Open AccessOn Diagonal Loading for Robust Adaptive Beamforming Based on Worst‐Case Performance Optimization
Author(s) -
Lin Jingran,
Peng Qicong,
Shao Huaizong
Publication year - 2007
Publication title -
etri journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.295
H-Index - 46
eISSN - 2233-7326
pISSN - 1225-6463
DOI - 10.4218/etrij.07.0105.0186
Subject(s) - diagonal , robustness (evolution) , adaptive beamformer , beamforming , control theory (sociology) , computational complexity theory , closed form expression , mathematical optimization , signal to interference plus noise ratio , computer science , interference (communication) , mathematics , power (physics) , algorithm , telecommunications , mathematical analysis , channel (broadcasting) , quantum mechanics , gene , geometry , control (management) , artificial intelligence , biochemistry , chemistry , physics
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 signal‐to‐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.