Performance analysis of DPSK with diversity reception over equal-correlated Nakagami-m and independent Rician fading channels

Using the associated Legendre functions, the average bit error probability (BEP) of the differential binary and quaternary phase shift keying (DBPSK and DQPSK respectively) with diversity reception is analyzed over equal-correlated Nakagami-m and independent Rician fading channels. The average BEP of DBPSK and DQPSK is demonstrated with two major schemes of diversity reception: predetection with maximum ratio combining (MRC) and postdetection with equal gain combining (EGC). The correlation loss due to the equal-correlated Nakagami-m fading is computed. Finite closed form expressions for the average BEP of DBPSK over independent Rician fading channels and for the average BEP of DQPSK over L independent Nakagami-m fading channels, when the product Lm is integer, are presented. The distinction between the performance of predetection and postdetection diversity combining of DPSK systems is discussed.