| 线性正则变换域的框架理论研究 |
| |
| 引用本文： | 李炳照,陶然,王越.线性正则变换域的框架理论研究[J].电子学报,2007,35(7):1387-1390. |
| |
| 作者姓名： | 李炳照 陶然 王越 |
| |
| 作者单位： | 北京理工大学电子工程系,北京100081;北京理工大学理学院数学系,北京,100081;北京理工大学电子工程系,北京100081 |
| |
| 基金项目： | 国家部委科研项目，北京理工大学校科研和教改项目 |
| |
| 摘 要： | 框架理论是研究信号采样特别是非均匀采样问题的一个重要工具,基于框架理论的Gabor展开是在时频混合空间描述信号的非正交展开,而Weyl-Heisenberg框架理论是Gabor展开的理论基础,它描述了信号在时频平面的局部性质与特点,在信号的短时Fourier变换(STFT)、Gabor展开中起到非常重要的作用.本文探讨了W-H框架在线性正则变换下的特点,得到了在时域和线性正则变换域联合空间中信号的展开形式,为在线性正则变换域中讨论信号的展开和非均匀采样问题打下了良好的理论基础.
|
| 关 键 词： | 线性正则变换(LCT) W-H框架 时频分析 |
| 文章编号： | 0372-2112（2007）07-1387-04 |
| 收稿时间： | 2005-12-20 |
| 修稿时间： | 2005-12-20 |
Frames in Linear Canonical Transform Domain |
| |
| LI Bing-zhao,TAO Ran,WANG Yue.Frames in Linear Canonical Transform Domain[J].Acta Electronica Sinica,2007,35(7):1387-1390. |
| |
| Authors: | LI Bing-zhao TAO Ran WANG Yue |
| |
| Institution: | 1. Electronic Engineering Department,Beijing Institute of Technology,Beijing 100081,China;2. Mathematics Department,School of Science,Beijing Institute of Technology,Beijing 100081,China |
| |
| Abstract: | The frame theory is one of the fundamental tools in study the sampling questions,epically for non-uniform sampling questions,in signal processing community.Weyl-Heisenberg frames are foundation of Gabor transform,Short time Fourier transform,and proved to be important tools in time-frequency signal processing,it gives a signal's local properties by using these frames to present a signal.Extensions of these frames are obtained in the linear canonical transform domains from the frames in the time-frequency domain,properties of frames in linear canonical transform domains are also derived. |
| |
| Keywords: | linear canonical transform Weyl-Heisenberg frames time-frequency analysis |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《电子学报》浏览原始摘要信息 |
| 点击此处可从《电子学报》下载免费的PDF全文 |
|
