Spectral balancing GPR data using time-variant bandwidth in the t-f domain

Ground-penetrating radar (GPR) sections encounter a resolution reduction with depth because, for electromagnetic (EM) waves propagating in the subsurface, attenuation is typically more pronounced at higher frequencies. To correct for these effects, we have applied a spectral balancing technique, using the S-transform (ST). This signal-processing technique avoids the drawbacks of inverse Q* filtering techniques, namely, the need for estimation of the attenuation factor Q* from the GPR section and instability caused by scattering effects that result from methods of dominant frequency-dependent estimation of Q* . The method designs and applies a gain in the time-frequency ( t-f ) domain and involves the selection of a time-variant bandwidth to reduce high-frequency noise. This method requires a reference amplitude spectrum for spectral shaping. It performs spectral balancing, which works efficiently for GPR data when it is applied in very narrow time windows. Furthermore, we have found that spectral balancin...

[1]  John H. Bradford,et al.  Instantaneous Spectral Analysis: Time-Frequency Mapping via Wavelet Matching with Application to Contaminated-Site Characterization by 3D GPR , 2007 .

[2]  Jean-François Girard,et al.  Ground penetrating radar imaging and time-domain modelling of the infiltration of diesel fuel in a sandbox experiment. , 2009 .

[3]  Dennis Gabor,et al.  Theory of communication , 1946 .

[4]  Satish Sinha,et al.  Instantaneous spectral attributes using scales in continuous-wavelet transform , 2009 .

[5]  John H. Bradford,et al.  Frequency-dependent attenuation analysis of ground-penetrating radar data , 2007 .

[6]  Martin Schimmel,et al.  Frequency‐dependent phase coherence for noise suppression in seismic array data , 2007 .

[7]  Greg Turner Subsurface radar propagation deconvolution , 1994 .

[8]  C. Robert Pinnegar,et al.  The S-transform with windows of arbitrary and varying shape , 2003 .

[9]  Georgios P. Tsoflias,et al.  Monitoring pumping test response in a fractured aquifer using ground‐penetrating radar , 2001 .

[10]  Antonios Giannopoulos,et al.  Modelling ground penetrating radar by GprMax , 2005 .

[11]  C. Robert Pinnegar,et al.  Application of the S transform to prestack noise attenuation filtering , 2003 .

[12]  Maksim Bano,et al.  Modelling of GPR waves for lossy media obeying a complex power law of frequency for dielectric permittivity , 2004 .

[13]  Maksim Bano Modeling and inverse Q imaging of ground penetrating radar waves in 1 and 2d , 1996 .

[14]  Lalu Mansinha,et al.  Localization of the complex spectrum: the S transform , 1996, IEEE Trans. Signal Process..

[15]  Gary F. Margrave,et al.  Theory of nonstationary linear filtering in the Fourier domain with application to time‐variant filtering , 1998 .

[16]  Jon F. Claerbout,et al.  Spectral balancing in the time domain , 1981 .

[17]  Greg Turner,et al.  Constant Q attenuation of subsurface radar pulses , 1994 .

[18]  Walter E. Medeiros,et al.  A practical approach to correct attenuation effects in GPR data , 2006 .

[19]  Stefano Parolai,et al.  Denoising of Seismograms Using the S Transform , 2009 .

[20]  Jens Tronicke,et al.  Enhancing the vertical resolution of surface georadar data , 2009 .

[21]  James Irving,et al.  Removal of Wavelet Dispersion from Ground-Penetrating Radar Data , 2003 .

[22]  J. Sharp,et al.  Three-Dimensional Hydrogeologic Characterization of Fractured Carbonate Aquifers Using Ground-Penetrating Radar , 1998 .

[23]  A. P. Annan Transmission Dispersion and GPR , 1996 .

[24]  Jianghai Xia,et al.  Application of deterministic deconvolution of ground-penetrating radar data in a study of carbonate strata , 2004 .