Efficiently enclosing the compact binary parameter space by singular-value decomposition

Abstract

Gravitational-wave searches for the merger of compact binaries use matched-filtering as the method of detecting signals and estimating parameters. Such searches construct a fine mesh of filters covering a signal parameter space at high density. Previously it has been shown that singular value decomposition can reduce the effective number of filters required to search the data. Here we study how the basis provided by the singular value decomposition changes dimension as a function of template bank density. We will demonstrate that it is sufficient to use the basis provided by the singular value decomposition of a low density bank to accurately reconstruct arbitrary points within the boundaries of the template bank. Since this technique is purely numerical it may have applications to interpolating the space of numerical relativity waveforms.

5 pages, 6 figures

References in corpus (4)

• LIGO: The Laser Interferometer Gravitational-Wave Observatory
• Singular value decomposition applied to compact binary coalescence gravitational-wave signals
• Gravitational waves from inspiralling compact binaries: hexagonal template placement and its efficiency in detecting physical signals
• Template-based searches for gravitational waves: efficient lattice covering of flat parameter spaces

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