Open AccessRobust beamforming in circular arrays using phase‐mode transformation
Author(s) -
Askari Mohsen,
Karimi Mahmood,
Atbaee Zakiyeh
Publication year - 2013
Publication title -
iet signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.384
H-Index - 42
eISSN - 1751-9683
pISSN - 1751-9675
DOI - 10.1049/iet-spr.2012.0236
Subject(s) - beamforming , transformation (genetics) , computer science , transformation matrix , algorithm , circular buffer , ellipsoid , control theory (sociology) , telecommunications , artificial intelligence , physics , biochemistry , chemistry , control (management) , kinematics , classical mechanics , astronomy , gene , programming language
Having many benefits, phase‐mode transformation technique is used frequently in beamforming with circular arrays. Owig to the fact that this transformation is frequency dependent, some techniques are used to make this transformation appropriate for broadband applications. When this technique is used with uniform circular arrays, its performance degrades because of the approximations applied to the formulations. In this study, the authors propose a new beamforming method not only robust against uncertainty in the steering vector of the desired signal, but also robust against errors caused by the phase‐mode transformation. The authors assume that steering vector of the desired signal pertains to a ball set and ellipsoid sets are considered to cover the transformation matrix columns. The proposed beamforming method is based on semi‐definite programming. The performance of the proposed beamforming method is compared with several other beamforming techniques by using a simulation study.