ICA with multiple quadratic constraints

Xuejun Liao, Lawrence Carin

Research output: Chapter in Book/Report/Conference proceedingConference contribution


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.
Original languageEnglish (US)
Title of host publicationICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Number of pages4
StatePublished - Sep 25 2003
Externally publishedYes


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