Digital simulation of nonlinear circuits by wave digital filter principles

Abstract

The known principles of wave digital filters are used to simulate certain nonlinear circuits by digital means. Nonlinear elements-in particular, resistances having a continuous piecewise-linear voltage-current characteristic-are considered. It turns out that a representation of a nonlinear resistance in terms of the wave variables may exist, even if the voltage-current characteristic is neither voltage-controlled nor current-controlled. As an example, Chua's circuit is considered. It is shown that in the wave digital model of this circuit, essentially the same double-scroll attractor can be observed as in the corresponding analog realization.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>