文章基本信息

标题：Multiresolution Analysis for Linear Canonical Wavelet Transform
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作者：Yong Guo ; Li-Dong Yang ; Bing-Zhao Li 等
期刊名称：IAENG International Journal of Computer Science
印刷版ISSN：1819-656X
电子版ISSN：1819-9224
出版年度：2019
卷号：46
期号：2
页码：358-364
出版社：IAENG - International Association of Engineers
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 mathematicaltool in the applied mathematics, engineering andsignal processing fields. The multi-resolution analysis (MRA)associated with LCWT can not only provides a method forconstructing orthogonal wavelet associated LCWT, but alsodevelops a theoretical basis for fast LCWT algorithm, and thusplays a key role for its prospective applications. In this paper,inspired by sampling theorem of band-limited signal in LCTdomain, the MRA associated with LCWT is studied firstly.Moreover, the construction method of orthogonal waveletsfor LCWT is developed. Finally, two examples of generalizedorthogonal Haar and Shannon wavelets for LCWT are deduced.
关键词：linear canonical wavelet transform; multiresolution;analysis; wavelet transform; linear canonical transform;linear canonical convolution