Stochastic functional fourier series, Volterra series, and nonlinear systems analysis

DOI10.1109/TAC.1979.1101990zbMath0412.93038MaRDI QIDQ4199916

Syozo Yasui

Publication date: 1979

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

zbMATH Keywords

nonlinear systemsVolterra seriesstochastic functional Fourier seriesWiener kernel estimation

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Stochastic systems in control theory (general) (93E03) Controllability, observability, and system structure (93B99)

Related Items (15)

Structural classification of non-linear systems by input and output measurements ⋮ Characterization of abrupt nonlinearity by the Volterra-Fourier method ⋮ The use of clipped input information in multidimensional cross-correlation for estimating Wiener-like kernels of non-linear systems ⋮ Recursive identification of bilinear systems ⋮ Wiener analysis of a binary hysteresis system ⋮ A formula on the Wiener–Hermite expansion ⋮ The spectro-temporal receptive field. A functional characteristic of auditory neurons ⋮ On the analysis of nonlinear stochastic systems ⋮ Transmission of array data by multivariate convolution and cross-correlation using white-noise reference signal ⋮ The fractal dimension of a test signal: Implications for system identification procedures ⋮ Parameter estimation and spectral analysis of the discrete nonlinear second-order Wiener filter (NSWF) ⋮ Nonlinearities of the human ERG reflected by Wiener kernels ⋮ Input-output identification of nonlinear channels using PSK, QAM and OFDM inputs ⋮ Theory of nonlinear systems ⋮ Maximum-entropy approximations of stochastic nonlinear transductions: An extension of the Wiener theory

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