Probability of Error in Binary Communication Systems with Causal Band-Limiting Filters--Part II: Split-Phase Signal

Abstract

The probability of error is computed in four binary communication systems with N th order ( N = 1, 2,...,10 ) Butterworth filters and split-phase signals. The systems have either a sampling detector or an integrating-and-dumping detector; the filter is either in the receiver only or both in the receiver and transmitter. A lower bound to the probability of error is also computed for modified binary communication systems in which prior to the decision the contribution of the past transmitted symbols is eliminated. In all systems the sampling time is optimized and the effect of nonoptimal sampling time on probability of error is demonstrated.