Sensitivity of joint approximate diagonalization in FD BSS

Authors:
Savaskan Bulek;Nurgun Erdol
Affiliations:
Department of Electrical Engineering, Florida Atlantic University, Boca Raton, Florida;Department of Electrical Engineering, Florida Atlantic University, Boca Raton, Florida
Venue:
LVA/ICA'10 Proceedings of the 9th international conference on Latent variable analysis and signal separation
Year:
2010

Citing 3
Cited 0

Joint Approximate Diagonalization of Positive Definite Hermitian Matrices

SIAM Journal on Matrix Analysis and Applications
Permutation correction in the frequency domain in blind separation of speech mixtures

EURASIP Journal on Applied Signal Processing
Sensitivity Analysis for the Problem of Matrix Joint Diagonalization

SIAM Journal on Matrix Analysis and Applications

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Abstract

This paper investigates the sensitivity of the joint approximate diagonalization of a set of time varying cross-spectral matrices for blind separation of convolutive mixtures of speech signals. We introduce the multitaper method of cross-spectrum estimation. Based on the work of [1] factors affecting the sensitivity of the joint approximate diagonalization problem were investigated. We studied the effect of the number of matrices in the set, and observed that there exists a link between the uniqueness of the joint diagonalizer measured by modulus of uniqueness parameter and the estimation of demixing system parameters.