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Digital Bispectral Analysis and Its Applications to Nonlinear Wave Interactions
Abstract
The bispectrum, which is an ensemble average of a product of three spectral components, is shown to be a very useful diagnostic tool in experimental studies of nonlinear wave interactions in random media. In particular, it is shown that the bicoherence spectrum may be used to discriminate between nonlinearly coupled waves and spontaneously excited waves and to measure the fraction of wave power due to the quadratic wave coupling in a self-excited fluctuation spectrum. Practical aspects of digital bispectral analysis techniques, such as estimation and statistical variability of the estimator, are also discussed. Finally, applications of bispectral analysis techniques in the analysis and interpretation of plasma fluctuation data are described.
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Cites
On the use of windows for harmonic analysis with the discrete Fourier transform
Harris, F. J. (1978) · Proceedings of the IEEE · doi:10.1109/proc.1978.10837 · Cited by 7,326
Cited by
Event-related EEG/MEG synchronization and desynchronization: basic principles
Pfurtscheller, G., & Lopes da Silva, F. H. (1999) · Clinical Neurophysiology · doi:10.1016/s1388-2457(99)00141-8 · Cited by 7,328
Identification of nonminimum phase systems using higher order statistics
Giannakis, G. B., & Mendel, J. M. (1989) · IEEE Transactions on Acoustics, Speech, and Signal Processing · doi:10.1109/29.21704 · Cited by 485
Statistical Tools for Digital Forensics
Popescu, A. C., & Farid, H. (2004) · Lecture Notes in Computer Science · doi:10.1007/978-3-540-30114-1_10 · Cited by 447
Phase-coupling of theta–gamma EEG rhythms during short-term memory processing
Schack, B., Vath, N., Petsche, H., Geissler, H.-G., & Möller, E. (2002) · International Journal of Psychophysiology · doi:10.1016/s0167-8760(01)00199-4 · Cited by 281
Higher order statistics and neural network for tremor recognition
Jakubowski, J., Kwiatos, K., Chwaleba, A., & Osowski, S. (2002) · IEEE Transactions on Biomedical Engineering · doi:10.1109/10.979354 · Cited by 78
Metadata
- Authors
- Kim, Y. C., & Powers, E. J.
- Venue
- IEEE Transactions on Plasma Science
- Published
- 1979
- Volume
- 7
- Issue
- 2
- Pages
- 120-131
- ISSN
- 0093-3813 (ISSN-L)
- OpenAlex
- W2034693484
- Cited by
- 887
- References
- 1
- FWCI
- 1.50
- Type
- journal article
- Language
- en
- Open access
- closed
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