Differential Phase Shift Keying in Two-Path Rayleigh Channel with Adjacent Channel Interference

A formula is derived for the error probability of Mary differential phase shift keying with differential phase detection in a two path Rayleigh channel taking into account adjacent channel interference (ACI), cochannel interference (CCI), intersymbol interference (ISI) and Doppler frequency shift. Square root Nyquist filters are used with roll-off 6 in the transmitter and receiver as in the proposed U.S. digital mobile radio system. The presence of the second path has a profound effect in increasing the bit error probability (BEP) because it causes ISI. In the absence of ISI, ACI has a lesser effect on BEP than CCI. In the presence of IS1 their effect is essentially the same, For a given bit energy-to-noise ratio the binary system has the lowest BEP, however, the bit rate is also the lowest for a given bandwidth. When the main interference is ACI or CCI a quaternary system has a lower BEP than the octal system. When the main interference is IS1 this is reversed.

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