最小时频带宽积Gabor谱图及应用  

Gabor Spectrogram Based Onminimal Time-bandwidth Product and its Application

作　　者：田琳[1] 梁华兰[1] 董金臣[1] 

机构地区：[1]伊犁师范学院电子与信息工程学院,新疆伊宁835000

出　　处：《新疆师范大学学报（自然科学版）》2015年第3期66-70,共5页Journal of Xinjiang Normal University(Natural Sciences Edition)

基　　金：伊犁师范学院科研项目资助(2014YSYB04)

摘　　要：短时傅里叶变换谱图的方法已广泛运用于信号处理的各个领域,但是短时傅里叶变换谱图的时频分辨率较低。Gabor谱图是短时傅里叶变换谱图的一种特殊形式,文章把时频带宽积最小标准运用到Gabor谱图的窗函数中去,提出了最小时频带宽积Gabor谱图。最小时频带宽积Gabor谱图利用了Heisenberg不确定原理,时频分析结果的时间和频率两个变量都将得到较高的分辨率。将该方法运用于测试信号和实际信号的时频分析,仿真实验结果显示最小时频带宽积Gabor谱图得到了较好的时频分析结果。Short time Fourier transform （ STFT） spectrogram methods are widely used in various fields of sig-nal processing, yet STFT spectrogram has poor resolutions.Gabor spectrogram can be interpreted as special case of STFT spectrogram.In this paper, minimal time-bandwidth product （TBP） criterion is introduced into the window function of Gabor spectrogram;the Gabor spectrogram based on time-bandwidth product is achieved.The optimal Gabor spectrogram utilizes the Heisenberg uncertainty principle and time and frequency acquire good resolutions in time-frequency domain.This method is applied to test signal and the real signal, the results show Gabor spectro-gram based minimal TBP has good performances.

关 键 词：谱图 时频带宽积 海森堡不确定原理 时频分辨率 

分 类 号：O456[理学—无线电物理]