objective: electroencephalogram is a reliable reflection of many physiological factors modulating the brain. the bispectrum is very useful for analyzing non-gaussian signals such as eeg, and detecting the quadratic phase coupling between distinct frequency components in eeg signals.the main aim of this study was to test the existence of nonlinear phase coupling within the eeg signals in a certa...

This paper mainly investigates the bispectrum property of sea clutter. For non-Gaussian sea clutter, bispectrum can reveal its property from higher-order probability structures, which is complementary to current second-order theory based research. Bispectrum estimation of sea clutter is accomplished by using the FFT-based method with a frequency-domain Rao-Gabr window. Analysis results show tha...

Besides the undirected environmental noise, the surrounding interference also brings great challenges to the robust DOA estimation of the speech source. As conventional DOA estimation methods always assume an undirected noise model, they usually cannot perform reliably when the strong inference exists. In this paper, we propose a novel interference robust DOA estimation method, which is based o...

An important practical problem in the area of the higher-order statistical signal processing is to estimate the cumulants and polyspectra of the analyzed signal when a finite sequence of time samples is available. We cannot use the theoretical formula because they are based on the assumption that an infinite sequence of time samples is available, but this is not true in practice. In order to ob...

The paper proposes a bispectral scheme for quadratic phase-coupling (QPC) detection in harmonic signals in white and colored noise, possibly generated by non-linear vibrations. This scheme is carried out via an autoregressive bispectrum (AR) using several criteria to fix an optimum order for the AR model used. First, we propose a recursive-in-order algorithm for AR model-parameter calculation i...

Although reconstruction of a nonminimum-phase system excited by a stationary non-Gaussian white input is only possible using higher-order statistics (HOS) of the system output, there has been a lot of criticism in the literature against the amount of data required for keeping estimation errors low, and the complexity involved. Recently several attempts for reducing the variance of the HOS estim...

Minimum-variance estimators for the parameter fnl that quantifies local-model non-Gaussianity can be constructed from the cosmic microwave background (CMB) bispectrum (three-point function) and also from the trispectrum (four-point function). Some have suggested that a comparison between the estimates for the values of fnl from the bispectrum and trispectrum allow a consistency test for the mod...

Window functions are used in the estimation of power spectra, [1] and bispectra [2] in order to ensure the consistency of the periodogram and the Fourier type bispectrum estimation methods. In this paper, a three dimensional optimum bias lag window function is introduced in the estimation of the fourth order cumulant spectrum, also called trispectrum, which is estimated from the three dimesiona...

OBJECTIVE Electroencephalogram is a reliable reflection of many physiological factors modulating the brain. The Bispectrum is very useful for analyzing non-Gaussian signals such as EEG, and detecting the quadratic phase coupling between distinct frequency components in EEG signals.The main aim of this study was to test the existence of nonlinear phase coupling within the EEG signals in a certai...