A Comprehensive Analysis of the Gravitational Wave Events with the Hilbert-Huang Transform: From Compact Binary Coalescence to Supernova

Abstract

We analyze the gravitational wave signals with a model-independent time-frequency analysis, which is improved from the Hilbert-Huang transform (HHT) and optimized for characterizing the frequency variability on the time-frequency map. Except for the regular HHT algorithm, i.e., obtaining intrinsic mode functions with ensemble empirical mode decomposition and yielding the instantaneous frequencies, we propose an alternative algorithm that operates the ensemble mean on the time-frequency map. We systematically analyze the known gravitational wave events of the compact binary coalescence observed in LIGO O1 and O2, and in the simulated gravitational wave signals from core-collapse supernovae (CCSNe) with our method. The time-frequency maps of the binary black hole coalescence cases show much better details compared to those wavelet spectra. Moreover, the oscillation in the instantaneous frequency caused by mode-mixing could be reduced with our algorithm. For the CCSNe data, the oscillation from the proto-neutron star and the radiation from the standing accretion shock instability can be precisely determined with the HHT in great detail. More importantly, the initial stage of different modes of oscillations can be clearly separated. These results provide new hints for further establishment of the detecting algorithm, and new probes to investigate the underlying physical mechanisms.

24 pages, 26 figures, 1 table, accepted for publication in ApJ

References in corpus (13)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• Nucleosynthesis and Remnants in Massive Stars of Solar Metallicity
• An improved effective-one-body model of spinning, nonprecessing binary black holes for the era of gravitational-wave astrophysics with advanced detectors
• The LIGO Open Science Center
• The isotropic diffusion source approximation for supernova neutrino transport
• Gravitational-wave signal of a core-collapse supernova explosion of a 15 Solar mass star
• Gravitational waves from 3D MHD core collapse simulations
• Application of the Hilbert-Huang Transform to the Search for Gravitational Waves
• Tracking the Evolution of QPO in RE J1034+396 Using the Hilbert-Huang Transform
• Application of the Hilbert-Huang transform for analyzing standing-accretion-shock-instability induced gravitational waves in a core-collapse supernova
• Multi-messenger Extended Emission from the compact remnant in GW170817
• Monitoring the Superorbital Period Variation and the Spin Period Evolution of SMC X-1

Cited by in corpus (6)

• A Phase-resolved View of the Low-frequency Quasiperiodic Oscillations from the Black Hole Binary MAXI J1820+070
• Blind source separation in 3rd generation gravitational-wave detectors
• Monitoring observations of SMC X-1's excursions (MOOSE)-II: A new excursion accompanies spin-up acceleration
• Effects of multidimensional treatment of gravity in simulations on supernova gravitational waves
• Waveform Reconstruction of Core-Collapse Supernova Gravitational Waves with Improved Multisynchrosqueezing Transform
• Effectiveness of Stacks in the Stacked Hilbert-Huang Transform