Synthesis of Deterministic Nonlinear Discrete Mappings of Continuous Communication Channels

Deterministic nonlinear discrete mappings of continuous communication channels are formally described based on functional Volterra series. Evaluation of complexity of carrying out nonlinear discrete-continuous and continuous-discrete transforms with specified level of nonlinearity and signal dimension displays significant discrete-continuous and continuous-discrete transform computational complexity. A block diagram of nonlinear discrete-continuous and continuous-discrete transforms on the basis of functional Volterra series is proposed.