Title :
An alternating least-squares algorithm for approximate joint diagonalization and its application to blind source separation
Author :
Saito, Sakuyoshi ; Oishi, Kazuaki ; Furukawa, Toshihiro
Author_Institution :
Dept. of Manage. Sci., Tokyo Univ. of Sci., Tokyo, Japan
Abstract :
This paper presents an iterative alternating least-squares (ALS) algorithm for alternately solving two different least-squares approximate joint diagonalization (LS-AJD) problems for application to convolutive frequency-domain blind source separation (BSS). The constrained forward-model LS-AJD criterion is minimized to estimate the mixing matrix by using the method of Lagrange multipliers. The other criterion, based on backward modeling, is to find the diagonal matrices by the method of least squares. The method of Lagrange multipliers is well suited for accelerating the convergence of the ALS algorithm. The correlation between the interfrequency power ratios is used to prevent misalignment permutation for the new BSS. Finally, we compare our results with those of conventional BSS in highly reverberant environments.
Keywords :
blind source separation; frequency-domain analysis; iterative methods; least squares approximations; matrix algebra; ALS algorithm convergence; BSS; LS-AJD problem; Lagrange multiplier method; alternating least square algorithm; backward modeling; convolutive frequency-domain blind source separation; diagonal matrix; interfrequency power ratio; least square approximate joint diagonalization problem; misalignment permutation; mixing matrix estimation; Approximation algorithms; Blind source separation; Convergence; Joints; Signal processing algorithms; Speech; Blind source separation (BSS); alternating least-squares (ALS) algorithm; convolutive audio mixture; joint diagonalization; method of Lagrange multipliers;
Conference_Titel :
Acoustics, Speech and Signal Processing (ICASSP), 2014 IEEE International Conference on
Conference_Location :
Florence
DOI :
10.1109/ICASSP.2014.6853970
