Convex Optimization Based Sidelobe Suppression for Adaptive Beamforming with Subarray Partition

Authors

  • S. Xiaofeng Department of Electrical Engineering University of Electronic Science and Technology of China, Chengdu, 611731, China
  • X. Jia Department of Electrical Engineering University of Electronic Science and Technology of China, Chengdu, 611731, China
  • Z. Ying Department of Electrical Engineering University of Electronic Science and Technology of China, Chengdu, 611731, China
  • K. Ling Department of Electrical Engineering University of Electronic Science and Technology of China, Chengdu, 611731, China

Keywords:

Adaptive beamforming, convex optimization, sidelobe control, subarray level

Abstract

This paper proposes a convex optimization based method to suppress sidelobe in adaptive beamforming at subarray level. Usually phase shift rather than amplitude tapering is implemented at element level to maximize signal to noise ratio. Nevertheless, sidelobe control can be realized at subarray level. The proposed approach is realized by adding a constraint minimizing the difference between weights at subarray level and element-level Chebyshev synthesis into the optimal conditions. Compared with penalty function method, simulations show that for a uniform linear array, the proposed method can suppress sidelobe level considerably, especially the lobes close to mainlobe. Furthermore, it is able to produce better shaped main lobe, which is extremely close to the referenced pattern.

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References

U. Nickel, “Subarray configurations for digital beamforming with low sidelobes and adaptive interference suppression,” Proc. IEEE International Radar Conference, Alexandria, USA, pp. 714- 719, May 1995.

P. Lombardo and D. Pastina, “Pattern control for adaptive antenna processing with overlapped subarrays,” IEEE Radar, 2003.

G. Herbert, “A new projection based algorithm for low sidelobe pattern synthesis in adaptive arrays,” Radar 97, no. 449, pp. 14-16, Oct. 1997.

J. Wang, R. Krlin, and X. Lu, “Sidelobe control using optimization methods in adaptive beamforming,” Adaptive Antenna Arrays: Trend and Applications, Springer, July 2004.

C. Dolph, “A current distribution for broadside array which optimizes the relationship between beamwidth and sidelobe level,” Proc. IRE, vol. 34, pp. 335-345, June 1946.

T. Taylor, “Design of line source antennas for narrow beamwidth and low sidelobes,” IEEE Trans. on Antennas and Propagation, vol. 3, pp. 16-28, Jan. 1955.

R. Elliot, “Design of line source antennas for narrow beamwidth and asymmetric low sidelobes,” IEEE Trans. on Antennas and Propagation, vol. 23, pp. 100-107, 1975.

B. Carlson, “Covariance matrix estimation errors and diagonal loading in adaptive arrays,” IEEE Trans. on Aerospace and Electronic Systems, vol. 24, no. 4, pp. 397-401, 1988.

J. Liu, et al, “Adaptive beamforming with sidelobe control using second-order cone programming,” Pro. of IEEE Sensor Array and Multichannel Signal Processing Workshop, Rosslyn, VA, pp. 461-464, 2002.

Y. Zhang, H. Zhao, J. Lie, B. Ng, and Q. Wan, “Robust beamforming technique with sidelobe suppression using sparse constraint on beampattern,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 25, no. 11, pp. 947-955, Nov. 2010.

Y. Chen, S. Yang, and Z. Nie, “The application of a modified differential evolution strategy to some array pattern synthesis problems,” IEEE Trans. Antennas Propag., vol. 56, no. 7, pp. 1919-1927, July 2008.

P. Rocca, R. Haupt, and A. Massa. “Interference suppression in uniform linear arrays through a dynamic thinning strategy,” IEEE Trans. on Antennas and Propagat., vol. 59, no. 12, Dec. 2011.

M. Bataineh. “On Chebyshev array design using particle swarm optimization,” Journal of Electromagnetic Analysis and Applications, pp. 213-219, March 2011.

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

U. Nickel, “Principle of adaptive array processing,” Advanced Radar Systems, Signal and Data Processing, pp. 5-1–5-20, 2006.

I. Reed, D. Mallett, and L. Brennan, “Rapid convergence for a digital adaptive array radar,” IEEE Trans. AEs-10: pp. 853-863, 1974.

D. Hughes and J. McWihirter, “Penalty function method for sidelobe control in least squares adaptive beamforming,” Advanced Signal Processing Algorithms, vol. 2563, July 1995.

M. Wax and T. Kailath, “Detection of signals by information theoretic criteria,” IEEE Trans, ASSP, pp. 387-392, 1985.

B. Stephen and V. Lieven, Convex Optimization, Cambridge University Press, New York, 2009.

J. Löfberg, “YALMP: a toolbox for modeling and optimization in MATLAB,” Proceedings of the CACSD Conference, Taipei, Taiwan, 2004.

V. Lieven and B. Stephen, “Semi definite Programming,” SIAM Review 38, pp. 49-95, March 1996.

R. Shubair, S. Jimaa, and A. Omar, “Robust adaptive beamforming using least mean mixed norm algorithm,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 23, no. 3, pp. 262-269, Sep. 2008.

L. Rees, J. Mallett, and L. Brennan, “Rapid convergence rate in adaptive arrays,” IEEE Trans. AES, vol. 10, no. 6, pp. 853-863, 1974.

K. Buckley, “Spatial/Spectral filtering with linearly constrained minimum variance beamformers,” IEEE Trans, on ASSP, vol. 35, no. 3, pp. 249-266, 1987,

H. Hu and H. Zhang, “Study on ADBF for difference beam at subarray level with sidelobe level,” IEEE International Symposium on Microwave, Antenna, Propagation, and EMC Technologies for Wireless Communications, pp. 714-717, 2007.

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Published

2021-09-07

How to Cite

[1]
S. . Xiaofeng, X. . Jia, Z. . Ying, and K. . Ling, “Convex Optimization Based Sidelobe Suppression for Adaptive Beamforming with Subarray Partition”, ACES Journal, vol. 29, no. 01, pp. 30–36, Sep. 2021.

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