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 AmericaFull Article | PDF Article
Robert W. Cohn, Anatoly A. Vasiliev, Wenyao Liu, and David L. Hill
J. Opt. Soc. Am. A 14(5) 1110-1123 (1997)
Bahram Javidi, Nasser Towghi, Nabíl Maghzi, and Steven C. Verrall
Appl. Opt. 39(23) 4117-4130 (2000)
Ran Tao, Yi Xin, and Yue Wang
Opt. Express 15(24) 16067-16079 (2007)