作者：崔心瀚1,2, 马立元1, 魏忠林1, 李世龙1, 王天辉1
作者单位：1. 军械工程学院四系, 河北 石家庄 050003;
2. 白城常规兵器试验中心, 吉林 白城 137001
关键词：经验模态分解;端点效应;镜像延拓;极值平移;Blackman窗函数
摘要：
为抑制经验模态分解(empirical mode decomposition,EMD)处理过程中的端点效应,在整理和研究现有方法的基础上,提出一种镜像延拓和极值平移相结合的端点处理方法,在最大程度地融合两种传统方法优点的同时尽可能地还原信号边界特征。该方法通过构造特征平行四边形使延拓极值处于理想区域,从而避免三次样条差值过程中包络线与信号交叉的产生,并引入Blackman窗函数对延拓信号进行边界处理,进而有效地控制延拓误差影响。经过仿真信号验证与实测信号分析,对比镜像延拓、极值平移与加窗边界处理方法的端点抑制效果,证明该改进方法能有效地抑制分解过程中出现的端点效应,并能在高频噪声干扰下较完整地提取低频信息,为燃气轮机工频特征的获取提供可靠的保证。
Improved EMD and its applications in gas turbine power frequency extraction
CUI Xinhan1,2, MA Liyuan1, WEI Zhonglin1, LI Shilong1, WANG Tianhui1
1. The 4th Department, Ordnance Engineering College, Shijiazhuang 050003, China;
2. Baicheng Ordnance Test Center, Baicheng 137001, China
Abstract: In order to dispose the end effect during empirical mode decomposition (EMD), there comes the improved EMD. The treatment of end effect decides the extraction of signal time-frequency characteristics. Based on the study of current approaches, an effective method has been proposed in combination with mirror extension and extreme point shifting. The new method comprises the merits of the two traditional approaches and serves as the maximum restoration of signal boundary characteristics. A characteristics parallelogram has been constructed to circumscribe the prolongation extremum within an ideal region, thus preventing the envelope curve from intersecting with the signal during the process of cubic spline interpolation. Blackman window function has been introduced to dispose the extended signal boundary so as to control the influence of prolongation errors. The simulation test and actual measurement show that the method can effectively restrain end diffusion and completely extract low frequency information under the interference of high-frequency noise, compared to mirror extension, extreme point shifting and windowing boundary treatment.
Keywords: EMD;end effect;mirror extension;extreme point shifting;Blackman window function
2016, 42(1): 107-113 收稿日期: 2015-05-18;收到修改稿日期: 2015-06-27
基金项目: 军队通保科研基金(装通[2012]80号)
作者简介: 崔心瀚(1990-),男,黑龙江佳木斯市人,硕士研究生,专业方向为装备状态监测与故障诊断研究。
参考文献
[1] HUANG N E, SHEN Z, LONG S R, et al. The empirical mode decomposition and the Hilbert spectrum for non-linear and non-stationary time series analysis[J]. Proceedings of the Royal Society of London Series A,1998(454):903-995.
[2] PINES D, SALVINO L. Structural health monitoring using empirical mode decomposition and the Hilbert phase[J]. Journal of Soundand Vibration,2006,294(1-2):97-124.
[3] SPANOS P D, GIARALIS A, POLITIS N P. Time-frequency representation of earthquake accelerograms and inelastic structural response records using the adaptive chirplet decomposition and empirical mode decomposi-tion[J]. Soil Dynamics and Earthquake Engineering,2007,
27(7):675-689.
[4] 韩东颖,李庚,时培明. 基于EMD和分形盒维数的旋转机械耦合故障诊断方法研究[J]. 振动与冲击,2013,32(15):209-214.
[5] RILLING G, FLANDRIN P. On the influence of sampling on the empirical mode decomposition[C]//Proc 2006 IEEE International Conference on Acoustics Speech and Signal Processing(ICASSP 2006),Toulouse France,2006(3):444-447.
[6] 王学敏,黄方林. EMD端点效应抑制的一种使用方法[J].振动、测试与诊断,2012,32(3):493-497.
[7] HUANG N E. Computer implicated empirical mode decomposition method apparatus and article of manufacture:US 5983 162[P]. 1999-11-09.
[8] QI K Y, HE Z J. Cosine window-based end processing method for EMD and its application in rubbing fault diagnosis[J]. Mechanical Systems and Signal Processing,
2007(21):2750-2760.
[9] JALAN A K, MOHANTY A R. Model based fault diagnosis of a rotor-bearing system for misalignment and unbalance under steady-state condition[J]. Journal of Sound and Vibration,2009,327(3-5):604-622.
[10] RYBCZYNSKI J. The possibility of evaluating turbo-set bearing misalignment defects on the basis of bearing trajectory features[J]. Mechanical Systems and Signal Processing,2011,25(2):521-536.
