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.