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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

  • Editor: Franco Gori
  • Vol. 30, Iss. 4 — Apr. 1, 2013
  • pp: 645–655

Beyond Nyquist sampling: a cost-based approach

Ayça Özçelikkale and Haldun M. Ozaktas  »View Author Affiliations


JOSA A, Vol. 30, Issue 4, pp. 645-655 (2013)
http://dx.doi.org/10.1364/JOSAA.30.000645


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Abstract

A sampling-based framework for finding the optimal representation of a finite energy optical field using a finite number of bits is presented. For a given bit budget, we determine the optimum number and spacing of the samples in order to represent the field with as low error as possible. We present the associated performance bounds as trade-off curves between the error and the cost budget. In contrast to common practice, which often treats sampling and quantization separately, we explicitly focus on the interplay between limited spatial resolution and limited amplitude accuracy, such as whether it is better to take more samples with lower amplitude accuracy or fewer samples with higher accuracy. We illustrate that in certain cases sampling at rates different from the Nyquist rate is more efficient.

© 2013 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: August 1, 2012
Manuscript Accepted: January 28, 2013
Published: March 21, 2013

Citation
Ayça Özçelikkale and Haldun M. Ozaktas, "Beyond Nyquist sampling: a cost-based approach," J. Opt. Soc. Am. A 30, 645-655 (2013)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-4-645


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