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arXiv · 1605.01805

Wave-shape function analysis -- when cepstrum meets time-frequency analysis

Chen-Yun Lin·Li Su·Hau-tieng Wu
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Abstract

We propose to combine cepstrum and nonlinear time-frequency (TF) analysis to study mutiple component oscillatory signals with time-varying frequency and amplitude and with time-varying non-sinusoidal oscillatory pattern. The concept of cepstrum is applied to eliminate the wave-shape function influence on the TF analysis, and we propose a new algorithm, named de-shape synchrosqueezing transform (de-shape SST). The mathematical model, adaptive non-harmonic model, is introduced and the de-shape SST algorithm is theoretically analyzed. In addition to simulated signals, several different physiological, musical and biological signals are analyzed to illustrate the proposed algorithm.

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Chen-Yun Lin, Li Su, Hau-tieng Wu. 2016-05-06. Wave-shape function analysis -- when cepstrum meets time-frequency analysis. https://arxiv.org/abs/1605.01805

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