Abstract
It is easy to argue that real signals must be bandlimited. It is also easy to argue that they cannot be so. This paper presents one possible resolution of this seeming paradox. A philosophical discussion of the role of mathematical models in the exact sciences is given and a new formulation of the 2 WT theorem is presented. The paper is a written version of the second Shannon Lecture given at the 1974 International Symposium on Information Theory. An appendix giving proof of the 2 WT theorem has been added.
Keywords
BandlimitingResolution (logic)Calculus (dental)Mathematical economicsComputer scienceMathematicsAlgebra over a fieldApplied mathematicsPure mathematicsArtificial intelligenceMathematical analysisFourier transform
Affiliated Institutions
Related Publications
Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - II
The theory developed in the preceding paper <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sup> is applied to a number of ques...
Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
A complete set of bandlimited functions is described which possesses the curious property of being orthogonal over a given finite interval as well as over (− ∞, ∞). Properties o...
Sampling signals with finite rate of innovation
Consider classes of signals that have a finite number of degrees of freedom per unit of time and call this number the rate of innovation. Examples of signals with a finite rate ...
Efficient Modulation for Band-Limited Channels
This paper attempts to present a comprehensive tutorial survey of the development of efficient modulation techniques for bandlimited channels, such as telephone channels. After ...
A new least-squares refinement technique based on the fast Fourier transform algorithm
A new atomic-parameters least-squares refinement method is presented which makes use of the fast Fourier transform algorithm at all stages of the computation. For large structur...
Publication Info
- Year
- 1976
- Type
- article
- Volume
- 64
- Issue
- 3
- Pages
- 292-300
- Citations
- 405
- Access
- Closed
External Links
Social Impact
Altmetric
PlumX Metrics
Social media, news, blog, policy document mentions
Citation Metrics
405
OpenAlex
Cite This
D. Slepian
(1976).
On bandwidth.
Proceedings of the IEEE
, 64
(3)
, 292-300.
https://doi.org/10.1109/proc.1976.10110
Identifiers
- DOI
- 10.1109/proc.1976.10110