Toward nonlinear wave digital filters

The wave digital filter (WDF) theory provides us with a systematic methodol ogy for building digital models of analog filters through the discretizatio n of their individual circuit components. In some situations, WDF principle s can also be successfully used for modeling circuits in which a nonlinear circuit element is present under mild conditions on its characteristic. In this paper, we propose an extension of the classic WDF principles, which allows us to considerably extend the class of nonlinear elements that can be modeled in the wave digital domain. The method we propose is based on a new class of waves that can be chosen in such a way that incorporates the i ntrinsic dynamics of a nonlinear element into a new class of dynamic multip ort adaptors, This family of junctions represents a generalization of the c oncept of "mutator" in the analog nonlinear circuit theory because it allow s us to treat a nonlinear dynamic element as if it were instantaneous (resi stive).