航空学报 > 2008, Vol. 29 Issue (4): 1013-1019

基于广义S变换的图像局部时频分析

甄莉,彭真明   

  1. 电子科技大学 光电信息学院
  • 收稿日期:2007-07-02 修回日期:2007-12-10 出版日期:2008-07-10 发布日期:2008-07-10
  • 通讯作者: 甄莉

Local Time-frequency Analysis of Images Based on Generalized S-transform

Zhen Li,Peng Zhenming   

  1. School of Opto-Electronic Information, University of Electronic Science andTechnology of China
  • Received:2007-07-02 Revised:2007-12-10 Online:2008-07-10 Published:2008-07-10
  • Contact: Zhen Li

摘要:

非平稳信号具有良好的时频局部特性,但是使用一些常规的信号处理方法对其进行时频分析具有一定难度。为了解决这一难题,引入基于广义S变换的时频分析方法来进行一维和二维空间非平稳信号的时频分析。同时,为避开对图像直接进行S变换带来的大时间开销和运算难度,选用不同尺度的局部窗口将二维图像转化成一维信号进行处理,再分别利用基本S变换和时频分辨率可调的广义S变换进行算法仿真和时频分析。试验结果表明,广义S变换比基本S变换具有更灵活的时频聚焦性。

关键词: S变换, 广义S变换, 时频分析, 局部时频谱, 图像处理

Abstract:

Although non-stable signals have some excellent local time-frequency properties, it is difficult to analyze their time-frequency properties by using some conventional signal processing methods.In order to solve these problems, a new timefrequency analysis approach based on generalized S-transform is introduced to non-stable signals processing in the 1D and 2D space. At the same time, in order to avoid the time complexities and computing difficulties in the direct 2D S-transform,the images are put into a series of 1D signals by choosing different scalable local time windows. Then, the algorithm simulation and time-frequency analysis are achieved through both basic S-transform and generalized S-transform that has an adjustable time-frequency resolution. At last, the results demonstrate that the generalized S-transform has more flexible time-frequency focusing property than S-transform.

Key words: S-transform,  , generalized , S-transform,  , time-frequency , analysis,  , local , timefrequency , spectrum,  , image- , processing

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