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On Diagonal Loading for Robust Adaptive Beamforming Based on Worst-Case Performance Optimization
Jing-ran Lin,Qi-cong Peng,Huai-zong Shao 한국전자통신연구원 2007 ETRI Journal Vol.29 No.1
Robust adaptive beamforming based on worst-case performance optimization is investigated in this paper. It improves robustness against steering vector mismatches by the approach of diagonal loading. A closed-form solution to optimal loading is derived after some approximations. Besides reducing the computational complexity, it shows how different factors affect the optimal loading. Based on this solution, a performance analysis of the beamformer is carried out. As a consequence, approximated closed-form expressions of the source-of-interest power estimation and the output signalto- interference-plus-noise ratio are presented in order to predict its performance. Numerical examples show that the proposed closed-form expressions are very close to their actual values.