Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (32): 116-118.DOI: 10.3778/j.issn.1002-8331.2010.32.032

• 数据库、信号与信息处理 • Previous Articles     Next Articles

Application of fractional Fourier transform in multi-component signals analysis based on spectrogram

PING Dian-fa,ZHAO Pei-hong,DENG Bing   

  1. Dept. of Electronic and Information Engineering,Naval Aeronautical and Astronautical University,Yantai,Shandong 264001,China
  • Received:2009-03-31 Revised:2009-06-01 Online:2010-11-11 Published:2010-11-11
  • Contact: PING Dian-fa

分数阶Fourier变换在多分量信号谱图分析中的应用

平殿发,赵培洪,邓 兵   

  1. 海军航空工程学院 电子信息工程系,山东 烟台 264001
  • 通讯作者: 平殿发

Abstract: As a method of time-frequency analysis,spectrogram will be affected by cross-terms while analysing signals,especially for signals who are aneared,and also frequency resolutions will be influenced.This paper proposes combining fractional Fourier transform with spectrogram towards multi-component signals analysis.First,it obtains the optimal factional orders by using the second order fractional Fourier transform moments,and makes a fractional Fourier transform for multi-component signals according to the gained order,then gives spectrogram analysis based on the FrFT.Simulative examples indicate that the proposed method can effectively distinguish multi-component chirp signals,and the cross-terms can be suppressed availably.

摘要: 作为时频分析方法的一种,谱图对多分量信号分析时受交叉项影响,特别是当信号相隔很近时尤为严重,而且频率分辨率会受影响。给出了结合分数阶Fourier变换(FrFT)对多分量信号进行谱图分析的方法。首先利用分数阶二阶矩极值点而找到相应的最优旋转阶数,对所给多分量信号按此阶数做分数阶Fourier变换,再在此基础上做谱图分析。仿真实例表明,该方法对初始频率、调频率很接近的多分量的chirp信号能有效识别,交叉项可得到较好的抑制。

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