用于精确干扰波形设计的高效流形算法  

Efficient manifold algorithm for the waveform design for precision jamming

作　　者：张铂扬 褚怡 杨仲平 周青松 ZHANG Boyang;CHU Yi;YANG Zhongping;ZHOU Qingsong(College of Engineering Computing&Cybernetics,The Australian National University,Canberra 2601,Austrulia;Beijing Satellite Navigation Center,Beijing 100083,China;College of Electronic Engineering,National University of Defense Technology,Hefei 230037,China)

机构地区：[1]澳大利亚国立大学工程与计算机学院,堪培拉2601 [2]北京卫星导航中心,北京100083 [3]国防科技大学电子对抗学院,安徽合肥230031

出　　处：《西安电子科技大学学报》2023年第6期84-92,共9页Journal of Xidian University

基　　金：国家自然科学基金(62301581);湖南省研究生创新项目(CX20230045)。

摘　　要：精确干扰是电子战领域的新概念。其核心思想是将搭载干扰机的无人机蜂群作为超稀疏阵列并发射干扰波形,从而在空域上对敌方设备精准地实施压制式干扰,并确保友方设备不受影响,但现有精确干扰波形设计方法仅能适应特定场景,且计算效率有待提升。为此,提出一种基于复圆流形优化的高效流形设计算法,以提高计算效率,并根据实际需求控制目标和友方区域内干扰能量分布。首先根据精确干扰空间模型和干扰能量在空域内分布的最坏情况建立一个恒模约束下的多目标优化问题。接下来采用L_(p)范数对极大极小的优化目标进行光滑化近似处理。最后从黎曼几何的角度入手,将恒模约束多目标问题视为复圆流形下的无约束问题,并采用黎曼共轭梯度算法对问题进行高效求解。仿真结果表明,提出的算法通过调整正则化参数可以实现不同区域内的能量控制,从而适应不同场景及任务的精确干扰需求;且较现有算法具有更低的计算复杂度,能够有效提高精确干扰波形设计的计算效率。Precision jamming is a new concept in the field of electronic warfare.The core idea is to adopt a group of drone swarms equipped with jammers as ultra-sparse arrays to transmit the jamming waveform,which aims to implement blanket jamming to the opponent equipment in the spatial domain precisely and ensures that the friendly equipment is not being affected.However,the existing methods apply only to some specific scenarios,and they need to be improved in computational efficiency.In this case,this paper proposes an efficient waveform design algorithm based on the complex circle manifold to improve the computational efficiency,which can control the energy level in the target and friendly regions according to the practical requirement.First,we establish a novel multi-objective optimization problem(MOP)with unimodular constraints according to the precision jamming geometric model and the worst case of jamming energy distribution in the spatial domain.Then,we adopt the L_(p)-norm to smooth and approximate the minimax objective function.Finally,the MOP with unimodular constraints is viewed as an unconstrainted problem under the complex circle manifold from the perspective of the Riemann geometry,with the Riemannian Conjugate Gradient(RCG)algorithm employed to solve the problem efficiently.Simulation results are provided to demonstrate that the proposed algorithm can control the energy level in different regions by adjusting the regularization parameter,which meets the requirement of different scenarios and tasks of precision jamming.Moreover,it has a lower computational complexity and improves the computational efficiency for the precision jamming waveform design as compared to the existing methods.

关 键 词：精确干扰 波形设计 复圆流形 多目标优化 

分 类 号：TN972[电子电信—信号与信息处理]