A combinatorial approach was recently proposed for designing multidimensional codebooks for fading channels. Albeit flexible and granting full signal space diversity, it relies on the optimal maximum likelihood detection, which is rather complex. In this letter, we propose an alternative low-complexity, list-based detection algorithm for the codebooks under this approach. The detection complexity of the proposed algorithm is analyzed, and simulation results for both detection complexity and error performance are presented. It is concluded that the proposed detection algorithm not only preserves the diversity gain but also presents an excellent performance-complexity trade-off, thus adding value to the combinatorial approach.

中文翻译：

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基于组合方法的全分集码本列表检测算法

最近提出了一种组合方法来设计用于衰落信道的多维码本。尽管具有灵活性并可以提供完整的信号空间分集，但它依赖于最佳的最大似然检测，这非常复杂。在这封信中，我们为采用这种方法的码本提出了一种替代的低复杂度，基于列表的检测算法。分析了所提算法的检测复杂度，并给出了检测复杂度和误码性能的仿真结果。结论是，所提出的检测算法不仅保留了分集增益，而且表现出良好的性能-复杂度折衷，从而为组合方法增加了价值。