Article ID Journal Published Year Pages File Type
4619425 Journal of Mathematical Analysis and Applications 2010 9 Pages PDF
Abstract

In this paper, we discuss sampling and reconstruction of signals in the weighted reproducing kernel space associated with an idempotent integral operator. We show that any signal in that space can be stably reconstructed from its weighted samples taken on a relatively-separated set with sufficiently small gap. We also develop an iterative reconstruction algorithm for the reconstruction of a signal from its weighted samples taken on a relatively-separated set with sufficiently small gap.

Related Topics
Physical Sciences and Engineering Mathematics Analysis