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  Interpolating compact binary waveforms using the singular value decomposition

Cannon, K., Hanna, C., & Keppel, D. (2012). Interpolating compact binary waveforms using the singular value decomposition. Physical Review D, 85: 081504. doi:10.1103/PhysRevD.85.081504.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-E95D-9 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-E95E-7
Genre: Journal Article

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1108.5618 (Preprint), 773KB
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 Creators:
Cannon, Kipp, Author
Hanna, Chad, Author
Keppel, D.1, Author              
Affiliations:
1Observational Relativity and Cosmology, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society, ou_24011              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 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.

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 Dates: 2011-08-292012
 Publication Status: Published in print
 Pages: 5
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1108.5618
DOI: 10.1103/PhysRevD.85.081504
 Degree: -

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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : Published for the American Physical Society by the American Institute of Physics
Pages: - Volume / Issue: 85 Sequence Number: 081504 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: /journals/resource/111088197762258