Functional analysis of nonlinear circuits: a generating power series approach

Abstract

In the paper, an algorithm, by means of which a large class of nonlinear electronic circuits can be analysed, is described. This algorithm is based on a recent algebraic approach to Volterra functional expansions using noncommutative generating power series; this approach allows a natural generalisation, to the nonlinear domain, of the symbolic operational calculus of Heaviside, widely used in linear system theory. Moreover, it has the advantage, compared with the method using the multidimensional Fourier or Laplace transforms, of allowing an easy implementation on a computer. Some examples using a developed program are presented.