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Most probable estimates of parameters of optical signals with allowance for shot and background noise
V.S. Sobolev1, Y.A. Poleshchuk1

1Institute of Automation and Electrometry of the Siberian Branch of the Russian Academy of Sciences, Novosibirsk

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Pages:98-106.

Full text of article: Russian language.

Abstract:
Based on the example of a Gaussian pulse, a likelihood equation is derived for optimal evaluation of the parameters of optical signals with allowance for shot and background noise. The Fisher information matrix and the Cramer-Rao boundaries were developed as characteristics of the quality of the estimates obtained. An algorithm for the numerical solution of the likelihood equation is proposed. By means of a model experiment, the possibility of its implementation is shown, and the quality parameters of the resulting estimates are determined.

Keywords:
Optical Signal, Shot Noise, Background Noise, Gaussian pulse, Fisher information matrix, Cramer-Rao boundaries..

Citation:
Sobolev VS, Poleshchuk YA. Most Probable Estimates of Parameters of Optical Signals with Allowance for Shot and Background Noise. Computer Optics 2006; 30: 98-106.

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