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Estimation of the measurement accuracy of the scalar information parameter of signal along with the multiplicative noise


V. M. Artyushenko1, V. I. Volovach2

1Technological University, 42, Gagarin Street, Korolev, 141070, Russia

2Volga Region State University of Service, 4, Gagarin Street, Togliatti, 445017, Russia


 The paper is received on March 1, 2016


Abstract. In the article the estimation of error of measurement scalar information parameter of the useful signal along with the non-Gaussian multiplicative noise is considered. To estimate the information parameters of the signal we use the method of maximum a posteriori probability density and lower bounds of Rao-Cramer inequality. It is shown that in general case the impact of multiplicative noise on the useful signal leads to shift of estimates of measured parameters. It is shown that with known distribution parameters of the multiplicative noise we can determine the shift value and get to an unbiased estimate. It is shown that the accuracy of the measurement of motion parameters increases with the difference of the density of the probability distribution of the estimated parameter and influence of multiplicative noise of Gaussian noise.

Key words: radar meter, multiplicative non-Gaussian noise, displacement estimates, signal/interference ratio, measurement error.



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