Abstract: A high-performance noncoherent transmission scheme is proposed in the broadcasting phase of a two-way relay transmission (TWRT), where multiple-symbol differential detection (MSDD) is performed because of its excellent detection performance with no channel estimation. Specifically, the generalized likelihood ratio test aided MSDD (GLRT-MSDD) is developed for the down-link. Furthermore, GLRT-MSDD is reformulated and a semidefinite relaxation aided MSDD (SDR-MSDD) is proposed. The reformulation of GLRT-MSDD to SDR-MSDD is desirable owing to its reduced complexity. Performance analysis and the simulations validate that the proposed SDR-MSDD provides the bit-error-rate performance close to that of GLRT-MSDD with reasonable complexity in TWRT.

Key words: Multiple-symbol differential detection, Generalized likelihood ratio test, Semidefinite relaxation, Two-way relay transmission

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