Journal: Volume 22, No. 4, 2017
Pages: 144 – 149
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Analysis of potential characteristics of the quadrated algorithm of measurement of harmonic signal amplitude with fluctuated frequency in coherent detection

Yurii Lega, Oleksandr Havrysh, К. Ivashchenko, Olena Burdukova, Maria Bagrii

Abstract

In the paper, an analysis of the exact characteristics of linear and quadratic algorithms for measuring the amplitude of a harmonic signal with a fluctuating frequency with coherent reception, under the influence of an asymmetric and high-frequency noise is carried out. The analytical expressions for the amount of information obtained and the variance of the estimation of the amplitude under the polynomial degree s=1 and 2 are obtained. It is shown that with the growth of the polynomial degree, the exact characteristics of the polynomial algorithms can increase with the asymmetric distribution of the additive interference. The gain in the accuracy of the estimation depends on the combination of values of cumulative coefficients of the 3rd and 4th orders. The closer the value of the coefficients of asymmetry and excess to the limit of the range of admissible values, the higher the accuracy of computational algorithms

Keywords

precision characteristics; polynomial maximization method; dispersion; amount of information about parameter; amplitude; frequency fluctuation; harmonic signal; coherent detection; coefficient of skewness-kurtosis

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Suggested citation

Lega, Yu. , Havrysh, O., Ivashchenko, К., Burdukova, О., & Bagrii, M. (2017). Analysis of potential characteristics of the quadrated algorithm of measurement of harmonic signal amplitude with fluctuated frequency in coherent detection. Bulletin of Cherkasy State Technological University, 22(4), 144-149.