Iterative Detection and Decoding Using Approximate Bayesian Theorem Based PDA Method Over MIMO Nakagami-M Fading Channels

In this paper, the design of Iterative Detection and Decoding (IDD) schemes relying on a low-complexity Probabilistic Data Association (PDA) aided method is conceived for turbo-coded Multiple-Input Multiple-Output (MIMO) systems communicating over Nakagami-m fading channels. The known PDA based MIMO detectors typically operate purely in the probability-domain. The authors show that the classic relationship where the extrinsic LLRs are given by subtracting the a priori LLRs from the a posteriori LLRs does not hold for the existing PDA based MIMO detectors. Therefore, the PDA method is not readily applicable to the IDD receiver.