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

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arxiv 1605.01805 v2 pith:2IJ3MC7G submitted 2016-05-06 physics.data-an cs.NAcs.SDmath.NA

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

Chen-Yun Lin , Li Su , Hau-tieng Wu This is my paper
classification physics.data-an cs.NAcs.SDmath.NA
keywords analysisalgorithmcepstrumde-shapesignalsanalyzedfunctionmodel
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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