Jacobi Angles for Simultaneous Diagonalization
SIAM Journal on Matrix Analysis and Applications
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Quadratic optimization for simultaneous matrix diagonalization
IEEE Transactions on Signal Processing
Convolutive blind source separation by fourth-order statistics
ICICS'09 Proceedings of the 7th international conference on Information, communications and signal processing
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This paper proposes a new method for convolutive blind speech separation by decorrelation. First, by the design of a FIR separating filter and a whitening process of the observed data, the separation of convolutive speech mixtures are transformed to find a semi-unitary separating matrix. Then we estimate the separating semi-unitary matrix by the semi-unitary joint diagonalization for a set of correlation matrices. And a numerical algortihm for semi-unitary joint diagonalziation is proposed. Simulation results of speech separation demonstrate the effectiveness of the new approach.