Robust blind beamforming algorithm via the oblique projection method

A novel robust least squares constant modulus algorithm (LSCMA) is proposed for blind adaptive beamforming, which is based on explicit modeling of uncertainty in the desired signal array. To improve robustness, the weight vector is optimized to involve minimization of cost function, while imposing the oblique projection constraint on the weight vector and maintaining a distortionless response for the worst-case signal steering vector. The proposed algorithm appears to be an appealing technique for blind adaptive beamforming that combines excellent robustness with low computational complexity. The numerical experiments have been carried out to demonstrate the superiority of the proposed algorithm on beampattern control and output SINR enhancement.