Multidimensional Voronoi constellations (VCs) are shown to be more power-efficient than quadrature amplitude modulation (QAM) formats given the same uncoded bit error rate, and also have higher achievable information rates. However, a coded modulation scheme to sustain these gains after forward error correction (FEC) coding is still lacking. This paper designs coded modulation schemes with soft-decision FEC codes for VCs, including bit-interleaved coded modulation (BICM) and multilevel coded modulation (MLCM), together with three bit-to-integer mapping algorithms and log-likelihood ratio calculation algorithms. Simulation results show that VCs can achieve up to 1.84 dB signal-to-noise ratio (SNR) gains over QAM with BICM, and up to 0.99 dB SNR gains over QAM with MLCM for the additive white Gaussian noise channel, with a surprisingly low complexity.

翻译：多维Voronoi星座（VC）在相同未编码误码率下被证明比正交幅度调制（QAM）格式具有更高的功率效率，同时具有更高的可达信息速率。然而，目前仍缺乏一种能够在前向纠错（FEC）编码后维持这些增益的编码调制方案。本文针对VC设计了采用软判决FEC码的编码调制方案，包括比特交织编码调制（BICM）和多级编码调制（MLCM），并提出了三种比特到整数映射算法及对数似然比计算算法。仿真结果表明，在加性高斯白噪声信道下，基于BICM的VC相比QAM可实现高达1.84 dB的信噪比（SNR）增益，基于MLCM的VC相比QAM可实现高达0.99 dB的SNR增益，且复杂度极低。