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Mobile QR Code QR CODE : The Transactions of the Korean Institute of Electrical Engineers
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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
Page pp.101-104
ISSN 1975-8359
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.