Publications [#340355] of Hau-Tieng Wu

Papers Published

1. Lin, CY; Su, L; Wu, HT, Wave-Shape Function Analysis: When Cepstrum Meets Time–Frequency Analysis, Journal of Fourier Analysis and Applications, vol. 24 no. 2 (April, 2018), pp. 451-505, Springer Nature [doi]
   (last updated on 2024/08/30)

   Abstract:
   We propose to combine cepstrum and nonlinear time–frequency (TF) analysis to study multiple 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.