Robust cyclic beamforming against cycle frequency error in Gaussian and impulsive noise environments

Abstract

A robust cyclic array beamforming method is proposed for cyclostationary signals to counter against the cycle frequency error (CFE) in Gaussian and impulsive noise environments. In this approach, the maximum correntropy criterion (MCC) is employed as the cost function to compute an appropriate weight vector for performing cyclic adaptive array beamforming. We show that a closed form solution of weighting vector yields a weighted least-square-like formulation by using the MCC. The corresponding performances of unbiasedness and consistency are evaluated. Further, in order to solve the performance degradation caused by the CFE, an optimization method is developed based on the fact that the correntropy-based correlation (CRCO) function of the output signals will approach its maxima without any CFE. Finally, a robust iterative algorithm without the prior knowledge of the direction vector of the signal of interest (SOI) is proposed for robust adaptive array beamforming.