New bounds on the probability of bit error are presented for a communication system with binary antipodal modulation and soft-decision maximum-likelihood decoding over a correlated Rayleigh-fading channel. The bounds are illustrated by considering a system using convolutional encoding. The bounds are closed-form expressions in terms of the code's transfer function. They are shown to be tighter than previously developed closed-form bounds for communications in correlated Rayleigh fading.
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