Non-orthogonal joint block diagonalization based on the LU or QR factorizations for convolutive blind source separation

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2017
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Abstract
This article addresses the problem of blind source separation, in which the source signals are most often of the convolutive mixtures, and moreover, the source signals cannot satisfy independent identical distribution generally. One kind of prevailing and representative approaches for overcoming these difficulties is joint block diagonalization (JBD) method. To improve present JBD methods, we present a class of simple Jacobi-type JBD algorithms based on the LU or QR factorizations. Using Jacobi-type matrices we can replace high dimensional minimization problems with a sequence of simple one-dimensional problems. The novel methods are more general i.e. the orthogonal, positive definite or symmetric matrices and a preliminary whitening stage is no more compulsorily required, and further, the convergence is also guaranteed. The performance of the proposed algorithms, compared with the existing state-of-the-art JBD algorithms, is evaluated with computer simulations and vibration experimental. The results of numerical examples demonstrate that the robustness and effectiveness of the two novel algorithms provide a significant improvement i.e., yield less convergence time, higher precision of convergence, better success rate of block diagonalization. And the proposed algorithms are effective in separating the vibration signals of convolutive mixtures.
Reference Key
zhang2017nonorthogonaljournal Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Zhang, Lei;Cao, Yueyun;Yang, Zichun;Weng, Lei;
Journal journal of vibroengineering
Year 2017
DOI
DOI not found
URL
https://www.jvejournals.com/article/18039
Keywords
Medicine Engineering (General). Civil engineering (General) Biotechnology Computer applications to medicine. Medical informatics Mechanical engineering and machinery Science neurosciences. biological psychiatry. neuropsychiatry telecommunication electronics mathematics

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