N维2带小波紧框架的构造

何永滔

系统科学与数学 ›› 2010, Vol. 30 ›› Issue (10) : 1368-1378.

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PDF(355 KB)
系统科学与数学 ›› 2010, Vol. 30 ›› Issue (10) : 1368-1378. DOI: 10.12341/jssms09275
论文

N维2带小波紧框架的构造

    何永滔
作者信息 +

Construction of N-Dimensional Two-Band Tight Wavelet Frames

    HE Yongtao
Author information +
文章历史 +

摘要

给出了m个函数生成N维2带小波紧框架的充分条件和N维2带小波紧框架的显式构造算法,
讨论了小波紧框架的分解算法与重构算法. 提出的构造方法很有普遍性, 容易推广到N(N2)M(M2)带小波紧框架的情形,也可以得到类似的小波紧框架的分解算法与重构算法.

Abstract

In this paper, sufficient condition for N-dimensional two-band tight wavelet frames and explicit algorithm for the construction of tight wavelet frames are
presented. The decomposition and reconstruction formulas of N-dimensional two-band tight wavelet frames are also provided. The methods presented here have generality, the N-dimensional M-band tight wavelet frames can be constructed similarly, and the similar decomposition and reconstruction formulas of tight wavelet frames can be obtained.

关键词

小波紧框架 / 尺度函数 / 框架多分辨分析.

Key words

Tight wavelet frames / scaling function / frame multiresolution analysis.

引用本文

导出引用
何永滔. N维2带小波紧框架的构造. 系统科学与数学, 2010, 30(10): 1368-1378. https://doi.org/10.12341/jssms09275
HE Yongtao. Construction of N-Dimensional Two-Band Tight Wavelet Frames. Journal of Systems Science and Mathematical Sciences, 2010, 30(10): 1368-1378 https://doi.org/10.12341/jssms09275
中图分类号: 42C40    65T60   
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