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

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.

[1]  Randy L. Haupt,et al.  Introduction to Adaptive Arrays , 1980 .

[2]  B. Carlson.  Covariance matrix estimation errors and diagonal loading in adaptive arrays , 1988 .

[3]  Barry D. Van Veen.  Minimum variance beamforming with soft response constraints , 1991, IEEE Trans. Signal Process..

[4]  David Z. Hughes,et al.  Sidelobe Control in Adaptive Beamforming Using a Penalty Function , 1996, Fourth International Symposium on Signal Processing and Its Applications.

[5]  K.L. Bell,et al.  Adaptive and non-adaptive beampattern control using quadratic beampattern constraints , 1999, Conference Record of the Thirty-Third Asilomar Conference on Signals, Systems, and Computers (Cat. No.CH37020).

[6]  Jos F. Sturm,et al.  A Matlab toolbox for optimization over symmetric cones , 1999 .

[7]  L. Griffiths,et al.  ADAPTIVE BEAMPATTERN CONTROL USING QUADRATIC CONSTRAINTS FOR CIRCULAR ARRAY STAP , 2000 .