Non-symmetrical non-orthogonal fast joint diagonalization algorithm

被引：0
|
作者：
Zhang W.-T. [1 ]
Lou S.-T. [1 ]
Zhang Y.-L. [1 ,2 ]
机构：
[1] School of Electronic Engineering, Xidian University
[2] Department of Computer Science and Technology, Henan Polytechnic University
来源：
Zidonghua Xuebao/Acta Automatica Sinica | 2010年 / 36卷 / 06期
关键词：
Blind source separation; Cyclic minimizer; Joint diagonalization; Least-squares criteria; Nonsingular;
D O I：
10.3724/SP.J.1004.2010.00829
中图分类号：
学科分类号：
摘要：
To overcome the drawbacks of slow convergence speed and possible singular solutions of existing nonsymmetrical joint diagonalization algorithm, we first present a least-squares criteria based non-symmetrical cost function for joint diagonalization, in which a penalty term is added to the classical least-squares criteria to avoid singular solutions. Then a non-symmetrical non-orthogonal fast joint diagonalization algorithm is developed by using a cyclic minimizer technique. The performance analysis shows that the present algorithm globally asymptotically converges to the stable stationary point and has the invariance property. The relation between left and right diagonalization matrices is also investigated to show that the non-symmetrical joint diagonalization is a more general form for joint diagonalization problem. The simulation results show that the proposed algorithm converges faster than the original algorithm, and that the interference to signal ratio (ISR) is also significantly improved. Copyright © 2010 Acta Automatica Sinica. All right reserved.
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页码：829 / 836
页数：7
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