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

Abstract

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 andsimulations show that the proposed LR-MSDD provides bit-error rate performance close to that of GLRT-MSDD withlower complexity in TWRT.