English

Reduced basis catalogs for gravitational wave templates

General Relativity and Quantum Cosmology 2015-03-17 v2 Instrumentation and Methods for Astrophysics Data Analysis, Statistics and Probability

Abstract

We introduce a reduced basis approach as a new paradigm for modeling, representing and searching for gravitational waves. We construct waveform catalogs for non-spinning compact binary coalescences, and we find that for accuracies of 99% and 99.999% the method generates a factor of about 1010510-10^5 fewer templates than standard placement methods. The continuum of gravitational waves can be represented by a finite and comparatively compact basis. The method is robust under variations in the noise of detectors, implying that only a single catalog needs to be generated.

Keywords

Cite

@article{arxiv.1101.3765,
  title  = {Reduced basis catalogs for gravitational wave templates},
  author = {Scott E. Field and Chad R. Galley and Frank Herrmann and Jan S. Hesthaven and Evan Ochsner and Manuel Tiglio},
  journal= {arXiv preprint arXiv:1101.3765},
  year   = {2015}
}

Comments

Minor changes in some of the phrasing to match the version as published in PRL

R2 v1 2026-06-21T17:14:13.134Z