Approximating a bandlimited function in terms of its samples

Abstract

In order to reconstruct a bandlimited signal f from its sampled values it is a standard practice to construct a step function from the samples and then to smoothen this step function by restricting its Fourier transform. The resulting function is used as an approximation for f. The aim ot this paper is to generalize this process in order to decrease the approximation error. (orig.)Available from TIB Hannover: RN 2414(482) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman