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Conference Paper

Template-based searches for gravitational waves: efficient lattice covering of flat parameter spaces

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Prix,  Reinhard
Observational Relativity and Cosmology, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

cqg7_19_s11.pdf
(Publisher version), 183KB

0707.0428v1.pdf
(Preprint), 203KB

Supplementary Material (public)
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Citation

Prix, R. (2007). Template-based searches for gravitational waves: efficient lattice covering of flat parameter spaces. Classical and Quantum Gravity, 24(19 Sp. Iss. Sp. Iss. SI), S481-S490.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-47C0-7
Abstract
The construction of optimal template banks for matched-filtering searches is an example of the sphere covering problem. For parameter spaces with constant-coefficient metrics a (near-) optimal template bank is achieved by the A_n* lattice, which is the best lattice-covering in dimensions n <= 5, and is close to the best covering known for dimensions n <= 16. Generally this provides a substantially more efficient covering than the simpler hyper-cubic lattice. We present an algorithm for generating lattice template banks for constant-coefficient metrics and we illustrate its implementation by generating A_n* template banks in n=2,3,4 dimensions.