Parallel-cascade realizations and approximations of truncated Volterra systems

Introduces parallel-cascade realizations of truncated Volterra systems with an arbitrary but finite order of nonlinearity. Parallel-cascade realizations implement higher order Volterra systems using parallel and multiplicative combinations of lower order Volterra systems. A systematic way of approximating higher order Volterra systems in parallel-cascade form using a reduced number of branches and a bound on the mean-square error in the output signals caused by such approximate realizations are derived.