Investigation of Peculiarity in Some Wave-Forms through Bispectral Analysis

抄録

The author computed bispectra of experimental output data passed through a nonlinear asymmetrical system and those obtained from model simulation to judge whether the nonlinear model fits or not. Then a function was introduced, which was defined as the ratio of the bispectrum and the tripple product of the square roots of the power spectra of the related frequency components and was tentatively called "the skewness function" for expression of the dependence of phase properties among those frequency components. Moreover, the properties of the skewness function both for artificial Gaussian and non-Gaussian signals was investigated. It becomes clear by this research that we can practically compute bispectrum and skewness function, identify the peculiarity in non-Gaussian wave-forms by the bispectral information, and utilize it to improve nonlinear modeling technique.