Aiming at degradation of robustness caused by large steering vector mismatch in the traditional adaptive beamforming algorithms
a robust adaptive beamforming algorithm by constraints on magnitude response is proposed. The receiving covariance matrix mismatch is modeling optimized
and the main lobe magnitudes are then constrained according to the known direction information of multiple coherent signals. The optimization case is converted into an iterative second-order cone programming(SOCP)via the presented lemma. Simulations show that this method enables to form beam main lobe in the direction of multiple coherent signals
and to control the width and the ripple level of the main lobe flexibly. When direction mismatch of the desired signal reaches 3.5° and the signal to noise ratio(SNR)varies within -5 dB to 10 dB
the array output signal to interference and noise ratio(SINR)in the proposed algorithm is superior to that in the uncertainty algorithm by 0-6 dB
and this algorithm is endowed with higher robustness against large steering vector mismatch.
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references
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