Multiresolution analysis for linear canonical wavelet transform

被引：0
|
作者：
Guo, Yong [1 ]
Yang, Li-Dong [2 ]
Li, Bing-Zhao [3 ]
机构：
[1] School of Science, Inner Mongolia University of Science and Technology, Baotou,014010, China
[2] School of Information Engineering, Inner Mongolia University of Science and Technology, Baotou,014010, China
[3] School of Mathematics and Statistics, Beijing Institute of Technology, Beijing,102488, China
来源：
IAENG International Journal of Computer Science | 2019年 / 46卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Applied mathematics - Band-limited signal - Construction method - Fourier domain analysis - Generalized orthogonal - Linear canonical transform - Prospective applications - Signal processing fields;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Since linear canonical wavelet transform (LCWT) breaks through the limitation of wavelet transform in time- Fourier domain analysis, LCWT has become a useful mathematical tool in the applied mathematics, engineering and signal processing fields. The multi-resolution analysis (MRA) associated with LCWT can not only provides a method for constructing orthogonal wavelet associated LCWT, but also develops a theoretical basis for fast LCWT algorithm, and thus plays a key role for its prospective applications. In this paper, inspired by sampling theorem of band-limited signal in LCT domain, the MRA associated with LCWT is studied firstly. Moreover, the construction method of orthogonal wavelets for LCWT is developed. Finally, two examples of generalized orthogonal Haar and Shannon wavelets for LCWT are deduced. © International Association of Engineers.
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页码：358 / 364
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