Template-based searches for gravitational waves: efficient lattice covering of flat parameter spaces
General Relativity and Quantum Cosmology
2008-11-26 v1
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.
Cite
@article{arxiv.0707.0428,
title = {Template-based searches for gravitational waves: efficient lattice covering of flat parameter spaces},
author = {Reinhard Prix},
journal= {arXiv preprint arXiv:0707.0428},
year = {2008}
}
Comments
10 pages, submitted to CQG for proceedings of GWDAW11