Singularity Detecting with the SecondGeneration Wavelet

作     者：XU Bing-lian 1,2 , YI Xu-ming 1 1.School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei, China 2.College of Science,Nanjing Agriculture University,Nanjing 210095,Jingsu,China 

作者机构：School of Mathematics and Statistics Wuhan University Wuhan Hubei China College of Science Nanjing Agriculture University Nanjing Jingsu China 

出 版 物：《Wuhan University Journal of Natural Sciences》 (武汉大学学报（自然科学英文版）)

年 卷 期：2004年第9卷第6期

页      面：871-874页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 080401[工学-精密仪器及机械] 0804[工学-仪器科学与技术] 080402[工学-测试计量技术及仪器] 

基　　金：theNationalNaturalScienceFoundationofChina(1 960 2 0 1 4 ) 

主　　题：biorthogonal wavelet lifting scheme secondgeneration wavelets singularity 

摘      要：Adopting the lifting scheme, introduced by Sweldens, a new wavelet is constructed. It overcomes the shortcoming of the classical wavelets that has no flexibility in the number of vanishing moment. Two examples are given to prove the second-generation wavelets s potentialities in the singularity detection of signal: a wavelet with vanishing moment and symmetry can be constructed according to the problem. Key words biorthogonal wavelet - lifting scheme - secondgeneration wavelets - singularity CLC number O 174.2 Foundation item: Supported by the National Natural Science Foundation of China (19602014) Biography: XU Bing-lian (1977-), female, Master candidate, research direction: the wavelets application.