Efficiently enclosing the compact binary parameter space by singular-value decomposition
- Creators
- Cannon, Kipp
- Hanna, Chad
- Keppel, Drew
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.
Additional Information
© 2011 American Physical Society. Received 27 January 2011; published 4 October 2011. The authors would like to acknowledge the support of the LIGO Lab, NSF Grants No. PHY-0653653 and No. PHY-0601459, and the David and Barbara Groce Fund at Caltech. LIGO was constructed by the California Institute of Technology and the Massachusetts Institute of Technology with funding from the National Science Foundation and operates under cooperative agreement No. PHY-0757058. Research at Perimeter Institute is supported through Industry Canada and by the Province of Ontario through the Ministry of Research and Innovation. K. C. was supported by the National Science and Engineering Research Council, Canada. D. K. was supported in part from the Max Planck Gesellschaft. This work has LIGO document No. LIGO-P1000039.Attached Files
Published - Cannon2011p16274Phys_Rev_D.pdf
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Additional details
- Eprint ID
- 27908
- Resolver ID
- CaltechAUTHORS:20111122-093859931
- LIGO Laboratory
- PHY-0653653
- NSF
- PHY-0601459
- NSF
- David and Barbara Groce Fund at Caltech
- PHY-0757058
- NSF
- Industry Canada
- Province of Ontario through the Ministry of Research & Innovation
- NSF
- Engineering Research Council (Canada)
- Max-Planck-Gesellschaft
- Created
-
2011-11-22Created from EPrint's datestamp field
- Updated
-
2021-11-09Created from EPrint's last_modified field
- Other Numbering System Name
- LIGO Document No.
- Other Numbering System Identifier
- LIGO-P1000039