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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 33, Iss. 3 — Feb. 1, 2008
  • pp: 228–230

Cases where the linear canonical transform of a signal has compact support or is band-limited

John J. Healy and John T. Sheridan  »View Author Affiliations


Optics Letters, Vol. 33, Issue 3, pp. 228-230 (2008)
http://dx.doi.org/10.1364/OL.33.000228


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Abstract

A signal may have compact support, be band-limited (i.e., its Fourier transform has compact support), or neither (“unbounded”). We determine conditions for the linear canonical transform of a signal having these properties. We examine the significance of these conditions for special cases of the linear canonical transform and consider the physical significance of our results.

© 2008 Optical Society of America

OCIS Codes
(070.2590) Fourier optics and signal processing : ABCD transforms
(110.1220) Imaging systems : Apertures
(200.1130) Optics in computing : Algebraic optical processing
(070.2465) Fourier optics and signal processing : Finite analogs of Fourier transforms

ToC Category:
Imaging Systems

History
Original Manuscript: August 14, 2007
Revised Manuscript: November 2, 2007
Manuscript Accepted: December 1, 2007
Published: January 25, 2008

Citation
John J. Healy and John T. Sheridan, "Cases where the linear canonical transform of a signal has compact support or is band-limited," Opt. Lett. 33, 228-230 (2008)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-33-3-228

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