摘要
传统的相控阵天线由于其复杂和成本过高的特性,已无法满足日益增长的应用需求。基于子阵技术的非常规阵列天线较好的实现了复杂性和辐射性能之间的良好折衷,受到了广泛的关注。文中提出一种基于全变分压缩感知的阵列综合方法,在模式匹配策略下解决了均匀线性相控阵的连续子阵划分问题。通过将不同子阵天线单元的激励变换到梯度域中,使其具有稀疏性,从而将子阵划分中的子阵布局及激励的优化求解问题转换为求解激励梯度域稀疏度最大值优化问题,通过增广拉格朗日公式构造无约束代价函数最小化问题,并利用确定性交替算法进行优化求解,最终实现均匀线阵连续子阵的划分。通过几种典型阵列子阵划分的数值算例,并与一些传统子阵划分方法(如遗传算法、K-means聚类方法)进行比较,在方向图匹配误差、阵列性能参数(如旁瓣电平、方向系数等)以及计算效率等方面验证了文中方法的有效性。
Due to complexity and high cost,traditional phased array antennas are no longer suitable for current research applications.Unconventional array antennas based on subarray technology have achieved a good compromise between complexity and radiation performance,and have received widespread attention.This paper proposes an array synthesis method based on total variation compressed sensing to solve the problem of continuous subarray partitioning in a uniform linear phased array.By transforming the excitation of different subarray antenna units into the gradient domain to make them sparse,the optimization problem of subarray layout and excitation in subarray partitioning is converted into the problem of maximizing the sparsity of the excitation gradient domain.The unconstrained cost function minimization problem is constructed by augmenting the Lagrangian formula,and the deterministic alternating algorithm is used for optimization.Finally,the partitioning of a continuous subarray in a uniform linear array is achieved.Through several numerical examples of typical array subarray partitioning,the effectiveness of the proposed method is verified through numerical examples of several typical array subarray partitioning,and by comparing it with some traditional subarray partitioning methods(such as genetic algorithms and K-means clustering methods)in terms of direction diagram matching error,array performance parameters,and computational efficiency.
作者
张清河
曾志云
吴数鑫
沈钊阳
杨利霞
ZHANG Qinghe;ZENG Zhiyun;WU Shuxin;SHEN Zhaoyang;YANG Lixia(Key Laboratory of Intelligent Visual Monitoring for Hydroelectric Engineering in Hubei Province,China Three Gorges University,Yichang 443002,China;School of Computer and Information Technology,China Three Gorges University,Yichang 443002,China;School of Electronics and Information Engineering,Anhui University,Hefei 230039,China)
出处
《微波学报》
北大核心
2025年第4期19-26,40,共9页
Journal of Microwaves
基金
国家自然科学基金(61771008)。
关键词
相控阵
子阵划分
模式匹配
全变分压缩感知
phased array antennas
subarray partitioning
pattern matching
total-variation compressed sensing
