General Methods for the Derivation of Sampling Theorems

A. H. Haddad; J. B. Thomas; K. Yao

doi:10.1109/TIT.1967.1053976

General Methods for the Derivation of Sampling Theorems

A. H. Haddad, J. B. Thomas, K. Yao

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

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)
Pages (from-to)	227-230
Number of pages	4
Journal	IEEE Transactions on Information Theory
Volume	13
Issue number	2
DOIs	https://doi.org/10.1109/TIT.1967.1053976
State	Published - Jan 1 1967

ASJC Scopus subject areas

Information Systems
Computer Science Applications
Library and Information Sciences

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AB - 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.

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