基于QR分解的盲源分离几何算法

何昭水; 谢胜利; 章晋龙

引用本文:	何昭水, 谢胜利, 章晋龙.基于QR分解的盲源分离几何算法[J].控制理论与应用,2005,22(1):17~22.[点击复制]
	HE Zhao-shui, XIE Sheng-li, ZHANG Jin-long.Geometrical algorithm of blind source separation based on QR decomposition[J].Control Theory and Technology,2005,22(1):17~22.[点击复制]

基于QR分解的盲源分离几何算法

Geometrical algorithm of blind source separation based on QR decomposition

摘要点击 1790 全文点击 1910 投稿时间：2002-06-12 修订日期：2002-11-21

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DOI编号 10.7641/j.issn.1000-8152.2005.1.004

2005,22(1):17-22

中文关键词 Givens变换白化 Scatter图盲分离

英文关键词 Givens transform whiten Scatter plot blind separation

基金项目国家杰出青年科学基金资助项目(60325310); 国家自然科学基金资助项目(60274006); 广东省自然科学重点基金资助项目(020826); 教育部跨世纪优秀人才基金资助项目; 广东省自然科学团队研究项目(04205783).

作者	单位
何昭水, 谢胜利, 章晋龙	华南理工大学无线电与自动控制研究所,广东广州 510640

中文摘要

提出了一类新的实时线性混叠信号盲分离算法,该算法基于混叠矩阵的QR分解思想,结合均匀分布的源信号相互独立时其Scatter图具有的特殊形状以及与坐标轴平行的几何性质,导出了一类盲源分离的几何算法.本文的方法相对Taro和Hyvarinen而言,大大简化了其分离过程,从而缩短了分离时间.仿真结果表明,对同样两幅混叠图像的分离,在效果相当的情况下,本文算法的分离时间比Hyvarinen的分离时间缩短了约2.5倍.

英文摘要

Geometric algorithms for blind signal separation(BSS) have recently received some attention due to their pictorial description and their relative ease of implementation.We present a new blind separation algorithm of instantaneous mixing (model,)which is based on QR decomposition of mixing matrix.And the scatter plot of source signals show special geometrical shape when source signals are statistically independent and uniformly distributed.Comparing with Taro or Hyvarinen algorithms,this algorithm is very simple and fast.Simulation result shows that the separation time of our algorithm is two and half times shorter than that of Taro and Hyvarinen under the same separation performance and the same source signals.