基于余弦-指数非线性混沌映射的射频隐身抗分选信号设计技术

doi:10.12382/bgxb.2022.0201

摘要/Abstract

摘要：

射频隐身是当前雷达领域的研究热点之一,抗分选信号是一种主要的射频隐身信号。研究抗分选信号的设计原理,并以此为基础在充分考虑分选算法的容差限制后,提出一种运用余弦-指数新型非线性混沌映射调制产生强随机、宽间隔脉冲重复间隔信号的方法。然后对新型混沌映射的随机性、复杂性、平衡性和所设计信号的抗分选性能进行仿真。研究结果表明,所设计的新型混沌映射较传统经典的一维映射有更强的随机性、更高的复杂性,设计信号与脉冲重复间隔随机抖动信号相比具有良好的抗分选性能。

关键词: 电子对抗, 射频隐身, 抗分选, 混沌映射, 信号设计

Abstract:

Radio frequency (RF) stealth is one of the research hotspots in radar electronic countermeasures. Anti-sorting signal is one of the main RF stealth signals. The design principle of anti-sorting signals is studied in this paper. After fully considering the tolerance limit of sorting algorithms, a novel method for generating strong random and wide interval PRI values using cosine-exponential modulation is proposed. Simulations on randomness, complexity and balance verify the performance of the proposed chaotic mapping. The anti-sorting ability of the signal is simulated. The results show that the signal designed in this paper exhibits good separation resistance.

Key words: electronic countermeasures, radio frequency stealth, anti-sorting, chaotic mapping, signal design

贾金伟, 韩壮志, 刘利民, 解辉. 基于余弦-指数非线性混沌映射的射频隐身抗分选信号设计技术[J]. 兵工学报, 2023, 44(6): 1846-1857.

JIA Jinwei, HAN Zhuangzhi, LIU Limin, XIE Hui. Design Technology of Radio Frequency Stealth Anti-sorting Signal Based on Cosine-exponential Nonlinear Chaotic Mapping[J]. Acta Armamentarii, 2023, 44(6): 1846-1857.

图/表 13

图1 SDIF信号分选算法

Fig.1 SDIF signal sorting algorithm

图2 本文所提出的混沌映射分岔图和序列点图

Fig.2 The chaotic mapping bifurcation diagram and sequence point diagram proposed in this paper

图3 PRI调制后的多值窄间隔效应图

Fig.3 Plot of multi-valued narrow interval effect after PRI modulation

图4 PRI序列生成流程图

Fig.4 Flow chart of PRI sequence generation

图5 4种混沌映射分岔图

Fig.5 Bifurcation diagrams of four chaotic mappings

图6 不同混沌映射的LE对比

Fig.6 Lyapunov index comparison diagram of different chaotic mappings

表1 4种不同混沌映射的近似熵值随分形系数的变化

Table 1 The approximate entropy of four different chaotic mappings varies with fractal coefficients

r	Logistic映射	Cubic映射	Chebyshev 映射	本文所提映射
0.5	7.2584×10^-7	8.2199×10^-7	2.7641×10^-5	1.4234
1.0	2.0764×10^-5	2.9270×10^-5	0	1.4573
1.5	7.1890×10^-7	0	0.6103	1.5616
2.0	1.8422×10^-7	0.0107	0.7113	1.6279
2.5	8.2893×10^-7	0.60	0.8543	1.5142
3.0	0.0111	1.1301	1.0146	1.5784
3.5	0.0016	0	1.0976	1.5574
4.0	0.70	0	1.2311	1.5136

图7 不同混沌映射的平衡性对比图

Fig.7 Contrast diagram of balance of different chaotic mappings

图8 优化前的PRI序列及相邻PRI的间隔变化

Fig.8 PRI sequence before optimization and the interval change diagram of adjacent PRIs

图9 优化后的PRI序列及相邻PRI的间隔变化

Fig.9 The optimized PRI sequence and the interval variation diagram of adjacent PRIs

图10 信号设计原理仿真验证图

Fig.10 Signal design principle simulation verification diagram

图11 1阶~4阶TOA差值直方图

Fig.11 First-order to fourth-order TOA difference histograms

图12 抗分选性能对比仿真图

Fig.12 Comparison simulation diagram of anti-sorting performance

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