Title :
The statistics of wavelet-based bicoherence
Author :
Chung, Jaehak ; Powers, Edward J.
Author_Institution :
Dept. of Electr. & Comput. Eng., Texas Univ., Austin, TX, USA
Abstract :
The ability of classical Fourier- and wavelet-based bicoherence to detect phase coupling associated with short-time quadratic nonlinear interactions is compared. The different performance of each bicoherence arises from statistics. Since the wavelet-based bicoherence has a larger number of effective degrees of freedom (dof) than that of Fourier based bicoherence, its significant level of zero-bicoherence has a smaller value. The statistics of wavelet-based zero-level bicoherence is represented empirically for a zero-mean Gaussian random input
Keywords :
Fourier transforms; coherence; spectral analysis; statistical analysis; wavelet transforms; Fourier-based bicoherence; degrees of freedom; performance; phase coupling; short-time quadratic nonlinear interactions; statistics; wavelet-based bicoherence; zero-bicoherence; zero-mean Gaussian random input; Coherence; Continuous wavelet transforms; Couplings; Discrete Fourier transforms; Marine technology; Nonlinear equations; Ocean waves; Phase detection; Plasma waves; Statistics;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1998. Proceedings of the IEEE-SP International Symposium on
Conference_Location :
Pittsburgh, PA
Print_ISBN :
0-7803-5073-1
DOI :
10.1109/TFSA.1998.721381
