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Aiming at the problems of cost limitation and high complexity in near-field security imaging for uniform array antennas, a strong sparse low sidelobe sparse array design algorithm is proposed. Firstly, according to the physical characteristics of sparse array, a joint optimization problem is established which minimizes the 1 p (0< p <1) norm of array excitation to the objective function and is constrained by the level of main sidelobe. Then, the splitting variable of the main sidelobe constraint is introduced to separate the objective function from the level constraint of the complex main sidelobe, and the problem is simplified and solved by using the equality transformation relation. Then the complex derivative method is used to approximate the array excitation iteratively. Finally, the Alternating Direction Method of Multipliers (ADMM) is used to achieve the cooperative solution of the main sidelobe constraint and the array excitation minimization. The experimental results show that the method can obtain lower sidelobe level and fewer array elements without the main lobe broadening.
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