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Applied Optics

Applied Optics


  • Vol. 37, Iss. 8 — Mar. 10, 1998
  • pp: 1283–1291

Nonlinear Filtering for Recognition of Phase-Encoded Images

Bahram Javidi, Wenlu Wang, Guanshen Zhang, and Jian Li  »View Author Affiliations

Applied Optics, Vol. 37, Issue 8, pp. 1283-1291 (1998)

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We investigate the use of Fourier plane nonlinear filtering for phase-encoded images. We investigate the performance of the nonlinear joint transform correlator and the nonlinearly transformed matched filter for phase-encoded images with different types of input noise. We use the peak-to-output-energy ratio, peak-to-sidelobe ratio, and discrimination ratio as the metrics for measuring the performances. We mathematically analyze the peak-to-output-energy ratio of the nonlinearly transformed matched filter for phase-encoded images with spatially nonoverlapping white noise. Computer simulations are provided to show the performance improvements of the nonlinear filtering techniques for the phase-encoded images. In comparison with linear filtering techniques, we find that the nonlinear filtering techniques substantially improve the performance metrics. From the computer-simulation results it can be seen that the nonlinear joint transform correlator performs better than the nonlinearly transformed matched filter in detecting phase-encoded targets in the presence of different types of noise, such as additive overlapping white noise, spatially nonoverlapping white background noise, spatially nonoverlapping colored background noise, and nontarget objects.

© 1998 Optical Society of America

Bahram Javidi, Wenlu Wang, Guanshen Zhang, and Jian Li, "Nonlinear Filtering for Recognition of Phase-Encoded Images," Appl. Opt. 37, 1283-1291 (1998)

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