Nonnegative least-correlated component analysis for separation of dependent sources by volume maximization

Although significant efforts have been made in developing nonnegative blind source separation techniques, accurate separation of positive yet dependent sources remains a challenging task. In this paper, a joint correlation function of multiple signals is proposed to reveal and confirm that the obser...

Ausführliche Beschreibung

Bibliographische Detailangaben
Veröffentlicht in:IEEE transactions on pattern analysis and machine intelligence. - 1979. - 32(2010), 5 vom: 18. Mai, Seite 875-88
1. Verfasser: Wang, Fa-Yu (VerfasserIn)
Weitere Verfasser: Chi, Chong-Yung, Chan, Tsung-Han, Wang, Yue
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2010
Zugriff auf das übergeordnete Werk:IEEE transactions on pattern analysis and machine intelligence
Schlagworte:Journal Article Research Support, N.I.H., Extramural Research Support, Non-U.S. Gov't
Beschreibung
Zusammenfassung:Although significant efforts have been made in developing nonnegative blind source separation techniques, accurate separation of positive yet dependent sources remains a challenging task. In this paper, a joint correlation function of multiple signals is proposed to reveal and confirm that the observations after nonnegative mixing would have higher joint correlation than the original unknown sources. Accordingly, a new nonnegative least-correlated component analysis (n/LCA) method is proposed to design the unmixing matrix by minimizing the joint correlation function among the estimated nonnegative sources. In addition to a closed-form solution for unmixing two mixtures of two sources, the general algorithm of n/LCA for the multisource case is developed based on an iterative volume maximization (IVM) principle and linear programming. The source identifiability and required conditions are discussed and proven. The proposed n/LCA algorithm, denoted by n/LCA-IVM, is evaluated with both simulation data and real biomedical data to demonstrate its superior performance over several existing benchmark methods
Beschreibung:Date Completed 23.06.2010
Date Revised 19.03.2010
published: Print
Citation Status MEDLINE
ISSN:1939-3539
DOI:10.1109/TPAMI.2009.72