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In this work, we propose an adaptive set-membership constant modulus (SM-CM)algorithm with a generalized sidelobe canceler (GSC) structure for blindbeamforming. We develop a stochastic gradient (SG) type algorithm based on theconcept of SM filtering for adaptive implementation. The filter weights areupdated only if the constraint cannot be satisfied. In addition, we alsopropose an extension of two schemes of time-varying bounds for beamforming witha GSC structure and incorporate parameter and interference dependence tocharacterize the environment which improves the tracking performance of theproposed algorithm in dynamic scenarios. A convergence analysis of the proposedadaptive SM filtering techniques is carried out. Simulation results show thatthe proposed adaptive SM-CM-GSC algorithm with dynamic bounds achieves superiorperformance to previously reported methods at a reduced update rate.

Set-Membership Adaptive Constant Modulus Algorithm with a Generalized Sidelobe Canceler and Dynamic Bounds for Beamforming