LFM-DPC抗间歇采样转发干扰波形集设计算法

doi:10.12305/j.issn.1001-506X.2025.07.09

摘要/Abstract

摘要：

针对间歇采样转发干扰产生的假目标和目标高速运动产生的多普勒频移导致雷达脉压性能急剧下降的问题, 提出一种高多普勒容限的线性调频-离散相位编码(linear frequency modulation-discrete phase coding, LFM-DPC)复合调制相干波形集设计方法。在一定多普勒频移范围内, 以最小化未转发信号自模糊函数旁瓣能量以及未转发信号与转发信号互模糊函数能量建立优化模型, 并设计一种基于KKT (Karush-Kuhn-Tucker)最优性条件的迭代算法对模型求解。仿真实验表明, 相比于遗传算法和单一调制的LFM和DPC信号, 基于KKT最优性条件的交替迭代优化算法优化的LFM-DPC波形集有更好的抗间歇采样转发干扰性能。

关键词: 间歇采样转发干扰, 线性调频-离散相位编码波形集, 多普勒容限, KKT条件, 模糊函数

Abstract:

In response to the degradation of radar pulse compression performance due to false targets caused by interrupted sampling repeater jamming (ISRJ) and Doppler frequency shift caused by motion of high-speed target, a design method for high Doppler tolerance waveform set which is based on the composite modulation of linear frequency modulation-discrete phase coding (LFM-DPC) is proposed. Within a certain range of Doppler frequency shifts, the optimization model is formulated by minimizing the sidelobe energy of the auto ambiguity function of the unrepeated signal and the energy of the cross-ambiguity function between the unrepeated signal and the repeated signal. Then an iterative algorithm based on the KKT (Karush-Kuhn-Tucker) optimality condition is designed to solve the model. Simulation experiments show that compared to genetic algorithm (GA) and single modulation LFM signal and DPC signal, the LFM-DPC waveform set designed by the iterative optimization algorithm based on KKT optimality conditions has better performance in anti-ISRJ.

Key words: interrupted sampling repeater jamming (ISRJ), linear frequency modulation and discrete phase coding (LFM-DPC) waveform set, Doppler tolerance, KKT (Karush-Kuhn-Tucker) condition, ambiguity function

中图分类号:

TN95

董乔龙, 刘思琪, 张伟见, 张劲东. LFM-DPC抗间歇采样转发干扰波形集设计算法[J]. 系统工程与电子技术, 2025, 47(7): 2154-2164.

Qiaolong DONG, Siqi LIU, Weijian ZHANG, Jindong ZHANG. LFM-DPC waveform set design algorithm against interrupted sampling repeater jamming[J]. Systems Engineering and Electronics, 2025, 47(7): 2154-2164.

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算法	相位数	GA	KKT	差值
AAF-ASL	K=4	-46.52	-47.06	0.54
	K=8	-46.72	-48.95	2.23
	K=16	-46.46	-50.49	4.03
CAF-AL	K=4	-49.52	-51.37	1.85
	K=8	-49.36	-53.10	3.74
	K=16	-49.67	-54.41	4.74

算法	波形数量	GA	KKT	差值
AAF-ASL	M=3	-44.71	-46.03	1.32
	M=4	-46.72	-48.95	2.23
	M=5	-47.16	-49.97	2.81
CAF-AL	M=3	-48.51	-51.30	2.79
	M=4	-49.36	-53.10	3.74
	M=5	-50.46	-54.62	4.16

参数	数值
载频/GHz	15
目标径向距离/km	d₁=15, d₂=16.2
目标径向速度/(m/s)	v₁=100, v₁=－200
目标回波强度/dB	β₁=0, β₂=－5
干扰机位置/km	d_j=16.8
转发干扰延迟时间/μs	1.5
信噪比/dB	20
信干比/dB	-15

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