Parameter identification of Wiener systems with multisegment piecewise-linear nonlinearities

The paper deals with the identification of Wiener systems having multisegment piecewise-linear nonlinearities. A special form of nonlinearity representation is used in the Wiener system description. The resulting output equation contains the least possible number of parameters required for the blocks of given system. The proposed iterative method enables simultaneous estimation of both the linear block parameters and all the parameters characterizing the nonlinearity, i.e., the slopes of linear segments and the constants determining the partition of domain. Limits for the constants are the only a priori knowledge required.