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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. 15, Iss. 6 — Jun. 1, 1998
  • pp: 1647–1657

Synthesis of general linear systems with repeated filtering in consecutive fractional Fourier domains

M. Fatih Erden and Haldun M. Ozaktas  »View Author Affiliations


JOSA A, Vol. 15, Issue 6, pp. 1647-1657 (1998)
http://dx.doi.org/10.1364/JOSAA.15.001647


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Abstract

The optical and digital implementations of general linear systems are costly. Through several examples we show that either exact realizations or useful approximations of these systems may be implemented in the form of repeated-filtering operations in consecutive fractional Fourier domains. These implementations are much cheaper than direct implementations of general linear systems. Thus we may significantly decrease the implementation costs of general linear systems with little or no decrease in performance by synthesizing them with the proposed repeated-filtering method.

© 1998 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics

History
Original Manuscript: September 4, 1997
Revised Manuscript: January 22, 1998
Manuscript Accepted: January 23, 1998
Published: June 1, 1998

Citation
M. Fatih Erden and Haldun M. Ozaktas, "Synthesis of general linear systems with repeated filtering in consecutive fractional Fourier domains," J. Opt. Soc. Am. A 15, 1647-1657 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-6-1647

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