Prolate Spheroidal Wave Functions, Fourier Analysis, and Uncertainty-V: The Discrete Case
- 6 May 1978
- journal article
- website
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Bell System Technical Journal
- Vol. 57 (5) , 1371-1430
- https://doi.org/10.1002/j.1538-7305.1978.tb02104.x
Abstract
A discrete time series has associated with it an amplitude spectrum which is a periodic function of frequency. This paper investigates the extent to which a time series can be concentrated on a finite index set and also have its spectrum concentrated...This publication has 12 references indexed in Scilit:
- Doubly Orthogonal Concentrated PolynomialsSIAM Journal on Mathematical Analysis, 1977
- On bandwidthProceedings of the IEEE, 1976
- Comments on "FIR digital filter design techniques using weighted Chebyshev approximation"Proceedings of the IEEE, 1975
- Degrees of freedom of images from point-like-element pupilsJournal of the Optical Society of America, 1974
- An optimal discrete window for the calculation of power spectraIEEE Transactions on Audio and Electroacoustics, 1973
- The Strong Szego Limit Theorem for Circular ArcsIndiana University Mathematics Journal, 1971
- Designing digital low-pass filters--Comparison of some methods and criteriaIEEE Transactions on Audio and Electroacoustics, 1970
- A Numerical Method for Determining the Eigenvalues and Eigenfunctions of Analytic KernelsSIAM Journal on Numerical Analysis, 1968
- Some Asymptotic Expansions for Prolate Spheroidal Wave FunctionsJournal of Mathematics and Physics, 1965
- Essentially band-limited stochastic processes (Corresp.)IEEE Transactions on Information Theory, 1965