Nonlinear IIR adaptive filtering using a bilinear structure

A nonlinear IIR (infinite-impulse-response) adaptive filter that is based on a Volterra polynomial realized by a set of bilinear systems is presented. Each bilinear system corresponds to a cascade connection of linear systems and multipliers. This allows the extension of some linear adaptive concepts. Nonlinear IIR adaptive filters have an advantage over FIR (finite-impulse-response) Volterra filters in that in some applications they may result in less computation. The results of a simulation example show the applicability and practical convergence rate of the nonlinear IIR adaptive filter presented