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A Modified Eigenvector Method for Blind Deconvolution of MIMO Systems Using the Matrix Pseudo-Inversion Lemma

机译:使用矩阵伪反引理的MIMO系统盲反卷积的改进特征向量方法

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摘要

Recently we have developed an eigenvector method (EVM) which can achieve the blind deconvolution (BD) for MIMO systems. One of attractive features of the proposed algorithm is that the BD can be achieved by calculating the eigenvectors of a matrix relevant to it. However, the performance accuracy of the EVM depends highly on computational results of the eigenvectors. In this paper, by modifying the EVM, we propose an algorithm which can achieve the BD without calculating the eigenvectors. Then the pseudo-inverse which is needed to carry out the BD is calculated by our proposed matrix pseudo-inversion lemma. Moreover, using a combination of the conventional EVM and the modified EVM, we will show its performances comparing with each EVM. Simulation results will be presented for showing the effectiveness of the proposed methods. 【Keywords】 Blind Signal Processing, Blind Deconvolution, Eigenvector Methods, Super-Exponential Mthods,MIMO Systems, Matrix Pseudo-Inversion Lemma;
机译:最近,我们开发了一种本征矢量方法(EVM),该方法可以实现MIMO系统的盲反卷积(BD)。所提出算法的吸引人的特征之一是,可以通过计算与其相关的矩阵的特征向量来实现BD。但是,EVM的性能精度在很大程度上取决于特征向量的计算结果。在本文中,通过修改EVM,我们提出了一种无需计算特征向量即可实现BD的算法。然后通过我们提出的矩阵伪逆引理计算出进行BD所需的伪逆。此外,结合使用传统的EVM和修改后的EVM,我们将展示其与每个EVM相比的性能。仿真结果将被展示以表明所提出方法的有效性。 【关键词】盲信号处理;盲反卷积;特征向量法;超指数方法; MIMO系统;矩阵伪反引理;

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