The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
A new algorithm in spectral analysis and band-limited extrapolation
Abstract
If only a segment of a functionf (t)is given, then its Fourier spectrumF(\omega)is estimated either as the transform of the product off(t)with a time-limited windoww(t), or by certain techniques based on various a priori assumptions. In the following, a new algorithm is proposed for computing the transform of a band-limited function. The algorithm is a simple iteration involving only the fast Fourier transform (FFT). The effect of noise and the error due to aliasing are determined and it is shown that they can be controlled by early termination of the iteration. The proposed method can also be used to extrapolate bandlimited functions.
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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 by
Uncertainty Principles and Signal Recovery
Donoho, D. L., & Stark, P. B. (1989) · SIAM Journal on Applied Mathematics · doi:10.1137/0149053 · Cited by 1,054
Metadata
- Authors
- Papoulis, A.
- Venue
- IEEE Transactions on Circuits and Systems
- Published
- 1975-09
- Volume
- 22
- Issue
- 9
- Pages
- 735-742
- ISSN
- 0098-4094 (ISSN-L)
- OpenAlex
- W2108943734
- Cited by
- 1,063
- References
- 1
- FWCI
- 1.81
- Type
- journal article
- Language
- en
- Open access
- closed
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- Papoulis, A. (1975). A new algorithm in spectral analysis and band-limited extrapolation. IEEE Transactions on Circuits and Systems. https://doi.org/10.1109/tcs.1975.1084118
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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