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

Kipp Cannon, Chad Hanna, Drew Keppel

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

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.

Original languageEnglish (US)
Article number084003
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume84
Issue number8
DOIs
StatePublished - Oct 4 2011

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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