电子科技大学学报2017，Vol.46Issue(4)：481-487,7.DOI:10.3969/j.issn.1001-0548.2017.04.001
基于尺度函数的插值小波构建方法
A Construction Method of Interpolatory Wavelet Based on Scaling Function
摘要
Abstract
In classical wavelet sampling theory, interpolatory wavelets are constructed by using orthogonal wavelets. Since the analytic expressions of orthogonal wavelets are usually complex or unavailable, interpolatory wavelet construction has become an important topic in signal processing and harmonic analysis. In this paper, a new method is proposed to construct interpolating wavelets from scaling functions. Since this method has avoided using orthogonal wavelets in construction of interpolation wavelets, it can greatly improve efficiency of interpolating wavelet construction. Taking Daubechies and Coiflets MRAs as examples, our method is verified to be effective for interpolatory wavelet construction.关键词
插值基/插值小波/多分辨率分析/小波采样Key words
interpolatory bases/interpolatory wavelet/multiresolution analysis/wavelet sampling分类
信息技术与安全科学引用本文复制引用
张治国,胡学海,周依..基于尺度函数的插值小波构建方法[J].电子科技大学学报,2017,46(4):481-487,7.基金项目
国家自然科学基金(60904072,71301018) （60904072,71301018）
