Some formulas and applications of nonuniform sampling of bandwidth-limited signals

Abstract

An exact nonuniform sampling scheme is proposed based on Cauchy's residue theorem. The noise behavior is studied and the consequences for possible applications given. An inherently nonuniform sampling instrument is built and used in experiments. The results of the application of the formulas for the processing of astronomical data and the error correction of high-frequency network analyzers are given.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>