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We study the diversity order vs rate of an additive white Gaussian noise(AWGN) channel in the whole capacity region. We show that for discrete input aswell as for continuous input, Gallager's upper bounds on error probability haveexponential diversity in low and high rate region but only subexponential inthe mid-rate region. For the best available lower bounds and for the practicalcodes one observes exponential diversity throughout the capacity region.However we also show that performance of practical codes is close to Gallager'supper bounds and the mid-rate subexponential diversity has a bearing on theperformance of the practical codes. Finally we show that the upper bounds withGaussian input provide good approximation throughout the capacity region evenfor finite constellation.

Diversity Order Vs Rate in an AWGN Channel