Fifth-order Volterra kernel estimation for a nonlinear communication channel with PSK and QAM inputs

A new approach, based on higher-order statistics, to estimate up to 5th-order Volterra kernels for a narrowband nonlinear communication channel is proposed. The approach is based on the characteristics of IID, circularly symmetric zero-mean complex-valued Gaussian random variables. The algorithm can also be used to identify a nonlinear channel with uniformly IID rectangular M-QAM (M/spl ges/4) input, and with uniformly IID M-PSK input with some minor modification.