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Journal ArticleDOI

Digital Bispectral Analysis and Its Applications to Nonlinear Wave Interactions

TLDR
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.
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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Citations
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Journal ArticleDOI

Event-related EEG/MEG synchronization and desynchronization: basic principles.

TL;DR: Quantification of ERD/ERS in time and space is demonstrated on data from a number of movement experiments, whereby either the same or different locations on the scalp can display ERD and ERS simultaneously.
Journal ArticleDOI

Condition monitoring and fault detection of wind turbines and related algorithms: A review

TL;DR: In this article, the authors reviewed different techniques, methodologies and algorithms developed to monitor the performance of wind turbine as well as for an early fault detection to keep away the wind turbines from catastrophic conditions due to sudden breakdowns.
Book

Waves in Oceanic and Coastal Waters

TL;DR: The SWAN wave model as discussed by the authors is a wave model based on linear wave theory (SWAN) for oceanic and coastal waters, and it has been shown to be effective in detecting ocean waves.
Journal Article

Event-related EEG/MEG synchronization and desynchronization: Basic principles

TL;DR: In this article, an internally or externally paced event results not only in the generation of an ERP but also in a change in the ongoing EEG/MEG in form of an event-related desynchronization (ERD) or eventrelated synchronization (ERS).
Journal ArticleDOI

Identification of nonminimum phase systems using higher order statistics

TL;DR: The authors model a finite-dimensional system as an ARMA (autoregressive moving-average) rational function of known orders, but the special cases of AR, MA, and all-pass models are also considered.
References
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Journal ArticleDOI

On the use of windows for harmonic analysis with the discrete Fourier transform

F.J. Harris
TL;DR: A comprehensive catalog of data windows along with their significant performance parameters from which the different windows can be compared is included, and an example demonstrates the use and value of windows to resolve closely spaced harmonic signals characterized by large differences in amplitude.
Journal ArticleDOI

The application of the discrete Fourier transform in the estimation of power spectra, coherence, and bispectra of geophysical data

M. J. Hinich, +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

Digital bispectral analysis of self-excited fluctuation spectra

Y. C. Kim, +1 more
- 01 Aug 1978 - 
TL;DR: 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.
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.
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