稀疏盲源分离问题的恢复性研究

广东工业大学学报 ›› 2008, Vol. 25 ›› Issue (2): 44-46.

稀疏盲源分离问题的恢复性研究

广东工业大学应用数学学院；广东工业大学应用数学学院广东广州510006；广东广州510006；

出版日期:2008-06-01 发布日期:2008-06-01

Recoverability Analysis of Sparse Blind Source Separation

Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006,China

Online:2008-06-01 Published:2008-06-01

摘要/Abstract

摘要： 采用稀疏分量分析方法,研究了基于稀疏表示的欠定混叠盲信号分离的可恢复性,给出了在l2范数下,源信号可恢复的充分必要条件,并进一步讨论了l2范数解对噪声的鲁棒性.

关键词: 欠定混叠；盲信号分离；稀疏表示； l2范数解；

Abstract: By adopting the method of sparse component analysis,it discusses the recoverability of underdetermined blind source separation based on sparse representation.It establishes the sufficient and necessary conditions of source’s recoverability under l2-norm.And it further discusses the robustness of the l2-norm solution to additive noise.

Key words: underdetermined mixing； blind source separation； sparse representation； l-norm solution；

王华丹；刘海林； . 稀疏盲源分离问题的恢复性研究[J]. 广东工业大学学报, 2008, 25(2): 44-46.

Wang Hua-dan,Liu Hai-lin. Recoverability Analysis of Sparse Blind Source Separation[J]. Journal of Guangdong University of Technology, 2008, 25(2): 44-46.

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