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
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;
Conference_Titel :
Information Theory, 2000. Proceedings. IEEE International Symposium on
Conference_Location :
Sorrento
Print_ISBN :
0-7803-5857-0
DOI :
10.1109/ISIT.2000.866740
