Robust wideband waveform design with constant modulus and discrete phase constraints for distributed precision jamming

Abstract

Distributed precision jamming (DPJ) is a novel blanket jamming concept in electronic warfare, which delivers the jamming resource to the opponent equipment precisely and ensures that friendly devices are not affected. Robust jamming performance and low hardware burden on the jammers are crucial for practical DPJ implementation. To achieve these goals, we study the robust design of wideband constant modulus (CM) discrete phase waveform for DPJ, where the worst-case combined power spectrum (CPS) of both the opponent and friendly devices is considered in the objective function, and the CM discrete phase constraints are used to design the wideband waveform. Specifically, the resultant mathematical model is a large-scale minimax multi-objective optimization problem (MOP) with CM and discrete phase constraints. To tackle the challenging MOP, we transform it into a single-objective minimization problem using the L_p-norm and Pareto framework. For the approximation problem, we propose the Riemannian conjugate gradient for CM discrete phase constraints (RCG-CMDPC) algorithm with low computational complexity, which leverages the complex circle manifold and a projection method to satisfy the CM discrete phase constraints within the RCG framework. Numerical examples demonstrate the superior robust DPJ effectiveness and computational efficiency compared to other competing algorithms.

摘要

分布式精确干扰是电子战领域一种先进的压制式干扰技术,能够精准地将干扰资源精确地投送至敌方电子设备,同时确保友方设备不受影响。考虑到实现高效干扰与降低硬件负担的双重挑战,本文提出一种面向分布式精确干扰的具有宽带恒定模值离散相位约束的鲁棒波形设计方法。该方法在构建目标函数时同时考虑了敌方设备和友方设备处合成功率谱的最坏情况,并为求解的宽带波形附加恒定模值和离散相位约束。由此得到的数学模型可归结为一个具有恒定模值和离散相位约束的大规模极小—极大多目标优化问题。为此,利用Lp范数和帕累托框架将其转化为一个单目标最小化问题。随后,提出一种计算复杂度较低的恒定模值离散相位约束的黎曼共轭梯度算法,该算法利用复圆流形和投影来满足黎曼共轭梯度框架内的恒定模值和离散相位约束。仿真实验表明,相较于现有研究,该算法具有更好的鲁棒性和更高计算效率。