Behavioral modeling and simulation of weakly nonlinear sampled-data systems

The paper presents a systematic approach for modeling sampled weakly nonlinear systems using a formal computational model. Examples include sampled-data filters and data converters. The models can be written using constructs of standard hardware description languages which ensures that they can easily be used as part of a model of a larger system. The main application of the paradigm is situated in the systematic top-down synthesis of mixed-signal systems. Simulation of the models starts by splitting the model into an ideal (linear) and a non-ideal (weakly nonlinear) part. Each of them can be solved by a specific solver to reduce the simulation time compared to time-marching simulation of the entire model at once. Examples are presented to illustrate the usefulness of the proposed method.