Non-Uniform Linear Array Beamforming Algorithm Based on High-Order Cumulant

Abstract

In this paper, we first establish a model of a uniform linear array (ULA) antenna, and build an array model of the coprime array based on this, and then use the high-order cumulant to expand the array of linear constrained minimum variance (LCMV). Finally, through computer simulation, the reliability and effectiveness of the method are proved. In this paper, we export the signals received by the matrix array to the virtual domain, forming an equivalent uniform array of array element expansion on the virtual domain. Therefore, the number of array elements actually receiving signals is larger than the number of array elements of the coprime array. Increases the freedom of the system while reducing the cost of the antenna. Use high-order cumulant to expand the array, effectively reduce the width of the main lobe, suppress the sidelobe level, increase the depth of the null, and effectively suppress the Gaussian white noise due to the good mathematical properties of the high-order cumulant.