Title: Joint diagonalisation via weighted generalised eigenvalue decomposition
Author: Jun Liu, Jingli Li
LinkQuest Inc., San Diego, CA 92121, USA.
TopWorx, Louisville, KY 40213, USA
Abstract: In this correspondence, we propose a new approach for joint diagonalisation of multiple matrices. The proposed algorithm performs generalised eigenvalue decomposition (GEVD) of two weighted matrices, and then optimises the weighting factors so that an upper bound of the mean square error (MSE) of the estimates of the mixing matrix is minimised. The proposed scheme can solve the potential problem in the initialisation step of several existing joint diagonalisation algorithms in the presence of repeated eigenvalues. The simulation results indicate that weighted diagonalisation offers competitive performance for joint diagonalisation.
Keywords: joint diagonalisation; generalised eigenvalue decomposition; GEVD; mean square error; MSE; weighted diagonalisation; optimiseation; weighting factors; simulation.
Int. J. of Information Technology, Communications and Convergence, 2011 Vol.1, No.3, pp.318 - 330
Available online: 28 Aug 2011