Series Approximation for Optimum ZNL Filters

The zero-memory nonlinear (ZNL) filter is of fundamental importance in the analysis and optimization of more complex nonlinear systems. In this paper an inverse problem to the ZNL prefiltering problem is treated. The general solution is simplified for a particular form of the filters. The method is illustrated by numerical examples to demonstrate the improvement in minimum-mean-squared error and to show the resulting filters' characteristics.