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Adaptive beamforming with sidelobe control: a second-order cone programming approach

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4 Author(s)
Jing Liu ; Dept. of Electr. & Comput. Eng., McMaster Univ., Hamilton, Ont., Canada ; Gershman, A.B. ; Zhi-Quan Luo ; Kon Max Wong

A new approach to adaptive beamforming with sidelobe control is developed. The proposed beamformer represents a modification of the popular minimum variance distortionless response (MVDR) beamformer. It minimizes the array output power while maintaining the distortionless response in the direction of the desired signal and a sidelobe level that is strictly guaranteed to be lower than some given (prescribed) threshold value. The resulting modified MVDR problem is shown to be convex, and its second-order cone (SOC) formulation is obtained that facilitates a computationally efficient way to implement our beamformer using the interior point method.

Published in:

Signal Processing Letters, IEEE  (Volume:10 ,  Issue: 11 )