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Block-Wise QR-Decomposition for the Layered and Hybrid Alamouti STBC MIMO Systems: Algorithms and Hardware Architectures

机译:分层和混合式Alamouti STBC MIMO系统的逐块QR分解:算法和硬件架构

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摘要

Unlike the channel matrix in the spatial division multiplexing (SDM) multiple-input multiple-output (MIMO) communication system, the equivalent channel matrix in the layered Alamouti space-time block coding (STBC) MIMO system comprised 2-by-2 Alamouti sub-blocks. One novel property, found by Sayed about the QR-decomposition (QRD) of this equivalent channel matrix is that the produced ${rm Q}$- and ${rm R}$-matrices are also matrices with Alamouti sub-blocks. Taking advantage of this property, we propose a new block-wise complex Givens rotation (BCGR) based algorithm and a triangular systolic array (TSA) to compute the QRD of the equivalent channel matrix in an Alamouti block by block manner. Implementation results reveal that our new TSA can compute QRDs of 4-by-4 equivalent channel matrices faster than any architecture that has been developed for the SDM MIMO system. This property of fast QRD makes our TSA very attractive for the layered Alamouti STBC MIMO system combined with the orthogonal frequency division multiplexing. Our new BCGR based approach can also be applied to the hybrid Alamouti STBC MIMO system, which is also a system with equivalent channel matrix consisting of Alamouti sub-blocks.
机译:与空分复用(SDM)多输入多输出(MIMO)通信系统中的信道矩阵不同,分层Alamouti空时分组编码(STBC)MIMO系统中的等效信道矩阵包括2 x 2 Alamouti子-块。关于此等效通道矩阵的QR分解(QRD),Sayed 发现了一个新颖的属性,即产生的 $ {rm Q} $ -和 $ {rm R} $ -矩阵也是具有Alamouti子块的矩阵。利用这一特性,我们提出了一种新的基于块状复杂基韦斯旋转(BCGR)的算法和一个三角形脉动阵列(TSA),以逐块方式计算Alamouti块中等效信道矩阵的QRD。实施结果表明,我们的新TSA可以比为SDM MIMO系统开发的任何体系结构更快地计算4×4等效信道矩阵的QRD。快速QRD的这种特性使我们的TSA对于结合了正交频分复用的分层Alamouti STBC MIMO系统非常有吸引力。我们基于BCGR的新方法也可以应用于混合式Alamouti STBC MIMO系统,该系统也是具有由Alamouti子块组成的等效信道矩阵的系统。

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