Binary PRCPM with differential phase detection and maximal ratio combining diversity in satellite mobile, land mobile and Gaussian channels

We derive a formula for the bit error probability (BEP) of binary partial response continuous phase modulation (PRCPM) with differential phase detection (DPD) in a Rician fading channel subject to L-branch maximum ratio combining (MRC) diversity. We compute the BER for minimum shift keying (MSK), Gaussian minimum shift keying (GMSK) and 2RC (two bit duration Raised cosine) frequency signals as a function of the energy-to-noise ratio per bit, E/N₀, and other system and channel parameters (L=1, 2, 3; Rician factor K=-∞, 0, 6, 10, ∞ dB; Doppler frequency shift f_DT=0, 0.01, 0.02; Gaussian premodulation filter bandwidth B_gT=∞, 0.5, 0.25 in the presence of a Doppler frequency tracking loop in the receiver). In all cases the BEP is significantly reduced by diversity