计算机科学 ›› 2016, Vol. 43 ›› Issue (Z11): 320-323.doi: 10.11896/j.issn.1002-137X.2016.11A.075

• 无线网络与通信 • 上一篇    下一篇

基于仿射投影-非线性主分量分析的盲源分离

李雄杰,周东华   

  1. 浙江工商职业技术学院电子信息工程系 宁波315012;清华大学自动化系 北京100084,清华大学自动化系 北京100084
  • 出版日期:2018-12-01 发布日期:2018-12-01
  • 基金资助:
    本文受国家自然科学基金(61210012)资助

Blind Source Separation Based on Affine Projection and Nonlinear Principal Component Analysis

LI Xiong-jie and ZHOU Dong-hua   

  • Online:2018-12-01 Published:2018-12-01

摘要: 仿射投影算法(APA)重复利用数据,可提高算法的收敛速度。针对现有盲源分离收敛速度慢的问题,以盲源分离的非线性主分量分析(PCA)为基础,结合仿射投影算法,提出了盲源分离的非线性APA-PCA准则,并设计出盲源分离的APA-Kalman,APA-RLS,APA-LMS新算法。在这些新算法中,预白化后的观测向量数据被重复利用,向量式数据转变成矩阵式数据,从而加快了盲源分离的收敛速度。仿真结果表明,非线性APA-PCA准则是有效的。

关键词: 盲源分离,仿射投影算法,主分量分析,分离准则

Abstract: The affine projection algorithm (APA) can improve the algorithm convergence speed by repeated using the data.Aiming at the problem of slow convergence in the existing blind source separation (BSS),based on the nonlinear principal component analysis (PCA) for BSS,this paper proposed a nonlinear APA-PCA criterion by using the idea of APA,and the new APA-Kalman,APA-RLS and APA-LMS algorithms for BSS is designed.In these new algorithms,the prewhitened observation vector data is utilized in a repeated fashion,and the vector data is thus converted into matrix data.The convergence rate of BSS is accelerated.The simulation results show that the nonlinear APA-PCA criterion is effective and universal.

Key words: Blind source separation,Affine projection algorithm,Principal component analysis,Separation criterion

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