A new approach to the design of robust narrow-band processors

A new approach to the design of narrowband antenna array processors is proposed. The new approach allows a wide variety of possible errors to be incorporated in the problem formulation and leads to a robust optimum weight vector. The new approach can be used to make the optimum system robust against channel phase errors, array geometry errors and pointing errors, to name a few. Initially a general quadratic constraint on the weights is developed. However, it is then shown that the quadratic constraint can be replaced by linear constraints or at most linear constraints plus norm constraint. These latter set of constraints are no more complex than those required for designs which do not incorporate robustness features explicitly. The new optimum processor can be implemented adaptively.