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个人信息Personal Information
教授
博士生导师
硕士生导师
主要任职:信息与通信工程学院副院长
其他任职:电子技术教研室主任
性别:男
毕业院校:北京理工大学
学位:博士
所在单位:信息与通信工程学院
学科:通信与信息系统. 信号与信息处理
办公地点:海山楼B511
联系方式:QQ:51574683
电子邮箱:xfgong@dlut.edu.cn
Complex non-orthogonal joint diagonalization based on LU and LQ decompositions
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论文类型:会议论文
发表时间:2012-03-12
收录刊物:EI、Scopus
卷号:7191 LNCS
页面范围:50-57
摘要:In this paper, we propose a class of complex non-orthogonal joint diagonalization (NOJD) algorithms with successive rotations. The proposed methods consider LU or LQ decompositions of the mixing matrices, and propose to solve the NOJD problem via two successive stages: L-stage and U (or Q)-stage. Moreover, as the manifolds of target matrices in these stages could be appropriately parameterized by a sequence of simple elementary triangular or unitary matrices, which depend on only one or two parameters, the high-dimensional minimization problems could be replaced by a sequence of lower-dimensional ones. As such, the proposed algorithms are of simple closed-form in each iteration, and do not require the target matrices to be Hermitian nor positive definite. Simulations are provided to compare the proposed methods to other complex NOJD methods. ? 2012 Springer-Verlag.