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This paper focuses on 16-QAM labelings of bit-interleaved space-time coded modulation with iterative decoding (BI-STCM-ID). What is contributed is an algorithm to generate (with no random search) optimal labelings for BI-STCM-ID systems with any number of transmit- and receive antennas, transmitting over Rayleigh fading channel. Along with the algorithm, a couple of corollaries are brought, which give an account of the optimal labelings’ features. Having a complete set of optimal 16-QAM BI-STCM-ID labelings at hand, it is possible to advance research on labeling diversity scheme by finding all such labeling pairs that—if applied to a system with two different labeling maps within adjacent transmit streams—bring maximum asymptotic coding gain.

Algorithm for Generating All Optimal 16-QAM BI-STCM-ID Labelings