利用复旋转矩阵的非酉联合对角化算法

doi:10.3969/j.issn.1001-2400.2016.05.002

西安电子科技大学学报

利用复旋转矩阵的非酉联合对角化算法

刘文娟;冯大政

(西安电子科技大学雷达信号处理国家重点实验室，陕西西安 710071)

收稿日期:2015-08-17 出版日期:2016-10-20 发布日期:2016-12-02
通讯作者: 刘文娟
作者简介:刘文娟(1986-)，女，西安电子科技大学博士研究生，E-mail：wjliu@stu.xidian.edu.cn．
基金资助:
国家自然科学基金资助项目(61271293)

Non-unitary joint diagonalization by complex Givens and complex Shear rotation

LIU Wenjuan;FENG Dazheng

(National Key Lab. of Radar Signal Processing, Xidian Univ., Xi'an 710071, China)

Received:2015-08-17 Online:2016-10-20 Published:2016-12-02
Contact: LIU Wenjuan

摘要/Abstract

摘要：

结合复Givens旋转和复Shear旋转，将分离矩阵分解为多个复旋转矩阵的乘积，有效地利用旋转矩阵的结构及目标矩阵经旋转变换后相关元素的巧妙表示，将最小化F范数代价函数问题转化为一系列维数为3×3的实对称矩阵的广义特征向量求解问题，进而提出了一种基于复Givens旋转和复Shear旋转相结合的非酉联合对角化算法．仿真实验结果表明，新算法具有估计精度高、收敛性能稳定等特点．

关键词: 盲信号分离, 非正交联合对角化, 复Givens旋转, 复Shear旋转

Abstract:

The proposed algorithm is based on the combination of complex Givens and complex Shear rotations, which decomposes the de-mixing matrix into a product of complex rotation matrices. By ingenious utilization of the structure of the complex Givens and complex Shear rotations, together with the adequate expression of the concerned variables, the minimization of the F-norm criterion function can be transformed into a sequence of problems of calculating the generalized eigenvector of two 3×3 real symmetric matrices. Numerical simulations illustrate the good performance and convergence property of the proposed algorithm.

Key words: blind source separation, non-orthogonal joint diagonalization, complex Givens rotation, complex Shear rotation

刘文娟;冯大政. 利用复旋转矩阵的非酉联合对角化算法[J]. 西安电子科技大学学报, 2016, 43(5): 6-11.

LIU Wenjuan;FENG Dazheng. Non-unitary joint diagonalization by complex Givens and complex Shear rotation[J]. Journal of Xidian University, 2016, 43(5): 6-11.

参考文献

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利用复旋转矩阵的非酉联合对角化算法

Non-unitary joint diagonalization by complex Givens and complex Shear rotation

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