Abstract
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 of the functions are derived and several applications to the representation of signals are made.
Keywords
BandlimitingProlate spheroidFourier transformRepresentation (politics)Property (philosophy)MathematicsInterval (graph theory)Set (abstract data type)Mathematical analysisOrthogonal functionsFourier seriesComputer scienceCombinatorics
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Publication Info
- Year
- 1961
- Type
- article
- Volume
- 40
- Issue
- 1
- Pages
- 43-63
- Citations
- 2449
- Access
- Closed
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Cite This
D. Slepian,
H. O. Pollak
(1961).
Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I.
Bell System Technical Journal
, 40
(1)
, 43-63.
https://doi.org/10.1002/j.1538-7305.1961.tb03976.x
Identifiers
- DOI
- 10.1002/j.1538-7305.1961.tb03976.x