Application of the Hilbert-Huang transform for analyzing SASI induced 
gravitational waves in a core-collapse supernova

Takeda, M.; Hiranuma, Y.; Kanda, N.; Kotake, K.; Kuroda, T.; Negishi, R.; Oohara, K.; Sakai, K.; Sakai, Y.; Sawada, T.; Takahashi, H.; Tsuchida, S.; Watanabe, Y.; Yokozawa, T.

doi:10.1103/PhysRevD.104.084063

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Application of the Hilbert-Huang transform for analyzing SASI induced gravitational waves in a core-collapse supernova

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Kuroda, T.
Computational Relativistic Astrophysics, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Takeda, M., Hiranuma, Y., Kanda, N., Kotake, K., Kuroda, T., Negishi, R., et al. (2021). Application of the Hilbert-Huang transform for analyzing SASI induced gravitational waves in a core-collapse supernova. Physical Review D, 104(8): 084063. doi:10.1103/PhysRevD.104.084063.

Cite as: https://hdl.handle.net/21.11116/0000-0008-DF07-6

Abstract

Through numerical simulations, it is predicted that the gravitational waves
(GWs) reflect the characteristics of the core-collapse supernova (CCSN)
explosion mechanism. There are multiple GW excitation processes that occur
inside a star before its explosion, and it is suggested that the GWs
originating from the CCSN have a mode for each excitation process in terms of
time-frequency representation. Therefore, we propose an application of the
Hilbert-Huang Transform (HHT), which is a high-resolution time-frequency
analysis method, to analyze these GW modes for theoretically probing and
increasing our understanding of the explosion mechanism. The HHT defines
frequency as a function of time, and is not bound by the trade-off between time
and frequency resolutions. In this study, we analyze a gravitational waveform
obtained from a three-dimensional general-relativistic CCSN model that showed a
vigorous activity of the standing-accretion-shock-instability (SASI). We
succeed in extracting the SASI induced GWs with high resolution on a
time-frequency representation using the HHT and we examine their instantaneous
frequencies.