Evaluating the influence of intrasystem perturbations of the observations covariance matrix on the DF response of adaptive antenna array

Authors

DOI:

https://doi.org/10.1109/ICATT.2017.7972614

Keywords:

intrasystem disturbances, direction of arrival response, adaptive antenna array, parametric vectoк

Abstract

In development of an analytical approach to study the class of inverse problems with correlation matrix of observations inversion the expressions that showing the behaviour of direction of arrival (DOA) response of adaptive antenna array under intrasystem uncertainty are obtained. The value intervals for correctly representation of solved problem in the relation to maximum entropy and Capon's methods are defined; DOA reliefs which allow evaluating the perturbations influence of the correlation matrix with different conditionality on the characteristics of the antenna array are built.

References

I. Y. Kremer, A. I. Kremer, V. M. Petrov, et al. Existential Processing of Signals [in Russian, ed. by I. Ya. Kremer]. Moscow: Radio and Communication, 1984.

W. D. Wirth, Radar Techniques Using Array Antennas: 2nd ed. London: The Institution of Engineering and Technology, 2013, 530 p.

D. E. Dadgeon and R. A. Mersereau, Multidimensional Digital Signal Processing. Prentice-Hall, Inc. Englewood Cliffs, 1984.

R. A. Monzingo and T. W. Miller, Introduction to Adaptive Arrays. New York: John Wiley and Sons, 1980.

Constantine A. Balanis and Panayiotis I. Ioannides, “Introduction to Smart Antennas,” Synthesis Lectures on Antennas, Vol. 2, No. 1, pp. 1-175, 2007. DOI: http://doi.org/10.2200/S00079ED1V01Y200612ANT005.

Ahmed El Zooghby, Smart Antenna Engineering. Boston and London: Artech House, Inc., 2005.

M. V. Ratynsky, Adaptation and Superresolution in Antenna Arrays [in Russian]. Moscow: Radio and Communication, 2003, 200 p.

D. I. Lekhovytskiy, D. V. Atamanskiy, D. S. Rachkov, and A. V. Semeniaka, “New rapidly convergent ‘superresolving’ direction finders of noise radiation sources,” Proc. of the 15th Int. Sci.-Practical Conf. on Modern Information and Electronic Technologies, 26-30 May, Odessa, Ukraine. Odessa, 2014, Vol. 1, pp. 174-180.

S. L. Marple, Jr., Digital Spectral Analysis with Applications. Prentice Hall, 1987.

V. A. Egorov and N. S. Kondybaev, “Investigation of the properties of the Keipon algorithm in the problems of finding stationary active jammers,” Computer Tools in Education, No. 3, pp. 10-17, 2011.

V. M. Koshevoy, “Estimation of correlation matrices,” Radiotekhnika i Elektronika, No. 10, pp. 1964-1974, 1986.

Y. S. Shifrin, Statistical Antenna Theory. Boulder, Colorado: Golem. Press, 1971, 370 p.

Y. S. Shifrin, “Statistical antenna theory,” Antenna Reference Technique. Vol. 1 [in Russian, ed. by Ya. N. Feld and E. G. Zelkin]. Moscow, 1997, Ch. 9, 57 p.

Y. S. Shifrin and L. G. Kornienko, “Field statistics of antenna arrays,” Antennas, No. 1, p. 3-26, 2000.

Y. A. Zhelnov, Precision Characteristics of Control Computers [in Russian]. Moscow: Energoatomizdat, 1983, 136 p.

V. V. Skachkov, V. V. Chepkyi, H. D. Bratchenko, and A. N. Efymchykov, "Entropy approach to the investigation of information capabilities of adaptive radio engineering system in conditions of intrasystem uncertainty," Radioelectron. Commun. Syst., Vol. 58, no. 6, pp. 241-249, 2015. DOI: http://doi.org/10.3103/S0735272715060011.

G. H. Golub and C. F. Van Loan, Matrix Computations, 2nd ed. Baltimore and London: The John Hopkins Univercity Press, 1989.

J. W. Demmel, Applied Numerical Linear Algebra. SIAM, 1997.

V. V. Skachkov, V. V. Chepkyi, H. D. Bratchenko, O. M. Yefymchykov, and V. I. Pavlovich, “Mathematical model of intrasystem destabilizing factors in the tasks of minimization quadratic to the functional of quality of the adaptive informatively-measuring system, ” Proc. of IXth Int. Sci.-Tech. Conf. on Metrology and Measuring Equipment, Metrology 2014. Kharkov, Ukraine. Kharkov: KhNURE, 2014, pp. 442-447.

V. V. Skachkov, “Analysis of efficiency of adaptive treatment of signals in the conditions of destabilizing influences, ” Radiotechniques, Vol. 11, pp. 10-15, 1998.

Published

2017-07-16

Issue

Section

Antenna arrays, adaptive and smart antennas