Zhurnal Radioelektroniki - Journal of Radio Electronics. eISSN 1684-1719. 2021. №10
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DOI: https://doi.org/10.30898/1684-1719.2021.10.12 

UDC: 621.396:621.391.8

 

FORMING BROADEN DIPS IN THE DIRECTIONAL PATTERN OF AN ADAPTIVE SPATIAL FILTER WITH PLANAR ANTENNA ARRAY

 

M. Y. Lishak

 

National Research University «Moscow Power Engineering Institute», Krasnokazarmennaya str., 14, Moscow 111250, Russia

 

The paper was received on August 30, 2021

 

Abstract. The adaptive antenna array beamforming is used to suppress jammers by placing antenna directional pattern nulls in the directions of the jammer sources. The performance of the beamformer is known to degrade in rapidly moving jammer environments. This degradation occurs due to the jammer motion that can bring the jammers out of the sharp nulls of the adaptive directional pattern. The directional pattern nulls broadening is an effective means to settle this problem. To broaden the nulls, the first derivative of the pattern in the directions of the jammer sources is set equal to zero. Being applied to the beamformer with a linear array, this technique allows producing broaden  nulls in the directional pattern. However, in the case of a two-dimensional planar antenna array, the nulls will broaden only in one angular plane. In order to equally broaden the nulls in all angular directions and in this way to make them symmetrical, some additional constraints on the second partial derivatives of the directional pattern should be imposed. To set these constraints, it is necessary to include additional transformed steering vectors of jammers in the basis of the jammer subspace. These new transformed steering vectors are calculated in accordance with the expressions for the second partial derivatives of the directional pattern. In this paper, the expressions for the transformed steering vectors are derived and a novel beamforming algorithm based on them is proposed. In the adaptive beamforming algorithm based on such an approach unknown steering vectors of jammers are replaced by the eigenvectors of the sample covariance matrix corresponding to the largest eigenvalues. The effectiveness of the proposed method is verified by the computer simulation results. The computational complexity of this algorithm is estimated.

Key words: adaptive array, jammer suppression, beamformer, directional pattern, null broadening.

References

1. Ratynskii M.V. Adaptatsiya i sverkhrazreshenie v antennykh reshetkakh [Adaptation and super-resolution in antenna arrays]. Moscow, Radio i Svyaz'  Publ. 2003. 200 p. (In Russian)

2. Gershman A.B., Ermolaev V.T. Synthesis of the weight distribution of an adaptive antenna array with wide dips in the directional pattern. Izvestiya vuzov. Radiofizika [Proceedings of Universities. Radiophysics].  1991. Vol.34. No.6. P.720-724. (In Russian)

3. Qian J., He Z., Xie J., Zhan Y. Null broadening adaptive beamforming based on covariance matrix reconstruction and similarity constraint. EURASIP Journal on Advances in Signal Processing. (2017) 2017:1. https://doi.org/10.1186/s13634-016-0440-1

4. Yang X., Li S., Long T., Sarkar T. Adaptive null broadening method in wideband beamforming for rapidly moving interference suppression. Electronics Letters. 2018. Vol.54. No.16.  P.1003–1005.

5. Mohammadzadeh S., Kukrer O. Robust adaptive beamforming for fast moving interference based on the covariance matrix reconstruction. IET Signal Processing. 2019. Vol.13. Iss.4. P.486–493. https://doi.org/10.1049/iet-spr.2018.5264

6. Steyskal H. Synthesis of antenna patterns with prescribed nulls. IEEE Transactions on Antennas and Propagation. 1982. Vol.30. No.2. P.273-279.

7. Li R., Zhao X., Shi X.W. Derivative constrained robust LCMV beamforming algorithm. Progress in Electromagnetics Research C. 2008. Vol.4. P.43-52.

8. Lishak M.Y. Forming in the directional pattern of the spatial filter with planar antenna array two-dimensional wide zones of angular rejection. Proceedings of Anniversary Scientific and Technical Conference of CRIRES “Progressivnye napravleniya razvitiya radioehlektronnykh informatsionnykh kompleksov i system” [Progressive directions of the development of radio-electronic information complexes and systems]. Moscow. 12-13 September, 1996. Published by CRIRES 1997. Pt.1. P. 134-139. (In Russian)

9. Amitay N., Galindo V., Wu C.P. Theory and Analysis of Phased Array Antennas. ‎ N.-Y., L., J. Wiley & Sons. 1972. 443 p.

10. Korn G., Korn T. Mathematical Handbook for Scientists and Engineers. 2-nd Ed. New York, McGraw-Hill Book Company.  1968. 850 p.

11. Bazaraa S., Shetty C.M. Nonlinear Programming. Theory and Algorithms. New York, John Wiley & Sons. 1979. 560p.

12. Johnson D.H., Dudgeon D.E. Array signal processing: Concepts and Techniques. Englewood Cliffs, NJ, PTR Prentice Hall. 1993. 552 p.

13. Krishnamoorthy A., Menon D. Matrix Inversion Using Cholesky Decomposition [online]. Last revised 17 Oct 2013. Available at:  https://arxiv.org/abs/1111.4144v2 (accessed: 29.10.21)

14. Samarskij A.A., Gulin A.V. CHislennye metody [Numerical methods]. Moscow, Nauka Publ. 1989. 432 p. (In Russian)

15. TigerSHARC Embedded Processor ADSP-TS101S [online]. Analog Devices.  URL: https://www.analog.com/media/en/technical-documentation/data-sheets/adsp-ts101s.pdf (accessed: 10.11.21)

For citation:

Lishak M.Y. Forming broaden dips in the directional pattern of an adaptive spatial filter with planar antenna array. Zhurnal Radioelektroniki [Journal of Radio Electronics]. 2021. No.10. https://doi.org/10.30898/1684-1719.2021.10.12 (In Russian)