This paper presents an integral representation for the derivation of sampling expansions. The representation uses the theory of self-adjoint differential equations. Different methods of evaluating the resulting triple integral have different physical significances and yield the commonly-used approaches to the derivation of sampling expansions. first- and second-order differential operators are discussed, and the physical interpretation of the first-order case is emphasized.
ASJC Scopus subject areas
- Information Systems
- Computer Science Applications
- Library and Information Sciences