When there exists the array steering vector error

the performance of standard Capon beamforming will be severely degraded.In this paper

in the view of the constraints on the weight vector and the uncertainty sets

we propose a new approach

which is called Vector Optimization Robust Beamforming.It is shown that the proposed algorithm can be reformulated in a convex form as the so-called Second-Order Cone (SOC) program and solved efficiently using the well-established optimization tool

sedumi.Furthermore

this paper gives the approximate analytical expression for the adaptive weight vector

and reveals the main factors influencing the weight vector.Through the theory analysis and computer simulations

the influences of the constraint parameters

Signal Noise Ratio

snapshots

and bearing estimation errors on the output Signal Interference Noise Ratio and the spatial spectrum estimation are discussed in detail.Finally

the experimental results show that the robust high-resolution bearing estimation results can be obtained by our proposed method in practice.