Reconstruction of Nonlinearly Deformed Periodic Signals Using Inverse Circular Parametric Operators

The original method of the non-linear distortions correction is presented. Aperiodic steady state of the linear periodical time-varying system may be described using a circular parametric operator. Within the domain of discrete time, such an operator takes the form of a constant real entries matrix. This way of system characterization is adopted to describe the steady state of the non-linear system. For reconstructing distorted signals some inverse circular parametric operators are determined using an original identification algorithm based on the set of input and output signals. The non-linear system operation depends on input signal shape and amplitude, thus each operator is determined for the different, so called, basic input signal. The described method is effective in some situations, but it requires further research to improve accuracy.