Sparse Controllable Adaptive Array Beamforming With Improved Array Element Utilization

摘要

An l₀-norm constrained normalized LMS algorithm (L₀-CNLMS) is proposed to implement sparse controllable adaptive antenna array beamforming. The proposed L₀-CNLMS algorithm exerts an l₀-norm penalty on the filter coefficients based on the constrained NLMS (CNLMS) algorithm, which aims to put the solution towards sparsity. By introducing the l₀-norm constraint into the quantities of antenna elements in using, the beam of the array can be controlled to a certain degree. To reduce the computation burden, an approximating l₀-norm realization method is utilized. The simulation experiments are created to prove that the L₀-CNLMS algorithm is effective in sparse adaptive array beamforming as well as controlling the amount of antenna elements.