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Multiple-symbol differential detection MSDD algorithms are proposed in two-way relay transmission TWRT . Firstly, generalized likelihood ratio test based MSDD GLRT-MSDD is proposed in TWRT. Unfortunately, as the number of observation windows increases, the computational complexity of GLRT-MSDD increases exponentially. Hence, this detection in TWRT constitutes a challenging problem. Moreover, we find a way to reformulate the GLRTMSDD model and additionally propose a lattice-reduction aided MSDD LR-MSDD model. Performance analysis and simulations show that the proposed LR-MSDD provides bit-error rate performance close to that of GLRT-MSDD with lower complexity in TWRT.

Lattice-reduction aided multiple-symbol differential detection in two-way relay transmission