Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty-III: The Dimension of the Space of Essentially Time- and Band-Limited Signals
- 29 July 1962
- journal article
- website
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Bell System Technical Journal
- Vol. 41 (4) , 1295-1336
- https://doi.org/10.1002/j.1538-7305.1962.tb03279.x
Abstract
The purpose of this paper is to examine the mathematical truth in the engineering intuition that there are approximately 2WT independent signals i of bandwidth W concentrated in an interval of length T. Roughly speaking, the result...This publication has 4 references indexed in Scilit:
- Energy distribution of band-limited functions whose samples on a half line vanishJournal of Mathematical Analysis and Applications, 1961
- Inversion of Toeplitz matrices IIIllinois Journal of Mathematics, 1960
- Theorie und Anwendung der Unendlichen ReihenPublished by Springer Nature ,1947
- Uber Die Beste Annaherung Von Funktionen Einer Gegebenen FunktionenklasseAnnals of Mathematics, 1936