基于二阶锥规划的同时多频率/多波束干扰优化设计

doi:10.3969/j.issn.1000-1093.2014.07.029

兵工学报 ›› 2014, Vol. 35 ›› Issue (7): 1124-1130.doi: 10.3969/j.issn.1000-1093.2014.07.029

基于二阶锥规划的同时多频率/多波束干扰优化设计

雷磊，周青松，张剑云，黄中瑞

（电子工程学院502教研室，安徽合肥 230037）

收稿日期:2013-06-26 修回日期:2013-06-26 上线日期:2014-09-05
作者简介:雷磊（1990—），男，硕士研究生
基金资助:
安徽省自然科学基金项目(1408085MF128)

Optimal Design of Synchronous Multi-frequency/multi-beam Jamming Based on Second-order Cone Programming

LEI Lei, ZHOU Qing-song, ZHANG Jian-yun, HUANG Zhong-rui

(502 Department, Electronic Engineering Institution, Hefei 230037, Anhui, China)

Received:2013-06-26 Revised:2013-06-26 Online:2014-09-05

摘要/Abstract

摘要： 针对现有宽带波束形成算法效率低，难以满足多频率、多方向的同时多频率/多波束干扰形成设计需求等缺点，提出了一种基于二阶锥规划(SOCP)理论的同时多频率/多波束干扰形成方法。给出了在不同范数准则条件下干扰多波束优化设计问题的数学描述；以L₂范数准则为例，将干扰多波束设计问题的解析形式转化为相应的SOCP形式；利用现有的原-对偶内点算法工具箱SeDuMi或者CVX进行快速求解。仿真结果表明，该方法可以较好地解决相应约束条件下的多频率/多方向雷达目标同时干扰优化设计问题。

关键词: 雷达工程, 二阶锥规划, 同时多波束, 宽带波束形成, 雷达干扰

Abstract: The present multi-frequency/ multiple beamforming methods for radar jamming have the disadvantages of low efficiency and difficulty to form synchronous multi-frequency/multi-beam jamming. A new beamforming method based on second-order cone programming (SOCP) is proposed for the synchronous multi-frequency/multi-beam radar jamming. The optimal design problems can be formulated into the mathematical description in the case of different norm criteria. And then the mathematical description is translated into a SOCP one by taking L₂ norm criteria for example. Moreover, this SOCP problem can be solved effectively via CVX or SeDuMi. The simulation results show that the approach can solve the optimal design problem efficiently.

Key words: radar engineering, second-order cone programming, multi-beam, wideband beamforming, radar jamming

中图分类号:

TN974

雷磊，周青松，张剑云，黄中瑞. 基于二阶锥规划的同时多频率/多波束干扰优化设计[J]. 兵工学报, 2014, 35(7): 1124-1130.

LEI Lei, ZHOU Qing-song, ZHANG Jian-yun, HUANG Zhong-rui. Optimal Design of Synchronous Multi-frequency/multi-beam Jamming Based on Second-order Cone Programming[J]. Acta Armamentarii, 2014, 35(7): 1124-1130.

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基于二阶锥规划的同时多频率/多波束干扰优化设计

Optimal Design of Synchronous Multi-frequency/multi-beam Jamming Based on Second-order Cone Programming

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