一种线性混合信号盲提取算法
An Algorithm for Blind Signal Extraction of Linear Mixture
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摘要: 该文给出了信号变化度的定义,并证明了独立源信号的线性混合信号(非零信号)的变化度介于源信号中的最小变化度和最大变化度之间。在此性质的基础上,给出了一种线性混合信号盲提取算法。该算法首先利用广义特征值理论从混合信号中提取出一个源信号, 然后采用消源方法剔出混合信号中该源信号分量,重复这一过程,逐一提取出所有的源信号。该算法计算简单,仿真结果表明该算法是有效的,并具有很好的性能。
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关键词:
- 信号变化度;盲信号提取;广义特征值
Abstract: In this paper, a measure of signal variability is defined. Given any set of statistically independent source signals, it is proved here that a linear mixture of those signals has the following property: the signal variability of any signal mixture is greater than (or equal to) minimal that of its component source signals, and is less than (or equal to) maximal that of its component source signals. Based on the property, an algorithm for linear blind signal extraction is proposed. In the proposed algorithm, the source signal is extracted one by one by using generalized eigenvalue theory and deflation approach. The presented algorithm has less computations. Simulation results illustrate the efficiency and the good performance of the algorithm. -
He Zhenya, Yang Luxi, Liu Ju. Blind source separation using cluster-based multivariate density estimation algorithm[J].IEEE Trans. on Signal Processing.2000, 48(2):575-[2]何振亚,刘琚,杨绿溪. 盲均衡和信道参数估计的一种ICA和进化计算方法. 中国科学(E辑), 2000, 30(1): 1.7.[3]张贤达,朱孝龙,保铮. 基于分阶段学习的盲信号分离,中国科学(E辑),2002,32(5): 693.703.[4]Taro Y, Hirokawa K, Itoh K. Independent component analysis by transforming a scatter diagram of mixtures of signal[J].Optics Communications.2000, 173(1):107-[5]谢胜利,章晋龙. 基于旋转变换的最小互信息量盲分离算法.电子学报,2002, 30(5):628.631.[6]Bofill P, Zibulevsky M. Underdetermined blind source separation using sparse representations[J].Signal Processing.2001, 81(11):2353-[7]Stone V . Blind source separation using temporal predictability[J].Neural Computation.2001, 13(7):1559-[8]Cichocki A, Thawonmas R, Amari S. Sequential blind signal extraction in order specified by stochastic properties[J].Electronics Letters.1997, 33 (1):64-[9]Li Yuanqing, Wang Jun. Blind extraction of singularly mixed source signals[J].IEEE Trans. on Neural Networks.2000, 11(6):1413-[10]Li Yuanqing, Wang Jun. Sequential blind extraction of instantaneously mixed source[J].IEEE Trans. on Signal Processing.2002, 50(5):997-[11]张贤达. 矩阵论分析与应用. 北京: 清华大学出版社, 2004年9月: 515.541.[12]Adel B, Karim A. A blind source separation technique using second-order statistics[J].IEEE Trans. on Signal Processing.1997, 45(2):434- -
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