Identification of independent components based on borel measure for under-determined mixtures

Authors:
Wenqiang Guo;Tianshuang Qiu;Yuzhang Zhao;Daifeng Zha
Affiliations:
Dalian University of Technology, Dalian, China;Dalian University of Technology, Dalian, China;Xinjiang Institute of Finance and Economics, Urumchi, China;Dalian University of Technology, Dalian, China
Venue:
ISNN'06 Proceedings of the Third international conference on Advances in Neural Networks - Volume Part I
Year:
2006

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Abstract

In this paper, a new method for identifying the independent components of an alpha-stable random vector for under-determined mixtures is proposed. The method is based on an estimate of the discrete Borel measure for the characteristic function of an alpha-stable random vector. Simulations demonstrate that the proposed method can identify independent components and the basis vectors of mixing matrix in the so-called under-determined case of more sources than mixtures.