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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 73, Iss. 12 — Dec. 1, 1983
  • pp: 1840–1843

Probability of detecting a coherent optical signal in thermal noise

C. Bendjaballah and K. Hassan  »View Author Affiliations


JOSA, Vol. 73, Issue 12, pp. 1840-1843 (1983)
http://dx.doi.org/10.1364/JOSA.73.001840


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Abstract

Probabilities of detection of coherent optical signals in thermal background noise of a Lorentzian spectrum are calculated and compared for two cases: counting the number of photoelectrons within a fixed time T and measuring time intervals between photoelectrons within the same T. Although a comparison between the two methods is not always possible, it is shown that in some cases the counting method leads to better performance.

© 1983 Optical Society of America

Citation
C. Bendjaballah and K. Hassan, "Probability of detecting a coherent optical signal in thermal noise," J. Opt. Soc. Am. 73, 1840-1843 (1983)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-73-12-1840


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References

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  6. S. R. Laxpati and G. Lachs, "Closed-form solutions for the photocount statistics of superposed coherent and chaotic radiation," J. Appl. Phys. 43, 4773–4776 (1972).
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  8. C. W. Helstrom, "Performance of an ideal quantum receiver of a coherent signal of random phase," IEEE Trans. Aerospace Electron. Syst. AES-5, 562–564 (1969).
  9. F. Davidson and J. Amoss, "Sequential photon-counting statistics and maximum-likelihood estimation techniques for Gaussian optical field," J. Opt. Soc. Am. 63, 30–37 (1973).

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