Reduced basis catalogs for gravitational wave templates

Abstract

We introduce a reduced basis approach as a new paradigm for modeling, representing and searching for gravitational waves. We construct waveform catalogs for non-spinning compact binary coalescences, and we find that for accuracies of 99% and 99.999% the method generates a factor of about $10-10^5$ fewer templates than standard placement methods. The continuum of gravitational waves can be represented by a finite and comparatively compact basis. The method is robust under variations in the noise of detectors, implying that only a single catalog needs to be generated.

Minor changes in some of the phrasing to match the version as published in PRL

References in corpus (4)

• LIGO: The Laser Interferometer Gravitational-Wave Observatory
• Singular value decomposition applied to compact binary coalescence gravitational-wave signals
• Rotating stellar core-collapse waveform decompositon: a Principal Component Analysis approach
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