A Matrix Joint Diagonalization Approach for Complex Independent Vector Analysis

  • Hao Shen
  • Martin Kleinsteuber
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7191)

Abstract

Independent Vector Analysis (IVA) is a special form of Independent Component Analysis (ICA) in terms of group signals. Most IVA algorithms are developed via optimizing certain contrast functions. The main difficulty of these contrast function based approaches lies in estimating the unknown distribution of sources. On the other hand, tensorial approaches are efficient and richly available to the standard ICA problem, but unfortunately have not been explored considerably for IVA. In this paper, we propose a matrix joint diagonalization approach to solve the complex IVA problem. A conjugate gradient algorithm on an appropriate manifold setting is developed and investigated by several numerical experiments.

Keywords

Complex blind source separation independent vector analysis complex oblique projective manifold conjugate gradient algorithm 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Hao Shen
    • 1
  • Martin Kleinsteuber
    • 1
  1. 1.Department of Electrical Engineering and Information TechnologyTechnische Universität MünchenGermany

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