Title | ||
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Adaptive Reduced-Rank Constrained Constant Modulus Algorithms Based on Joint Iterative Optimization of Filters for Beamforming |
Abstract | ||
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This paper proposes a robust reduced-rank scheme for adaptive beamforming based on joint iterative optimization (JIO) of adaptive filters. The novel scheme is designed according to the constant modulus (CM) criterion subject to different constraints. The proposed scheme consists of a bank of full-rank adaptive filters that forms the transformation matrix, and an adaptive reduced-rank filter that operates at the output of the bank of filters to estimate the desired signal. We describe the proposed scheme for both the direct-form processor (DFP) and the generalized sidelobe canceller (GSC) structures. For each structure, we derive stochastic gradient (SG) and recursive least squares (RLS) algorithms for its adaptive implementation. The Gram-Schmidt (GS) technique is applied to the adaptive algorithms for reformulating the transformation matrix and improving the performance. An automatic rank selection technique is developed and employed to determine the most adequate rank for the derived algorithms. A detailed complexity study and a convexity analysis are carried out. Simulation results show that the proposed algorithms outperform the existing full-rank and reduced-rank methods in convergence and tracking performance. |
Year | DOI | Venue |
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2010 | 10.1109/TSP.2010.2044250 | IEEE Transactions on Signal Processing |
Keywords | Field | DocType |
adaptive filters,array signal processing,gradient methods,iterative methods,matrix algebra,optimisation,recursive estimation,stochastic processes,Gram-Schmidt technique,adaptive beamforming techniques,adaptive reduced-rank constrained constant modulus algorithms,adaptive reduced-rank filter,automatic rank selection technique,convexity analysis,direct-form processor,generalized sidelobe canceller structures,joint iterative optimization,recursive least squares algorithms,stochastic gradient,transformation matrix,Antenna array,beamforming,constrained constant modulus,reduced-rank | Beamforming,Mathematical optimization,Adaptive beamformer,Iterative method,Control theory,Filter bank,Algorithm,Adaptive filter,Adaptive algorithm,Recursive least squares filter,Mathematics,Constrained optimization | Journal |
Volume | Issue | ISSN |
58 | 6 | 1053-587X |
Citations | PageRank | References |
25 | 0.86 | 37 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Wang, L. | 1 | 25 | 0.86 |
de Lamare, R.C. | 2 | 652 | 33.42 |
Masahiro Yukawa | 3 | 272 | 30.44 |