An Adaptive Sparse Array Beamforming Algorithm Based on Approximate L0-norm and Logarithmic Cost

This paper introduces a constrained normalized adaptive sparse array beamforming algorithm based on approximate L-0-norm and logarithmic cost (L-0-CNLMLS). The proposed algorithm can control the sparsity of the array by introducing an approximate function of L-0-norm. In addition, the introduction of logarithmic cost improves the stability of the algorithm as well as the convergence rate of the algorithm. The sparsity of the array can be controlled when adjusting related parameter in the proposed algorithm. Simulation results show the better performance of L-0-CNLMLS compared with some conventional algorithms.