arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2409.06110cs.ITmath.IT
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高斯 MIMO 信道的计算转发多址接入

Compute-Forward Multiple Access for Gaussian MIMO Channels

Lanwei Zhang, Jamie Evans, Jingge Zhu

AI总结:

本文将 CFMA 扩展至两用户高斯 MIMO MAC,提出基于嵌套格码的 SCS 与 PCS,推导可达速率及和容量条件,并通过数值结果比较二者性能。

摘要:

计算转发多址接入(CFMA)是一种基于计算转发(Compute-and-Forward,CF)的多址传输方案,它允许接收机首先解码所传输信号的线性组合,然后求解各个独立消息。本文将 CFMA 方案扩展到两用户高斯多输入多输出(MIMO)多址信道(MAC)。我们提出了采用嵌套格码的 CFMA 串行编码方案(SCS)和 CFMA 并行编码方案(PCS)。我们首先推导了采用 CFMA-SCS 的 MIMO MAC 的可达速率对表达式。我们证明了 CFMA-SCS 能够实现信道和容量的一般条件。此外,该结果被专门应用于单输入多输出(SIMO)和 2×2 对角 MIMO 多址信道,并针对这些信道推导了关于功率和信道矩阵的更明确的和容量可达条件。我们为 CFMA-PCS 构造了一个等效 SIMO 模型,并推导了其可达速率。随后分析了其和容量可达条件。文中给出了 CFMA-SCS 和 CFMA-PCS 在不同信道条件下性能的数值结果。总体而言,CFMA-PCS 具有更好的和容量可达性,但编码复杂度更高。

英文摘要:

Compute-forward multiple access (CFMA) is a multiple access transmission scheme based on Compute-and-Forward (CF) which allows the receiver to first decode linear combinations of the transmitted signals and then solve for individual messages. This paper extends the CFMA scheme to a two-user Gaussian multiple-input multiple-output (MIMO) multiple access channel (MAC). We propose the CFMA serial coding scheme (SCS) and the CFMA parallel coding scheme (PCS) with nested lattice codes. We first derive the expression of the achievable rate pair for MIMO MAC with CFMA-SCS. We prove a general condition under which CFMA-SCS can achieve the sum capacity of the channel. Furthermore, this result is specialized to single-input multiple-output (SIMO) and $2$-by-$2$ diagonal MIMO multiple access channels, for which more explicit sum capacity-achieving conditions on power and channel matrices are derived. We construct an equivalent SIMO model for CFMA-PCS and also derive the achievable rates. Its sum capacity achieving conditions are then analysed. Numerical results are provided for the performance of CFMA-SCS and CFMA-PCS in different channel conditions. In general, CFMA-PCS has better sum capacity achievability with higher coding complexity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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