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This paper considers multiple symbol differential detection for multiple-antenna systems over flat Ricean-fading channels when partial Channel State Information (CSI) is available at the transmitter. Using the Maximum Likelihood (ML) principle, and assuming perfect knowledge of the channel mean, the authors derive the optimal Multiple Symbol Detection (MSD) rule for diagonal Differential Unitary Space-Time Modulation (DUSTM). This rule is used to develop a Sphere Decoding Bound Intersection Detector (SD-BID) with low complexity. A suboptimal MSD based decision feedback DD (DF-DD) algorithm is also derived.
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