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Optics Letters

Optics Letters


  • 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)

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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

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

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)

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  1. H. Baher, Analog & Digital Signal Processing (Wiley, 1990), p. 121.
  2. A. Papoulis, The Fourier Integral and its Applications (McGraw-Hill, 1962), p. 215.
  3. R. E. A. C. Paley and N. Wiener, Fourier Transforms in the Complex Domain (American Mathematical Society, 1934), p. 12.
  4. D. P. Kelly, B. M. Hennelly, W. T. Rhodes, and J. T. Sheridan, Opt. Eng. 45, 088201 (2006). [CrossRef]
  5. B. M. Hennelly and J. T. Sheridan, J. Opt. Soc. Am. A 22, 917 (2005). [CrossRef]
  6. M. J. Bastiaans and K. B. Wolf, in Seventh International Symposium on Signal Processing and Its Applications (IEEE, 2003), Vol. 1, pp. 589-592. [CrossRef]
  7. B. Barshan, M. Alper Kutay, and H. M. Ozaktas, Opt. Commun. 135, 32 (1997). [CrossRef]
  8. S.-C. Pei and J.-J. Ding, J. Opt. Soc. Am. A 17, 2355 (2000). [CrossRef]
  9. K. K. Sharma and S. D. Joshi, Opt. Commun. 265, 454 (2006). [CrossRef]
  10. A. Stern, Signal Processing 86, 1421 (2006). [CrossRef]

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