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A Modified Eigenvector Method for Blind Deconvolution of MIMO Systems Using the Matrix Pseudo-Inversion Lemma
Author(s) -
Mitsuru Kawamoto,
Kiyotaka Kohno,
Yujiro Inouye,
Koichi Kurumatani
Publication year - 2011
Publication title -
circuits and systems
Language(s) - English
Resource type - Journals
eISSN - 2153-1293
pISSN - 2153-1285
DOI - 10.4236/cs.2011.21002
Subject(s) - eigenvalues and eigenvectors , mimo , blind deconvolution , algorithm , deconvolution , computer science , inverse , lemma (botany) , inversion (geology) , matrix (chemical analysis) , mathematics , telecommunications , physics , ecology , channel (broadcasting) , paleontology , geometry , poaceae , quantum mechanics , structural basin , biology , materials science , composite material
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

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