Interpolating compact binary waveforms using the singular value decomposition

Kipp Cannon, Chad Hanna, Drew Keppel

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

Compact binary systems with total masses between tens and hundreds of solar masses will produce gravitational waves during their merger phase that are detectable by second-generation ground-based gravitational-wave detectors. In order to model the gravitational waveform of the merger epoch of compact binary coalescence, the full Einstein equations must be solved numerically for the entire mass and spin parameter space. However, this is computationally expensive. Several models have been proposed to interpolate the results of numerical relativity simulations. In this paper we propose a numerical interpolation scheme that stems from the singular value decomposition. This algorithm shows promise in allowing one to construct arbitrary waveforms within a certain parameter space given a sufficient density of numerical simulations covering the same parameter space. We also investigate how similar approaches could be used to interpolate waveforms in the context of parameter estimation.

Original languageEnglish (US)
Article number081504
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume85
Issue number8
DOIs
StatePublished - Apr 18 2012

All Science Journal Classification (ASJC) codes

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

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