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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 23, Iss. 7 — Apr. 1, 1984
  • pp: 1060–1065

Variable threshold discrimination in a photon-imaging detector

Thomas Gonsiorowski  »View Author Affiliations


Applied Optics, Vol. 23, Issue 7, pp. 1060-1065 (1984)
http://dx.doi.org/10.1364/AO.23.001060


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Abstract

The photon statistics of a particular photon-imaging detector are studied, and the conditional probability of photon counts in the output given a certain number of counts in an associated reference channel is derived. This result is applied in a variable level discrimination technique which significantly reduces detection errors approaching the ideal limit. These results can be applied to other photon-limited detectors with nonideal pulse height distributions.

© 1984 Optical Society of America

History
Original Manuscript: December 19, 1983
Published: April 1, 1984

Citation
Thomas Gonsiorowski, "Variable threshold discrimination in a photon-imaging detector," Appl. Opt. 23, 1060-1065 (1984)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-23-7-1060


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References

  1. C. Papaliolios, L. Mertz, Proc. Soc. Photo-Opt. Instrum. Eng. 331, 360 (1982).
  2. C. Papaliolios, personal communication.
  3. A. Papoulis, Probability, Random Variables, and Stochastic Processes (McGraw-Hill, New York, 1965), pp. 38 and 39.
  4. M. Abramowitz, I. A. Stegun, Eds., Handbook of Mathematical Functions (Dover, New York, 1965), p. 504.
  5. Ref. 4, p. 505, Eq. (13.1.27).
  6. Ref. 4, p. 504, Eq. (13.1.4).
  7. Ref. 4, p. 556.
  8. Ref. 4, p. 559, Eq. (15.3.3).
  9. Ref. 4, p. 556, Eq. (15.1.20).

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