GSC-based adaptive beamforming with multiple-beam constraints under random array position errors

This paper deals with the problem of adaptive beamforming under random array position errors to provide multiple-beam constraints and suppress jammers simultaneously. Using a steering matrix with each column vector corresponding to the steering vector of a selective beam and a constraint vector with each entry equal to the gain of a selective beam, we construct the quiescent weight vector and the blocking matrix required by a generalized sidelobe canceller, (GSC) to achieve a GSC-based adaptive array beamformer with multiple-beam constraints. For coping with the performance degradation due to random perturbations in array sensor positions, an iterative matrix reconstruction scheme in conjunction with derivative constraints is presented to alleviate the effect of random position errors. Simulation results show the effectiveness of the proposed technique.