首页 | 本学科首页   官方微博 | 高级检索  
     

基于ICA的盲信号分离正定性检验方法
引用本文:张登科. 基于ICA的盲信号分离正定性检验方法[J]. 电子学报, 2012, 40(11): 2303-2308. DOI: 10.3969/j.issn.0372-2112.2012.11.025
作者姓名:张登科
作者单位:清华大学生物医学工程实验室,北京,100084
摘    要: 盲信号分离中,判断观测信号个数与实际信源个数的关系对于信号分离算法的选择和算法效果的评估非常重要,但目前还缺乏有效的方法对正定和欠定情况进行区分性检验.针对这一问题,本文提出两种检验方法.第一种方法通过分析整个数据序列ICA分解输出分量之间的独立性来实现.理论分析表明,欠定条件下ICA分解输出分量之间必然不具有独立性,而正定条件下,只要源信号满足独立的前提假设,ICA分解输出分量之间可以相互独立.第二种方法中,我们对数据序列不同位置添加等长时间窗,根据ICA分解基向量的稳定性来检验正定性.理论分析表明,正定条件下不同窗口数据ICA分解的基向量都收敛到混合阵的基向量上,而欠定条件下,分解得到的基向量随不同时窗内源信号分布的变化而改变.本文通过仿真实验,证明了这两种方法的可行性.

关 键 词:盲信号分离  欠定  正定性  独立分量分析  基向量稳定性
收稿时间:2011-09-30

Approaches for Checking Determinnancy in ICA-Based BSS
ZHANG Deng-ke. Approaches for Checking Determinnancy in ICA-Based BSS[J]. Acta Electronica Sinica, 2012, 40(11): 2303-2308. DOI: 10.3969/j.issn.0372-2112.2012.11.025
Authors:ZHANG Deng-ke
Affiliation:Laboratory of Neural Engineering,Tsinghua University,100084,China
Abstract:In a blind signal separation problem,for the purpose of algorithm selection and results evaluation,it is important to check the determinacy of the observation matrix.To the best of our knowledge,there is no available way to tell the determined case from the underdetermined one under the condition of full rank.To overcome this problem,we propose two methods based on ICA (independent component analysis) for determinancy check.In the first approach,we check the determinancy by looking into the independency of the output signals estimated by ICA.In theory,the outputs won't be independent in the underdetermined case,while in the determined case,the outputs will be independent if the source signals are independent.In the second approach,the observation data is windowed,and different windowed signal series are acquired by shifting the center of the rectangular window.when ICA is performed on the signal series,the basis vectors which are columns of the inverse of unmixing matrix are supposed to be stable in the determined case while unstable in the underdetermined case due to the variation of source signals’ statistical distribution.Experimental results show that our methods achieved good performance.
Keywords:blind source separation (BSS)  underdetermined  determinancy  independent component analysis (ICA)  stability of basis vectors
本文献已被 万方数据 等数据库收录!
点击此处可从《电子学报》浏览原始摘要信息
点击此处可从《电子学报》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号