The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Prolate Spheroidal Wave Functions, Fourier Analysis, and Uncertainty-V: The Discrete Case
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 on a subinterval of the fundamental period of the spectrum. Key to the analysis are certain sequences, called discrete prolate spheroidal sequences, and certain functions of frequency called discrete prolate spheroidal functions. Their mathematical properties are investigated in great detail, and many applications to signal analysis are pointed out.
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Citations
Cites
Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
Slepian, D., & Pollak, H. O. (1961) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1961.tb03976.x · Cited by 2,492 · cited 2×
“We adopt the abbreviation E ( n i , n 2 ) S Ó I M 2 (2) η«ηι and refer to this quantity as the energy of the sequence \h„\ in the index range («1,^2) .”
MethodSelf-citationProlate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - II
Landau, H. J., & Pollak, H. O. (1961) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1961.tb03977.x · Cited by 839
Landau, H. J., & Pollak, H. O. (1962) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1962.tb03279.x · Cited by 839
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Brodski, A., Paasch, G.-F., Helbling, S., & Wibral, M. (2015) · Journal of Neuroscience · doi:10.1523/jneurosci.1529-14.2015 · Cited by 99
Neuroelectromagnetic correlates of perceptual closure processes
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Metadata
- Authors
- Slepian, D.
- Venue
- Bell System Technical Journal
- Published
- 1978-05-06
- Volume
- 57
- Issue
- 5
- Pages
- 1371-1430
- ISSN
- 0005-8580 (ISSN-L)
- OpenAlex
- W2167208435
- Cited by
- 1,741
- References
- 3
- FWCI
- 6.81
- Type
- journal article
- Language
- en
- Open access
- closed
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- Slepian, D. (1978). Prolate Spheroidal Wave Functions, Fourier Analysis, and Uncertainty-V: The Discrete Case. Bell System Technical Journal. https://doi.org/10.1002/j.1538-7305.1978.tb02104.x
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