• DocumentCode
    2392261
  • Title

    On minimal α-mean error parameter transmission over Poisson channel

  • Author

    Burnashev, Marat V. ; Kutoyants, Yury A.

  • Author_Institution
    Inst. of Problems of Inf. Transmission, Acad. of Sci., Moscow, Russia
  • fYear
    2000
  • fDate
    2000
  • Firstpage
    442
  • Abstract
    We consider the problem of one-dimensional parameter transmission over the Poisson channel when the input signal (intensity) obeys a peak energy constraint. We show that it is possible to choose the input signals and estimator in such a way that the mean-square error (or, more generally, α-mean error for loss function |x|α) of the parameter transmission will decrease exponentially with transmission time T→∞, and we find the best possible exponent, if α⩾α0=(1+√5)/2≈1.618
  • Keywords
    mean square error methods; parameter estimation; stochastic processes; telecommunication channels; 1D parameter transmission; Poisson channel; estimator; input signal intensity; input signals; loss function; mean-square error; minimal α-mean error parameter transmission; parameter transmission; peak energy constraint; transmission time; white Gaussian noise channel; Gaussian noise; Statistics; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 2000. Proceedings. IEEE International Symposium on
  • Conference_Location
    Sorrento
  • Print_ISBN
    0-7803-5857-0
  • Type

    conf

  • DOI
    10.1109/ISIT.2000.866740
  • Filename
    866740
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2392261