Design Technology of Radio Frequency Stealth Anti-sorting Signal Based on Cosine-exponential Nonlinear Chaotic Mapping

doi:10.12382/bgxb.2022.0201

Abstract

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

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.

Figures/Tables 13

Fig.1 SDIF signal sorting algorithm

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

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

Fig.4 Flow chart of PRI sequence generation

Fig.5 Bifurcation diagrams of four chaotic mappings

Fig.6 Lyapunov index comparison diagram of different chaotic mappings

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

Fig.7 Contrast diagram of balance of different chaotic mappings

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

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

Fig.10 Signal design principle simulation verification diagram

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

Fig.12 Comparison simulation diagram of anti-sorting performance

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