A Variable Diagonal Loading Beamformer with Joint Uncertainties of Steering Vector and Covariance Matrix

作者：Zhuang, Jie^*; Zhang, Tao; Chen, Jing; Liu, Yulin

来源：Wireless Personal Communications, 2015, 84(2): 999-1015.

DOI：10.1007/s11277-015-2672-z

• Covariance matrix uncertainty
• Robust adaptive beamforming (RAB)
• Variable diagonal loading
• Worst-case performance optimization

In this paper, a novel robust adaptive beamforming is proposed in which both the uncertainties of steering vector and covariance matrix are taken into account. First we develop a min-max optimization problem which aims to find a steering vector with the maximum output power under the worst-case covariance mismatch. Then we relax this min-max optimization problem to a max-min optimization problem which can be solved by using the Karush-Kuhn-Tucker optimality conditions. It is also shown that the proposed technique can be interpreted in terms of variable diagonal loading where the optimal loading factors are related to both the correlations (between the eigenvectors and the signal of interest) and the eigenvalues of the data covariance matrix. The effectiveness of the proposed approach is supported by computer simulation results.

• 出版日期2015-9
• 单位电子科技大学