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《JOURNAL OF MATHEMATICS》 1998-S1
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EVOLUTIONARY GENERATION AND FAST ALGORITHMS OF HAAR TYPE TRANSFORMS

Shi Baochang Guo Zhaoli Wang Nengchao (Parallel Computing Institute, Huazhong University of Science and Technology, Wuhan 430074)  
Using the idea of bisection evolution, a new recursively evolving generation method of Haar type transforms is proposed, and hence the in place fast algorithms are obtained for the transforms. [ST5”HZ〗
【Fund】: 国家863高技术计划
【CateGory Index】: O241.5,O174.41
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【References】
Chinese Journal Full-text Database 4 Hits
1 Xiang Xiuqiao Shi Baochang(Department of Mathematics,Huazhong University of Science and Technology,Wuhan430074);Application of Haar Type Orthogonal Transforms in the Digital Watermarking[J];Computer Engineering and Applications;2004-02
2 LV Min,SHI Bao-chang Maths.Department,Huazhong University of Science and Technology,Wuhan 430074,China;Slant-Haar type transform based edge detection.[J];Computer Engineering and Applications;2008-07
3 Shi Baochang Wang Nengchao(Parallel Computing Institute, Huazhong Universityof Science and Technology, Wuhan, 430074);THE EVOLVING GENERATION AND FAST ALGORITHMS OF SLANT HAAR-TYPE TRANSFORM[J];Mathematica Numerica Sinica;2003-01
4 Xiang Xiuqiao Shi Baochang (Department of Mathematics. Huazhong University of Science and Technology, Wuhan, 430074);Vector Algorithm of NonsinusoidI Family Orthogonal Transform[J];Signal Processing;2003-04
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Qi Dongxu; Li Huashan (CAD Center, North China Univ. of Tech., 100041, Beijing, China);On the Affine Transformation in Graph Generating and Image Processing[J];Journal of North China University of Technology;1995-03
2 Li Huashan(CAD Research Center, North China Univ. of Tech. , 100041, Beijing, China);The Algebraic Structure of Gray Code and the Recursive Algorithms for Generating Fractals[J];Journal of North China University of Technology;1996-01
3 ZHANG Qi shan 1,ZHANG Feng yuan 1,WU Jin pei 2 (1 Dept.of Electronic Engineering,BUAA,Beijing 100083,China; 2 Dept.of Electronic Engineering,Wuyi University,Jiangmen,Guangdong 529020,China);The Copy Theory of Generalized Walsh Function for Hybrid Carry System[J];Acta Electronica Sinica;2001-S1
4 WANG Gang,ZHANG Qi shan (School of Electronics and Information Engineering,Beijing University of Aeronautics and Astronautics,Beijing 100083,China);The Study on Code Theory and Sequence Design by Copy Theory[J];Acta Electronica Sinica;2004-02
5 MA Hui1,SONG Rui-xia2,QI Dong-xu1,2(1.Faculty of Information Technology,Macao University of Science and Technology,Macao,China;2.College of Sciences,North China University of Technology,Beijing 100041,China);Orthogonal Complete U-System and Its Application in CAGD[J];Journal of Engineering Graphics;2006-03
6 WANG Guang-chao,LIAO Guo-yong(School of Natural Science,East China Jiaotong University,Nanchang 330013,China);Fast Algorithms of Generalized Walsh Function for Hybrid Carry System[J];Journal of East China Jiaotong University;2006-01
7 ZHANG Qi-shan\+1, WANG Gang\+1, JIN Ming-lu\+2 (1. Faculty 202, Beijing University of Aeronautics and Astronautics, Beijing\ 100083, China) (2. The Department of Electronic Engineering, Shenyang College of Aeronautics, Shenyang\ 110000, China);COPY THEORY OF SIGNAL AND ITS APPLICATION IN THE COMMUNICATION[J];Acta Aeronautica Et Astronautica Sinica;2001-S1
8 ZHANG Qi shan, CHANG Qing (Department of Electronic Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China);SUMMARY OF BRIDGE FUNCTION THEORY[J];Acta Aeronautica Et Astronautica Sinica;2002-05
9 Li Kewei Shi Baochang (Maths Department,Huazhong University of Science and Technology,Wuhan 430074);An Approach to Constructing M-bond Multiwavelet Based on Parametric Slant Matrix and Application[J];Computer Engineering and Applications;2006-14
10 Shi Baochang Wang Nengchao(Parallel Computing Institute, Huazhong Universityof Science and Technology, Wuhan, 430074);THE EVOLVING GENERATION AND FAST ALGORITHMS OF SLANT HAAR-TYPE TRANSFORM[J];Mathematica Numerica Sinica;2003-01
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 WANG\ Zhangxiong (Mathematics Department of Jingzhou Teachers College,Hubei,434100);Orthogonal Bent Functions and High Nonlinearity Balanced Functions Satisfying SAC[J];Acta Scicentiarum Naturalum Universitis Pekinesis;2002-03
2 Li Baoan Li Xingshan Liu Xing (School of Automation Science and Electrical Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China);Research on feature extraction of impulse signal using Walsh transform[J];Journal of Beijing University of Aeronautics and Astronautics;2003-09
3 XU QING (Dept.of Basic Science,Chengdu University of Information Engineering,Chengdu 610041,China);α-Scale Multiwavelets[J];Journal of Chongqing University of Posts and Telecommunications;2001-04
4 MAO Yi-bo, ZANG Bi-shan ( Department of Mathematics, Chongqing Yuxi College, Yongchuan, Chongqing 402168, China; College of Mathematics & Physics, Chongqing University, Chongqing, 400044, China);The Construction of Scale-a Haar Wavelet Bases[J];Journal of Chongqing Institute of Technology;2003-03
5 ZHANG Jingchao,\ ZHANG Shuqing,\ LI Xin (Yanshan University,\ Qinhuangdao, Hebei 066004 P.R.China);The Intermittent Chaotic Method of Fake Signal Detection[J];Journal of Transcluction Technology;2001-04
6 ZHU Zhi yu 1, JIANG Chang sheng 1, ZHANG Bing 2, LIU Wei ting 2 (1.Coll of Automation Engin,Nanjing University of Aeronautics and Astronautics,Nanjin 210016,China; 2.Dept of Elct and Info,Jiangsu University of Science and Technology,Zhenjiang 212003,China);Weak signal detection based on chaotic theory[J];Journal of Transducer Technology;2005-05
7 WANG Yu hai, ZHU Chang qing(Institute of Surveying and Mapping, Information and Engineering University, Zhengzhou 450052, China);The vector relief data compression based on the mulit-band wavelet[J];Science of Surveying and Mapping;2003-03
8 Ni Chuankun, Zhou Jianzhong (Huazhong University of Science and Technology, Wuhan 430074, China);SVD-BASED AUTOMATIC IDENTIFICATION OF AXIS TRACK OF HYDROPOWER GENERATING SETS[J];Dam Observation and Geotechnical Tests;2003-06
9 Peng Wenji Luo Xingqi (Xi’an University of Technology Xi’an 710048 China);Vibration Fault Diagnosis of Hydro-Turbine Generating Unit Based on Rough Sets and Support Vector Machine[J];Transactions of China Electrotechnical Society;2006-10
10 YUAN Yu,MA Xiao-jiang (Key Lab.of Precis.& Non-tradit.Mach.Technol.of Minist.of Edu., Dalian Univ.of Technol.,Dalian 116024,China);Classification of reciprocating compressor faults based on multi-component singular entropy[J];Journal of Dalian University of Technology;2007-02
【Secondary References】
Chinese Journal Full-text Database 10 Hits
1 WANG Guang-chao,LIAO Guo-yong(School of Natural Science,East China Jiaotong University,Nanchang 330013,China);Fast Algorithms of Generalized Walsh Function for Hybrid Carry System[J];Journal of East China Jiaotong University;2006-01
2 SHI Jing1,LIN Ke-zheng1,MAO Jun-jie2(1.College of Computer Science & Technology,Harbin Univ.Sci.Tech.,Harbin 150080,China;2.Dep.of Computer,Beijing University of Technology,Beijing 100022,China);Image Digital Watermarking Algorithm Based on Double Transforms[J];Journal of Harbin University of Science and Technology;2007-06
3 Shi Baochang Li Kewei Xie Songfa(Department of Mathematics,Huazhong University of Science and Technology,Wuhan 430074,China);Texture classification based on M-mand Haar wavelet transform and slant Haar wavelet filter banks[J];Journal of Huazhong University of Science and Technology(Nature Science Edition);2006-09
4 Shi Baochang Yang Yi(Department of Mathematics,Huazhong University of Science and Technology,Wuhan 430074,China);Color image coding based on three-dimensional parametric slant-Haar transforms(3D-PSHT)[J];Journal of Huazhong University of Science and Technology(Nature Science Edition);2007-10
5 Xiang Xiuqiao Shi Baochang(Department of Mathematics,Huazhong University of Science and Technology,Wuhan430074);Application of Haar Type Orthogonal Transforms in the Digital Watermarking[J];Computer Engineering and Applications;2004-02
6 ZHAO Jing SHI Bao-chang (Department of Mathematics,Huazhong University of Science and Technology,Wuhan 430074);Digital Watermarking Algorithm Based on 2-D Walsh and Slant Transforms[J];Computer Engineering and Applications;2006-26
7 ZHENG Qiong1,SHI Bao-chang21.Department of Mathematics,Huazhong University of Science and Technology,Wuhan 430074,China 2.Parallel Computing Institute,Huazhong University of Science and Technology,Wuhan 430074,China;Generalized parametric P-ordered slant transforms with applications[J];Computer Engineering and Applications;2007-09
8 LV Min,SHI Bao-chang Maths.Department,Huazhong University of Science and Technology,Wuhan 430074,China;Slant-Haar type transform based edge detection.[J];Computer Engineering and Applications;2008-07
9 WANG Xiao-chun1,SONG Rui-xia2 1.College of Sciences,Beijing Forestry University,Beijing 100083,China2.College of Sciences,North China University of Technology,Beijing 100041,China;Discrete representation and fast algorithm of new class of orthogonal system[J];Computer Engineering and Applications;2008-08
10 Wang Guangchao(School of Basic Science, East China Jiaotong University, Nanchang 330013);Copy theory Research of Sequence Code Based on Fractal Theory[J];Science Mosaic;2006-04
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