  The linearization of nonlinear systems is an important digital enhancement
technique. In this paper, a real-time capable post- and pre-linearization
method for the widely applicable time-varying discrete-time Volterra series is
presented. To this end, an alternative view on the Volterra series is
established, which enables the utilization of certain modified linear iterative
methods for linearization. For one particular linear iterative method, the
Richardson iteration, the corresponding post- and pre-linearizers are discussed
in detail. It is motivated that the resulting algorithm can be regarded as a
generalization of some existing methods. Furthermore, a simply verifiable
condition for convergence is presented, which allows the straightforward
evaluation of applicability. The proposed method is demonstrated by means of
the linearization of a time-varying nonlinear amplifier, which highlights its
capability of linearizing significantly distorted signals, illustrates the
advantageous convergence behavior, and depicts its robustness against modeling
errors.
