Wave-shape function analysis -- when cepstrum meets time-frequency analysis
Data Analysis, Statistics and Probability
2016-11-23 v2 Sound
Numerical Analysis
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.
Cite
@article{arxiv.1605.01805,
title = {Wave-shape function analysis -- when cepstrum meets time-frequency analysis},
author = {Chen-Yun Lin and Li Su and Hau-tieng Wu},
journal= {arXiv preprint arXiv:1605.01805},
year = {2016}
}