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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

  • Vol. 15, Iss. 6 — Jun. 1, 1998
  • pp: 1557–1565

Generalized optimum receiver for pattern recognition with multiplicative, additive, and nonoverlapping background noise

N. Towghi, B. Javidi, and J. Li  »View Author Affiliations


JOSA A, Vol. 15, Issue 6, pp. 1557-1565 (1998)
http://dx.doi.org/10.1364/JOSAA.15.001557


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Abstract

We design an optimum receiver to detect a pattern or a reference signal. We design a receiver that detects the signal distorted by a multiplicative noise on the signal itself, as well as by additive noise and by nonoverlapping scene noise. We design the optimum receiver under the condition in which the statistics of the multiplicative and nonoverlapping scene noise are not available. In the case in which additive noise is present and the statistics of the multiplicative noise are not known, the usual method of maximizing the likelihood function to estimate the statistics of stationary noise fails. We overcome this problem by viewing the noise processes as vector random variables and describe two different schemes to estimate the statistics of the multiplicative noise. Using computer simulations we show that, for the images tested here, the optimum receiver performs better than some of the existing receivers.

© 1998 Optical Society of America

OCIS Codes
(030.4280) Coherence and statistical optics : Noise in imaging systems
(070.5010) Fourier optics and signal processing : Pattern recognition
(100.5010) Image processing : Pattern recognition
(110.4280) Imaging systems : Noise in imaging systems

Citation
N. Towghi, B. Javidi, and J. Li, "Generalized optimum receiver for pattern recognition with multiplicative, additive, and nonoverlapping background noise," J. Opt. Soc. Am. A 15, 1557-1565 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-6-1557


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References

  1. J. L. Turin, “An introduction to matched filters,” IRE Trans. Inf. Theory IT-6, 311–329 (1960).
  2. D. Casasent, “Unified synthetic function computation formulation,” Appl. Opt. 23, 1620–1627 (1984).
  3. D. Casasent and D. Psaltis, “Position, rotation, and scale invariant optical correlation,” Appl. Opt. 15, 1795–1799 (1976).
  4. J. L. Horner and P. D. Gianino, “Phase-only matched filtering,” Appl. Opt. 23, 812–816 (1984).
  5. H. J. Caufield and W. T. Maloney, “Improved discrimina-tion in optical character recognition,” Appl. Opt. 8, 2354–2356 (1969).
  6. D. L. Flannery and J. L. Horner, “Fourier optical signal processor,” Proc. IEEE 77, 1511–1527 (1989).
  7. B. Javidi and J. Wang, “Limitation of the classical definition of the correlation signal-to-noise ratio in optical pattern recognition with disjoint signal and scene noise,” Appl. Opt. 31, 6826–6829 (1992).
  8. B. Javidi, Ph. Réfrégier, and P. Willett, “Optimum receiver design for pattern recognition with nonoverlapping target and scene noise,” Opt. Lett. 18, 1660–1662 (1993).
  9. A. Fazlollahi, B. Javidi, and P. Willet, “Minimum-error-probability receiver for detecting a noisy target in colored background noise,” J. Opt. Soc. Am. A 14, 845–852 (1997).
  10. F. Goudail and Ph. Réfrégier, “Optimal detection of a target with random gray levels on a spatial disjoint background noise,” Opt. Lett. 21, 495–497 (1996).
  11. Ph. Réfrégier and F. Goudail, “Decision theory applied to nonlinear joint transform correlator, in Optoelectronic Information Processing, B. Javidi and Ph. Réfrégier, eds. (SPIE, Bellingham, Wash., 1997).

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