随机布阵条件下同时数字多波束干扰优化设计方法

摘要

The present beamforming methods for radar jamming are subject to many flaws such as low efficiency,difficulty to form synchronous multi -beam jamming,inapplicability to stochastic embattling. In this paper,a new beamforming method based on SOCP is proposed for the synchronous multi-beam radar jamming. First,the optimal design problems in the condition of stochastic embattling can be formulated into the mathematical description under different norm criteria. Then,translate the mathematical description of synchronous multiple beamforming for jamming in the condition of stochastic embattling into a SOCP form under the norm criteria. Moreover,this SOCP problem can be solved effectively via CVX or SeDuMi. Last,the related constraints simulation results show that the approach can solve the design problem efficiently.%针对现有方法普遍存在的波束形成算法效率低、难以形成多频点多方向的同时多波束干扰、不适用于随机布阵条件下的波束形成等缺点，提出了一种基于二阶锥规划（SOCP，Second-Order Cone Programming）理论的同时数字多波束干扰形成方法。首先，给出了在随机布阵条件下干扰多波束优化设计问题的数学描述；其次，以范数准则为例，将随机布阵条件下干扰多波束设计问题的解析形式转化为相应的SOCP形式；再次，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。最后，仿真结果表明该方法可以较好地解决随机布阵条件下的多频率多方向雷达目标同时多波束干扰优化设计问题。