Computer Engineering and Applications ›› 2013, Vol. 49 ›› Issue (5): 210-212.

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Multi-Gaussian window based real-value discrete Gabor transform

LI Rui, TAO Liang   

  1. MOE Key Lab of Intelligence Computing and Signal Processing, Anhui University, Hefei 230039, China
  • Online:2013-03-01 Published:2013-03-14

基于多高斯窗的实值离散Gabor变换

李  锐,陶  亮   

  1. 安徽大学 计算智能与信号处理教育部重点实验室,合肥 230039

Abstract: The traditional single-window based discrete Gabor transform has a fixed joint time-frequency resolution. Due to the uncertainty principle the time resolution and frequency resolution in the Gabor transform domain have an inverse proportion relationship. In order to improve the joint time-frequency resolution of the traditional discrete Gabor transform and speed up the transform, it presents a multi-Gaussian window based real-valued discrete Gabor transform. The experimental results show that the proposed transform can effectively improve the accuracy of the joint time-frequency resolution, it provides a fast method for the computation of the evolutionary spectrum of the non-stationary signals with the high joint time-frequency resolution.

Key words: real-valued discrete Gabor transform, time-frequency signal analysis, evolutionary spectrum

摘要: 传统的单窗复值离散Gabor变换具有固定的时频分辨率,由于受窗函数时宽-带宽之间的制约关系,即不确定性原理限制,其时间分辨率和频率分辨率是矛盾的关系。为了改善传统离散Gabor变换时频分辨率并加快其变换速度,提出了一种基于多高斯窗的实值离散Gabor变换,实验结果表明能有效改善联合时频域内的聚集性,从而提供了一种快捷地计算非平稳信号进化谱方法。

关键词: 实值离散Gabor变换, 时频分辨率, 进化谱