Data analysis of gravitational-wave signals from spinning neutron stars. III. Detection statistics and computational requirements

TL;DR

This paper develops analytical and numerical tools for detecting gravitational waves from spinning neutron stars, focusing on statistical detection methods, computational efficiency, and parameter estimation algorithms.

Contribution

It introduces new formulas and algorithms for detection statistics, false alarm probabilities, and computational requirements in gravitational-wave data analysis for spinning neutron stars.

Findings

Derived formulas for false alarm and detection probabilities.

Assessed computational requirements for signal searches.

Validated methods through Monte Carlo simulations.

Abstract

We develop the analytic and numerical tools for data analysis of the gravitational-wave signals from spinning neutron stars for ground-based laser interferometric detectors. We study in detail the statistical properties of the optimum functional that need to be calculated in order to detect the gravitational-wave signal from a spinning neutron star and estimate its parameters. We derive formulae for false alarm and detection probabilities both for the optimal and the suboptimal filters. We assess the computational requirements needed to do the signal search. We compare a number of criteria to build sufficiently accurate templates for our data analysis scheme. We verify the validity of our concepts and formulae by means of the Monte Carlo simulations. We present algorithms by which one can estimate the parameters of the continuous signals accurately.