Title |
On the Cramer-Rao Bound for Estimating Parameters of Exponentially Decaying Function under Poisson Noise |
Authors |
석지영(Seok, Ji-Yeong) ; 김정태(Kim, Jeong-Tae) |
DOI |
https://doi.org/10.5370/KIEE.2012.62.1.101 |
Keywords |
Cramer-Rao bound ; Maximum-likelihood estimator ; Poisson noise |
Abstract |
We computed Cramer-Rao bound for estimating amplitude and decay parameters of exponentially decaying function under Poisson noise. Since Cramer-Rao bound is the lowest variance bound for any unbiased estimator, the computed Cramer-Rao bound can be used for evaluating the performance of estimators under Poisson noise. In addition, we show that the performance of maximum-likelihood estimator is close to the Cramer-Rao bound by simulations. |