A Novel Design of Sparse Vector Coding Aided URLLC With Periodic Quasi-Complementary Pairs

Recently, sparse vector coding (SVC) has emerged as a promising coding scheme for short-packet transmission in ultra-reliable and low-latency communications (URLLCs). The encoding and decoding of SVC are jointly formulated as a standard compressed sensing (CS) problem, in which a codebook with low mutual coherence is required to achieve reliable decoding performance. In this paper, we propose the concept of periodic quasi-complementary pairs (PQCPs), based on which we present a novel design of a deterministic spreading matrix with low mutual coherence for efficient SVC encoding. Furthermore, a modified multipath matching pursuit (MMP) decoder for the proposed SVC scheme is developed. Simulation results demonstrate that the proposed designs significantly improve the block error rate (BLER) performance of SVC compared with existing approaches.