Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2015-03-01

Journal: IEEE TRANSACTIONS ON SIGNAL PROCESSING

Included Journals: Scopus、EI、SCIE

Volume: 63

Issue: 5

Page Number: 1322-1334

ISSN: 1053-587X

Key Words: Blind source separation; joint diagonalization; LU decomposition; successive rotation

Abstract: Non-orthogonal joint diagonalization (NJD) free of prewhitening has been widely studied in the context of blind source separation (BSS) and array signal processing, etc. However, NJD is used to retrieve the jointly diagonalizable structure for a single set of target matrices which are mostly formulized with a single dataset, and thus is insufficient to handle multiple datasets with inter-set dependences, a scenario often encountered in joint BSS (J-BSS) applications. As such, we present a generalized NJD (GNJD) algorithm to simultaneously perform asymmetric NJD upon multiple sets of target matrices with mutually linked loading matrices, by using LU decomposition and successive rotations, to enable J-BSS over multiple datasets with indication/exploitation of their mutual dependences. Experiments with synthetic and real-world datasets are provided to illustrate the performance of the proposed algorithm.