The estimation of measurement accuracy of scalar information parameter

of the signal in the background of additive non-Gaussian 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 4, 2017

 

Abstract. We considered the issues related to the estimation of measurement accuracy of the information parameters of the useful signal. These informational parameters carry the information about the motion of extended objects, along with the correlated additive non-Gaussian noise. Estimation of informative parameters was carried out in a discrete-time observation model, and only non-energy informative parameters were estimated. The lower limits of the Cramer-Rao inequality were used to determine quantitative estimates of measured parameters. To estimate the influence of non-Gaussian noise on the accuracy of the measurement we use the ratio of the variance of the measurement error in the presence of additive noise to the variance of the measurement error under the influence of Gaussian noise. It is shown that in the case of uncorrelated and correlated non-Gaussian noise, the increase of the correlation coefficient leads to the increase of the generalized «signal-to-noise» ratio which, in its turn, leads to improved accuracy of measurement of parameters. It is noted that the a posteriori variance of the informative parameter measurement affected by non-Gaussian noise is smaller than when the noise is correlated in nature. The dependences are obtained, showing that reduced error of information parameter measurement is affected not only by the magnitude of the generalized «signal-to-noise» ratio but also by accounting for non-Gaussian nature of the influencing additive noise, leading to a significant improvement in the accuracy of measurement of signal parameters. Engineering estimations of the informative signal parameters on the background of additive non-Gaussian noise, with both correlated and independent nature were found.

Key words: potential measurement accuracy, information parameters of the signal, additive uncorrelated non-Gaussian noise, additive correlated non-Gaussian noise.

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For citation:

V. M. Artyushenko, V. I. Volovach. The estimation of measurement accuracy of scalar information parameter of the signal in the background of additive non-Gaussian noise. Zhurnal Radioelektroniki - Journal of Radio Electronics, 2017, No. 3. Available at http://jre.cplire.ru/jre/mar17/9/text.pdf. (In Russian)