Design Method of Interference Waveform for the Frequency-modulated Continuous Wave Radio Fuze Based on Polynomial Chirplet Transform

doi:10.12382/bgxb.2022.0870

Abstract

Abstract:

Aiming at the urgent needs of linear frequency-modulated fuze jamming technology in the modern battlefield environment, a method of polynomial Chirplet transform is proposed to estimate the signal parameters of frequency-modulated continuous wave (FMCW) radio fuze under low signal-to-noise ratio, and reconstruct the jamming signal for FMCW fuze. Based on the principle of linear wavelet transform, an appropriate kernel function is selected, the radio fuze signal is subjected to short-time Fourier transform after rotation and translation operations, and then the optimal parameters of transform kernel are obtained by genetic algorithm. The parameter estimation of FMCW signal is realized, and the jamming signal is reconstructed. The simulated results show that the proposed method can be used to accurately estimate the carrier frequency, modulation period and maximum frequency offset of FMCW radio fuze signal under a low signal-to-noise ratio, and the reconstructed jamming signal can produce a better jamming effect on FM fuze compared to the periodically modulated interference.

Key words: polynomial Chirplet transform, parameter estimation, frequency-modulated continuous wave, parametric time-frequency analysis, interference reconstruction

CLC Number:

TJ43⁺4.1

YAN Xiaopeng, ZHANG jinyu, HAO Xinhong, LI Jianfeng, DAI Jian. Design Method of Interference Waveform for the Frequency-modulated Continuous Wave Radio Fuze Based on Polynomial Chirplet Transform[J]. Acta Armamentarii, 2024, 45(2): 504-515.

Figures/Tables 14

Fig.1 Radio fuze signal of FMCW system

Fig.2 Time-frequency diagram of LFM wavelet transform

Fig.3 Time-frequency analysis principle of polynomial Chirplet transform

Table 1 Processing gain of FM fuze transceiver correlation channels under interference effect

干扰样式	处理增益表达式
正弦调幅干扰	$k 2 (N, τ) ¯ 4 a N 2$
方波调幅干扰	$(1 + m a 2) k 2 (N, τ) ¯ 4 a N 2 (1 + ∑ n (a J n m a) 2)$
正弦波调频干扰	$k 2 (N, τ) ¯ 2 ∑ n, m (∑ n, m a J n a m) 2$
参数化重构干扰	$k 2 (N, τ) ¯ 2 (N, τ) ¯$

Table 1 Processing gain of FM fuze transceiver correlation channels under interference effect

干扰样式	处理增益表达式
正弦调幅干扰	$k 2 (N, τ) ¯ 4 a N 2$
方波调幅干扰	$(1 + m a 2) k 2 (N, τ) ¯ 4 a N 2 (1 + ∑ n (a J n m a) 2)$
正弦波调频干扰	$k 2 (N, τ) ¯ 2 ∑ n, m (∑ n, m a J n a m) 2$
参数化重构干扰	$k 2 (N, τ) ¯ 2 (N, τ) ¯$

Fig.4 Time-frequency analysis results of polynomial Chirplet transform

Fig.5 Time-frequency image of generated signal

Fig.6 Fitting image of time-frequency ridgeline

Fig.7 Average errors of FM signal parameter estimation of three different methods at different SNRs

Fig.8 Second harmonic detection waveform of FM fuze

Table 2 Similarity coefficient of fuze output signal and echo signal under the action of different jamming signals

调制类型	调制参数	相关系数
调频重构	重构间隔4μs	0.3526
正弦波调幅	调制频率10kHz	0.0417
	调制深度100%
方波调幅	调制频率10kHz	0.0417
	调制深度100%

Table 3 Simulated results of processing gain of FM fuze under the action of jamming signal

干扰样式	干扰信号功率/W	处理增益理论值/dB	处理增益仿真值/dB
正弦调幅干扰	0.5	8.09	8.21
方波调幅干扰	0.5	9.7	9.68
正弦调频干扰	0.5	15.88	15.67
DRFM	0.5	0	0.03
参数化重构干扰	0.5	0	0.11

Fig.9 FM reconstructed jamming signal

Fig.10 Fuze starting under the action of reconstructed jamming signal

Fig.11 Comparison of the minimum jamming powers to activate the fuze under the action of different jamming signals

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