Joint blind source separation by multiset canonical correlation analysis

Yi Ou Li, Tülay Adali, Wei Wang, Vince D. Calhoun

Research output: Contribution to journalArticle

Abstract

In this paper, we introduce a simple and effective scheme to achieve joint blind source separation (BSS) of multiple datasets using multiset canonical correlation analysis (M-CCA) [J. R. Kettenring, "Canonical analysis of several sets of variables," Biometrika, vol. 58, pp. 433-451, 1971]. We first propose a generative model of joint BSS based on the correlation of latent sources within and between datasets. We specify source separability conditions, and show that, when the conditions are satisfied, the group of corresponding sources from each dataset can be jointly extracted by M-CCA through maximization of correlation among the extracted sources. We compare source separation performance of the M-CCA scheme with other joint BSS methods and demonstrate the superior performance of the M-CCA scheme in achieving joint BSS for a large number of datasets, group of corresponding sources with heterogeneous correlation values, and complex-valued sources with circular and non-circular distributions. We apply M-CCA to analysis of functional magnetic resonance imaging (fMRI) data from multiple subjects and show its utility in estimating meaningful brain activations from a visuomotor task.

Original languageEnglish (US)
Pages (from-to)3918-3929
Number of pages12
JournalIEEE Transactions on Signal Processing
Volume57
Issue number10
DOIs
StatePublished - Oct 15 2009
Externally publishedYes

Keywords

  • Canonical correlation analysis
  • Group analysis
  • Independent component analysis
  • Joint blind source separation

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

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