Effect of Doppler shift on performance of binary DPSK over fast Rician fading channels with diversity reception

This paper is concerned with the effect of the Doppler shift on the bit error probability (BEP) performance of binary differential phase shift keying with differential detection over the nonselective, Rician fading channel with combining diversity reception. Space antenna diversity reception is assumed. The fading process is assumed to have an arbitrary Doppler spectrum with arbitrary Doppler bandwidth. Both optimal receiver where the Doppler shift has been perfectly compensated for and the suboptimum receiver where no estimation or compensation is made for the Doppler shift are studied. The BEP results derived are given by the exact, closed-form expressions which can show the BEP behavior as an explicit function of various system parameters. For the special case when the Doppler shift is equal to zero, the result provides a new, alternative BEP expression to those that exist in the literature.