Compressed sensing based adaptive digital beamforming algorithm in circle arrays

A new adaptive digital beamforming algorithm of circle arrays in the receiving end based on compressed sensing is proposed.According to the sparsity of the targets in space，we design a digital beamforming by using the theory of compressed sensing.The algorithm greatly reduces the number of the actual array elements without reducing the antenna aperture.It is a new method for sparse arrays.In the case of sparse arrays，the echo information of the missing channels is restored firstly by using the theory of compressed sensing.Then the restored signal is used to calculate the weights by using the adaptive digital beamforming algorithm.Finally，the simulation results show the correctness of the proposed method.