Phased array beamforming with practical constraints
Phased array beamforming with practical constraints
复制标题
具有实际限制的相控阵波束形成
DOI：
10.1016/j.sigpro.2020.107698
复制
发表时间：
2020-11-01
影响因子：
4.4
通讯作者：
Kong, Lingjiang
中科院分区：
文献类型：
--
作者：
Feng, Lifang;Cui, Guolong;Kong, Lingjiang
本文讨论了相控阵天线合成接收波束时加权系数的设计问题。通过在绝对动态范围（ADR）/量化WC和非归一化功率方向图电平（NNPPL）约束下最大化阵列增益，提出了两个新的非定量和定量WC情况下的优化问题。所得到的问题是非凸约束二次分式规划，福尔斯属于一类NP-难问题。通过引入一系列辅助变量，将其转化为一种新的统一ADMM形式，每次迭代通过求解一系列小的易处理的子问题来执行。为了处理量子化的组合约束，我们将WC的更新表示为欧几里得投影形式，以获得封闭形式的解。仿真结果表明，该方法可以合成出满足窄主瓣或低副瓣、高阵列增益或宽陷波要求的波束，并能克服由于量化操作和阵列各向异性而导致的波束性能恶化。(C)2020由Elsevier B. V.出版
This paper deals with the design of the weighted coefficients (WCs) for the phased array to synthesize a received beam. Two new optimization problems accounting for non-quantitative and quantitative WCs cases are developed via maximizing array gain in the constraints on absolute dynamic range (ADR)/quantization for WCs and non-normalized power pattern level (NNPPL). The resulting problems are non-convex constrained quadratic fractional programming that falls into a class of NP-hard problems. We reformulate them into a new unified ADMM form via introducing a series of auxiliary variables, where each iteration is executed via solving a series of small tractable subproblems. To deal with the combinatorial constraints on quantization, we formulate the update of WCs as a Euclid projection form to obtain the closed-form solutions. Finally, some simulation results highlight that the proposed approach can synthesize beams that meet the requirements of narrow mainlobe or both low sidelobe and high array gain or wide notch and can deal with the deterioration of the beam performance due to the quantization operation and the nonisotropy of the array. (C) 2020 Published by Elsevier B.V.