华南理工大学学报(自然科学版) ›› 2007, Vol. 35 ›› Issue (5): 50-53.

• 电子、通信与自动控制 • 上一篇    下一篇

盲信号分离输出与源信号的一致性判断

姚志湘1 刘焕彬1 粟晖2   

  1. 1.华南理工大学 制浆造纸工程国家重点实验室,广东 广州 510640;2. 广西工学院 生物与化学工程系,广西 柳州 545006
  • 收稿日期:2006-05-15 出版日期:2007-05-25 发布日期:2007-05-25
  • 通信作者: 姚志湘(1968-),男,博士后出站,广西工学院教授,主要从事过程分析技术方面的研究. E-mail:zxyao@21cn.com
  • 作者简介:姚志湘(1968-),男,博士后出站,广西工学院教授,主要从事过程分析技术方面的研究.
  • 基金资助:

    中国博士后科学基金资助项目(2005037583) ;广西自然科学基金资助项目(桂科基0448010)

Judgment on Consistency of Blind Source Separation Outputs with Source Signals

Yao Zhi-xiangLiu Huan-binSu Hui2   

  1. 1. State Key Laboratory of Pulp and Paper Making Engineering, South China Univ. of Tech. , Guangzhou 510640 , Guangdong, China;2. Dept. of Biological and Chemical Engineering, Guangxi Univ. of Tech. , Liuzhou 545006 , Guangxi , China
  • Received:2006-05-15 Online:2007-05-25 Published:2007-05-25
  • Contact: 姚志湘(1968-),男,博士后出站,广西工学院教授,主要从事过程分析技术方面的研究. E-mail:zxyao@21cn.com
  • About author:姚志湘(1968-),男,博士后出站,广西工学院教授,主要从事过程分析技术方面的研究.
  • Supported by:

    中国博士后科学基金资助项目(2005037583) ;广西自然科学基金资助项目(桂科基0448010)

摘要: 针对盲信号分离需要判断分离结果与源信号是否一致的问题,基于统计独立变量函数仍然保持"统计独立"的性质,提出了独立分量分析( ICA) 的输出分量与源信号的一致性判断方法.该方法通过计算混合信号及其差分值混合矩阵的相关矩阵,根据ICA各分量对应的最大相关系数来判断ICA 各分量与源信号的一致性.模拟计算和实验结果表明:若差分前后混合矩阵的最大相关系数趋近于1 ,则ICA 输出分量与对应的源信号一致;为保证分离的准确,差分前后混合矩阵的最大相关系数不应小于0.8.

关键词: 盲信号分离, 独立分量分析, 差分, 可靠性

Abstract:

In the blind source separation (BSS) , it is necessarγto judge whether the BSS outputs are consistent with the source signals. In this paper , based on the statistical independence of statistical independence variable functions , a method to judge the consistency of the outputs in independent component analysis (ICA) with the source signals is presented. In this method , the correlation matrix of two mixing matrices which respectively belong
to the source signals and the source differences is calculated , and the consistencies of the independent components with the source signals are then judged according to the maximum correlation coefficients corresponding to each independent component. Simulated and experimental results indicate that the independent components are consistent with the corresponding source signals when the maximum correlation coefficients converge 1 , and that the maximum correlation coefficient should not be less than O. 8 to ensure the separation accuracy.

Key words: Blind Source Separation, Independent Component Analysis, difference, reliability