Abstract

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.

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