Blind Identification Method of Memory Effect for Hammerstein Model

Aiming at the Hammerstein model with unknown memory depth,this paper proposes a blind identification method of memory effect for Hammerstein model based on high cumulant.The memory depth determination is converted into finding the rank of extended matrix constructed by cumulants of system output.In order to yield the rank of cumulant matrix.It proposes Nonlinear Product Of Diagonal Entry(NPODE) method,and simulation verifies its robustness by comparing with GM method and inflexion method.Linear block coefficients extraction method is given,the theoretical derivation and simulation result indicates that the extraction process is not affected by the strength of nonlinearity of Hammerstein model.