基于改进经验模式分解算法的实时滤波新方法
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摘要
由于电液伺服系统本身的特点使某些干扰信号频段与正常信号的频段很靠近,普通数字滤波器很难起到较好的作用。为了能够精确过滤这些干扰信号,改进了Hilbert-Huang变换中所提出的经验模式分解(EMD)算法,扩展了极值点的定义,给出了插值判断条件,新增了分解结束判断条件。改进后的EMD算法对电液伺服系统信号有更好的包络效果、更佳的分解效果和更快的分解速度,可以满足实时滤波要求。将基于改进EMD算法的实时滤波器应用于实际的电液伺服控制系统后,同普通数字滤波器和原EMD算法进行对比,其结果验证了该滤波器的滤波效果优于普通数字滤波器,计算效率得到提高。
The normal digital filter cannot achieve a good filtering result since the characteristics of electro-hydraulic servo system makes the frequency of noise signal close to the frequency of useful signal. The empirical mode decomposition algorithm is improved to remove these noise signals exactly from data. The definition of extreme points is extended,a judging formula of envelope interpolation is given,and a new decomposition end judgment condition is added. The improved EMD method has better effect and decomposition efficiency on the signal from electro hydraulic servo system. It can meet the real-time filtering requirements. This new filter based on improved EMD method is used in electro-hydraulic servo system,and the normal digital filter is compared with the original EMD method. The test results show that this new filter has a good application effect and less consuming time.
The normal digital filter cannot achieve a good filtering result since the characteristics of electro-hydraulic servo system makes the frequency of noise signal close to the frequency of useful signal. The empirical mode decomposition algorithm is improved to remove these noise signals exactly from data. The definition of extreme points is extended,a judging formula of envelope interpolation is given,and a new decomposition end judgment condition is added. The improved EMD method has better effect and decomposition efficiency on the signal from electro hydraulic servo system. It can meet the real-time filtering requirements. This new filter based on improved EMD method is used in electro-hydraulic servo system,and the normal digital filter is compared with the original EMD method. The test results show that this new filter has a good application effect and less consuming time.
引文
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[2]Sobieski I P,Kroo I M.Collaborative optimization using response surface estimation[J].AIAA Journal,2000,38(10):1931-1938.
[3]王曙光,曾向阳,王征,等.水下目标的Gammatone子带降噪和希尔伯特-黄变换特征提取[J].兵工学报,2015,36(9):1704-1709.WANG Shu-guang,ZENG Xiang-yang,WANG Zheng,et al.Gammatone subband denoising and HHT-based feature extraction for underwater targets[J].Acta Armamentarii,2015,36(9):1704-1709.(in Chinese)
[4]李长兵,袁东,马晓军,等.高速机动条件下坦克火炮系统扰动力矩谱研究[J].兵工学报,2015,36(4):582-589.LI Chang-bing,YUAN Dong,MA Xiao-jun,et al.Research on disturbance moment spectrum of tank gun system under high maneuvering conditions[J].Acta Armamentarii,2015,36(4):582-589.(in Chinese)
[5]Li P B,Kothari V,Terry B S.Processing and analysis of small intestine pressure signal based on empirical mode decomposition[J].Journal of Medical Devices,2015,19(1):45-62.
[6]Tang Y W,Lin Y D.L2-EMD filter design for photoplethysmography signal[J].Applied Mechanics&Materials,2014,479/480:486-490.
[7]Park M,Kim D,Oh H S.A reinterpretation of EMD by cubic spline interpolation[J].Advances in Adaptive Data Analysis,2012,3(4):527-540.
[8]贺智,王强,沈毅,等.希尔伯特-黄变换端点效应抑制算法综述[J].软件,2011,32(10):1-7.HE Zhi,WANG Qiang,SHEN Yi,et al.Survey on end effects mitigation of Hilbert-Huang transform[J].Software,2011,32(10):1-7.(in Chinese)
[9]郭明威,倪世宏,朱家海,等.振动信号中HHT/EMD端点延拓方法研究[J].振动与冲击,2012,31(8):62-66.GUO Ming-wei,NI Shi-hong,ZHU Jia-hai,et al.HHT/EMD end extension method in vibration signal analysis[J].Journal of Vibration and Shock,2012,31(8):62-66.(in Chinese)
[10]Dtig M,Schlurmann T.Performance and limitations of the Hilbert-Huang transformation(HHT)with an application to irregular water waves[J].Ocean Engineering,2004,31(S14/S15):1783-1834.
[11]Rilling G,Flandrin P,Goncalves P.On empirical mode decomposition and its algorithms[C]∥Proceedings of IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing.Grado,Italy:IEEE,2003.
[12]王林鸿,吴波,杜润生,等.液压缸运动的非线性动态特征[J].机械工程学报,2007,43(12):12-19.WANG Lin-hong,WU Bo,DU Run-sheng,et al.Nonlinear dynamic characteristics of moving hydraulic cylinder{J].Journal of Mechanical Engineering,2007,43(12):12-19.(in Chinese)
[13]李卿,张国平,刘洋.Hilbert-Huang变换及其滤波特性研究[J].华中师范大学学报:自然科学版,2009,43(2):235-238.LI Qing,ZHANG Guo-ping,LIU Yang.A study of Hilbert-Huang transform and its filtering character[J].Journal of Central China Normal University:Natural Sciences,2009,43(2):235-238.(in Chinese)