Amplitude-based detection method for gravitational wave bursts with the Hilbert-Huang Transform

TL;DR

This paper introduces a novel gravitational wave burst detection method using the Hilbert-Huang transform, demonstrating high detection probability with low false alarm rate in simulated data, especially sensitive to the star's differential rotation.

Contribution

The paper presents a new amplitude-based detection technique utilizing the Hilbert-Huang transform for gravitational wave bursts, effective in non-linear, non-stationary data environments.

Findings

Detection probability of 0.94 in simulations

False alarm rate below 0.001 Hz

Performance influenced by star's differential rotation parameter

Abstract

We propose a new detection method for gravitational wave bursts. It analyzes observed data with the Hilbert-Huang transform, which is an approach of time-frequency analysis constructed with the aim of manipulating non-linear and non-stationary data. Using the simulated time-series noise data and waveforms from rotating core-collapse supernovae at 30 kpc, we performed simulation to evaluate the performance of our method and it revealed the total detection probability to be 0.94 without false alerms, which corresponds to the false alarm rate < 0.001 Hz. The detection probability depends on the characteristics of the waveform, but it was found that the parameter determining the degree of differential rotation of the collapsing star is the most important for the performance of our method.