·840· 北京科技大学学报 第34卷 击不中 014结构元素 1.0P9 (a) as 0.109 击巾结构元素 10002000300040005000600070008000 数据点编号 数据点编号 图7击中击不中变换结果.(a)结构元素对：(b)击中程度 Fig.7 Results of the hit-or-miss transform:(a)structure element pairs:(b)hit degree morphological filter to the extraction of impulsive attenuation 0.05 signals.Mech Syst Signal Process,2009,23(1):236 [5] Yu X T,Chu F L,Hao R J.Fault diagnosis approach for rolling bearing based on support vector machine and soft morphological 0.05 filters.JMech Eng,2009,45(7):75 (于湘涛，褚福磊，郝如江.基于柔性形态滤波和支持矢量机 2000 40 6000 8000 的滚动轴承故障诊断方法.机械工程学报，2009,45(7)：75) 数据点编号 [6]Hao R J,Chu F L.Morphological undecimated wavelet decomposi- 图8第4层小波细节系数重构的信号 tion for fault diagnostics of rolling element bearings.Sound Vib, Fig.8 Reconstructed signal of the fourth layer detail coefficient 2009,320:1164 解，运算量小 7]Zhang L J,Yang J H,Xu J W,et al.Morphological undecimated wavelet and its application to feature extraction of impulsive signal. (2)将本文提出的方法应用到制氧厂驱动电机 J Vib Shock,2007,26(10):56 的碰摩信号和转子试验台的冲击信号特征提取.实 (章立军，阳建宏，徐金梧，等.形态非抽样小波及其在冲击信 验结果表明，击中击不中变换为削波特征的提取提 号特征提取中的应用.振动与冲击，2007,26(10)：56) 供了一种新的方法，与传统小波分析相比，能更有效 8] Cui Y.Image Processing and Analysis:Mathematical Morphology 地提取冲击特征，可以在时域中准确地提取出转子 and Application.Beijing:Science Press,2002 (崔屹.图像处理与分析：数学形态学方法及应用.北京：科学 振动信号中的周期性冲击成分 出版社，2002) 参考文献 9] Naegel B,Passat N,Ronse C.Grey-evel hit-or-miss transforms: Part I.Unified theory.Patern Recognit,2007,40(2):635 []Serra J.Image Analysis and Mathematical Morphology.London: [10]Naegel B,Passat N,Ronse C.Grey-evel hit-or-miss transforms: Academic Press,1982 Part II.Application to angiographic image processing.Pattern 2]Nikolaou N C.Antoniadis I A.Application of morphological Recognit,2007,40(2）:648 operators as envelope extractors for impulsive-ype periodic signals. [11]Perret B,Lefevre S,Collet C.A robust hit-or-miss transform for Mech Syst Signal Process,2003,17(6)1147 template matching applied to very noisy astronomical images B]Zhang L J,Xu J W,Yang J H,et al.Multiscale morphology Pattern Recognit,2009,42(11)2470 analysis and its application to fault diagnosis.Mech Syst Signal [12]Barat C,Ducottet C,Jourlin M.Pattern matching using morpho- Process,2008,22(3):597 logical probing Proceedings of International Conference of [4]Wang J,Xu G H,Zhang Q,et al.Application of improved Image Processing.Barcelona,2003:369北 京 科 技 大 学 学 报 第 34 卷 图 7 击中击不中变换结果． ( a) 结构元素对; ( b) 击中程度 Fig． 7 Results of the hit-or-miss transform: ( a) structure element pairs; ( b) hit degree 图 8 第 4 层小波细节系数重构的信号 Fig． 8 Reconstructed signal of the fourth layer detail coefficient 解，运算量小． ( 2) 将本文提出的方法应用到制氧厂驱动电机 的碰摩信号和转子试验台的冲击信号特征提取． 实 验结果表明，击中击不中变换为削波特征的提取提 供了一种新的方法，与传统小波分析相比，能更有效 地提取冲击特征，可以在时域中准确地提取出转子 振动信号中的周期性冲击成分． 参 考 文 献 ［1］ Serra J． Image Analysis and Mathematical Morphology． London: Academic Press，1982 ［2］ Nikolaou N G，Antoniadis I A． Application of morphological operators as envelope extractors for impulsive-type periodic signals． Mech Syst Signal Process，2003，17( 6) : 1147 ［3］ Zhang L J，Xu J W，Yang J H，et al． Multiscale morphology analysis and its application to fault diagnosis． Mech Syst Signal Process，2008，22( 3) : 597 ［4］ Wang J，Xu G H，Zhang Q，et al． Application of improved morphological filter to the extraction of impulsive attenuation signals． Mech Syst Signal Process，2009，23( 1) : 236 ［5］ Yu X T，Chu F L，Hao R J． Fault diagnosis approach for rolling bearing based on support vector machine and soft morphological filters． J Mech Eng，2009，45( 7) : 75 ( 于湘涛，褚福磊，郝如江． 基于柔性形态滤波和支持矢量机 的滚动轴承故障诊断方法． 机械工程学报，2009，45( 7) : 75) ［6］ Hao R J，Chu F L． Morphological undecimated wavelet decomposi￾tion for fault diagnostics of rolling element bearings． J Sound Vib， 2009，320: 1164 ［7］ Zhang L J，Yang J H，Xu J W，et al． Morphological undecimated wavelet and its application to feature extraction of impulsive signal． J Vib Shock，2007，26( 10) : 56 ( 章立军，阳建宏，徐金梧，等． 形态非抽样小波及其在冲击信 号特征提取中的应用． 振动与冲击，2007，26( 10) : 56) ［8］ Cui Y． Image Processing and Analysis: Mathematical Morphology and Application． Beijing: Science Press，2002 ( 崔屹． 图像处理与分析: 数学形态学方法及应用． 北京: 科学 出版社，2002) ［9］ Naegel B，Passat N，Ronse C． Grey-level hit-or-miss transforms: Part Ⅰ． Unified theory． Pattern Recognit，2007，40( 2) : 635 ［10］ Naegel B，Passat N，Ronse C． Grey-level hit-or-miss transforms: Part Ⅱ． Application to angiographic image processing． Pattern Recognit，2007，40( 2) : 648 ［11］ Perret B，Lefèvre S，Collet C． A robust hit-or-miss transform for template matching applied to very noisy astronomical images． Pattern Recognit，2009，42( 11) : 2470 ［12］ Barat C，Ducottet C，Jourlin M． Pattern matching using morpho￾logical probing / / Proceedings of International Conference of Image Processing． Barcelona，2003: 369 ·840·