Abstract
An algorithm for modeling the step response behavior of ground stable nonlinear devices and systems is presented. The algorithm converges in the mean-square sense to an exact orthogonal representation whenever the nonconstant component of the step response is a finiteenergy signal. Terminating the algorithm after <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">N</tex> iterations results in an <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">N</tex> th-order model whose dynamics are segregated from the nonlinearity in the tradition of Wiener. The model admits a simple circuit realization, and the parameters which characterize it. <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">N + I</tex> nonlinear functions of a single variable, can all be obtained directly from terminal measurements. Three examples are cited, and a class of nonlinear differential systems is identified for which the algorithm converges.
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