Uniform and nonuniform sampling of bandlimited functions with faster convergence

Adel Faridani (Oregon State U, Corvallis)

Mar 17. 2021, 20:00 — 20:45

A family of sampling theorems for the reconstruction of bandlimited functions from their samples is presented. Taking one or more additional samples is shown to yield more rapidly convergent series with lower truncation errors, as well as to facilitate the reconstruction of functions of polynomial growth on the real line. The theorems apply to both uniform sampling and a large class of nonuniform sampling sets. The additional samples may be values of the function itself and/or its derivatives. The general theory is illustrated by several examples and numerical experiments.

This is joint work with Hussain Al-Hammali (Yeoju Technical Institute in Tashkent) .

Further Information
Erwin Schrödinger Institute - virtual
Associated Event:
Tomographic Reconstructions and their Startling Applications (Online Workshop)
Wolfgang Drexler (Med U Vienna)
Peter Elbau (U Vienna)
Ronny Ramlau (RICAM, Linz)
Monika Ritsch-Marte (Med Uni Innsbruck)
Otmar Scherzer (U Vienna)
Gerhard Schütz (TU Vienna)