Signal Parameter Optimization for the Impulsive Noise Channel

A common assumption in the analysis of impulsive noise channels is that at most one noise impulse occurs to affect any given decision. In practice, this assumption is not always valid. However, in this work it is shown that optimum signals parameter values can be determined subject to the single noise impulse assumption. The analysis is based on a linear channel model, and the optimality criterion used throughout is minimization of the decision error probability. Optimality tests based on the characteristic function of the filtered impulsive noise component are also derived. Numerical results are presented to substantiate the analysis.