基于LFM-Costas-BPSK脉内复合调制的低截获雷达波形设计

doi:10.12305/j.issn.1001-506X.2025.12.12

摘要/Abstract

摘要：

现有脉内复合调制波形存在调制方式简单、自相关旁瓣电平高的不足，致使发射波形在应用中易被截获且对弱目标检测性能较差。针对上述问题，在线性调频（linear frequency modulation, LFM）-Costas雷达波形中引入二相编码（binary phase shift keying, BPSK），设计了LFM-Costas-BPSK 波形。一方面，降低了子脉冲间的相关性从而有效抑制了自相关旁瓣电平；另一方面，提高了波形复杂度，因而降低了被截获概率。仿真实验分析了关键参数对波形性能的影响，验证了所设计的LFM-Costas-BPSK波形的有效性。

关键词: 低截获概率, 脉内复合调制, 旁瓣电平, 线性调频-Costas-二相编码

Abstract:

Existing intra-pulse composite modulation waveforms have the disadvantages of relatively simple modulation methods and high autocorrelation sidelobe levels. These issues make the transmitted waveforms more susceptible to interception and result in poor detection performance for weak targets. To address the aforementioned issues, binary phase shift keying （BPSK） is introduced into the linear frequency modulation （LFM）-Costas radar waveform, designing the LFM-Costas-BPSK waveform. On the one hand, it reduces the correlation between sub-pulses, effectively suppressing autocorrelation sidelobe level. On the other hand, it increases waveform complexity, thereby reducing the probability of interception. The simulation experiments analyses the impact of key parameters on the waveform’s performance, and verifies the effectiveness of the designed LFM-Costas-BPSK waveform.

Key words: low probability of intercept, intra-pulse composite modulation, sidelobe level, linear frequency modulation （LFM）-Costas-binary phase shift keying（BPSK）

中图分类号:

TN 973

尹子明, 郭鹏程, 王晶晶, 高思哲. 基于LFM-Costas-BPSK脉内复合调制的低截获雷达波形设计[J]. 系统工程与电子技术, 2025, 47(12): 4101-4109.

Ziming YIN, Pengcheng GUO, Jingjing WANG, Sizhe GAO. Design of low intercept radar waveform based on LFM-Costas-BPSK intra-pulse hybrid modulation[J]. Systems Engineering and Electronics, 2025, 47(12): 4101-4109.

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参数	取值
脉冲宽度T/μs	8
子脉冲个数（Costas编码位数）M	8
子脉冲宽度${T_{{\mathrm{sub}}}}$/μs	1
子脉冲内码元个数N	10
子脉冲内码元宽度${T_c}$/μs	0.1
子脉冲带宽${B_{{\mathrm{sub}}}}$/MHz	18
子脉冲跳频间隔$\Delta f$/MHz	3

Costas序列长度	旁瓣电平
6	−16.9605
8	−18.0148
10	−19.2251
12	−19.9159
16	−20.8499

BPSK长度	旁瓣电平均值/dB	旁瓣电平方差
10	−17.2630	2.0422
20	−18.6134	1.6156
40	−19.9161	1.4531
80	−21.5639	0.6501

目标径向速度/（m/s）	脉压损失/dB
0	0
±10	8.69×10⁻⁴
±100	4.09×10⁻²
±300	0.37
±500	1.04
±1000	4.54
±1500	12.61

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