Design of pseudo-code phase modulation and LFM composite fuze interference based on Duffing oscillator
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摘要:
针对现代战场伪码调相与线性调频(LFM)复合调制引信干扰技术的迫切需求，在研究伪码调相与线性调频复合调制引信信号激励的Duffing振子输出信号特性的基础上，提出了基于Duffing振子阵列同步性和频率变化关系特性的复合调制引信参数估计方法，并在参数估计的基础上进一步提出了复合调制引信干扰波形的设计方案。在仿真与实验分析中，将基于Duffing振子的参数估计方法与典型复合调制引信信号参数估计方法进行对比，分析了基于所提参数估计方法重构出的干扰信号对复合调制引信的作用效果，并与传统欺骗式干扰方法进行半实物实验对比和验证。仿真与实验结果表明：所提参数估计方法在−35 dB信噪比(SNR)下能得到较高精度的参数估计结果，且重构出的引信干扰信号在−20 dB信噪比下优于其他传统的欺骗式干扰信号。
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关键词:
- 伪码调相与线性调频复合调制引信 /
- Duffing振子 /
- 参数估计 /
- 干扰 /
- 低信噪比
Abstract:This paper proposes a method of estimating the parameters of a composite modulation fuze based on the frequency variation relationship and synchronization of the Duffing oscillator array. This is done by studying the characteristics of the Duffing oscillator output signal that is excited by the signals of the pseudo-code phase modulation and the linear frequency modulation (LFM) composite modulation fuze in order to meet the urgent need for jamming technology in the modern battlefield. Further, this paper proposes a design scheme of jamming waveform of composite modulation fuze based on the parameter estimation method. The parameter estimate approach suggested in this research, based on the Duffing oscillator, is compared to the standard parameter estimation method of composite modulated fuze signal through simulation experiments.Then, the effect of the jamming signal reconstructed on the composite modulation fuze is theoretically analyzed, and the semi-physical experiment is carried out to verify and compare with the traditional deception jamming method. The experimental results show that the parameter estimation method proposed in this paper can still obtain high precision parameter estimation results under −35 dB signal-to-noise ratio (SNR), and the reconstructed fuze jamming signal is superior to the other traditional deception jamming signals under −20 dB SNR.
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图 1 伪码调相与线性调频复合调制引信信号时域波形
Figure 1. Time domain waveform of pseudo-code phase modulation and LFM composite fuze signal
图 2 Duffing振子阵列的Sdf(t)和伪随机序列Sp(t)的时域波形
Figure 2. Time domain waveforms of Sdf(t) and pseudo random sequence Sp(t) of Duffing oscillator array
图 3 Duffing振子与待测信号的差频输出时域波形
Figure 3. Differential frequency output time domain waveforms of Duffing oscillator and signal to be measured
图 4 基于SPWVD、FRFT和Duffing振子方法的码元宽度估计结果
Figure 4. Code width estimation results based on SPWVD, FRFT and Duffing oscillators methods
图 5 基于SPWVD、FRFT和Duffing振子方法的载频估计结果
Figure 5. Carrier frequency estimation results based on SPWVD, FRFT and Duffing oscillators methods
图 6 伪码调相与线性调频复合调制引信相关器输出
Figure 6. Output of pseudo-code phase modulation and LFM composite fuze correlator
表 1 各参数在不同信噪比下的仿真估计结果
Table 1. Simulation estimation results of each parameter under different SNRs
SNR/dB NRMSE 中心频率 调制系数 码元宽度 无噪声 0.000159 0.0024 0.001 −20 0.000615 0.1286 0.0457 −30 0.000788 0.1861 0.104 −35 0.0022 0.2439 0.228 −40 0.107 0.815 0.9635 
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表 2 不同类型干扰信号作用下引信启动最小干扰功率
Table 2. Minimum interference power for fuze activation under different types of interference signals
干扰波形样式 最小启动功率/dBm 正弦波调幅干扰 5 方波调幅干扰 7.3 正弦波调频干扰 3.6 DRFM干扰 0.5 重构式欺骗干扰 −1
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