J4 ›› 2012, Vol. 42 ›› Issue (2): 569-574.

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Wavelet Extraction of GPR Signals Based on Fractional Fourier Transform

Zhang Li-li1,2, Liu Si-xin1, Wu Jun-jun1, Jia Liang1,2, Kang Xiao-tao3   

  1. 1.College of GeoExploration Science and Technology, Jilin University, Changchun130026, China;
    2.College of Electronic and Information Engieering, Shenyang Aerospace University, Shenyang110034, China;
    3.College of Communication Engineering| Jilin University, Changchun130022, China
  • Received:2011-07-02 Online:2012-03-26 Published:2012-03-26

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Abstract:

Wavelet extraction algorithm based on fractional Fourier transform is presented in this paper. The wavelet and GPR medium is descried as a time integral based on the assumption that GPR medium model is linear time-varying systems and the wavelet is unchanging during propagation. Because fractional Fourier transform is a unitary transform and of norm-preserving, the wavelet extraction is transformed into optimal filtering problem in the fractional Fourier transform domain. The optimal solution is found by searching p in the range of (－2, 2\] to step 1/300. Finally, wavelet estimation signal in time-domain is obtained after an inverse fractional Fourier transform.The simulation shows that the optimal filtering algorithm of fractional Fourier transform is correct. The extracted wavelet from experiment  GPR data shows that the wavelet extraction algorithm is valid.

Key words: ground penetrating radar (GPR), extraction, linear systems, wavelet, fractional Fourier transform (FrFT), unitary transform, optimal filtering

CLC Number: 

  • P631.3
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