J4 ›› 2009, Vol. 36 ›› Issue (3): 401-432.

• Original Articles • Previous Articles     Next Articles

Blind source separation method applicable to dependent sources

Zhang Yanliang1,LOU Shuntian1,ZHANG Weitao2   

  1. (1. School of Electronic Engineering, Xidian Univ., Xi'an  710071, China;
    2. Dept. of Computer Sci. and Tech., Henna Polytechnic Univ., Jiaozuo  454001, China)
  • Received:2008-03-17 Revised:2008-04-28 Online:2009-06-20 Published:2009-07-04
  • Contact: Zhang Yanliang E-mail:ylzhang119@qq.com

Abstract:

The existing methods of blind source separation are mostly based on the precondition of independence of sources. A new blind source separation method is proposed in this paper, which is a two-stage approach and applicable to instantaneous mixtures of dependent sources. Firstly, variances of the ratio between two sensors are compared. Sequent sampling instants, whose variances are equal, are the instants at which only one source exists. The vectors of observation at these instants, are the estimate of the corresponding columns at the mixing matrix. By using this property, the mixing matrix can be estimated correctly. Then, the de-mixing matrix is obtained and sources are recovered. Simulation results illustrate the correctness of the algorithm.

Key words: blind source separation, independent component analysis, dependent sources, vectors of observation, de-mixing matrix