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《Journal of Chongqing University(Natural Science Edition)》 2007-03
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General Cardinal Multiwavelets

MAO Yi-bo(Department of Mathematics,Chongqing University of Arts and Sciences,Yongchuan 402168,China)  
Balanced multiwavelets can avoid prefiltering.Cardinal multiwavelet is an active field in wavelet research.By relationshi Pbetween balanced order and approximation order in time domain the author investigate interpolatory multiwavelet and show its balanced order is equal to its approximation order.As for general cardinal orthogonal multiwavelet,sampling property and existent condition of its cardinal parameters are studied.Its balanced order is not equal its approximation order in a general way.
【Fund】: 重庆市教委科学技术研究项目(重教[KJ051203])
【CateGory Index】: O174.42
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【Citations】
Chinese Journal Full-text Database 5 Hits
1 Chen Jun-li Jiao Li-cheng (Institute of Intelligent Information Processing and Key Lab for Radar Signal Proc., Xidian Univ., Xi'an 710071, China);Design of Interpolating Orthogonal Multiwavelet[J];Journal of Electronics and Information Technology;2004-11
2 MAO Yi bo (Department of Mathematics, Yuxi College , Yongchuan , Chongqing 402168, China);Balance Order and Interpolatory Property of M-band Multiwavelets[J];Journal of Chongqing University(Natural Science Edition);2005-04
3 CUI Ling hong, CHENG Zheng xing (Faculty of Science, Xi'an Jiaotong University, Xi'an 710049);Theory and Design of Multiwavelet and Balanced Multiwavelet[J];Chinese Journal of Engineering Mathematics;2001-S1
4 GAO Xie-Ping 1 and JIA Cai-Yan 2 1(Information Engineering College, Xiangtan University, Xiangtan 411105) 2(Institute of Computing Technology, Chinese Academy of Sciences, Beijing 100080);A General Cardinal Multiwavelet and Its Construction Based on Hopfield Neural Networks[J];Journal of Computer Research and Development;2003-06
5 Shou Zhi YANG Department of Mathematics, Shantou University, Shantou 515063, P. R. China;Compactly Supported Orthogonal Interpolation Multiwavelets and Multiscaling Functions[J];Acta Mathematica Sinica;2005-03
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 LI Xiao-xiong1,2,WU Qing-he1(1.Department of Automatic Control,School of Information Science and Technology,Beijing Institute of Technology,Beijing 100081,China;2.Yellow River Conservancy Technical Institute,Kaifeng,Henan 475004,China);Construction of High-Order Balanced Multiwavelets Using Groebner Basis[J];Transactions of Beijing Institute of Technology;2007-04
2 ZHENG Cheng-yong(Department of Mathematics & Physics,Wuyi University,Jiangmen Guangdong 529020,China);SVM Face Recognition Compare between Various Wavelet and Multi-Wavelet Transform[J];Journal of Jiangxi Normal University(Natural Sciences Edition);2008-01
3 TANG Hui-ling1,LIU Zhi-jun2(1.School of Physics & Opto-Electronic Engineering,Guangdong University of Technology,Guangzhou 510090,China;2.Guangzhou Maritime College,Guangzhou 510725,China);The Application of Multiwavelet Transformation in Power Quality Disturbance Detetction and Classification[J];Journal of Jiangxi Normal University(Natural Sciences Edition);2009-02
4 MAO Yibo, ZHANG Bishan,ZENG Li (School of Mathematics and Science,Chongqing University, Chongqing 400044,China);Design of Symmetric Balanced Multiwavelets[J];Journal of Chongqing Teachers College(Natural Science Edition);2003-01
5 ZOU Hai-lin, NING Shu-nian, ZOU Hua-sheng (China University of Mining & Technology, Beijing 100083, China);Performance analysis of GPR image de-noising based on different pre-processing methods[J];Progress In Geophysics;2005-02
6 MAO Yi bo (Department of Mathematics, Yuxi College , Yongchuan , Chongqing 402168, China);Balance Order and Interpolatory Property of M-band Multiwavelets[J];Journal of Chongqing University(Natural Science Edition);2005-04
7 MAO Yi-bo (Chongqing University of Arts and Sciences, Yongchuan Chongqing 402168 );M-Band Balanced Multiwavelets[J];Chinese Journal of Engineering Mathematics;2005-06
8 LIU Zhen-xing1,GUO Ye-cai1,2,GAO Min1,ZHAO Xue-qing1(1.School of Electrical and Information Engineering,Anhui University of Science and Technology,Huainan 232001,Anhui,China;2.College of Electronic and Information Engineering,Nanjing University of Information Science and Technology,Nanjing 210044,Jiangsu,China);Multi-wavelet Fuzzy Neural Network Blind Equalization Algorithm in Underwater Acoustic Channel[J];Acta Armamentarii;2010-09
9 LI Xiao-xiong1,2, NIU Shuang-guo2(1.School of Information Science and Technology, Beijing Institute of Technology, Beijing, 100081, China;2.Yellow River Conservancy Technical Institute, Henan Kaifeng 475004, China);Grbner Basis Construction and Application of Balanced Multiwavelet[J];Journal of Henan University(Natural Science);2007-06
10 WANG Hai-jiang1,WANG Zhou-long1,WU Meng-quan,WANG Da-peng2,CUI Qing-chun11.College of Geography and Planning,Ludong University,Yantai,Shandong 264025,China2.College of Geography and Planning,Zaozhuang University,Zaozhuang,Shandong 277160,China;Remote-sensed image fusion based on multiwavelet packet transform[J];Computer Engineering and Applications;2008-15
【Secondary Citations】
Chinese Journal Full-text Database 4 Hits
1 MAO Yi-bo~1, ZHANG Bi-shan~2,YANG Wan-nian~2(1. Department of Mathematics, Yuxi College , Chongqing Yongchuan 402168,China;2.Department of Computing Science and Applied phiscis Guilin 541004,China;3.College of Mathematics and Physics, Chongqing University, Chongqing 400044,China);Condition of Approximation Order for M-band Multiscaling Functions in Frequency Domain[J];Journal of Chongqing University(Natural Science Edition);2003-12
2 CUI Ling hong, CHENG Zheng xing (Faculty of Science, Xi'an Jiaotong University, Xi'an 710049);Theory and Design of Multiwavelet and Balanced Multiwavelet[J];Chinese Journal of Engineering Mathematics;2001-S1
3 Liu Yannian, Feng Chunbo(Southeast University);A Method for Solving Nonlinear Equations by Using the Neural Network[J];Control and Decision;1991-01
4 YANG Shou-zhi1, YANG Xiao-zhong2 (1.Dept. of Math., Xi'an Jiaotong University, Xi'an 710049,China; 2. North China University of Electric Power, Beijing 102206,China);Biorthogonal Multiwavelets with Dilation Factor a[J];Mathematica Applicata;2001-03
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