Optimal synthesis of reconfigurable sparse arrays via multi‐convex programming. Issue 8 (1st August 2020)

• Record Type: Journal Article
• Authors: Qi, Zhengdong; Bai, Yechao; Wang, Qiong; Zhang, Xinggan; Chen, Hao
• Is Part Of: IET radar, sonar & navigation. Volume 14:Issue 8(2020)
• Page Start: 1125
• Page End: 1134
• Publication Date: 2020-08-01
• Subjects: iterative methods -- convex programming -- antenna radiation patterns -- antenna arrays -- white noise -- concave programming -- minimisation; electromagnetic simulations -- numerical testing -- white noise gain constraint -- reweighted objective function minimisation -- iterative scheme -- antenna system -- 1D reconfigurable sparse array synthesis -- 2D reconfigurable sparse array synthesis -- performance optimisation technique -- nonconvex lower bound constraint -- multiconvex programming; Signal processing -- Periodicals; Radar -- Periodicals; Sonar -- Periodicals; Electronics in navigation -- Periodicals; Navigation -- Periodicals; 621.3848
• DOI: 10.1049/iet-rsn.2019.0236
• Languages: English
• ISSNs: 1751-8784

Abstract

Abstract : A new approach for the synthesis of one‐dimensional (1D) and 2D reconfigurable sparse arrays generating sum and difference power patterns is presented in this study. In the case of 1D arrays, the design procedure provides solutions in which only one set of amplitude coefficients is required and the reconfigurability is obtained by modifying only the excitation phases. In the case of 2D arrays, the simplification of the antenna system is investigated by sharing some excitations for the sum and difference channels. An iterative scheme is used where the array response in the main lobe direction is cast as a multi‐convex problem at each step that the non‐convex lower bound constraint is relaxed while concurrently minimising a reweighted objective function based on the magnitudes of the element excitations. To ensure the robustness of the array, worst‐case performance optimisation technique and white noise gain constraint are introduced in the array. Numerical tests and electromagnetic simulations, referred to known optimal solutions, show that the proposed design is able to obtain good radiation performance with a smaller number of elements.