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A new iterative robust adaptive beam forming(RAB)is introduced in this paper,which is robust against covariance matrix uncertainty and arbitrary steering vector mismatches.First,an enhanced covariance matrix estimate obtained via a shrinkage method.Then the objective for estimating mismatches of the steering vector is the maximization of the beam former output power,while the constraints is the requirement that the projection of desired steering vector to the interference-plus-noise subspace is no more than a relaxing constant.