Reconstruction of permittivity profile by Gel’fand-Levitan method using reflectometry data extrapolation

New approach to permittivity profile reconstruction based on Gelpsilafand-Levitan iterative scheme is considered. The impulse reflection response data being the ground for reconstruction is examined to be obtained with use of microwave reflection coefficient data extrapolation technique completed with discrete Fourier transform. This extrapolation technique provides possibility of treating with the problem of impulse polarity determination being the obstacle for common spectral analysis methods. Extrapolation is carried through special nonquadratic regularization procedure based on minimum duration method. Result of numerical data processing is presented.