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| 二进小波变换的卷积定理 | |
| 引用本文： | 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 |
| 作者姓名： | 石智 魏恒东 郑建国 |
| 作者单位： | 西安建筑科技大学理学院,陕西,西安,710055 |
| 摘 要： | 本文研究二进小波变换在信号处理中的应用.首先证明了两个满足容许性条件和规范性条件的二进小波的卷积和相关仍满足容许性和规范性条件,然后证明了二进小波变换的卷积定理和相关性定理,最后给出数值例子说明二进小波变换的卷积定理在加噪信号重构中的优越性. |
| 关 键 词： | 傅立叶变换 二进小波 卷积 相关 |
| 文章编号： | 1001-9847(2006)03-0569-06 |
| 收稿时间： | 2005-11-21 |
| 修稿时间： | 2005-11-21 |
The Convolution Theorem for Dyadic Wavelet Transform |
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| SHI Zhi,WEI Heng-dong,ZHENG Jian-guo. The Convolution Theorem for Dyadic Wavelet Transform[J]. Mathematica Applicata, 2006, 19(3): 569-574 | |
| Authors: | SHI Zhi WEI Heng-dong ZHENG Jian-guo |
| 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. |
| Keywords: | Fourier transform Dyadic wavelet Convolution Correlation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |