Journal: Volume 22, No. 1, 2017
Pages: 45 – 49
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Polynomial algorithms for measurement of the amplitude of a harmonic signal with fluctuated frequency and coherent detection at skewness-kurtosis interference

Oleksandr Havrysh, Olena Burdukova, К. Ivashchenko, М. Bezpalyi

Abstract

The important task while remote probing is to measure amplitude of a harmonic signal. Herewith frequency of the signal might randomly change (fluctuate) within the specification limits of rated frequency. Desired signal may be received in admixture with additive noise with non-Gaussian distribution. The purpose of the work is to synthesize polynomial estimation algorithms of amplitude of a harmonic signal with fluctuated frequency, which are optimal in a skewness-kurtosis noise results. Computational algorithms for amplitude measurement are proceed through to polynomial maximization method. Non-Gaussian interference is described by the finite sequence of cumulants with a priory known quantity. In this article mathematical model, which consider both Gaussian fluctuated frequency and nonGaussian coherent detection additive interference properties are offered. Both linear and quadratic amplitude of a harmonic signal with fluctuated frequency measurement algorithms are synthesized. It is shown, that the difference between the algorithms goes in the fact, that the higher polynomial processing degree gives more complete consideration of non-Gaussian properties of the additive interference. Obtained results allow us to construct more accurate measuring set for amplitude of a harmonic signal, which considers fluctuated frequency

Keywords

amplitude, frequency fluctuation, harmonic signal, coherent detection, nonGaussian interference, skewness-kurtosis interference, parameter estimation, polynomial maximization method, dispersion, coefficient of skewness-kurtosis

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Suggested citation

Havrysh, O., Burdukova, О., Ivashchenko, К., & Bezpalyi, M. (2017). Polynomial algorithms for measurement of the amplitude of a harmonic signal with fluctuated frequency and coherent detection at skewness-kurtosis interference. Bulletin of Cherkasy State Technological University, 22(1), 45-49.