This paper generalizes results in noncoherent space-time block code (STBC) design based on quantum error correction (QEC) to new antenna configurations. Previous work proposed QEC-inspired STBCs for antenna geometries where the number of transmit and receive antennas were equal and a power of two. In this work we extend these results by providing QEC-inspired STBCs applicable to all square antenna geometries and some rectangular geometries where the number of receive antennas is greater than the number of transmit antennas. We derive the maximum-likelihood decoding rule for this family of codes for the special case of Rayleigh fading with additive white Gaussian noise. We present Monte Carlo simulations of the performance of the codes in this environment for a three-antenna square geometry and a three-by-six rectangular geometry. We demonstrate competitive performance for these codes with respect to a popular noncoherent differential code.

翻译：本文基于量子纠错（QEC）方法，将非相干空时分组码（STBC）的设计结果推广至新的天线配置场景。此前的研究针对发射与接收天线数目相等且为2的幂的天线几何结构，提出了受QEC启发的STBC方案。本研究通过提供适用于所有方形天线几何结构及部分接收天线数大于发射天线数的矩形几何结构的QEC启发式STBC，扩展了上述成果。针对瑞利衰落加性高斯白噪声的特殊场景，我们推导了该类码的最大似然译码规则。针对三天线方形几何结构与三乘六矩形几何结构，进行了该环境下码性能的蒙特卡洛仿真。结果表明，此类码与流行的非相干差分码相比具有竞争性性能。