V.T. Ermolaev – Dr.Sc.(Eng.), Professor, Department of Bionics and Statistical Radiophysics,  Lobachevsky State University of Nizhni Novgorod

E-mail: ermol@rf.unn.ru

V.Yu. Semenov – Ph.D.(Phys.-Math.), Senior Lecturer, Department of Radio Engineering, 

Lobachevsky State University of Nizhni Novgorod

E-mail: vitali.semenov@gmail.com

A.G. Flaksman – Dr.Sc.(Phys.-Math.), Professor, Department of Bionics and Statistical Radiophysics,  Lobachevsky State University of Nizhni Novgorod

E-mail: flak2402@gmail.com

A.V. Yastrebov – Post-graduate Student, Department of Information Technologys, 

Nizhny Novgorod State Technical University n.a. R.E. Alekseev

E-mail: a.v.yastrebov@mail.ru

An adaptive antenna array is considered that simultaneously suppresses wide-band spatial interference and receives a wideband useful signal. An algorithm for the formation of weight coefficients in the basis of power vectors is proposed. Accurate analytical expressions for weight vectors are obtained. It is shown that the proposed method works for the case of a short sample of the input process. The mechanism of regularization of weight vectors is proposed. The estimation and comparison of the computational complexity of the proposed algorithm and the method of direct inversion of the matrix is made. The proposed method of power vectors has less computational complexity. The results of modeling are shown, which show the high efficiency of the proposed method.

1. Skolnik I. Spravochnik po radiolokaczii. Kn. I: Per. s angl. M.: Texnosfera. 2014. 671 s.
2. Radioe’lektronny’e sistemy’. Osnovy’ postroeniya i teoriya: spravochnik / Pod red. Ya.D. Shirmana. M.: Radiotexnika. 2007. 512 s.
3. Stoica P., Moses R.L. Spectral analysis of signal. Prentice Hall, NJ. 2005. 447 p.
4. Monzingo R.A., Miller T.U. Adaptivny’e antenny’e reshetki: Vvedenie v teoriyu: Per. s angl. M.: Radio i svyaz’. 1986. 448 c.
5. Huang F., Sheng W., Ma X., Wang W. Robust adaptive beamforming for large-scale arrays // Signal Processing. 2010. V. 90. № 1. P. 165−172.
6. Khabbazibasmenj A., Vorobyov S.A., Hassanien A. Robust adaptive beamforming based on steering vector estimation with as little as possible prior information // IEEE transactions on signal processing. 2012. V. 60. № 6. P. 2974−2987.
7. Mathai B.K., Gopi S., Pradeepa R. A recursive algorithm for robust wideband adaptive beamforming // Proceedings of the 2nd International Conference on Communication and Signal Processing. 2013. P. 1043−1047.
8. Bucciarelli M., Pastina D., Cristallini D., Sedehi M., Lombardo P. Integration of Frequency Domain Wideband Antenna Nulling and Wavenumber Domain Image Formation for Multi-Channel SAR // International Journal of Antennas and Propagation. 2016. V. 2016. Article ID 2834904. 13 p.
9. Noori N. Optimasation of a wideband tapped-delay lone array antenna // Iranian Journal of Electrical and Electronic Engineering. 2014. V. 10. № 2. P. 91−95.
10. Hema N., Kidav J., Lakshmi B. VLSI Architecture for Broadband MVDR Beamformer // Indian Journal of Science and Technology. 2015. V. 8. P. 19−28.
11. Chen Y., Lee J. Performance evaluation of DFT beamformers for broadband antenna array processing // Progress In Electromagnetics Research. 2013. V. 139. P. 57−86.
12. Berkun R., Cohen I., Benesty J. Combined beamformers for robust broadband regularized superdirective beamforming // IEEE/ACM transactions on audio, speech and language processing. 2015. V. 23. № 5. P. 877−886.
13. Ermolaev V.T., Semenov V.Yu., Sorokin I.S., Flaksman A.G., Yastrebov A.V. Regulyarizacziya vesovogo vektora adaptivnoj antennoj reshetki putem ogranicheniya chisla bazisny’x vektorov // Izvestiya VUZov. Radiofizika. 2015. T. 58. № 3. S. 235−243.
14. Ermolaev V.T., Semenov V.Yu., Sorokin I.S., Flaksman A.G. Primenenie metoda stepenny’x vektorov dlya adaptivnoj obrabotki signalov v mnogoluchevy’x antenny’x reshetkax // Izvestiya VUZov. Radiofizika. 2016. T. 59. № 10. S. 948−955.
15. Tixonov A.I., Arsenin V.Ya. Metody’ resheniya nekorrektny’x zadach. M.: Nauka. 1979. 288 s.
16. Abramovich Yu.I. Regulyarizovanny’j metod adaptivnoj optimizaczii fil’trov po kriteriyu maksimuma otnosheniya signal/pomexa // Radiotexnika i e’lektronika. 1981. T. 26. № 3. S. 543−551.
17. Voevodin V.V. Linejnaya algebra. M.: Nauka. 1980. 400 s.