Continuous vs. discrete fractional Fourier transforms
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Many other definitions of the discrete fractional Fourier transform exist, but they have several theoretical disadvantages; for example, the fast approximate fractional Fourier transform is not a unitary operator like the discrete transform defined in the paper.
“Many other definitions of the discrete fractional Fourier transform do exist [2,21,22,5], but they have several theoretical disadvantages. For example the fast approximate fractional Fourier transform that we have discussed before is not a unitary operator like the discrete transform as defined above is.”
From Computation of the fractional Fourier transform (2004) · cites this paper as [2]
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- Authors
- Atakishiyev, N. M., Vicent, L. E., & Wolf, K. B.
- Affiliations
- Universidad Nacional Autónoma de México (MX)
- Universidad Autónoma del Estado de Morelos (MX)
- Corresponding author
- Wolf, Kurt Bernardo
- Venue
- Journal of Computational and Applied Mathematics
- Publisher
- Elsevier BV
- Published
- 1999-07
- Volume
- 107
- Issue
- 1
- Pages
- 73-95
- ISSN
- 0377-0427 (ISSN-L)
- OpenAlex
- W1492258189
- Cited by
- 71
- References
- 25
- Citations by year
- 2026: 1 · 2024: 1 · 2023: 1 · 2022: 4 · 2021: 3 · 2019: 3 · 2018: 2 · 2017: 3 · 2016: 3 · 2015: 1 · 2014: 3 · 2013: 3 · 2012: 7
- FWCI
- 3.98
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Journal of Computational and Applied Mathematics (publishedVersion)
- Funders
- Dirección General de Asuntos del Personal Académico, Universidad Nacional Autónoma de México
- Topics
- Physical Sciences › Mathematics › Applied Mathematics › Mathematical Analysis and Transform Methods
- Physical Sciences › Mathematics › Applied Mathematics › Mathematical functions and polynomials
- Physical Sciences › Mathematics › Modeling and Simulation › Fractional Differential Equations Solutions
- Keywords
- fractional Fourier transform, finite Fourier transform, coherent states, optical model
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