Gülcü, T. C.Özaktaş, Haldun M.2019-02-212019-02-2120181070-9908http://hdl.handle.net/11693/50203We consider the problem of representing a finite-energy signal with a finite number of samples. When the signal is interpolated via sinc function from the samples, there will be a certain reconstruction error since only a finite number of samples are used. Without making any additional assumptions, we derive a lower bound for this error. This error bound depends on the number of samples but nothing else, and is thus represented as a universal curve of error versus number of samples. Furthermore, the existence of a function that achieves the bound shows that this is the tightest such bound possible.EnglishFinite-energy signalsNonbandlimited signalsProlate spheroidal functionsReconstruction errorSampling theoryUnbandlimited signalsUncertainty principleUncertainty relationshipArticle10.1109/LSP.2017.2769695