On the Role of MMSE in Lattice Decoding: Achieving the Optimal Diversity-vs-Multiplexing Tradeoff
نویسندگان
چکیده
In this paper, we introduce the class of lattice space-time codes as a generalization of linear dispersion (LD) coding. We characterize the diversity-vs-multiplexing tradeoff achieved by random lattice coding with lattice decoding. This characterization establishes the optimality of lattice vertical codes when coupled with lattice decoding. We then generalize Erez and Zamir mod-Λ construction to multiple-input multiple-output (MIMO) channels and show that this construction achieves the optimal diversity-vs-multiplexing tradeoff under minimum mean square error (MMSE) lattice decoding. This result settles the open problem posed by Zheng and Tse on the construction of explicit coding and decoding schemes that achieve the optimal tradeoff.
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