Abstract
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.
Original language | English (US) |
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Pages (from-to) | 227-230 |
Number of pages | 4 |
Journal | IEEE Transactions on Information Theory |
Volume | 13 |
Issue number | 2 |
DOIs | |
State | Published - Apr 1967 |
ASJC Scopus subject areas
- Information Systems
- Computer Science Applications
- Library and Information Sciences