Improved fast fractional-Fourier-transform algorithm
JOSA A, Vol. 21, Issue 9, pp. 1677-1681 (2004)
http://dx.doi.org/10.1364/JOSAA.21.001677
Acrobat PDF (179 KB)
Abstract
Through the optimization of the main interval of the fractional order, an improved fast algorithm for numerical calculation of the fractional Fourier transforms is proposed. With this improved algorithm, the fractional Fourier transforms of a rectangular function and a Gaussian function are calculated. Its calculation errors are compared with those calculated with the previously published algorithm, and the results show that the calculation accuracy of the improved algorithm is much higher.
© 2004 Optical Society of America
OCIS Codes
(070.2590) Fourier optics and signal processing : ABCD transforms
(350.6980) Other areas of optics : Transforms
Citation
Xingpeng Yang, Qiaofeng Tan, Xiaofeng Wei, Yong Xiang, Yingbai Yan, and Guofan Jin, "Improved fast fractional-Fourier-transform algorithm," J. Opt. Soc. Am. A 21, 1677-1681 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-9-1677
You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
Related Journal Articles 
- Wigner functions for Helmholtz wave fields (JOSAA)
- Phase-space distributions for high-frequency fields (JOSAA)
- Fast algorithm for chirp transforms with zooming-in ability and its applications (JOSAA)
- Wigner function for highly convergent three-dimensional wave fields (OL)
- Sampling in the light of Wigner distribution (JOSAA)
Related Conference Papers
- Phase Recovery and the Ambiguity Function
- Programmable Spectral Design Using the Binary Supergrating (BSG)
- Analogy between Chirped AWGs and FBGs for Second and Higher Order Dispersion Compensation
- Effects of storing defocused Fourier plane holograms in three-dimensional holographic disk memories
- Swept Source Fourier Domain Optical Coherence Tomography
« Previous Article | Next Article »
OSA is a member of 