Optimal Filters for the Detection of Continuous Gravitational Waves

TL;DR

This paper derives and analyzes two types of filters designed to detect continuous gravitational waves, optimizing signal-to-noise ratio and minimizing detection error, and examines their performance in real detection scenarios.

Contribution

It introduces and compares two optimal filter designs for continuous gravitational wave detection, focusing on their transfer functions and practical effectiveness.

Findings

Filters effectively optimize SNR and minimize detection error.

Analysis shows how filters perform in real detection schemes.

Provides transfer functions for practical implementation.

Abstract

We determine the transfer functions of two kinds of filters that can be used in the detection of continuous gravitational radiation. The first one optimizes the signal-to-noise ratio, and the second reproduces the wave with minimum error. We analyse the behaviour of these filters in connection with actual detection schemes.