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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 66, Iss. 11 — Nov. 1, 1976
  • pp: 1160–1163

Properties of speckle integrated with a finite aperture and logarithmically transformed

H. H. Arsenault and G. April  »View Author Affiliations


JOSA, Vol. 66, Issue 11, pp. 1160-1163 (1976)
http://dx.doi.org/10.1364/JOSA.66.001160


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Abstract

When image plane speckle intensity integrated over a finite aperture is submitted to a logarithmic transformation, the noise becomes additive and signal independent. The first- and second-order moments of the probability distribution are derived. It is found that the logarithm of speckle noise approaches a normal distribution much faster than speckle intensity. The properties of speckle noise are different from those of filmgrain noise; for example, neither Nutting’s law nor Selwyn’s law is satisfied by speckle.

© 1976 Optical Society of America

Citation
H. H. Arsenault and G. April, "Properties of speckle integrated with a finite aperture and logarithmically transformed," J. Opt. Soc. Am. 66, 1160-1163 (1976)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-66-11-1160


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References

  1. H. H. Arsenault and N. Brousseau, "Digital Image Processing and Preprocessing," J. Opt. Soc. Am. 65, 1203 (1975).
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  11. Reference (10), p. 258.
  12. H. J. Gerritsen, W. J. Hannan, and E. G. Ramberg, "Elimination of speckle noise in holograms with redundancy," Appl. Opt. 7, 2301 (1968).
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  14. H. H. Arsenault and G. April, "Speckle removal by optical and digital processing," J. Opt. Soc. Am. 66, 177 (1976).

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