%0 Journal Article %A GUO Ming-kun %A SHAO Xiao-tao %A YANG Wei %T A SCMA Codebook Design Based on Distance Spectrum %D 2019 %R 10.13190/j.jbupt.2018-153 %J Journal of Beijing University of Posts and Telecommunications %P 1-6,28 %V 42 %N 3 %X Aiming at the problem that the complexity of multidimensional constellation design, and the difficulty of determining optimal constellation operators actually increase the difficulty of codebook design in the typical sparse code multiple access(SCMA) codebook design scheme, which gets user codebooks from a multidimensional constellation via the constellation operation, the influence of user codebooks on the specific process of message passing algorithm(MPA) is analyzed, and a codebook design scheme based on maximizing the minimum element of the distance spectrum is proposed. The scheme transforms the process of multidimensional constellation design, and constellation operators determination into a simple codebook design parameter selection process. Without affecting the unique decodability of user codebooks, the complexity of parameter selection is reduced by replacing some codebook design parameters. Simulations show that compared with the existing SCMA codebook design schemes, the scheme based on distance spectrum can significantly improve the bit error rate performance of system. %U https://journal.bupt.edu.cn/EN/10.13190/j.jbupt.2018-153