The use of new coordinates for the template space in hierarchical search for gravitational waves from inspiraling binaries

TL;DR

This paper introduces new coordinate systems for hierarchical searches in gravitational wave data analysis, significantly reducing computational costs and improving detection efficiency for inspiraling binary signals.

Contribution

It proposes novel coordinate parameterizations for template space, enabling more efficient two-step searches and better integration of chi-squared tests in gravitational wave detection.

Findings

Reduced computational cost for hierarchical searches

Enhanced efficiency of two-step search techniques

Improved integration of chi-squared detection criteria

Abstract

We discuss a method to analyze data from interferometric gravitational wave detectors focusing on the technique of hierarchical search to detect gravitational waves from inspiraling binaries. For this purpose, we propose new coordinates to parameterize the template space. Using our new coordinates, we develop several new techniques for two step search, which would reduce the computation cost by large amount. These techniques become more important when we need to implement a $\chi^2$-test as a detection criterion.