Synthesis of algorithms of joint estimation of Doppler frequency shift and asymmetric interference parameters

Tetiana Vorobkalo; Oleksandr  Havrysh; Olga  Andriienko

Journal: Volume 21, No. 1, 2016

Pages: 48 – 54

596 Views

Synthesis of algorithms of joint estimation of Doppler frequency shift and asymmetric interference parameters

Tetiana Vorobkalo, Oleksandr Havrysh, Olga Andriienko

Abstract

In most papers, Doppler frequency is estimated in the presence of idealized Gaussian interferences. In practice, usually the character of interference distribution is non-Gaussian and unknown to researchers.The purpose of the work is to synthesize algorithms of joint estimation of Doppler frequency shift and statistical characteristics of asymmetric non-Gaussian interference by the method of polynomial maximization and to study the accuracy of results. The basis of this method consists in the use of sedate stochastic polynomials, and as aprioristic information the moments-cumulant description of random variables is used. The model of random variables is the additive mixture of the useful harmonious signal and non-Gaussian interference. In this article algorithms of joint estimation of Doppler frequency shift and the variance and asymmetry parameter of asymmetric non-Gaussian interference up to fourth degree of sedate stochastic polynomials inclusive are synthesized. Analytical expressions of the found dispersion estimations are received and investigated. It is shown that dispersion decreases and at the movement of asymmetry coefficient to the boundary of acceptable variance estimation dispersions go to zero. Also with increasing the degree of polynomial stochastic estimation variance decreases. It is found that algorithms of joint evaluation of Doppler frequency of asymmetric interference using the method of polynomial maximization are more accurate in comparison with classical estimation of algorithms relevant parameters. Based on the results, obtained in this paper, it is possible to build more accurate devices for determining Doppler frequency with unknown statistical characteristics of the interference

Keywords

Doppler frequency, non-Gaussian interference, asymmetric interference, parameter estimation, polynomial maximization method, dispersion, asymmetry parameter

References

Kunchenko, Y. (2002). Polynomial parameter estimations of close to Gaussian random variables. Aachen, Germany: Shaker Verlag.
Kunchenko, Yu.P. (2001). Polynomial estimations of parameters of near-Gaussian random variables. Part 1: Stochastic polynomials, their properties and application to parameter estimation. Cherkasy: ChITI.
Kunchenko, Yu.P., & Vorobkalo, T.V. (2002). Application of the polynomial maximization method for parameter estimation of signals received by a multi-element antenna array. Radiophysics and Electronics, 7(2), 415–418.
Kunchenko, Yu.P., & Zabolotnyi, S.V. (2001). Polynomial estimations of parameters of near-Gaussian random variables. Part 2: Estimation of parameters of near-Gaussian random variables. Cherkasy: ChITI.
Shirman, Ya.D., & Manzhos, V.N. (1981). Theory and techniques of radar information processing in the presence of interference. Moscow: Radio i svyaz.
Sosulin, Yu.G. (1992). Theoretical foundations of radar and radionavigation. Moscow: Radio i svyaz.
Tam, W.M., Lau, F.C.M., & Tse, C.K. (2006). Digital communications with chaos: Multiple access techniques and performance. London: Elsevier.
Van Trees, H.L. (2002). Detection, estimation, and modulation theory. Part IV: Optimum array processing. Hoboken, NJ: John Wiley & Sons.
Vorobkalo, T.V. (2008). Method for finding an approximate solution of the polynomial maximization equation. Bulletin of Cherkasy State Technological University, (3), 14–17.
Vorobkalo, T.V., & Honcharov, A.V. (2009). Asymptotic properties of the joint estimation of signal delay time and statistical characteristics of non-Gaussian noise. Radioelectronics and Informatics (KhNURE), (1), 15–19.

Suggested citation

Vorobkalo, T., Havrysh, O., & Andriienko, O. (2016). Synthesis of algorithms of joint estimation of Doppler frequency shift and asymmetric interference parameters. Bulletin of Cherkasy State Technological University, 21(1), 48-54.

[1] Kunchenko, Y. (2002). Polynomial parameter estimations of close to Gaussian random variables. Aachen, Germany: Shaker Verlag.

[2] Kunchenko, Yu.P. (2001). Polynomial estimations of parameters of near-Gaussian random variables. Part 1: Stochastic polynomials, their properties and application to parameter estimation. Cherkasy: ChITI.

[3] Kunchenko, Yu.P., & Vorobkalo, T.V. (2002). Application of the polynomial maximization method for parameter estimation of signals received by a multi-element antenna array. Radiophysics and Electronics, 7(2), 415–418.

[4] Kunchenko, Yu.P., & Zabolotnyi, S.V. (2001). Polynomial estimations of parameters of near-Gaussian random variables. Part 2: Estimation of parameters of near-Gaussian random variables. Cherkasy: ChITI.

[5] Shirman, Ya.D., & Manzhos, V.N. (1981). Theory and techniques of radar information processing in the presence of interference. Moscow: Radio i svyaz.

[6] Sosulin, Yu.G. (1992). Theoretical foundations of radar and radionavigation. Moscow: Radio i svyaz.

[7] Tam, W.M., Lau, F.C.M., & Tse, C.K. (2006). Digital communications with chaos: Multiple access techniques and performance. London: Elsevier.

[8] Van Trees, H.L. (2002). Detection, estimation, and modulation theory. Part IV: Optimum array processing. Hoboken, NJ: John Wiley & Sons.

[9] Vorobkalo, T.V. (2008). Method for finding an approximate solution of the polynomial maximization equation. Bulletin of Cherkasy State Technological University, (3), 14–17.

[10] Vorobkalo, T.V., & Honcharov, A.V. (2009). Asymptotic properties of the joint estimation of signal delay time and statistical characteristics of non-Gaussian noise. Radioelectronics and Informatics (KhNURE), (1), 15–19.