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论文摘要

基于循环优化的矩阵联合对角化算法及在盲源分离中的应用

Loop Optimization Based Joint Diagonalization Algorithm and Its Application in Blind Source Separation

作者:李昌利(广东海洋大学 信息学院);曹嘉毅(广东海洋大学 信息学院)

Author:Li Changli(School of Info. Eng.,Guangdong Ocean Univ.);Cao Jiayi(School of Info. Eng.,Guangdong Ocean Univ.)

收稿日期:2010-09-16          年卷(期)页码:2011,43(5):159-162

期刊名称:工程科学与技术

Journal Name:Advanced Engineering Sciences

关键字:盲源分离;联合对角化;非对角元素;对角元素;循环优化

Key words:Blind Source Separation(BSS);joint diagonalization;off-diagonal elements;diagonal element;loop optimization

基金项目:国家自然科学基金资助项目(61101211);广东海洋大学引进人才科研资助项目;广东海洋大学自然科学基金资助项目;湛江市科技攻关计划资助项目

中文摘要

通过对一组与盲源分离中观测信号有关的目标矩阵进行近似联合对角化,可以有效解决盲源分离问题。提出一个非正交的循环优化的联合对角化算法。待优化的2个函数分别为矩阵对角化处理后的非对角元素的平方和与对角元素的平方和,通过对两者的循环最小化和最大化处理即可获得对角化器。对比仿真实验表明本文算法可以获得更好的盲源分离效果。

英文摘要

The Approximate Joint Diagonalization (AJD) of a set of target matrices,which are related to the observed signals in Blind Source Separation (BSS),provides an effective method for BSS.A non-orthogonal loop optimization based joint diagonalization algorithm was proposed.Two functions to be optimized were the sum of off-diagonal elements and diagonal elements of the diagonalized matrices,respectively.The diagonalizer was obtained by loop maximization and minimization of these two functions.Simulation experiments showed that the proposed method can achieve better blind source separation effect.

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