The existing vector weighted robust beamforming is able to estimate the signal power of target only in situations of a small steering angle error. For a larger steering angle error case, although the matrix weighted beamforming can effectively estimate the signal power of the target as well, the system implementation is more complicated than above mentioned vector weighted. In order to solve these problems, this paper presents a new robust beamforming approach based on SemiDefinite rank Relaxation (SDR). Detailed description of the proposed method are given as follows: the optimal model has the same objective as that of the Capon algorithm the optimization variable is the covariance matrix of weight vector with constraints posed on the ripple of mainlobe amplitude and sidelobe level, and the rank of covariance matrix is 1.

Robust Beamforming via Semidefinite .pdf

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