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《Journal of Anqing Teachers College(Natural Science Edition)》 2001-01
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The wavelet compactly supported in fourier transform and its applications

WANG Ji wen,DOU Hong (1.Department of Comp.Science and Engineering, Anhui University,Hefei 230039,China; 2.Department of mathematics,Anhui University, Hefei 230039,China)  
A new wavelet which is compactly supported in Fourier transform is constructed,and is applied to the de noising of signals and the computing of the Hilbert transform.Numerical results and theoretical analyses show that,the wavelet we proposed has advantages over the Daubechies wavelets in these practical fields.
【Fund】: 国家自然科学基金资助!(49894190 )
【CateGory Index】: O174
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【References】
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1 JIANG Jin-jian~1 QIAN Meng~1 GE Yun-jian~2 1.School of Computer and Information Science,Anqing Teachers College,Anqing 246011; 2.Institute of intelligent Machines,Chinese Academy of Sciences,Hefei 230031,China;An Approach to Underwater Images Enhancement Based on Wavelet Multiscale Analysis[J];Journal of Anqing Teachers College(Natural Science Edition);2006-03
【Citations】
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1 LI SHI-XIONG(Department of Mathematics, Anhui University, Hefei 230039, China)WANG JI-WEN(Department of Computer Science and Engineering, Anhui University, Hefei 230039, China);INSTANTANEOUS PARAMETERS OF SIGNALS AND ORTHOGONAL BASES OF WAVELETS[J];Chinese Journal of Geophysics;2000-01
【Co-citations】
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1 CHEN Dong-fang (Department of Computor of Anhui University, Hefei 230039, China)$$$$;Inversion of Radon Transform and Wavelet[J];Journal of Anhui University(Natural Sciences);2000-04
2 ZOU Hai-lin,NING Shu-nian,LIN Jie(China University of Mining & Technology, Beijing 100083,China);Application of wavelet theory in ground penetrating radar signal processing[J];Progress In Geophysics;2004-02
3 LI You-ming(Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100029,China);The commemoration of professor Li Shixiong[J];Progress in Geophysics;2007-01
4 LIU Hong(Institute of Geology & Geophysics,Chinese Academy of Sciences,Beijing 100029,China);In memory of first anniversary of professor LI Shi-xong's death[J];Progress in Geophysics;2008-01
5 CHEN Lin1,2,SONG Hai-bin1(1.Key Laboratory of the Earth's Deep Interior,Institute of Geology and Geophysics,Chinese Academy of Sciences, Beijing 100029,China;2.Graduate University of Chinese Academy of Sciences,Beijing 100049,China);Seismic instantaneous attribute extraction based on empirical mode decomposition[J];Progress in Geophysics;2008-04
6 ZHU Wei-xing~1,YANG Shao-hu~2,XUE Wei-hui~3, YANG Bing~4,REN Sheng-li~5,ZHU Xue-mei~6 (1,2,4,5.China Oil fied Services Limited,Hebei yanjiao 065201;3.Jidong oil-filed of China oil branch company exploratory development institute,Tangshan,063004;6.Beijing innovation software technology Co.Ltd,Beijing 100008);The oil prediction algorithm based on the method of combining multi decomposition theory of wavelet transforms and amplitude spectrum Fractal dimension[J];Progress in Geophysics;2011-05
7 DONG EN QING\ LIU GUI ZHONG\ ZHANG ZONG PING (School of Electronic and Information Engineering, Xi’an Jiaotong University, Xi’an 710049, China);FAST IMPLEMENTATION TECHNIQUE OF ADAPTIVE KALMAN FILTERING DECONVOLUTION VIA DYADIC WAVELET TRANSFORM[J];Chinese Journal of Geophysics;2001-02
8 LAI XIAOLING ZHANG XIANKANG LI SONGLIN FANG SHENGMINGResearch Center of Exploration Geophysics, CSB, Zhengzhou 450002, China;AN APPLICATION OF WAVELET MULT-RESOLUTION ANALYSIS IN THE STUDY OF CRUST-MANTLE HETEROGENEOUS SCALE[J];Chinese Journal of Geophysics;2003-01
9 CAO Mao-Sen 1,2,REN Qing-Wen1,WANG Huai-Hong3 1 College of Civil Engineering, Hohai University, Nanjing 210098, China 2 College of Water Conservancy and Civil Engineering, Shandong Agricultural University, Tai'an 271018, China 3 College of Geoinformation Science and Engineering, Shandong University of Science and Technology, Tai'an 271019, China;A method of detecting seismic singularities using combined wavelet with fractal[J];Chinese Journal of Geophysics;2005-03
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1 LIU Hong (Institute of Geology & Geophysics,Chinese Academy of Sciences.Beijing 100029,China);In memory of first anniversary of professor LI Shi-xong's death[A];[C];2009
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【Secondary References】
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1 LEI Bin1,ZHA Ting-ting1,GAO Jin2(1.School of Electronic Information Engineering,Xi'an Technological University,Xi'an 710032 China; 2.Institute NO.202 of China Arms Industry Group Corporation,Xianyang,712099 China);Image Enhancement Algorithm in Supercavitation's Digital Imagery[J];Journal of Xi'an Technological University;2012-03
【Secondary Citations】
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1 Gao Jing-huai; Wang Wen-bin; Zhu Guang-ming (Institute of Geophysics, Acadamia Sinica, Beijing 100101, China) (School of Electronics & Information Engineering, Xi'an Jiaotong Univ., Xi'an. 710049, China) (Xo'an College of Engineering, Xi'an 710054, Chin;WAVELET TRANSFORM AND INSTANTANEOUS ATTRIBUTES ANALYSIS[J];Chinese Journal of Geophysics;1997-06
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