Sparse array synthesis based on iterative weighted L1 norm

An iterative weighted L₁ norm optimization algorithm is proposed for the synthesis of sparse array in this paper. First of all, the weighted L₁ norm is presented to instead of L₀ norm which requires solving an NP problem. Then in the optimization procedure, a closed-form solution which is used for the next iteration can be achieved. Simulation results show that, compared with the existed sparse array synthesis method, the proposed algorithm can obtain sparser array with shorter array aperture under the constraints of radiation characteristics.