On the equivalence of nonlinear positive feedback circuits to constrained iterative signal reconstruction algorithms

Constrained nonlinear iterative algorithms for signal restoration and reconstruction from zero crossings or clipped signals have a common structure of iterations and can be written as an infinite nonlinear operator series. This operator series corresponds to an analog nonlinear positive feedback circuit: the signal transformation, after an infinite number of iterations, is equivalent to the signal obtained by passing through the nonlinear instantaneous positive-feedback analog circuit. The corresponding structures of the feedback circuits for two reconstruction algorithms are presented. This interpretation offers interesting possibilities for real-time signal reconstruction