학술논문
Sampling theorems with derivatives in shift-invariant spaces generated by periodic exponential B-splines
Document Type
Working Paper
Source
Subject
Language
Abstract
We derive sufficient conditions for sampling with derivatives in shift-invariant spaces generated by a periodic exponential B-spline. The sufficient conditions are expressed with a new notion of measuring the gap between consecutive samples. These conditions are near optimal, and, in particular, they imply the existence of sampling sets with lower Beurling density arbitrarily close to the necessary density.
Comment: 40 pages, 3 figures
Comment: 40 pages, 3 figures