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

22 Nov 2016  ·  Lin Chen-Yun, Su Li, Wu Hau-tieng ·

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. read more

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Data Analysis, Statistics and Probability Sound Numerical Analysis