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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • 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)

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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

Original Manuscript: October 6, 1997
Revised Manuscript: January 13, 1998
Manuscript Accepted: January 20, 1998
Published: June 1, 1998

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)

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