Efficient constellation design is important for improving performance in communication systems. The problem of multidimensional constellation design has been studied extensively in the literature in the context of multidimensional coded modulation and space-time coded MIMO systems. Such constellations are formally called as lattice codes, where a finite set of points from a certain high dimensional lattice is chosen based on some criteria. In this paper, we consider the problem of constellation/signal set design for media-based modulation (MBM), a recent MIMO channel modulation scheme with promising theoretical and practical benefits. Constellation design for MBM is fundamentally different from those for multidimensional coded modulation and conventional MIMO systems mainly because of the inherent sparse structure of the MBM signal vectors. Specifically, we need a structured sparse lattice code with good distance properties. In this work, we show that using an $(N,K)$ non-binary block code in conjunction with the lattice based multilevel squaring construction, it is possible to systematically construct a signal set for MBM with certain guaranteed minimum distance. The MBM signal set obtained using the proposed construction is shown to achieve significantly improved bit error performance compared to conventional MBM signal set. In particular, the proposed signal set is found to achieve higher diversity slopes in the low-to-moderate SNR regime.

中文翻译：

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使用分组码和平方构造的基于媒体调制的星座设计

高效的星座设计对于提高通信系统的性能很重要。在多维编码调制和空时编码 MIMO 系统的背景下，多维星座设计问题已在文献中得到广泛研究。这种星座正式称为格码，其中基于某些标准选择来自某个高维格的有限点集。在本文中，我们考虑了基于媒体调制 (MBM) 的星座/信号集设计问题，MBM 是一种最新的 MIMO 信道调制方案，具有良好的理论和实践优势。MBM 的星座设计与多维编码调制和传统 MIMO 系统的星座设计有着根本的不同，主要是因为 MBM 信号向量的固有稀疏结构。具体来说，我们需要一个具有良好距离特性的结构化稀疏格码。在这项工作中，我们展示了使用 $(N,K)$ 非二进制块码与基于格的多级平方构造相结合，可以系统地构建具有一定保证最小距离的 MBM 信号集。与传统的 MBM 信号集相比，使用所提出的构造获得的 MBM 信号集显示出显着改善的误码性能。特别是，发现所提出的信号集在低到中等 SNR 机制中实现了更高的分集斜率。可以系统地构建具有一定保证最小距离的 MBM 信号集。与传统的 MBM 信号集相比，使用所提出的构造获得的 MBM 信号集显示出显着改善的误码性能。特别是，发现所提出的信号集在低到中等 SNR 机制中实现了更高的分集斜率。可以系统地构建具有一定保证最小距离的 MBM 信号集。与传统的 MBM 信号集相比，使用所提出的构造获得的 MBM 信号集显示出显着改善的误码性能。特别是，发现所提出的信号集在低到中等 SNR 机制中实现了更高的分集斜率。