Improved single PARAFAC decomposition based blind MIMO system estimation

Yuanning Yu, A. Petropulu
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Abstract

We consider the problem of frequency domain identification of a multiple-input multiple-output (MIMO) system driven by white, mutually independent unobservable inputs. In particular, we improve upon a method recently proposed by the authors that uses PARAFAC decomposition of a tensor that is formed based on higher-order statistics of the system output. The approach of Y. Yu and A.P. Petropulu, 2005, utilizes only one slice of the output tensor to recover one row of the system response matrix. We proposed an approach that fully exploits the information in the output tensor, and as a result achieves lower error values. The proposed modification renders the method applicable to systems with more inputs than outputs
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基于改进单PARAFAC分解的盲MIMO系统估计
我们考虑由白色、相互独立的不可观察输入驱动的多输入多输出(MIMO)系统的频域识别问题。特别是,我们改进了作者最近提出的一种方法,该方法使用基于系统输出的高阶统计量形成的张量的PARAFAC分解。Y. Yu和A.P. Petropulu, 2005的方法仅利用输出张量的一个片来恢复系统响应矩阵的一行。我们提出了一种充分利用输出张量中的信息的方法,从而获得更小的误差值。所提出的修改使该方法适用于输入多于输出的系统
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