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Performance of a Biphase Bandpass Communication System

A binary bandpass communications system is considered, in which the ratio of bandwidth to intermediate frequency (IF) is not necessarily small. Closed-form expressions are given in the case when the receiver (IF) filter has N distinct poles. Explicit results, namely probabilities of error, are computed when the filter is a bandpass Butterworth filter. The effect of k = f_{0}/f_{r} (ratio of half filter bandwidth to IF), f_{0}T (product of half filter bandwidth and bit duration), N , phase and time jitter on probability of error, is investigated.