Duan Wei, Song Wei, Song Sang Seob, Lee Moon Ho
Division of Electronic and Information Engineering, Chonbuk National University, Chonju 561-756, Republic of Korea.
College of Information Technology, Eastern Liaoning University, Dandong, 118003, China.
ScientificWorldJournal. 2014;2014:678578. doi: 10.1155/2014/678578. Epub 2014 Aug 28.
The Cholesky decomposition-block diagonalization (CD-BD) interference alignment (IA) for a multiuser multiple input multiple output (MU-MIMO) relay system is proposed, which designs precoders for the multiple access channel (MAC) by employing the singular value decomposition (SVD) as well as the mean square error (MSE) detector for the broadcast Hermitian channel (BHC) taken advantage of in our design. Also, in our proposed CD-BD IA algorithm, the relaying function is made use to restructure the quasieigenvalue decomposition (quasi-EVD) equivalent channel. This approach used for the design of BD precoding matrix can significantly reduce the computational complexity and proposed algorithm can address several optimization criteria, which is achieved by designing the precoding matrices in two steps. In the first step, we use Cholesky decomposition to maximize the sum-of-rate (SR) with the minimum mean square error (MMSE) detection. In the next step, we optimize the system BER performance with the overlap of the row spaces spanned by the effective channel matrices of different users. By iterating the closed form of the solution, we are able not only to maximize the achievable sum-of-rate (ASR), but also to minimize the BER performance at a high signal-to-noise ratio (SNR) region.
提出了一种用于多用户多输入多输出（MU-MIMO）中继系统的Cholesky分解-块对角化（CD-BD）干扰对齐（IA）方法，该方法通过采用奇异值分解（SVD）为多址接入信道（MAC）设计预编码器，并在我们的设计中利用均方误差（MSE）检测器来处理广播厄米特信道（BHC）。此外，在我们提出的CD-BD IA算法中，利用中继功能对等效信道进行准特征值分解（quasi-EVD）重构。这种用于设计BD预编码矩阵的方法可以显著降低计算复杂度，并且所提出的算法可以满足多个优化准则，这是通过分两步设计预编码矩阵来实现的。第一步，我们使用Cholesky分解以最小均方误差（MMSE）检测来最大化和速率（SR）。第二步，我们利用不同用户有效信道矩阵所张成的行空间的重叠来优化系统误码率（BER）性能。通过迭代该解的闭式，我们不仅能够最大化可达和速率（ASR），而且能够在高信噪比（SNR）区域最小化BER性能。
