The Journal of China Universities of Posts and Telecommunications ›› 2021, Vol. 28 ›› Issue (2): 79-88.doi: 10.19682/j.cnki.1005-8885.2021.1007

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Side-lobe constrained beamforming under virtual expansion of L-shaped array

Ma Shexiang, Mei Xiaobing #br#   

  1. School of Electrical and Electronic Engineering, Tianjin University of Technology, Tianjin 300384, China
  • Received:2020-08-06 Revised:2021-03-01 Online:2021-04-30 Published:2021-04-30
  • Contact: Mei Xiaobing

Abstract: To reduce the side-lobe level of L-shaped expansion array and improve the output signal to interference and noise
ratio (SINR), the algorithm of side-lobe constraint based on minimum variance distortionless response ( MVDR-
SC) is proposed. Firstly, the approach of mixing diagonal loading and Mailloux-Zatman (DLMZ) is used to taper
the covariance matrix of the expansion array. Then, the second order cone programming ( SOCP) obtained by
constructing a new matrix is used to control the beam side-lobe. Finally, the new adaptive weight numbers are
constructed by adjusting the proportion between DLMZ and SOCP. Simulation results show that the MVDR-SC
algorithm can effectively reduce the side-lobe of beamforming under the L-shaped expansion array and obtain a
larger output SINR. At the same time, it has good robustness to the mutual coupling error.

Key words: beamforming, L-shaped expansion array, side-lobe constraint, second order cone programming (SOCP) 

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