Optimal on-off signaling over linear time-varying stochastic channels

The problems of optimum performance and signal design for on-off signaling over linear, time-varying stochastic channels are considered. The channel is modeled as a nonstationary linear time-varying Gaussian filter with additive white Gaussian noise at its output. A new expression for the probability of error is presented and is minimized under the constraint of fixed received energy. An approximately optimum signal design method that yields the minimum probability of error is proposed.