An estimate of the stability of interpolation of signals with a finite Fourier spectrum and a computational experiment

A stability bound is derived and a computational experiment is conducted for the interpolation of signals with a finite Fourier spectrum (or interpolation of the Fourier spectrum of finite signals) The interpolation is conducted by the method previously proposed by one of the authors, which uses a simple interpolation formula for analytical functions from the Wiener class. The method can be applied to suppress noise concentrated in a certain frequency band in cases which require inversion of the Radon transform using incomplete data in computer tomography and other situations.