coalescence, it is reasonable to assume that the time of coalescence will be known to high accuracy from the inspiral portion of the signal [47,48], thus increasing the detection confidence for the post-merger part.…”
Section: Introductionmentioning
confidence: 99%
“…Consequently, to search for and characterize these signals, one must presently use more general morphology-independent search techniques. Here, transient bursts of GWs can be identified in the detector output data as excess power localized in the time-frequency domain (see e.g., [38][39][40][41]) and the impinging GW waveform can be reconstructed by considering the coherent signal energy coincident in multiple detectors [42][43][44] or by projecting the data onto bases formed from representative catalogues of simulations of the un-modelled signal [45,46]. Additionally, in the case of the highfrequency GW burst following a binary neutron star coalescence, it is reasonable to assume that the time of coalescence will be known to high accuracy from the inspiral portion of the signal [47,48], thus increasing the detection confidence for the post-merger part.…”
Section: Introductionmentioning
confidence: 99%
“…Techniques for detection of burst-like triggers in the GW instrumental output data stream are described con-cisely in an earlier paper [15]. In general, such techniques project the data onto a basis that spans the parameter space of the burst-like signals.…”
Section: Techniques For Detecting Triggers In Ligo Datamentioning
confidence: 99%
“…The MHC pipeline implements a hierarchical algorithm [14][15][16][17][18][19] that applies a variance minimization criterion and groups together burst triggers detected by the KW [11] pipeline based on their similarity in the higher dimensional space spanned by properties like the trigger duration, frequency, snr and statistical significance.…”
Section: Multidimensional Hierarchical Classification Algorithmmentioning
confidence: 99%
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