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Construction and Characterization of Wavelet Bases Expressed by Bessel Function

Lu Donghui Zhuang Tiange(Department of Biomedical Engineering,Shanghai Jiaotong University)  
A new mother wavelet function which is based on the Bessel function of the special functions has been constructed by using the MultiResolution Analysis(MRA) method.It is proved that the function,when N is a positive integer and N≥2,has many good properties such as localization,smoothness(Ψ(x)=O(|x|-N)),certain symmetrization and an (N-2) order vanishing moment.As an example,a corresponding conclusion is given when N=3.
【CateGory Index】: R814.42,O174.41
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Chinese Journal Full-text Database 1 Hits
1 He Zhengjia 1,Li Fucai 1,Du Yuan 1,Ho Jinyama 2 (1.School of Mechanical Engineering, Xi′an Jiaotong University,Xi′an 710049,China; 2.Department of Information Engineering, Kyushu Institute of Technology, Japan);Development and Status Quo of Applications on Wavelet Technology for Mechanical Surveillance and Diagnosis[J];Journal of Xi'an Jiaotong University;2001-05
Chinese Journal Full-text Database 10 Hits
1 ZHAO Zhong, JIN Yihui, JIANG Weisun  (Department of Automation, Tsinghua University, Beijing 100084, China; Instiute of Automation ECUST, Shanghai 200237, China);Process performance region recognition based on wavelet transform[J];JOURNAL OF TSINGHUA UNIVERSITY(SCIENCE AND TECHNOLOGY);2000-01
2 Wang Cheng Ye Quyuan He Yousheng(Department of Engineering Mechanics, Shanghai Jiaotong University));Application of Gaussian Wavelet Familyto Solving NavierStokes Equations[J];JOURNAL OF SHANGHAI JIAOTONG UNIVERSITY;1997-12
3 Liang Fenggang, Xu MinThe State Key Laboratory for Vibration, Shock & Noise, Shanghai Jiaotong University, China;WWA,55:10:1347.[4]Bruchet,A.T.etal(1989),“EfectofHumicSubstancesontheTreatmentofDrinkingWater”,Adv.inChemiker.,219:93.[5]Aiken,R.G.etal(1985),“HumicSubstancesinSoil,SedimentandWater”,WileyInterscience,NewYork.[6]Randtke,S.J.etal(1988),“Orga[J];JOURNAL OF SHANGHAI JIAOTONG UNIVERSITY;1998-07
4 WU Yao jun 1, SHI Xi zhi 2, CHEN Jing 2 1. Dept. of Biomedical Eng., Shanghai Jiaotong Univ., Shanghai 200030, China; 2. State Key Lab. of Vibration, Shock & Noise, Shanghai Jiaotong Univ., Shanghai 200030, China;Signal Recognition of Time Frequency Property of Wavelet Transform[J];JOURNAL OF SHANGHAI JIAOTONG UNIVERSITY;1999-08
5 Liu Ning; Zhuo Jiashou (Hohai University);^Reliability analysis based on 3-D elasto-plastic SFEM[J];JOURNAL OF HYDRAULIC ENGINEERING;1996-09
6 Deng Dong-gao & Peng Li-zhong(Peking University);Wavelets Analysis[J];Advances In Mathematics;1991-03
7 Wang Jianzhong(Department of Mathematics, Wuhan University);Wavelet Theory and Its Applications to Physics and Engineering[J];Advances In Mathematics;1992-03
8 BE Xi-zheng;WU Zhen-sen(Shanxi Astronomical Observatory, Academia Sinical, Xi'an 7106001)(Xidian University, 710071);On Wavelet Base Solution of One Kind High Order Inhomogeneous Partial Differential Equation[J];JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION;1999-03
9 Wang Jianguo;Shen Pengcheng;SOLUTION OF STATIC CYLINDRICAL SHELL PROBLEMS BY SPLINE FUNCTIONS[J];China Civil Engineering Journal;1984-02
10 Long Yuqiu, Xin Kegui (Qinghua University);GENERALIZED CONFORMING ELEMENT[J];China Civil Engineering Journal;1987-01
【Secondary References】
Chinese Journal Full-text Database 9 Hits
1 QIAN Ling1,QI Ming-xia2,WU Miao-fa1(1.Gaoyuan Petroleum Equipment Co.Ltd.,Shengli Oilfield,Dongying 257001,China;2.College of Mechanical & Electrical Engineering,China University of Petroleum(Huadong),Dongying 257061,China);Development and status of research wavelet technology for mechanical diagnosis[J];Oil Field Equipment;2006-02
2 Li Fucai,Dong Lijing,He Zhengjia (School of Mechanical Engineering, Xi′an Jiaotong University, Xi′an 710049, China);Research on Construction and Application of Butterworth Wavelet[J];Journal of Xi'an Jiaotong University;2002-07
3 LI Fucai DONG Lijing HE Zhengjia (School of Mechanical Engineering, Xi'an Jiaotong University Xi'an 710049);Research on construction of butterworth wavelet and its application in fault diagnosis[J];Acta Acustica;2003-06
4 Li Fucai~1 Meng Guang~1 Ye Lin~2 (1 State Key Laboratory of Mechanical System and Vibration,Shanghai Jiao Tong University,Shanghai 200240,China; 2 School of Aerospace,Mechanical & Mechatronic Engineering,The University of Sydney,NSW 2006,Australia);Optimal mother wavelet-based Lamb wave analyses and damage detection for composite structures[J];Chinese Journal of Scientific Instrument;2007-10
5 Jiang Yong(Southwest University of Science and Technology,Mianyang 621010);NEW COMPACTLY SUPPORTED WAVELET CONSTRUCTION AND ITS CHARACTERS[J];Journal of Vibration and Shock;2004-03
6 Zhang Jing Kong Fanrang Zhang Ping Zhang Sheng Li Xiaofeng (Department of Precision Machinery and Precision Instrumentation of USTC,Hefei 230027);GEAR FAULT DIAGNOSIS BASED ON HARMONIC WAVELET'S RECONSTRUCTED-PHASE MAP[J];Journal of Vibration and Shock;2004-04
7 HE Tian~1,LIU Xian-dong~2,LI Qi-han~1 (1.School of Jet Propulsion,Beijing University of Aeronautics and Astronautics,Beijing 100083,China;2.Department of Automobile Engineering,Beijing University of Aeronautics and Astronautics,Beijing 100083,China);An improved method of detecting abrupt information based on singularity value decomposition in noise background[J];Journal of Vibration Engineering;2006-03
8 LUO Yong-shun,LI Yu-zhong(College of Guangdong Polytechnical Normal University,Guangzhou 510635,China);Key Technology's Research on Remote Fault Diagnosis System of NC Machine[J];Modular Machine Tool & Automatic Manufacturing Technique;2006-03
9 YE Da-peng1,LI Hong-xia1,ZHANG Chun-liang2(1.Mechanical and Electronic Engineering College,Fujian Agriculture and Forestry University,Fuzhou,Fujian 350002,China;2.School of Mechanical Engineering,University of South China,Hengyang,Hunan 421001,China);Vibration Signal Preprocessing by Means of α-β-γ Filter[J];Journal of University of South China(Science and Technology);2008-02
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