Optimum modulation and diversity for DS-SS communication over a pulse-burst jammed, Rayleigh fading channels

Results of optimum modulation and coding for MPSK and MDPSK signals transmitted over faded and jammed channels are presented. Exact expressions of the probability of error for the M-ary modulations on Rayleigh channels subject to pulse-burst jamming are used. The analysis of optimum diversity (repetition code) is carried out by a Chernoff bound approximation. Simple expressions are derived to determine the optimum modulation and diversity in terms of the channel parameters. It is concluded that: the exact and the Chernoff bound analysis yield the same results for the optimum modulation and coding, and there exists an optimum modulation and coding for each value of signal-to-noise ratio. The results are of particularly useful for power and bandwidth limited channels.