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A template-free approach for waveform extraction of gravitational wave events
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We develop a general data-driven and template-free method for the extraction of event waveforms in the presence of background noise. Recent gravitational-wave observations provide one of the significant scientific areas requiring data analysis and waveform extraction capability. We use our method to find the waveforms for the reported events from the first, second, and third LIGO observation runs (O1, O2, and O3). Using the instantaneous frequencies derived by the Hilbert transform of the extracted waveforms, we provide the physical time delays between the arrivals of gravitational waves to the detectors.
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Cited by 1 Pith paper
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Effectiveness of Stacks in the Stacked Hilbert-Huang Transform
Averaging many Hilbert spectra of noise-added trials, called sHHT, is claimed to trace rapid frequency changes more clearly than standard HHT, with an approximate bias formula that has a missing term.
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