Title
On Stability Of Linear Estimators In Poisson Noise
Abstract
This paper considers estimation of a random variable in Poisson noise. Specifically, the main focus is to assess optimality and near optimality conditions for linear estimators.In the first part of the paper, it is shown that linear estimators are optimal if and only if the underlying prior is a gamma distribution and the dark current parameter is zero.In the second part of the paper, a stability analysis of linear estimators is undertaken. Specifically, it is shown that if an optimal estimator is close to a linear estimator in an L-p; p >= 1 distance, then the underlying prior distribution is approximately gamma in the Levy metric and the Kolmogorov metric.
Year
DOI
Venue
2019
10.1109/IEEECONF44664.2019.9048782
CONFERENCE RECORD OF THE 2019 FIFTY-THIRD ASILOMAR CONFERENCE ON SIGNALS, SYSTEMS & COMPUTERS
DocType
ISSN
Citations 
Conference
1058-6393
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Alex Dytso14520.03
H. V. Poor2254111951.66