The method of matrix synthesis of an antenna array with vector directional diagram

E. N. Mishchenko; S. E. Mishchenko; V. V. Shatsky; N. V. Shatsky

The method of matrix synthesis of an antenna array with vector directional diagram

E. N. Mishchenko¹, S. E. Mishchenko², V. V. Shatsky³, N. V. Shatsky⁴

research article Pages: 20-25

¹ Ph.D. (Eng.), Associate Professor, Rostov State Transport University
² Dr.Sc. (Eng.), Professor, Leading Research Scientist, FSUE «Rostov-on-Don Research Radiocommunication Institute» FRPC
³ Ph.D. (Eng.), Senior Research Scientist, FSUE «Rostov-on-Don Research Radiocommunication Institute» FRPC
⁴ Ph.D. (Eng.), Associate Professor, Senior Research Scientist, Section of Applied Problems of the Presidium of the RAS (North Caucasus branch)

Keywords: antenna array basis vector directional diagram matrix energy optimization Hermitian matrix

Abstract

The problem of energy optimization for an antenna array the weight vector of which ensures the formation of several components of the vector directional diagram has been formulated. Energy characteristics of the antenna array are presented as a ratio of Hermitian forms.

A method of matrix synthesis of an antenna array, providing the solution of the problem of energy optimization has been proposed. The method is based on finding the maximum eigenvalue of a positive definite matrix. The condition of a positive definite matrix can be obtained by weighing its diagonal elements. An example for an antenna array consisting of the emitters based on three mutually orthogonal dipoles with the matched centers located in free space has been given.

How to cite

Мищенко Е.Н., Мищенко С.Е., Шацкий В.В., Шацкий Н.В. Метод матричного синтеза антенной решетки с векторной диаграммой направленности // Антенны. 2014. № 8. С. 20–25.

References

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Cheng D.K. Optimization techniques for antenna arrays // IEEE Proc. 1971. V. 59. № 12. P. 1664.
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Ratynskij M.V. Adaptaciya i sverkhrazreshenie v antennykh reshetkakh. M.: Radio i svyaz'. 2003.
Mishchenko S.E., Starchenko A.V. Vektornyj sintez antennoj reshetki skreshchennykh nad sharom dipolej // Radiotekhnika. 2009. № 10. S. 42-47.
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[1] Sazonov D.M. Matrichnaya teoriya antennykh reshyotok. Ucheb. posobie. Taganrog: Izd-vo YuFU. 2013.

[2] Cheng D.K. Optimization techniques for antenna arrays // IEEE Proc. 1971. V. 59. № 12. P. 1664.

[3] Zelkin E.G., Sokolov V.G. Metody sinteza antenn: fazirovannye antennye reshetki i antenny s nepreryvnym raskryvom. M.: Sov. radio. 1980.

[4] Monzingo R.A., Miller T.U. Adaptivnye antennye reshetki: Vvedenie v teoriyu / per. s angl. M.: Radio i svyaz'. 1986.

[5] Ratynskij M.V. Adaptaciya i sverkhrazreshenie v antennykh reshetkakh. M.: Radio i svyaz'. 2003.

[6] Mishchenko S.E., Starchenko A.V. Vektornyj sintez antennoj reshetki skreshchennykh nad sharom dipolej // Radiotekhnika. 2009. № 10. S. 42-47.

[7] Gantmakher F.R. Teoriya matric. Izd. 4-e. M.: Nauka. 1988.

Abstract

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