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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 15, Iss. 10 — Oct. 1, 1998
  • pp: 2629–2638

Influence of a perturbation in a double phase-encoding system

François Goudail, Franck Bollaro, Bahram Javidi, and Philippe Réfrégier  »View Author Affiliations

JOSA A, Vol. 15, Issue 10, pp. 2629-2638 (1998)

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We consider the recently proposed double phase-encoding system [Opt. Lett. 20, 767 (1995)]. We study the robustness of the decoding process, that is, the way in which a perturbation of the coded image modifies the decoded image. We demonstrate that the amplitude signal-to-noise ratio (SNR) in the decoded image is strictly (and not only statistically) equal to the SNR in the coded image for different kinds of coded-image perturbations. In optical implementations the intensity of the decoded image is measured at the output of the decoding system. We show that there exists a simple relation between the intensity SNR of the decoded image and the amplitude SNR of the coded image and that this relation is quasi-independent of the nature of the coded-image perturbation. The results presented could provide a simple and efficient way of determining the precision level of the components of the optical decoding system necessary to reach a predefined quality level of the decoded image.

© 1998 Optical Society of America

OCIS Codes
(070.4550) Fourier optics and signal processing : Correlators
(070.4560) Fourier optics and signal processing : Data processing by optical means
(100.1160) Image processing : Analog optical image processing

Original Manuscript: December 18, 1997
Revised Manuscript: May 11, 1998
Manuscript Accepted: May 27, 1998
Published: October 1, 1998

François Goudail, Franck Bollaro, Bahram Javidi, and Philippe Réfrégier, "Influence of a perturbation in a double phase-encoding system," J. Opt. Soc. Am. A 15, 2629-2638 (1998)

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