Optimum Placement of Post-1PN GW Chirp Templates Made Simple at any Match Level via Tanaka-Tagoshi Coordinates

TL;DR

This paper presents a straightforward method for constructing an efficient, sparse lattice of post-1PN gravitational wave templates using Tanaka-Tagoshi coordinates, ensuring minimal match constraints are met.

Contribution

It introduces a simple recipe for creating a maximally sparse template lattice in Tanaka-Tagoshi coordinates, optimizing gravitational wave search efficiency.

Findings

Efficient template placement reduces computational cost.

Maximal sparsity achieved without compromising minimal match.

Applicable to spin-free post-1PN gravitational wave signals.

Abstract

A simple recipe is given for constructing a maximally sparse regular lattice of spin-free post-1PN gravitational wave chirp templates subject to a given minimal match constraint, using Tanaka-Tagoshi coordinates.