A Null Broadening Beamforming Approach Based on Covariance Matrix Expansion

Authors

  • Wenxing Li College of Information and Communications Engineering Harbin Engineering University, Harbin, 150001, China
  • Yu Zhao College of Information and Communications Engineering Harbin Engineering University, Harbin, 150001, China
  • Qiubo Ye Department of Electronics Carleton University, Ottawa, Canada
  • Si Li College of Information and Communications Engineering Harbin Engineering University, Harbin, 150001, China

Keywords:

Beamforming, covariance matrix expansion, null broadening

Abstract

In order to improve the performance of antenna array beamforming in the case of jammer motion, a null broadening beamforming approach based on covariance matrix expansion is proposed in this paper. The covariance matrix of the array is expanded through the Kronecker product of an eye matrix and the sample covariance matrix. The steering vector of the array is also expanded. When the expanded covariance matrix is used for beamforming, more linear constraints can be constructed compared with the original sample covariance matrix, so wider and deeper nulls can be obtained with equal number of array elements, or similar performance can be obtained with fewer number of array elements. Necessary numerical procedures are provided and computation complexity is analyzed. The validity of the proposed approach is verified by theoretical analysis and simulation results.

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References

Z. D. Zaharis, C. Skeberis, and T. D. Xenos, “Improved antenna array adaptive beamforming with low side lobe level using a novel adaptive invasive weed optimization method,” Progress In Electromagnetics Research, vol. 124, pp. 137- 150, 2012.

W. X. Li, X. J. Mao, W. H. Yu, Y. S. Li, and C. Y. Yue, “Robust adaptive array beamforming based on modified norm constraint algorithm,” Applied Computational Electromagnetics Society, vol. 29, no. 12, pp. 1060-1066, 2014.

A. Khabbazibasmenj, S. A. Vorobyov, and A. Hassanien, “Robust adaptive beamforming based on steering vector estimation with as little as possible prior information,” IEEE Trans. Signal Processing, vol. 60, no. 6, pp. 2974-2987, 2012.

R. L. Haupt, “Adaptive arrays,” Applied Computational Electromagnetics Society, vol. 24, pp. 541- 549, 2009.

M. S. Hossain, G. N. Milford, M. C Reed, and L. C. Godara, “Robust efficient broadband antenna array pattern synthesis Technique,” IEEE Trans. Antennas and Propagation, vol. 62, no. 2, pp. 4537-4546, 2014.

A. B. Gershman, U. Nickel, and J. F. Bohme, “Adaptive beamforming algorithms with robustness against jammer motion,” IEEE Trans. Signal Processing, vol. 45, no. 7, pp. 1878-1885, 1997.

P. D. Karaminas and A. Manikas, “Superresolution broad null beamforming for cochannel interference cancellation in mobile radio networks,” IEEE Trans. Vehicular Technology, vol. 49, no. 3, pp. 689-697, 2000.

R. J. Mailloux, “Covariance matrix augmentation to produce adaptive pattern troughs,” Electronics Letters, vol. 31, no. 10, pp. 771-772, 1995.

M. Zatman, “Production of adaptive array troughs by dispersion synthesis,” Electronics Letters, vol. 31, no. 25, pp. 2141-2142, 1995.

J. G. Guerci, “Theory and application of covariance matrix tapers for robust adaptive beamforming,” IEEE Trans. Signal Processing, vol. 47, no. 4, pp. 977-985, 1999.

F. L. Liu, G. Z. Sun, J. K. Wang, and R. Y. Du, “Null broadening and side lobe control algorithm via multi-parametric quadratic programming for robust adaptive beamforming,” Applied Computational Electromagnetics Society, vol. 29, no. 4, pp. 307-315, 2014.

M. H. Er, “Technique for antenna array pattern synthesis with controlled broad nulls,” IEE Proceedings H, vol. 135, no. 6, pp. 375-380, 1988.

L. C. Godara and M. R. Sayyah Jahromi, “An optimized sector nulling technique for broadband antenna array,” International Conference on Signal Processing and Communication System, 2008.

A. Amar and M. A. Doron, “A linearly constrained minimum variance beamformer with a pre-specified suppression level over a pre-defined broad null sector,” Signal Processing, vol. 109, pp. 165-171, 2015.

W. X. Li, Y. P. Li, L. L. Guo, and W. H. Yu, “An effective technique for enhancing anti-interference performance of adaptive virtual antenna array,” Applied Computational Electromagnetics Society, vol. 26, no. 3, pp. 234-240, 2011.

W. X. Li, Y. P. Li, and W. H. Yu, “On adaptive beamforming for coherent interference suppression via virtual antenna array,” Progress In Electromagnetics Research, vol. 125, pp. 165- 184, 2012.

W. X. Li, X. J. Mao, W. H. Yu, and C. Y. Yue, “An effective technique for enhancing direction finding performance of virtual arrays,” International Journal of Antennas and Propagation, 2014.

M. C. Dogan and J. M. Mendel, “Applications of cumulants to array processing. I. Aperture extension and array calibration,” IEEE Trans. Signal Processing, vol. 43, no. 5, pp. 1200-1216, 1995.

A. Massoud, A. Osman, and A. Noureldin, “DOA estimation based on fourth order cumulant beamforming for nonuniform linear array of DIFAR sonobuoys,” Computers & Electrical Engineering, vol. 38, no. 4, pp. 986-993, 2012.

B. Porat and B. Friedlander, “Direction finding algorithms based on high-order statistics,” IEEE Trans. Signal Processing, vol. 39, no. 9, pp. 2016- 2024, 1991.

R. O. Schmidt, “Multiple emitter location and signal parameter estimation,” IEEE Trans. Antennas and Propagation, vol. 34, no. 2, pp. 276-280, 1986.

J. Brewer, “Kronecker products and matrix calculus in system theory,” IEEE Trans. Circuits and Systems, vol. 25, no. 9, pp. 772-781, 1978.

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Published

2021-08-05

How to Cite

[1]
Wenxing Li, Yu Zhao, Qiubo Ye, and Si Li, “A Null Broadening Beamforming Approach Based on Covariance Matrix Expansion”, ACES Journal, vol. 32, no. 02, pp. 128–134, Aug. 2021.

Issue

2017: Vol 32 Iss 2

Section

General Submission