一种空频域联合优化的精确干扰波形设计方法

doi:10.19665/j.issn1001-2400.20230805

摘要/Abstract

摘要：

精确干扰技术是当前新型电子战的热点研究方向之一。为解决准确调节干扰功率空频域分布特性的问题,提出了基于交替乘子法的精确干扰波形设计方法。首先给出了空频域特性联合优化目标下设计恒模精确干扰波形优化问题的数学模型,通过进一步引入变量,将原始目标函数中包含的非凸四次项转化为二次项,从而使优化问题可以通过交替乘子法求解。经理论推导得到交替乘子法每次迭代时的最优闭式解,进而降低了算法的计算复杂度。仿真实验表明,相较已有只优化空域干扰功率分布的精确干扰波形设计方法而言,该算法设计出的精确干扰波形在预设干扰区域内的合成信号具有更好的功率谱分布特性,这更符合实际干扰任务的需求;同时,相较于已有的空频域联合优化算法,提出的算法考虑了波形恒模约束,这更符合工程实现的需要且提出算法的计算复杂度更低,并可以通过并行计算进一步降低运算时间。

关键词: 精确干扰, 干扰波形设计, 联合优化, 交替乘子法, 波形恒模约束

Abstract:

Precision jamming technology is one of the hot research directions in current new electronic warfare.To solve the problem of accurately adjusting the spatial and frequency domain distribution characteristics of jamming power,a precision jamming waveform design method based on the alternating multiplier method is proposed.First,a mathematical model for the optimization problem of designing constant-modulus precision jamming waveforms under the joint optimization objective of spatial and frequency domain characteristics is presented.Furthermore,by introducing variables,the non-convex quartic term contained in the original objective function is transformed into a quadratic term,enabling the optimization problem to be solved by the alternating direction method of multipliers.Based on theoretical derivation,the optimal closed form solution for each iteration of the alternating direction method of multipliers is obtained,thereby reducing the computational complexity of the algorithm.Simulation experiments show that compared to existing precision jamming waveform design methods that only optimize the spatial jamming power distribution,the precision jamming waveform designed by this algorithm has better power spectrum distribution characteristics in the synthesized signal within the preset jamming area,which is more in line with the requirements of actual jamming tasks;meanwhile,compared to existing joint optimization algorithms in the spatial and frequency domains,the algorithm proposed in this paper considers the waveform constant-modulus constraint,which is more in line with the needs of engineering implementation.Moreover,the proposed algorithm is lower in computational complexity and it can further reduce the computational time through parallel computing.

Key words: precision jamming, jamming waveform design, joint optimization, alternating direction method of multipliers, waveform constant-modulus constraint

中图分类号:

TN972

王静, 张可迪, 张剑云, 周青松, 吴明霖, 李志汇. 一种空频域联合优化的精确干扰波形设计方法[J]. 西安电子科技大学学报, 2023, 50(6): 93-104.

WANG Jing, ZHANG Kedi, ZHANG Jianyun, ZHOU Qinsong, WU Minglin, LI Zhihui. Precision jamming waveform design method for spatial and frequency domain joint optimization[J]. Journal of Xidian University, 2023, 50(6): 93-104.

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算法	特性	与R间的均方误差和	最大APSL	AISL总和
文献[17]	恒模,仅优化空域功率分布	2.530	0.875	0.238
文献[18]	恒模,仅优化空域功率分布	0.150	0.850	0.235
文献[19]	恒模,仅优化空域功率分布	0.080	0.836	0.238
文献[20]	非恒模,空频域联合优化	10^-5	0.243	0.019
文中方法	恒模,空频域联合优化	0.103	0.183	0.013