Abstract
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 questions about timelimited and bandlimited signals. In particular, if a finite-energy signal is given, the possible proportions of its energy in a finite time interval and a finite frequency band are found, as well as the signals which do the best job of simultaneous time and frequency concentration.
Keywords
BandlimitingProlate spheroidEnergy (signal processing)Interval (graph theory)SIGNAL (programming language)Fourier transformAlgorithmFinite setMathematicsMathematical analysisApplied mathematicsPhysicsAcousticsComputational physicsComputer scienceCombinatoricsStatistics
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Publication Info
- Year
- 1961
- Type
- article
- Volume
- 40
- Issue
- 1
- Pages
- 65-84
- Citations
- 790
- Access
- Closed
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Cite This
H. J. Landau,
H. O. Pollak
(1961).
Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - II.
Bell System Technical Journal
, 40
(1)
, 65-84.
https://doi.org/10.1002/j.1538-7305.1961.tb03977.x
Identifiers
- DOI
- 10.1002/j.1538-7305.1961.tb03977.x