Wave-Shape Function Analysis: When Cepstrum Meets Time–Frequency Analysis
Publication
, Journal Article
Lin, CY; Su, L; Wu, HT
Published in: Journal of Fourier Analysis and Applications
April 1, 2018
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.
Duke Scholars
Published In
Journal of Fourier Analysis and Applications
DOI
ISSN
1069-5869
Publication Date
April 1, 2018
Volume
24
Issue
2
Start / End Page
451 / 505
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Lin, C. Y., Su, L., & Wu, H. T. (2018). Wave-Shape Function Analysis: When Cepstrum Meets Time–Frequency Analysis. Journal of Fourier Analysis and Applications, 24(2), 451–505. https://doi.org/10.1007/s00041-017-9523-0
Lin, C. Y., L. Su, and H. T. Wu. “Wave-Shape Function Analysis: When Cepstrum Meets Time–Frequency Analysis.” Journal of Fourier Analysis and Applications 24, no. 2 (April 1, 2018): 451–505. https://doi.org/10.1007/s00041-017-9523-0.
Lin CY, Su L, Wu HT. Wave-Shape Function Analysis: When Cepstrum Meets Time–Frequency Analysis. Journal of Fourier Analysis and Applications. 2018 Apr 1;24(2):451–505.
Lin, C. Y., et al. “Wave-Shape Function Analysis: When Cepstrum Meets Time–Frequency Analysis.” Journal of Fourier Analysis and Applications, vol. 24, no. 2, Apr. 2018, pp. 451–505. Scopus, doi:10.1007/s00041-017-9523-0.
Lin CY, Su L, Wu HT. Wave-Shape Function Analysis: When Cepstrum Meets Time–Frequency Analysis. Journal of Fourier Analysis and Applications. 2018 Apr 1;24(2):451–505.
Published In
Journal of Fourier Analysis and Applications
DOI
ISSN
1069-5869
Publication Date
April 1, 2018
Volume
24
Issue
2
Start / End Page
451 / 505
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics