Wiener analysis of a binary hysteresis system
摘要：
Nonlinear transformation of an independent Gaussian sequence by a binary hysteresis is studied by Wiener's method [NonlinearProblemsinRandomTheory(MIT, Cambrige, MA, 1958)]. The output sequence of the hysteresis is represented by a series of Wiener–Hermite functionals, which are random and orthogonal (uncorrelated) to each other. From the hysteresis equation, a set of linear equations for the Wiener–Hermite functionals is derived without approximation. The equations directly show that the hysteresis is decomposed into equivalent subsystems consisting of static nonlinear elements, multipliers, adders, and linear filters. They are solved by use of random numbers generated in a computer in order to get a sample output sequence approximated by a finite sum of the Wiener–Hermite functionals. Another set of equations is derived for the mean‐square values of the Wiener–Hermite functionals. In terms of its numerical solutions, the convergence property of the Wiener–Hermite functional series is discussed.
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DOI：
10.1063/1.527855
被引量：
年份：
1988
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