Journal of Jilin University(Engineering and Technology Edition) ›› 2025, Vol. 55 ›› Issue (7): 2434-2443.doi: 10.13229/j.cnki.jdxbgxb.20231089

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Low probability of interception radar waveform design based on joint coding of complementary phase and discrete chaotic frequency

Shun-sheng ZHANG1(),Long DU1,Wen-qin WANG2   

  1. 1.Research Institute of Electronic Science and Technology，University of Electronic Science and Technology of China，Chengdu 611731，China
    2.School of Information and Communication Engineering，University of Electronic Science and Technology of China，Chengdu 611731，China
  • Received:2023-10-11 Online:2025-07-01 Published:2025-09-12

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Abstract:

To reduce the probability of radar radiation signals being detected by enemy passive detection systems， this paper proposes a low-intercept radar waveform design method that employs phase and frequency joint coding. The method utilizes complementary two-phase codes and chaotic sequences to encode the phase and frequency within the pulse based on linear frequency modulation signals. Numerical simulation results show that the designed waveform exhibits pseudo-randomness in the time-frequency domain and improves the low-identification performance. The signal has a very low peak side lobe level after pulse compression， which demonstrates excellent low intercept performance. Its three-dimensional ambiguity function graph shows an ideal "peg shape" with good distance and speed resolution and anti-interference characteristics.

Key words: signal and information processing, low-intercept radar, radio-frequency stealth, complementary codes, chaotic sequence, joint coding

CLC Number: 

  • TN974

Fig.1

Autocorrelation function of complementary codes"

Fig.2

Alternate pulse transmission mode"

Fig.3

Bernoulli mapping"

Fig.4

LFM-CPC-DCFC signal generation flow chart"

Table 1

Signal simulation parameters"

参数参数值
脉冲重复频率/Hz2 500
子脉冲宽度/μs10
带宽/MHz10
频率间隔/MHz1
脉冲个数/个32
子脉冲个数/个32
采样率/MHz84
混沌映射类型Bernoulli映射
混沌映射初值-0.096
混沌映射参数2
混沌序列长度1 024

Fig.5

Spectral characteristics of different signals"

Fig.6

3D time-frequency domain distribution of LFM-CPC-DCFC signal"

Fig.7

Time-frequency domain distribution in a single pulse of LFM-CPC-DCFC signal"

Fig.8

Matched filtering result for LFM-CPC-DCFC signal"

Fig.9

Ambiguity function analysis of LFM-CPC-DCFC signal"

Table 2

Comparison of interception factors"

LPI信号时宽带宽积/（s·Hz）截获因子
LFM-CPC-DCFC8 3300.82
LFM2 9481.06
NLFM1 7661.21
LFM-CPC2 9571.06
LFM-DCFC7 8600.83
文献［1］所设计波形2 9441.06
文献［3］所设计波形4 6180.95

Table 3

Comparison of matched filtering results"

LPI信号PSLL/dB积分旁瓣电平/dB
LFM-CPC-DCFC-40.75-49.85
LFM-13.29-33.28
NLFM-26.90-43.22
LFM-CPC-13.41-41.40
LFM-DCFC-26.40-34.43
文献［1］所设计波形-23.06-35.18
文献［3］所设计波形-28.32-38.96

Fig.10

Intercept probability versus transmit power"

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