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

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