改进的子空间匹配追踪导波信号识别方法
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摘要
针对子空间匹配追踪计算复杂的缺点,提出一种改进的子空间匹配追踪(MSMP)方法.采用线调频小波函数作为匹配原子,选用微分进化算法(DEA)实现改进的子空间匹配追踪方法.利用29kHz t(0,1)导波对含缺陷的铝管进行检测实验,采用MSMP对检测信号进行匹配分解与重构.将匹配结果与基于微分进化算法的匹配追踪(MP)及基于t算子的进化规划算法(tEP)的正交匹配追踪(OMP)所得结果进行比较,并比较了基于DEA的MSMP和MP,基于tEP的OMP匹配所得参数.结果发现:重构所得信号质量明显提高,基于DEA的MSMP和MP方法匹配所得参数均能比较准确地反映缺陷位置以及激励信号的中心频率,基于DEA的MSMP匹配所得的参数更加准确且耗时更短,改进的方法可有效识别管道导波无损检测信号并定位缺陷.
The modified subspace matching pursuit(MSMP) was proposed to simplify the complex computation of the subspace matching pursuit.The differential evolution algorithm(DEA) was applied to the MSMP by choosing chirplet function as match atoms.An aluminum pipe with holes was tested by 29 kHz t(0,1) guided wave and the measured signal was decomposed and reconstructed by MSMP.The quality of the processed signal was improved obviously,and the defect echo can be identified easily.The matched result was compared to the matched result from matching pursuit(MP) with DEA and orthogonal matching pursuit(OMP) with evolutionary programming using mutations based on the t probability distribution(tEP).The matched parameters get by MSMP,MP with DEA,and OMP with tEP were compared and analyzed.It is found that the quality of the matched waveform from MSMP and MP are better than that from OMP.The defect locations and the center frequency of the excitation signal are more exactly get from MSMP than from MP.The computation time by MSMP is shorter than the one by MP and OMP.Therefore,MSMP is a useful signal recognition and defect location approach for pipes guided wave non-destructive testing.
The modified subspace matching pursuit(MSMP) was proposed to simplify the complex computation of the subspace matching pursuit.The differential evolution algorithm(DEA) was applied to the MSMP by choosing chirplet function as match atoms.An aluminum pipe with holes was tested by 29 kHz t(0,1) guided wave and the measured signal was decomposed and reconstructed by MSMP.The quality of the processed signal was improved obviously,and the defect echo can be identified easily.The matched result was compared to the matched result from matching pursuit(MP) with DEA and orthogonal matching pursuit(OMP) with evolutionary programming using mutations based on the t probability distribution(tEP).The matched parameters get by MSMP,MP with DEA,and OMP with tEP were compared and analyzed.It is found that the quality of the matched waveform from MSMP and MP are better than that from OMP.The defect locations and the center frequency of the excitation signal are more exactly get from MSMP than from MP.The computation time by MSMP is shorter than the one by MP and OMP.Therefore,MSMP is a useful signal recognition and defect location approach for pipes guided wave non-destructive testing.
引文
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[2]Nagashima Y,Endou M,Miki M,et al.Defect siz-ing method using ultrasonic guided waves in pipes[J].Review of Quantitative Nondestructive Evalua-tion,2009,28:1583-1590.
[3]王悦民,康宜华,武新军.磁致伸缩效应及其在无损检测中的应用研究[J].华中科技大学学报:自然科学版,2005,33(1):75-77.
[4]张伟伟,王志华,马宏伟.含缺陷管道超声导波检测信号的相关性分析[J].暨南大学学报:自然科学版,2009,30(3):269-272.
[5]张琦,阙沛文,陈天璐.基于经验模态分解的管道超声回波信号噪声消除[J].测试技术学报,2006,20(6):508-511.
[6]Siqueira M H S,Gatts C E N,da Silva R R,et al.The use of ultrasonic guided waves and wavelets anal-ysis in pipe inspection[J].Ultrasonics,2004,41:785-797.
[7]Mallat S G,Zhang Zhifeng.Matching pursuits withtime-frequency dictionaries[J].IEEE Transaction onSignal Processing,1993,41(2):3397-3414.
[8]何明格,殷勤,林丽君,等.基于小波迹和匹配追踪算法的超声波检测信号消噪[J].应用基础与工程科学学报,2011,19(2):297-303.
[9]田波,张葛祥,龙良将,等.基于Gabor原子的雷达辐射源信号无意调制特征提取[J].国外电子测量技术,2010,29(9):18-20.
[10]王成梅.地震信号稀疏分解快速算法及原子库选择研究[D].成都:西南交通大学图书馆,2010.
[11]范虹,孟庆丰,张优云,等.基于改进匹配追踪算法的特征提取及其应用[J].机械工程学报,2007,43(7):115-119.
[12]费晓琪,孟庆丰,何正嘉.基于冲击时频原子的匹配追踪信号分解及机械故障特征提取技术[J].振动与冲击,2003,22(2):26-29.
[13]冯勇明,周丽,李真.基于Lamb波和匹配追踪方法的结构损伤定位[J].南京航空航天大学学报,2011,42(2):184-190.
[14]Hong J C,Sun K H,Kim Y Y.The matching pur-suit approach based on the modulated Gaussian pulsefor efficient guided-wave damage inspection[J].Smart Structures and Materials,2005,14:548-560.
[15]张春梅,尹忠科,肖明霞.基于冗余字典的信号超完备表示与稀疏分解[J].科学通报,2006,51(6):28-632.
[16]Dai W,Strauss M,Tropp J,et al.Subspace pursuitfor compressive sensing signal reconstruction[J].IEEE Transaction on Information Theory,2009,55(5):2230-2249.
[17]Pati Y C,Rezaiifar R,Krishnaprasad P.Orthogon-al matching pursuit:rexcursive function approxima-tion with applications to wavelet decomposition[C]∥27th Asilomar Conference on Signals,Sys-tems and Computer.New York:IEEE,1993:40-44.
[18]Storn R,Price K.Differential evolution—a simpleand efficient heuristic for global optimization overcontinuous space[J].Journal of Global Optimiza-tion,1997,11:341-359.
[19]朱龙翔,王悦民,李城华,等.钢管中基于磁致伸缩效应扭转导波激励的实验研究[J].中国机械工程,2010,21(20):2408-2411.
[20]周方俊,王向军,张民.基于t分布变异的进化规划[J].电子学报,2008,36(4):667-671.
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