Wave-Shape Function Analysis: When Cepstrum Meets Time–Frequency Analysis

Journal Article (Journal Article)

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.

Full Text

Duke Authors

Cited Authors

  • Lin, CY; Su, L; Wu, HT

Published Date

  • April 1, 2018

Published In

Volume / Issue

  • 24 / 2

Start / End Page

  • 451 - 505

International Standard Serial Number (ISSN)

  • 1069-5869

Digital Object Identifier (DOI)

  • 10.1007/s00041-017-9523-0

Citation Source

  • Scopus