An approximation to the Volterra series with multiple linear ARMA filters

Nonlinear filtering based oil the Volterra series expansion is a powerful universal tool in signal processing, Due to the problem of increased complexity for higher orders and filter lengths, approximations up to third order nonlinearities using linear FIR-filters and multipliers have been developed earlier, called Multi Memory Decomposition (MMD). hi our paper we go a step further ill this approach using ARMA-filters instead, which leads to reduction in the number of coefficients to about 50% for similar system functions. The good performance of this new approach is demonstrated by means of a processor designed for identification of nonlinear loudspeaker distortions.