论文信息 - Approximation and analog implementation of nonlinear systems represented by Volterra series

Approximation and analog implementation of nonlinear systems represented by Volterra series

This paper is concerned with the Volterra-Wiener theory of nonlinear time-invariant systems with memory, based on Volterra series expansion. We present an approximating approach to the Wiener formulation of nonlinear systems that is able to represent such systems with an arbitrary given error. In addition, it is proven that this scheme is particularly suitable for an analog circuit implementation.

Simone Orcioni

[1] M. Schetzen,et al. Nonlinear system modeling based on the Wiener theory , 1981, Proceedings of the IEEE.

[2] G. Sicuranza. Quadratic filters for signal processing , 1992, Proc. IEEE.

[3] K. Bult,et al. A class of analog CMOS circuits based on the square-law characteristic of an MOS transistor in saturation , 1987 .

[4] Neil E. Cotter,et al. The Stone-Weierstrass theorem and its application to neural networks , 1990, IEEE Trans. Neural Networks.

[5] David J. Allstot,et al. A continuous-time current-mode integrator , 1991 .

[6] Taiho Koh,et al. Second-order Volterra filtering and its application to nonlinear system identification , 1985, IEEE Trans. Acoust. Speech Signal Process..

[7] Simone Orcioni,et al. A New Stochastic Learning Algorithm for Analog Hardware Implementation , 1998 .

[8] R. B. Parente. Nonlinear Differential Equations and Analytic System Theory , 1970 .