Receiver nonlinearity optimization in clipping channels

In this paper the effects of receiver nonlinearities are examined for clipping channels. The objective of this work is to determine the optimal receiver functions for additive noise clipping channels. In this case the optimal receiver function will be the one that maximizes the signal-to-noise-plus-distortion ratio (SNDR) between the transmitted and received variables. To solve the problem we utilize functional analysis to find a necessary condition for the SNDR-maximizing receiver function. The results are general and can be applied for any noise and signal distribution. Furthermore, the results show that for the example given, the linear receiver is not SNDR-optimal.