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Optics Letters

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  • Editor: Alan E. Willner
  • Vol. 37, Iss. 12 — Jun. 15, 2012
  • pp: 2193–2195

Representation of optical fields using finite numbers of bits

Ayça Özçelikkale and Haldun M. Ozaktas  »View Author Affiliations


Optics Letters, Vol. 37, Issue 12, pp. 2193-2195 (2012)
http://dx.doi.org/10.1364/OL.37.002193


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Abstract

We consider the problem of representation of a finite-energy optical field, with a finite number of bits. The optical field is represented with a finite number of uniformly spaced finite-accuracy samples (there is a finite number of amplitude levels that can be reliably distinguished for each sample). The total number of bits required to encode all samples constitutes the cost of the representation. We investigate the optimal number and spacing of these samples under a total cost budget. Our framework reveals the trade-off between the number, spacing, and accuracy of the samples. When we vary the cost budget, we obtain trade-off curves between the representation error and the cost budget. We also discuss the effect of degree of coherence of the field.

© 2012 Optical Society of America

OCIS Codes
(030.0030) Coherence and statistical optics : Coherence and statistical optics
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(100.3020) Image processing : Image reconstruction-restoration
(350.5730) Other areas of optics : Resolution
(070.2025) Fourier optics and signal processing : Discrete optical signal processing
(110.3055) Imaging systems : Information theoretical analysis

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: February 10, 2012
Revised Manuscript: March 20, 2012
Manuscript Accepted: April 2, 2012
Published: June 4, 2012

Citation
Ayça Özçelikkale and Haldun M. Ozaktas, "Representation of optical fields using finite numbers of bits," Opt. Lett. 37, 2193-2195 (2012)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-37-12-2193


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