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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 39, Iss. 23 — Aug. 10, 2000
  • pp: 4117–4130

Error-Reduction Techniques and Error Analysis for Fully Phase- and Amplitude-Based Encryption

Bahram Javidi, Nasser Towghi, Nabíl Maghzi, and Steven C. Verrall  »View Author Affiliations


Applied Optics, Vol. 39, Issue 23, pp. 4117-4130 (2000)
http://dx.doi.org/10.1364/AO.39.004117


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Abstract

The performance of fully phase- and amplitude-based encryption processors is analyzed. The effects of noise perturbations on the encrypted information are considered. A thresholding method of decryption that further reduces the mean-squared error (MSE) for the fully phase- and amplitude-based encryption processes is provided. The proposed thresholding scheme significantly improves the performance of fully phase- and amplitude-based encryption, as measured by the MSE metric. We obtain analytical MSE bounds when thresholding is used for both decryption methods, and we also present computer-simulation results. These results show that the fully phase-based method is more robust. We also give a formal proof of a conjecture about the decrypted distribution of distorted encrypted information. This allows the analytical bounds of the MSE to be extended to more general non-Gaussian, nonadditive, nonstationary distortions. Computer simulations support this extension.

© 2000 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(070.4560) Fourier optics and signal processing : Data processing by optical means
(100.0100) Image processing : Image processing
(110.3000) Imaging systems : Image quality assessment
(110.4280) Imaging systems : Noise in imaging systems

Citation
Bahram Javidi, Nasser Towghi, Nabíl Maghzi, and Steven C. Verrall, "Error-Reduction Techniques and Error Analysis for Fully Phase- and Amplitude-Based Encryption," Appl. Opt. 39, 4117-4130 (2000)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-39-23-4117

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