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Poisson 잡음 하에서의 지수 감소 함수 인자 추정시의 Cramer-Rao bound

On the Cramer-Rao Bound for Estimating Parameters of Exponentially Decaying Function under Poisson Noise

  • 석지영 (이화여자대학교 전자공학과) ;
  • 김정태 (이화여자대학교 전자공학과)
  • Seok, Ji-Yeong (Dept. of Electronics Engineering, Ewha womans University) ;
  • Kim, Jeong-Tae (Dept. of Electronics Engineering, Ewha womans University)
  • 투고 : 2012.10.10
  • 심사 : 2012.12.04
  • 발행 : 2013.01.01

초록

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.

키워드

참고문헌

  1. S. L. Tantum and L. M. Collins, "A parameter transformation and Cramer-Rao bounds for estimating decay rates from exponential signals," in IGARSS '02. 2002 IEEE International, vol. 4, pp.2568-2571, (2002).
  2. J. R. Lakowicz, Principles of Fluorescence Spectroscopy (Kluwer Academic/Plenum Publishers, 1999), 2nd ed.
  3. A. U. Jibia, M-J. E. Salami, O. O. Khalifa and F.A.M. Elfaki, "Cramer-Rao Lower Bound for Parameter Estimation of Multiexponential Signals," in IWSSIP 2009, pp.1-5 (2009).
  4. A. Papoulis, Probability, Random variables, and Stochastic Processes (McGraw-Hill, Inc, 2002), 4th ed.
  5. P. Hall, and B. Selinger, "Better estimates of exponential decay parameters", J. Phys. Chem. vol. 85, No. 20, pp.2941-2946 (1981). https://doi.org/10.1021/j150620a019
  6. H. Van Trees, Detection, Estimation, and Modulation Theory, no. v. in Detection, Estimation, and Modulation Theory (John Wiley & Sons, 2001).