Superresolution via extrapolation with constraints on signal duration

Method of signal extrapolation in frequency domain for improvement of resolution in time domain is proposed. The main idea of this method is use of concept of duration of signal through formulation of non-energy constraints, when there is a priori information about finiteness of signal support in time domain. Unlike traditional extrapolation techniques no strict model of extrapolated data is required, as well as no exact information about signal support in Fourier conjugate domain must be provided. Developed approach is investigated through numerical simulations and applied for processing of multifrequency data of complex reflection coefficient of dielectric layered structure.