Adaptive Wideband Beamforming with Mainlobe Control Using Iterative Second-Order Cone Programming

Jie LI  Gang WEI  

Publication
IEICE TRANSACTIONS on Communications   Vol.E95-B   No.10   pp.3290-3293
Publication Date: 2012/10/01
Online ISSN: 1745-1345
DOI: 10.1587/transcom.E95.B.3290
Print ISSN: 0916-8516
Type of Manuscript: LETTER
Category: Fundamental Theories for Communications
Keyword: 
wideband beamformer,  constraints on mainlobe response,  second-order cone programming (SOCP),  frequency invariance property,  

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Summary: 
A wideband beamformer with mainlobe control is proposed. To make the beamformer robust against pointing errors, inequality rather than equality constraints are used to restrict the mainlobe response, thus more degrees of freedom are saved. The constraints involved are nonconvex, therefore are linearly approximated so that the beamformer can be obtained by iterating a second-order cone program. Moreover, the response variance element is introduced to achieve a frequency invariant beamwidth. The effectiveness of the technique is demonstrated by numerical examples.