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arXiv 1504.04725cs.ITmath.IT
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用于MIMO光无线通信的全大规模分集空间码

Full Large-Scale Diversity Space Codes for MIMO Optical Wireless Communications

Yan-Yu Zhang, Hong-Yi Yu, Jian-Kang Zhang, Yi-Jun Zhu, Jin-Long Wang, Tao Wang

摘要:

本文研究了一种对数正态衰落下的多输入多输出无线光通信系统。在这种情况下,一个通用的标准设计的全大规模分集空间码(FLDSC)与最大似然(ML)检测器的开发。基于我们的准则,当且仅当空间编码矩阵的所有元素都是正的时,可以获得FLDSC。特别是对于具有单极性脉冲幅度调制(PAM)的$2\times 2$ MIMO-OWC,通过巧妙地利用Farey序列的一些已有性质以及发展一些数论中的新的有趣性质,严格地解决了连续变量和离散变量的混合最大最小问题,得到了满足该准则的封闭形式的线性FLDSC.事实上,这种特定的设计不仅证明了重复码(RC)是最好的线性FLDSC,而且还揭示了MIMO射频(RF)通信和MIMO-OWC之间的显著差异,即仅空间传输就足以实现全分集。计算机模拟表明,在相同的总光功率和频谱效率下,FLDSC的性能明显优于空间复用,后者仅获得小尺度的分集增益。

英文摘要:

In this paper, we consider a multiple-input-multiple-output optical wireless communication (MIMO-OWC) system suffering from log-normal fading. In this scenario, a general criterion for the design of full large-scale diversity space code (FLDSC) with the maximum likelihood (ML) detector is developed. Based on our criterion, FLDSC is attained if and only if all the entries of the space coding matrix are positive. Particularly for $2\times 2$ MIMO-OWC with unipolar pulse amplitude modulation (PAM), a closed-form linear FLDSC satisfying this criterion is attained by smartly taking advantage of some available properties as well as by developing some new interesting properties on Farey sequences in number theory to rigorously attack the continuous and discrete variables mixed max-min problem. In fact, this specific design not only proves that a repetition code (RC) is the best linear FLDSC, but also uncovers a significant difference between MIMO radio frequency (RF) communications and MIMO-OWC that space-only transmission is sufficient for a full diversity achievement. Computer simulations demonstrate that FLDSC substantially outperforms spatial multiplexing with the same total optical power and spectral efficiency and the latter obtains only the small-scale diversity gain.

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