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| 分数阶小波变换的性质 | |
| 引用本文： | 黄思齐,姚加明,许兴武.分数阶小波变换的性质[J].测控技术,2009,28(4). |
| 作者姓名： | 黄思齐 姚加明 许兴武 |
| 作者单位： | 1. 贵州省信息产业厅信息化推进处,贵州,贵阳,550004 2. 江苏武进液压启闭机有限公司,江苏,常州,213131 3. 南京市三汊河河口闸管理处,江苏,南京,210036 |
| 摘 要： | 小波变换是对信号时域-频域(Fourier域)的多分辨率分析,是一种线性时不变伸缩带通滤波.分数阶小波变换将小波变换的多分辨率分析理论推广到时域-广义频域(分数阶Fourier域),对信号分析处理有更大的灵活性.分析了分数阶小波变换的线性时变特性、存在正交分教阶小波的条件、分数阶Fourier域传递函数,以及分数阶小波变换在分数阶Fourier域的伸缩带通滤波. |
| 关 键 词： | 小波变换 多分辨率分析 分数阶Fourier变换 滤波器 |
Properties of the Fractional Wavelet Transform |
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| HUANG Si-qi,YAO Jia-ming,XU Xing-wu.Properties of the Fractional Wavelet Transform[J].Measurement & Control Technology,2009,28(4). | |
| Authors: | HUANG Si-qi YAO Jia-ming XU Xing-wu |
| Affiliation: | 1.Promoting Information Technology Office;Guizhou Province Information Industry Deparment;Guiyang 550004;China;2.Jiangsu Wujin Hydraulic Hoist Co.;Ltd.;Changzhou 213131;3.Gateway Sancha River Estuary Management Office;Nanjing 210036;China |
| Abstract: | The wavelet transform can be viewed as multi-resolution analysis of signals in the time-frequency(the Fourier domain) domain or as the linear time-variant filtering process with dilated band-pass filters.Comparing with the primitive multi-resolution analysis of signals in the time-frequency domain,the fractional wavelet transform(FRWT),a generalization of the wavelet transform,which is a flexible method for the signal processing with trivial complexity compared with the well-known wavelet transform,develops... |
| Keywords: | wavelet transform multi-resolution analysis fractional Fourier transform filters |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |
