纺织高校基础科学学报2017，Vol.30Issue(1)：10-17,8.DOI:10.13338/j.issn.1006-8341.2017.01.003
Vilenkin群上信号的分解与重构
The decomposition and reconstruction of signals on Vilenkin groups
摘要
Abstract
Aim to study the algorithm which apply the wavelet theory to the actual signal analysis.According to the actual needs,the dyadic operation on Vilenkin groups is redefined.Then by leading the scaling function and wavelet functions into the Vilenkin groups,the multiresolution analysis is built up.In the followings,the algorithm of decomposition and reconstruction for signals are put foward through analogy and analysis.What's more,the algorithm for signals on the Cantor group is demonstratively given.And the decomposition theorem and reconstruction theorem of the signal on the Vilenkin group are obtained.关键词
Vilenkin群/小波函数/多分辨分析/分解和重构Key words
Vilenkin groups/wavelet functions/multiresolution analysis/decomposition and reconstruction分类
数理科学引用本文复制引用
师东利,李万社,聂伟平..Vilenkin群上信号的分解与重构[J].纺织高校基础科学学报,2017,30(1):10-17,8.基金项目
国家自然科学基金资助项目(11571213) （11571213）
