Multiresolution analysis and orthogonal wavelets associated with fractional wavelet transform

被引：0
|
作者：
Jun Shi
Xiaoping Liu
Naitong Zhang
机构：
[1] Harbin Institute of Technology,Communication Research Center
[2] Harbin Institute of Technology,Shenzhen Graduate School
来源：
Signal, Image and Video Processing | 2015年 / 9卷
关键词：
Time-frequency analysis; Multiresolution analysis; Orthogonal wavelets; Fractional wavelet transform;
D O I：
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中图分类号：
学科分类号：
摘要：
The fractional wavelet transform (FRWT), which generalizes the classical wavelet transform, has been shown to be potentially useful for signal processing. Many fundamental results of this transform are already known, but the theory of multiresolution analysis and orthogonal wavelets is still missing. In this paper, we first develop multiresolution analysis associated with the FRWT and then derive a construction of orthogonal wavelets for the FRWT. Several fractional wavelets are also presented. Moreover, some applications of the derived results are discussed.
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页码：211 / 220
页数：9
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