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Quadratically Constrained Beamforming Robust Against Direction-of-Arrival Mismatch

Chen, Chun-yang and Vaidyanathan, P. P. (2007) Quadratically Constrained Beamforming Robust Against Direction-of-Arrival Mismatch. IEEE Transactions on Signal Processing, 55 (8). pp. 4139-4150. ISSN 1053-587X. doi:10.1109/TSP.2007.894402.

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It is well known that the performance of the minimum variance distortionless response (MVDR) beamformer is very sensitive to steering vector mismatch. Such mismatches can occur as a result of direction-of-arrival (DOA) errors, local scattering, near-far spatial signature mismatch, waveform distortion, source spreading, imperfectly calibrated arrays and distorted antenna shape. In this paper, an adaptive beamformer that is robust against the DOA mismatch is proposed. This method imposes two quadratic constraints such that the magnitude responses of two steering vectors exceed unity. Then, a diagonal loading method is used to force the magnitude responses at the arrival angles between these two steering vectors to exceed unity. Therefore, this method can always force the gains at a desired range of angles to exceed a constant level while suppressing the interferences and noise. A closed-form solution to the proposed minimization problem is introduced, and the diagonal loading factor can be computed systematically by a proposed algorithm. Numerical examples show that this method has excellent signal-to-interference-plus-noise ratio performance and a complexity comparable to the standard MVDR beamformer.

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Vaidyanathan, P. P.0000-0003-3003-7042
Additional Information:© 2007 IEEE. Reprinted with permission. Manuscript received March 29, 2006; revised October 22, 2006. [Posted online: 2007-07-23] This work was supported in part by the ONR under Grant N00014-06-1-0011 and in part by The California Institute of Technology. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. A. Rahim Leyman. The authors would like to express their deep appreciation to the reviewers who provided very useful criticism and many insightful remarks.
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-06-1-0011
Subject Keywords:Capon beamformer, diagonal loading, direction-of-arrival (DOA) mismatch, minimum variance distortionless response (MVDR) beamformer, robust beamforming, steering vector uncertainty
Issue or Number:8
Record Number:CaltechAUTHORS:CHEieeetsp07b
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8518
Deposited By: Archive Administrator
Deposited On:17 Aug 2007
Last Modified:08 Nov 2021 20:50

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