Narrowband M-ary DPSK-DPD with L-diversity maximum ratio combining in Rician fading channels

In this paper the bit error probability (BEP) of narrowband M-ary differential phase shift keying with differential phase detection (MDPSK-DPD) and maximum ratio combining (MRC) in Rician fading channels is computed. Two systems shall be investigated. In the first system the transmitted pulse is a Nyquist pulse with bandwidth B = R(1 + β), where R is the symbol rate and 0 ≤ β ≤ 1 is the roll-off and the receiver is matched to the transmitter. In the second system the shaping pulse is a rectangle of duration T = 1/R modified by narrowband Butterworth filters in the transmitter and receiver. The fading channel is both time selective with Doppler frequency shifts of f_DT = 0, 0·01, 0·02 and frequency selective with time delays of t_d/T = 0, 0·1, 0·2. The number of diversity channels is L = 1, 2, 3 and the Rician factor is K = 0, 1, 6 dB, 10, ∞, thus the whole range between Rayleigh and Gaussian channels is covered. © 1997 John Wiley & Sons, Ltd.