Further Results on Noncoherent Block-Coded MPSK

A novel noncoherent block coding scheme, called noncoherent block-coded MPSK (NBC-MPSK), was proposed in [1] recently. This NBC-MPSK scheme was generalized to multiple-antenna systems in [2] as well. In this paper, we present further research results on NBC-MPSK and its generalization. We first focus on the rotational invariance (RI) of NBC-MPSK. Based on the RI property of NBC-MPSK with multistage decoding, a noncoherent near-optimal linear-complexity multistage decoder for NBC-MPSK is proposed. Then we propose a tree-search ML decoding algorithm for NBC-MPSK. The proposed algorithm is shown to have low complexity and excellent error performance. This ML decoding algorithm can also be applied to the generalized NBC-MPSK for multiple antennas. In addition, we propose a new signal set with partitioning for the generalized NBC-MPSK. Error performance and complexity of decoding algorithms is verified by simulations.