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arXiv 1507.04588cs.ITmath.IT
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上行链路大规模MIMO系统的SOR矩阵无求逆信号检测

Matrix Inversion-Less Signal Detection Using SOR Method for Uplink Large-Scale MIMO Systems

Xinyu Gao, Linglong Dai, Yuting Hu, Zhongxu Wang, Zhaocheng Wang

摘要:

对于上行链路大规模MIMO系统,线性最小均方误差(MMSE)信号检测算法是近最优的,但涉及矩阵求逆,具有较高的复杂度。本文提出了一种基于超松弛(SOR)方法的低复杂度信号检测算法,避免了复杂的矩阵求逆运算。首先证明了上行链路大规模MIMO系统MMSE滤波矩阵对称正定的一个特殊性质,这是SOR方法的前提。在此基础上,提出了一种基于SOR方法的低复杂度迭代信号检测算法,并给出了收敛性证明。分析表明,该方案可以将计算复杂性从O(K3)降低到O(K2),其中K为用户数。最后,通过仿真实验验证了该算法的性能优于最近提出的Neumann级数近似算法,并且以较少的迭代次数达到了经典MMSE算法的近优性能。

英文摘要:

For uplink large-scale MIMO systems, linear minimum mean square error (MMSE) signal detection algorithm is near-optimal but involves matrix inversion with high complexity. In this paper, we propose a low-complexity signal detection algorithm based on the successive overrelaxation (SOR) method to avoid the complicated matrix inversion. We first prove a special property that the MMSE filtering matrix is symmetric positive definite for uplink large-scale MIMO systems, which is the premise for the SOR method. Then a low-complexity iterative signal detection algorithm based on the SOR method as well as the convergence proof is proposed. The analysis shows that the proposed scheme can reduce the computational complexity from O(K3) to O(K2), where K is the number of users. Finally, we verify through simulation results that the proposed algorithm outperforms the recently proposed Neumann series approximation algorithm, and achieves the near-optimal performance of the classical MMSE algorithm with a small number of iterations.

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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