On minimal alpha-mean parameter transmission over a Poisson channel

We consider the problem of one-dimensional parameter transmission over a Poisson channel when the input signal (intensity) obeys a peak energy constraint. We show that it is possible to choose input signals and an estimator in such a way that the mean-square error of parameter transmission will decr...

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Veröffentlicht in:IEEE transactions on information theory 2001-09, Vol.47 (6), p.2505
Hauptverfasser: Burnashev, Marat V, Kutoyants, Yury A
Format: Artikel
Sprache:eng
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Zusammenfassung:We consider the problem of one-dimensional parameter transmission over a Poisson channel when the input signal (intensity) obeys a peak energy constraint. We show that it is possible to choose input signals and an estimator in such a way that the mean-square error of parameter transmission will decrease exponentially with transmission time T --> inf and we find the best possible exponent.
ISSN:0018-9448
1557-9654