Year: 2025
Type: article
Abstract: The Hilbert-Huang transform (HHT) consists of empirical mode decomposition (EMD), which is a template-free method that represents the combination of different intrinsic modes on a time-frequency map (i.e., the Hilbert spectrum). The application of HHT involves introducing trials by imposing white noise on the signal and then calculating the ensemble mean process of the corresponding EMD to demonstrate its significance on the Hilbert spectrum. In this study, we develop a stacked Hilbert-Huang Transform (sHHT) method that generates the Hilbert spectrum for each trial and compiles all results to enhance the strength of the real instantaneous frequency of the main signal on the time-frequency map. This new approach is more sensitive to detecting/tracing the nonlinear and transient features of a signal embedded in astronomical databases than the conventional HHT, particularly when the signal experiences dramatic frequency changes in a short time. We analytically investigate the consistency of HHT and sHHT and perform numerical simulations to examine the dispersion of the instantaneous frequency obtained through sHHT and compare its advantages and effectiveness with those of conventional HHT. To confirm the feasibility of the sHHT, we demonstrate its application in verifying the signal of superorbital modulation in X-ray and binary black hole mergers in gravitational waves.
DOI: 10.1103/jtc1-3cp2
Authors: Lupin Chun-Che Lin, Chin-Ping Hu, Chien-Chang Yen, Kuo-Chuan Pan, C. Y. Hui, Kwan-Lok Li, Yu-Chiung Lin, Yi-Sheng Huang, Albert K. H. Kong
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
Funders: National Science and Technology Council, National Science Foundation, Ministry of Education, Ministry of Education, Culture, Sports, Science and Technology, Academia Sinica, Chungnam National University, National Research Foundation of Korea, Max-Planck-Gesellschaft, Centre National de la Recherche Scientifique, Ministry of Science and ICT, South Korea, Science and Technology Facilities Council, Australian Research Council, Japan Society for the Promotion of Science, Instituto Nazionale di Fisica Nucleare
Awards: Mapping the Extreme Universe with Multi-Messenger Observations( III ), G2454321696, G3762891108, G4188389631, Exploring the Nature of Transient and Quasi-Periodic Phenomena in the Universe with Advanced Algorithm, State Transformation on Time Series with Application and Its Mathematical Models, Application of Sparse Fast Fourier Transform for Self-Gravitational Force Calculation Based on Adaptive Mesh Refinement, G804014234
OpenAlex ID: W4410893291