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We consider discrete-time (DT) systems S in which a DT input is firsttranformed to a continuous-time (CT) format by phase-amplitude modulation, thenmodified by a non-linear CT dynamical transformation F, and finally convertedback to DT output using an ideal de-modulation scheme. Assuming that F belongsto a special class of CT Volterra series models with fixed degree and memorydepth, we provide a complete characterization of S as a series connection of aDT Volterra series model of fixed degree and memory depth, and an LTI systemwith special properties. The result suggests a new, non-obvious, analyticallymotivated structure of digital compensation of analog nonlinear distortions(for example, those caused by power amplifiers) in digital communicationsystems. Results from a MATLAB simulation are used to demonstrate effectivenessof the new compensation scheme, as compared to the standard Volterra seriesapproach.

Discrete-Time Models Resulting From Dynamic Continuous-Time Perturbations In Phase-Amplitude Modulation-Demodulation Schemes