基于EMD改进算法的欠定混合盲分离
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摘要
为改善拟合效果,针对经验模态分解(empirical mode decomposition,EMD)算法存在的端点效应,提出一种改进的EMD算法——端点极值延拓方法.利用改进的EMD算法对观测信号进行分解,将分解分量连同之前的观测信号构成新的观测信号,从而将欠定情况转化为超定情况,最后利用独立成分分析(independent component analysis,ICA)算法得到源信号的估计.通过仿真实验对比,证明了本文算法的有效性.
In order to improve the effect of data fitting,a method of extremum extension on endpoints is proposed,which is aimed at the endpoint effect of empirical mode decomposition( EMD) algorithm. The improved EMD algorithm is used to decompose the observed signals,and then the decomposed components together with the prior observed signals are regarded as new observed signals. Thus the underdetermined situation is changed into an overdetermined case.Finally,we use independent component analysis( ICA) algorithm to obtain the estimation of source signals. Simulation result shows that the proposed algorithm is effective.
In order to improve the effect of data fitting,a method of extremum extension on endpoints is proposed,which is aimed at the endpoint effect of empirical mode decomposition( EMD) algorithm. The improved EMD algorithm is used to decompose the observed signals,and then the decomposed components together with the prior observed signals are regarded as new observed signals. Thus the underdetermined situation is changed into an overdetermined case.Finally,we use independent component analysis( ICA) algorithm to obtain the estimation of source signals. Simulation result shows that the proposed algorithm is effective.
引文
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[9]齐扬阳,于淼.基于EMD的单通道盲源分离跳频通信抗干扰方法[J].计算机科学,2016,43(1):149-153.(Qi Yang-yang,Yu Miao.Anti-jamming method for frequency hopping communication based on single channel BSS and EMD[J].Computer Science,2016,43(1):149-153.)
[10]王传菲,安钢,王凯,等.基于镜像延拓和神经网络的EMD端点效应改进方法[J].装甲兵工程学院学报,2010,24(2):66-69.(Wang Chuan-fei,An Gang,Wang Kai,et al.An improved method of EMD endpoint effect based on mirror extension and neural network[J].Journal of the Academy of Armored Forces Engineering,2010,24(2):66-69.)
[11]杨杰,俞文文,田昊,等.基于独立分量分析的欠定盲源分离方法[J].振动与冲击,2013,32(7):30-33.(Yang Jie,Yu Wen-wen,Tian Hao,et al.Underdetermined blind source separation method based on independent component analysis[J].Journal of Vibration&Shock,2013,32(7):30-33.)
[2]李志农,吕亚平,范涛,等.基于经验模态分解的机械故障欠定盲源分离方法[J].航空动力学报,2009,24(8):1886-1892.(Li Zhi-nong,Lyu Ya-ping,Fan Tao,et al.Underdetermined blind source separation method for mechanical fault based on empirical mode decomposition[J].Journal of Aerospace Power,2009,24(8):1886-1892.)
[3]孙洁娣,郝雅立,温江涛,等.基于EMD的高压燃气管道泄漏信号欠定盲分离方法[J].振动与冲击,2013,32(18):81-86.(Sun Jie-di,Hao Ya-li,Wen Jiang-tao,et al.Underdetermined blind source separation method of pipeline leakage signals based on empirical mode decomposition[J].Journal of Vibration&Shock,2013,32(18):81-86.)
[4]Zhu X L,Liu J P,Zhang X N.Analysis of motor imagery EEG based on Hilbert-Huang Transform[J].Advanced Materials Research,2014,998/999:833-837.
[5]孟宗,顾海燕,李姗姗.基于神经网络集成的B样条经验模态分解端点效应抑制方法[J].机械工程学报,2013,49(4):106-112.(Meng Zong,Gu Hai-yan,Li Shan-shan.An empirical mode decomposition method based on neural network ensemble for endpoint effect suppression of B spline[J].Journal of Mechanical Engineering,2013,49(4):106-112.)
[6]Zhang Y,Wu K,Tan G,et al.An online adaptive algorithm for underdetermined blind source separation[C]//2014 12th International Conference on Signal Processing.Hangzhou,2014:467-472.
[7]Wang J,Liu Y,Chao Z,et al.A modified single-channel blind separation method using EMD and ICA[C]//International Conference on Trustworthy Computing and Services.Berlin:Springer,2014:78-85.
[8]Gu Q W,Jin W D,Yu Z B.Blind source separation of singlechannel train signal based on EEMD and ICA[J].Application Research of Computers,2014,31(5):1551-1553.
[9]齐扬阳,于淼.基于EMD的单通道盲源分离跳频通信抗干扰方法[J].计算机科学,2016,43(1):149-153.(Qi Yang-yang,Yu Miao.Anti-jamming method for frequency hopping communication based on single channel BSS and EMD[J].Computer Science,2016,43(1):149-153.)
[10]王传菲,安钢,王凯,等.基于镜像延拓和神经网络的EMD端点效应改进方法[J].装甲兵工程学院学报,2010,24(2):66-69.(Wang Chuan-fei,An Gang,Wang Kai,et al.An improved method of EMD endpoint effect based on mirror extension and neural network[J].Journal of the Academy of Armored Forces Engineering,2010,24(2):66-69.)
[11]杨杰,俞文文,田昊,等.基于独立分量分析的欠定盲源分离方法[J].振动与冲击,2013,32(7):30-33.(Yang Jie,Yu Wen-wen,Tian Hao,et al.Underdetermined blind source separation method based on independent component analysis[J].Journal of Vibration&Shock,2013,32(7):30-33.)