Robust Adaptive Algorithm for Smart Antenna System With $\alpha$ -Stable Noise

One of the main problems facing beamforming in smart antenna system is the α-stable noise. To address this problem, a novel algorithm, named the recursive continuous logarithmic mixed p-norm (RCLMP) algorithm, which employs a logarithmic cost, is proposed in this brief. The proposed algorithm combines the logarithmic p-norms 1 ≤ p ≤ 2 which does not need the parameter selection and prior knowledge of α-stable noise, and exhibits good robustness against α-stable noise. Moreover, we show some H
^∞
norm bounds for the proposed algorithm. Simulation results show that the RCLMP algorithm outperforms the existing algorithms in terms of interference rejection capability and estimation accuracy.