As in the case of seismic attenuation, dielectric loss or radar attenuation may be related to the quality factor Q which is given by the ratio of the real to imaginary parts of effective (or total) dielectric permittivity. The frequency dependence of both parts of the effective permittivity would imply the broadening (absorption) and distortion (dispersion) of the radar pulse when it travels into the earth, so the radar pulse is not stationary. Therefore the classical deconvolution and migration methods, used currently in seismic processing, do not always work well in the case of GPR data. In order to compensate for radar attenuation (absorption and dispersion) two methods 1D and 2D) are proposed. These methods are based on the weighted downward extrapolation of the electric field in the frequency domain. The results are tested and illustrated using synthetic and real radargrams in 1 and 2D. ¿ American Geophysical Union 1996