IEEE Transactions on Wireless Communications
Factor graphs and the sum-product algorithm
IEEE Transactions on Information Theory
Unified design of iterative receivers using factor graphs
IEEE Transactions on Information Theory
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We consider a differentially encoded phase-shift keying (DPSK) signal transmitted over a channel affected by correlated Rayleigh fading. For this problem, we derive the exact maximum a posteriori (MAP) symbol detection algorithm. Byanalyzing its properties, we demonstrate that it can be implemented by a forward-backward estimator of the channel, followed by a symbol-by-symbol completion to produce the a posteriori probabilities of the information symbois. The resulting algorithm can be employed as a soft-input soft-output (SISO) block in turbo-iterative receivers and exhibits an excellent performance despite its limited computational complexity. The performance of the proposed algorithm is evaluated for time-domain modulations over frequency-flat channels and for frequency-domain modulations over time-invariant channels.