Research on Shaped Pattern Synthesis of Antenna Array Based on Mathematical Programming

Abstract

阵列天线综合的研究在雷达、通信、导航和抗干扰等领域具有很重要的意义。对于不同的用途,要求天线形成不同的方向图形状,本文主要研究了阵列天线的赋形波束方向图综合方法。赋形波束综合由于它的高度非线性非凸性,用传统方法进行综合具有一定的难度。本文从数学规划的角度出发,将原始的综合问题逐步转化为凸优化问题,进而可以利用一些成熟的算法工具包得到有效的求解,比如SeDuMi和CVX等。 首先,本文研究并总结了三种主要的数学规划方法在赋形波束方向图综合中的应用。线性规划(LP)方法可用于共轭对称阵列的赋形波束综合,而对于一般的阵列形式,则可以选择利用迭代凸优化(iSOCP)或凸松弛(SDR)的思路进行求解。...The synthesis of antenna array has a very important significance on radars, communication, navigation and anti-jamming and so on. The antenna patterns are required to produce different shapes based on the different applications. In this paper, the synthesis methods of the shaped beam pattern of antenna array are studied. It is difficult to synthesis the shaped beam with traditional methods because...学位:工学硕士院系专业:物理科学与技术学院_工程硕士(电子与通信工程)学号:3432014115280

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