Journal ArticleDOI
Digital bispectral analysis of self-excited fluctuation spectra
Y. C. Kim,E. J. Powers +1 more
TLDR
In this article, a bispectral analysis is used to distinguish between spontaneously excited modes and coupled modes in a self-excited fluctuation spectrum by measuring the degree of phase coherence between the interacting waves.Abstract:
Digitally implemented bispectral analysis is used to distinguish between spontaneously excited modes and coupled modes in a self‐excited fluctuation spectrum by measuring the degree of phase coherence between the interacting waves.read more
Citations
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Journal ArticleDOI
Bispectrum estimation: A digital signal processing framework
TL;DR: In this article, the authors place bispectrum estimation in a digital signal processing framework in order to aid engineers in grasping the utility of the available bispectral estimation techniques, and discuss application problems that can directly benefit from the use of the Bispectrum, and to motivate research in this area.
Journal ArticleDOI
Signal processing with higher-order spectra
TL;DR: The strengths and limitations of correlation-based signal processing methods, with emphasis on the bispectrum and trispectrum, and the applications of higher-order spectra in signal processing are discussed.
Journal ArticleDOI
Digital Bispectral Analysis and Its Applications to Nonlinear Wave Interactions
Young C. Kim,Edward J. Powers +1 more
TL;DR: 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.
Journal ArticleDOI
Observations of bispectra of shoaling surface gravity waves
Steve Elgar,Robert T. Guza +1 more
TL;DR: In this paper, the authors elucidated the nonlinear dynamics of waves shoaling between 9 and 1 m water depths via the bispectrum and found that the biphase values associated with significant bicoherence levels in 9 m depth are consistent with Stokes-like nonlinearities, but as the water depth decreases the waves evolve through a slightly skewed shape somewhat asymmetrical to a vertical axis toward a highly asymmetrical unskewed sawtooth shape.
Journal ArticleDOI
The cumulant theory of cyclostationary time-series. I. Foundation
TL;DR: It is established that the temporal and spectral cumulants have certain mathematical and practical advantages over their moment counterparts.
References
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Journal ArticleDOI
The application of the discrete Fourier transform in the estimation of power spectra, coherence, and bispectra of geophysical data
M. J. Hinich,C. S. Clay +1 more
TL;DR: In this article, several basic power-spectrum estimation procedures are reviewed and their statistical and mathematical properties are discussed and compared with the standard procedure that uses the cosine transform of the estimated correlation function.
Journal ArticleDOI
Bispectral measurements in turbulence
TL;DR: In this article, a bispectral analysis of high Reynolds number turbulent velocity-derivative data is carried out and it is shown that the contributions of wavenumber triplets to the rate of vorticity production and spectral transfer are non-local in the wenumber space and comparable over the whole range of wenumbers studied.
Journal ArticleDOI
Experimental determination of the spectral index of a turbulent plasma from digitally computed power spectra
D. E. Smith,E. J. Powers +1 more
TL;DR: In this paper, the spectral index of the turbulent plasma was determined by using power spectra, and the existence of a linear relationship between k and ω was verified using a linear model.