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- Bicoherence abstract "In mathematics, in the area of statistical analysis, bicoherence is a squared normalised version of the bispectrum. The bicoherence takes values bounded between 0 and 1, which make it a convenient measure for quantifying the extent of phase coupling in a signal. It is also known as bispectral coherency. The prefix bi- in bispectrum and bicoherence refers not to two time series xt, yt but rather to two frequencies of a single signal. The bispectrum is a statistic used to search for nonlinear interactions. The Fourier transform of the second-order cumulant, i.e., the autocorrelation function, is the traditional power spectrum. The Fourier transform of C3(t1,t2) (third-order cumulant) is called bispectrum or bispectral density. They fall in the category of Higher Order Spectra, or Polyspectra and provide supplementary information to the power spectrum. The third order polyspectrum (bispectrum) is the easiest to compute, and hence the most popular.The difference with measuring coherence (coherence analysis is an extensively used method to study the correlations in frequency domain, between two simultaneously measured signals) is the need for both input and output measurements by estimating two auto-spectra and one cross spectrum. On the other hand, bicoherence is an auto-quantity, i.e. it can be computed from a single signal. The coherence function provides a quantification of deviations from linearity in the system which lies between the input and output measurement sensors. The bicoherence measures the proportion of the signal energy at any bifrequency that is quadratically phase coupled. It is usually normalized in the range similar to correlation coefficient and classical (second order) coherence. It was also used for depth of anasthesia assesement and widely in plasma physics (nonlinear energy transfer) and also for detection of gravitation waves.Bispectrum and bicoherence may be applied to the case of non-linear interactions of a continuous spectrum of propagating waves in one dimension [1]. Bicoherence measurements have been carried out for EEG signals monitoring in sleep, wakefulness and seizures.".
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- Bicoherence wikiPageWikiLink Autocorrelation.
- Bicoherence wikiPageWikiLink Awake.
- Bicoherence wikiPageWikiLink Bispectrum.
- Bicoherence wikiPageWikiLink Category:Complex_analysis.
- Bicoherence wikiPageWikiLink Category:Fourier_analysis.
- Bicoherence wikiPageWikiLink Category:Integral_transforms.
- Bicoherence wikiPageWikiLink Cumulant.
- Bicoherence wikiPageWikiLink Electroencephalography.
- Bicoherence wikiPageWikiLink Epileptic_seizure.
- Bicoherence wikiPageWikiLink Fourier_transform.
- Bicoherence wikiPageWikiLink Mathematics.
- Bicoherence wikiPageWikiLink Monthly_Notices_of_the_Royal_Astronomical_Society.
- Bicoherence wikiPageWikiLink Power_spectrum.
- Bicoherence wikiPageWikiLink Seizures.
- Bicoherence wikiPageWikiLink Signals_(biology).
- Bicoherence wikiPageWikiLink Sleep.
- Bicoherence wikiPageWikiLink Spectral_density.
- Bicoherence wikiPageWikiLink Statistical_analysis.
- Bicoherence wikiPageWikiLink Statistics.
- Bicoherence wikiPageWikiLink Wakefulness.
- Bicoherence wikiPageWikiLinkText "bicoherence".
- Bicoherence hasPhotoCollection Bicoherence.
- Bicoherence subject Category:Complex_analysis.
- Bicoherence subject Category:Fourier_analysis.
- Bicoherence subject Category:Integral_transforms.
- Bicoherence hypernym Version.
- Bicoherence type Work.
- Bicoherence type Algorithm.
- Bicoherence type Field.
- Bicoherence type Transform.
- Bicoherence comment "In mathematics, in the area of statistical analysis, bicoherence is a squared normalised version of the bispectrum. The bicoherence takes values bounded between 0 and 1, which make it a convenient measure for quantifying the extent of phase coupling in a signal. It is also known as bispectral coherency. The prefix bi- in bispectrum and bicoherence refers not to two time series xt, yt but rather to two frequencies of a single signal.".
- Bicoherence label "Bicoherence".
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- Bicoherence sameAs Q4903705.
- Bicoherence sameAs Q4903705.
- Bicoherence wasDerivedFrom Bicoherence?oldid=633723483.
- Bicoherence isPrimaryTopicOf Bicoherence.