Constrained complex-valued ICA without permutation ambiguity based on negentropy maximization

Authors:
Qiu-Hua Lin;Li-Dan Wang;Jian-Gang Lin;Xiao-Feng Gong
Affiliations:
School of Information and Communication Engineering, Dalian University of Technology, Dalian, China;School of Information and Communication Engineering, Dalian University of Technology, Dalian, China;School of Information and Communication Engineering, Dalian University of Technology, Dalian, China;School of Information and Communication Engineering, Dalian University of Technology, Dalian, China
Venue:
LVA/ICA'10 Proceedings of the 9th international conference on Latent variable analysis and signal separation
Year:
2010

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Abstract

Complex independent component analysis (ICA) has found utility in separation of complex-valued signals such as communications, functional magnetic resonance imaging, and frequency-domain speeches. However, permutation ambiguity is a main problem of complex ICA for order-sensitive applications, e.g., frequency-domain speech separation. This paper proposes a semi-blind complex ICA algorithm based on negentropy maximization. The magnitude correlation of a source signal is utilized to constrain the separation process. As a result, the complex-valued signals are separated without permutation. Experiments with synthetic complex-valued signals, synthetic speech signals, and recorded speech signals are performed. The results demonstrate that the proposed algorithm can not only solve the permutation problem, but also achieve slightly improved separation compared to the standard blind algorithm.