Parameter estimation of protoneutron stars from gravitational wave signals using the Hilbert-Huang transform

TL;DR

This paper introduces a novel application of the Hilbert-Huang transform to analyze gravitational wave signals from core-collapse supernovae, enabling estimation of protoneutron star parameters with accuracy comparable to traditional methods.

Contribution

The study demonstrates the effectiveness of the Hilbert-Huang transform in extracting physical parameters of protoneutron stars from gravitational wave signals, offering a complementary analysis technique.

Findings

HHT achieves comparable accuracy to short-time Fourier transform methods.

HHT effectively extracts oscillation mode frequencies from GW signals.

Potential for improved multimessenger astrophysics analyses.

Abstract

Core-collapse supernovae (CCSNe) are potential multimessenger events detectable by current and future gravitational wave (GW) detectors. The GW signals emitted during these events are expected to provide insights into the explosion mechanism and the internal structures of neutron stars. In recent years, several studies have empirically derived the relationship between the frequencies of the GW signals originating from the oscillations of protoneutron stars (PNSs) and the physical parameters of these stars. This study applies the Hilbert-Huang transform (HHT) [Proc. R. Soc. A 454, 903 (1998)] to extract the frequencies of these modes to infer the physical properties of the PNSs. The results exhibit comparable accuracy to a short-time Fourier transform-based estimation, highlighting the potential of this approach as a complementary method for extracting physical information from GW signals of CCSNe.