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ICA with multiple quadratic constraints

Publication ,  Journal Article
Liao, X; Carin, L
Published in: ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
January 1, 2003

The independent component analysis (ICA) with a single quadratic constraint on each source signal or column of the mixing matrix is extended to the case of multiple quadratic constraints. The criterion of Joint Approximate Diagonalization of Eigen-matrices (JADE) is used to measure the statistical independence. A new algorithm is derived to maximize the JADE criterion subject to the multiple quadratic constraints, using the augmented Lagrangian method. The extension offers the freedom to design various combinations of quadratic constraints. Examples include simultaneously constraining a source signal and the corresponding column of the mixing matrix, and two-sided constraints on the source signals or columns of the mixing matrix. Example results are provided to demonstrate the effectiveness of the algorithm.

Duke Scholars

Published In

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

ISSN

1520-6149

Publication Date

January 1, 2003

Volume

5

Start / End Page

313 / 316
 

Citation

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ICMJE
MLA
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Liao, X., & Carin, L. (2003). ICA with multiple quadratic constraints. ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, 5, 313–316.
Liao, X., and L. Carin. “ICA with multiple quadratic constraints.” ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings 5 (January 1, 2003): 313–16.
Liao X, Carin L. ICA with multiple quadratic constraints. ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. 2003 Jan 1;5:313–6.
Liao, X., and L. Carin. “ICA with multiple quadratic constraints.” ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, vol. 5, Jan. 2003, pp. 313–16.
Liao X, Carin L. ICA with multiple quadratic constraints. ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. 2003 Jan 1;5:313–316.

Published In

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

ISSN

1520-6149

Publication Date

January 1, 2003

Volume

5

Start / End Page

313 / 316