@inproceedings{7751cdcc12dd4ee39e9a68e0941dfd9e,
title = "A study of identifibility for blind source separation via non-orthogonal joint diagonalization",
abstract = "The problem of blind source separation (BSS) using joint diagonalization of a set of non-unitary eigen-matrices that are obtained with the observed signal vector sequence is addressed in this paper. A theoretical study is conducted of the identifiability of joint diagonalization of non-orthogonal matrices so as to generalize some known results for the orthogonal case. In particular, a mathematical proof is provided for essential uniqueness of general joint diagonalization, that is to say, all the estimated mixing matrices extracted from the non-unitary eigen-matrix group are essentially equal within an arbitrary permutation and scaling. The non-orthogonal identifiability theorem given in this paper serves as a mathematical foundation for the BSS methods based on the non-orthogonal joint diagonalization.",
author = "Hua Zhang and Feng, {Da Zheng} and Wei, {Xing Zheng}",
year = "2008",
doi = "10.1109/ISCAS.2008.4542146",
language = "English",
isbn = "9781424416844",
series = "Proceedings - IEEE International Symposium on Circuits and Systems",
pages = "3230--3233",
booktitle = "2008 IEEE International Symposium on Circuits and Systems, ISCAS 2008",
note = "2008 IEEE International Symposium on Circuits and Systems, ISCAS 2008 ; Conference date: 18-05-2008 Through 21-05-2008",
}