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Array mismatch which is caused by hardware and installation precision affects performance of antenna array significantly. Probability statistics is usually used to model array mismatch, so as to simulate array pattern. In this paper, the non-probabilistic interval analysis (IA) method is used to analyze the bounds of array pattern of uniform linear arrays in view of independent and simultaneous existence of amplitude and phase errors on array excitation. Based on the derived theoretical bounds of array pattern, array synthesis algorithm based on convex optimization is proposed. Compared with the algorithm using global random search, the proposed method can obtain better array excitation parameters with the same array mismatch. Computer simulation results verify the effectiveness and robustness of the proposed algorithm.
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