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Noise Analysis in Optical Fibre Sensing: A Study using the Maximum Entropy Method

  • L. Stergioulas
  • A. Vourdas
  • G. R. Jones
Conference paper
Part of the Fundamental Theories of Physics book series (FTPH, volume 70)

Abstract

The maximum entropy method is used for the reduction of noise in images at the output of an optical fibre. Assuming that the useful information is in the lowest moments and that the higher moments are influenced by noise, we construct “clean” images that have the same lower moments as the original ones and maximum entropy. Prom a mathematical point of view, we study the moment problem with the maximum entropy method for the case of a discrete variable that takes a finite number of values.

Keywords

Optical Fibre Maximum Entropy Speckle Pattern Local Extremum Moment Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    Cosgrave, J.A., Vourdas, A., Spencer, J.W., Jones,G.R., Murphy, M.M., Wilson, A., “Acousticmonitoring of partial discharges in gas insulated substations using optical sensors”, IEE Proc, vol. A140 (1993), pp. 369–374.Google Scholar
  2. [2]
    Jaynes, E.T., “On the rational of maximum-entropy methods”, Proceedings of the IEEE, vol. 70 (1982), pp. 939–952.CrossRefGoogle Scholar
  3. [3]
    Bryan, R.K., Skilling, J., “Maximum entropy image reconstruction from phaseless Fourier data”, Optica Acta, vol. 33 (1986), pp. 287–299.Google Scholar
  4. [4]
    Gull, S.F., Danieli, G.J., “Image reconstruction from incomplete and noisy data”, Nature, Londs, vol. 272 (1978), pp. 686–690.CrossRefGoogle Scholar
  5. [5]
    Livesey, A.K., Skilling J., “Maximum entropy theory”, Acta Cryst, vol. A41 (1985), pp. 113–122.Google Scholar
  6. [6]
    Mead, L.R., Papanicolaou, N., “Maximum entropy in the problem of moments”, J. Math. Phys, vol. 25(1984), pp. 2404 –2417.MathSciNetCrossRefGoogle Scholar
  7. [7]
    Dowson, D.C., Wragg, A., “Maximum entropy distributions having prescribed first and second moments”, IEEE Trans. I.T, vol. 19 (1973), pp. 689–693.MathSciNetzbMATHCrossRefGoogle Scholar
  8. [8]
    Ciulli, S., Mounsif, M., Gorman, N., Spearman, T.D., “On the application of maximum entropy to the moments problem”, J. Math. Phys, vol. 32 (1991), pp. 1717–1719.MathSciNetzbMATHCrossRefGoogle Scholar
  9. [9]
    Smith, R., Ahmed, S.,Vourdas, A., Spencer, J.W., Russell, R, Jones, G.R., “Chromatic modulation for optical fibre sensing — Electromagnetic and speckle noise analysis”, Journal of Modern Optics, vol. 39 (1992), pp. 2301–2314.CrossRefGoogle Scholar

Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • L. Stergioulas
    • 1
  • A. Vourdas
    • 1
  • G. R. Jones
    • 1
  1. 1.Department of Electrical Engineering and ElectronicsThe University of LiverpoolLiverpoolUK

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