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Robust estimation of Gaussian-noise variance in the presence of pulsed interference

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Abstract

A robust estimator of the mean power of a Gaussian noise signal in the presence of pulsed interference is proposed for remote sensing. The technique is based on the following rationale: under certain conditions, the histogram of a signal contaminated by pulsed interference is close to a normal distribution in a certain range of snapshot values, i.e., the histogram is an estimate almost insensitive to contaminating pulsed interference. Correspondingly, we propose a modified minimum χ2 method, which is called the method of robust approximation, for estimating the mean power of the “useful” Gaussian component. It is shown that the proposed estimate yields a higher accuracy compared with, e.g., median estimates and is close to the Cramér-Rao lower bound. The results of experimental testing of the technique using hydroacoustic data are presented.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 48, No. 1, pp. 76–85, January 2005.

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Rodionov, A.A., Turchin, V.I. Robust estimation of Gaussian-noise variance in the presence of pulsed interference. Radiophys Quantum Electron 48, 68–76 (2005). https://doi.org/10.1007/s11141-005-0049-y

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  • DOI: https://doi.org/10.1007/s11141-005-0049-y

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