Title
Robust adaptive beamforming algorithms using the constrained constant modulus criterion
Abstract
The authors present a robust adaptive beamforming algorithm based on the worst-case (WC) criterion and the constrained constant modulus (CCM) approach, which exploits the constant modulus property of the desired signal. Similar to the existing worst-case beamformer with the minimum variance design, the problem can be reformulated as a second-order cone programme and solved with interior point methods. An analysis of the optimisation problem is carried out and conditions are obtained for enforcing its convexity and for adjusting its parameters. Furthermore, low-complexity robust adaptive beamforming algorithms based on the modified conjugate gradient and an alternating optimisation strategy are proposed. The proposed low-complexity algorithms can compute the existing WC constrained minimum variance and the proposed WC-CCM designs with a quadratic cost in the number of parameters. Simulations show that the proposed WC-CCM algorithm performs better than existing robust beamforming algorithms. Moreover, the numerical results also show that the performances of the proposed low-complexity algorithms are equivalent or better than that of existing robust algorithms, whereas the complexity is more than an order of magnitude lower.
Year
DOI
Venue
2014
10.1049/iet-spr.2013.0166
IET Signal Processing
Keywords
Field
DocType
array signal processing,convex programming,wc-ccm design,conjugate gradient,constrained constant modulus criterion,convexity,interior point method,low-complexity robust adaptive beamforming algorithm,minimum variance design,optimisation strategy,second-order cone programme,worst-case criterion
Conjugate gradient method,Minimum-variance unbiased estimator,Mathematical optimization,Convexity,Adaptive beamformer,Control theory,Algorithm,Quadratic cost,Modulus,Order of magnitude,Interior point method,Mathematics
Journal
Volume
Issue
ISSN
8
5
1751-9675
Citations 
PageRank 
References 
7
0.45
13
Authors
3
Name
Order
Citations
PageRank
L. Landau18313.35
de Lamare, R.C.265233.42
Martin Haardt33531311.32