Local Fractional Discrete Wavelet Transform for Solving Signals on Cantor Sets

被引:9
作者
Zhao, Yang [1 ,2 ]
Baleanu, Dumitru [3 ,4 ,5 ]
Cattani, Carlo [6 ]
Cheng, De-Fu [1 ]
Yang, Xiao-Jun [7 ]
机构
[1] Jilin Univ, Coll Instrumentat & Elect Engn, Changchun 130061, Peoples R China
[2] Jiangmen Polytech, Elect & Informat Technol Dept, Jiangmen 529090, Peoples R China
[3] King Abdulaziz Univ, Dept Chem & Mat Engn, Fac Engn, Jeddah 21589, Saudi Arabia
[4] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey
[5] Inst Space Sci, Bucharest 077125, Romania
[6] Univ Salerno, Dept Math, I-84084 Salerno, Italy
[7] China Univ Min & Technol, Dept Math & Mech, Xuzhou 221008, Jiangsu, Peoples R China
关键词
FOURIER-TRANSFORMS; HEAT-CONDUCTION;
D O I
10.1155/2013/560932
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The discrete wavelet transform via local fractional operators is structured and applied to process the signals on Cantor sets. An illustrative example of the local fractional discrete wavelet transform is given.
引用
收藏
页数:6
相关论文
共 36 条
[1]   THE FRACTIONAL FOURIER-TRANSFORM AND TIME-FREQUENCY REPRESENTATIONS [J].
ALMEIDA, LB .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1994, 42 (11) :3084-3091
[2]  
[Anonymous], 2012, PROC IEEE VEHICULAR, DOI DOI 10.1109/VTCFALL.2012.6399192
[3]  
[Anonymous], 2012, FRACTIONAL CALCULUS, DOI DOI 10.1142/10044
[4]   FPGA-Implementation of Discrete Wavelet Transform with Application to Signal Denoising [J].
Bahoura, Mohammed ;
Ezzaidi, Hassan .
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2012, 31 (03) :987-1015
[5]  
Baleanu D., 2012, ADV WAVELET THEORY A
[6]   Discrete fractional wavelet transform and its application to multiple encryption [J].
Bhatnagar, Gaurav ;
Wu, Q. M. Jonathan ;
Raman, Balasubramanian .
INFORMATION SCIENCES, 2013, 223 :297-316
[7]   The elastic problem for fractal media: basic theory and finite element formulation [J].
Carpinteri, A ;
Chiaia, B ;
Cornetti, P .
COMPUTERS & STRUCTURES, 2004, 82 (06) :499-508
[9]   Shannon Wavelets Theory [J].
Cattani, Carlo .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2008, 2008
[10]   Optical image encryption based on fractional wavelet transform [J].
Chen, LF ;
Zhao, DM .
OPTICS COMMUNICATIONS, 2005, 254 (4-6) :361-367