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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 21, Iss. 9 — Sep. 1, 2004
  • pp: 1677–1681

Improved fast fractional-Fourier-transform algorithm

Xingpeng Yang, Qiaofeng Tan, Xiaofeng Wei, Yong Xiang, Yingbai Yan, and Guofan Jin  »View Author Affiliations


JOSA A, Vol. 21, Issue 9, pp. 1677-1681 (2004)
http://dx.doi.org/10.1364/JOSAA.21.001677


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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

History
Original Manuscript: November 20, 2003
Revised Manuscript: March 15, 2004
Manuscript Accepted: March 15, 2004
Published: September 1, 2004

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

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