应用数学2006，Vol.19Issue(3)：569-574,6.
二进小波变换的卷积定理
The Convolution Theorem for Dyadic Wavelet Transform
摘要
Abstract
Applications of dyadic wavelet transform to signal processes is studied. We first show that the convolution and correlation of two dyadic wavelets who satisfy admissibility and regularity condition satisfy the admissibility and regularity condition, and then we derive the convolution and correlation theorem for the dyadic wavelet transform. Finally, we present numerical example showing the usefulness of applying the convolution theorem for the dyadic wavelet transform to perform signal restoration in the presence of additive noise.关键词
傅立叶变换/二进小波/卷积/相关Key words
Fourier transform/Dyadic wavelet/Convolution/Correlation分类
数理科学引用本文复制引用
石智,魏恒东,郑建国..二进小波变换的卷积定理[J].应用数学,2006,19(3):569-574,6.基金项目
Supported by the National Natural Science Foundation of China (10071068) （10071068）
