时变参数下信息映射LPI通信波形

doi:10.12305/j.issn.1001-506X.2023.05.30

摘要/Abstract

摘要：

以二进制正交键控(binary orthogonal keying, BOK)为传统方法调制Chirp信号的检测手段日益丰富, 针对常用时频分析手段分数阶傅里叶变换和短时傅里叶变换对Chirp信号的高破译性问题, 提出了一种将信息映射到Chirp信号时域的新型调制方式, 即时变-信息映射(time varying-information mapping, TVIM)调制, 通过构建时域携带信息的调制模式, 解决了周期能量聚敛特性, 增加了以BOK为检测思想的信息干扰, 加强了波形的低截获概率(low probability of intercept, LPI)。以数学推导和仿真分析的方法, 探究了新型调制方式的误码特性、时频分析下LPI特性及先验信息抗破译性。理论分析和仿真验证表明, TVIM调制架构下, 可保证比特信噪比在13 dB前误码率达到10^-4, 并提高了波形LPI性能。

关键词: 低截获概率, 时频分析, 误码特性, 时变-信息映射调制

Abstract:

The detection methods of modulating Chirp signal by traditional methods such as binary orthogonal keying (BOK) are becoming more and more abundant. Aiming at the high deciphering of Chirp signal by common time-frequency analysis methods: fractional Fourier transform and short-time Fourier transform, a new modulation method mapping information to Chirp signal time domain is proposed, time varying-information mapping (TVIM) modulation. By constructing the modulation mode carrying information in time domain, it solves the characteristics of periodic energy convergence, increases the information interference based on the detection ideas of BOK, and strengthens the low probability of intercept (LPI) of waveform. By means of mathematical derivation and simulation analysis, the bit error characteristics of the new modulation mode, the LPI characteristics under time-frequency analysis and the anti decoding of a priori information are explored. Theoretical analysis and simulation results show that under the TVIM modulation architecture, the bit error rate can reach 10^-4 before 13 dB, and the waveform LPI performance is improved.

Key words: low probability of intercept (LPI), time-frequency analysis, bit error characteristics, time varying-information mapping (TVIM) modulation

中图分类号:

TN911.6

宁晓燕, 李书凯, 王震铎, 赵东旭. 时变参数下信息映射LPI通信波形[J]. 系统工程与电子技术, 2023, 45(5): 1526-1534.

Xiaoyan NING, Shukai LI, Zhenduo WANG, Dongxu ZHAO. Information mapping LPI communication waveform under time-varying parameters[J]. Systems Engineering and Electronics, 2023, 45(5): 1526-1534.

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参考文献 31

1	MOBASSERI B G, PHAM K D. Chirp spread spectrum performance in low probability of intercept theater[C]//Proc. of the IEEE Military Communications Conference, 2018: 329-335.
2	SAVCI K , GALATI G , PAVAN G . Low-PAPR waveforms with shaped spectrum for enhanced low probability of intercept noise radars[J]. Remote Sensing, 2021, 13 (12): 2372. doi: 10.3390/rs13122372
3	SIEFKER R G . The intercept of covert radar[J]. Military Electronics/Countermeasures, 1979, 5, 56- 94.
4	XIAO Z L , YAN Z Y . Radar emitter identification based on novel time-frequency spectrum and convolutional neural network[J]. IEEE Communications Letters, 2021, 25 (8): 2634- 2638. doi: 10.1109/LCOMM.2021.3084043
5	CHENG J S , ZHENG J D , YANG Y S . A nonstationary signal analysis approach—the local characteristic-scale decomposition method[J]. Journal of Vibration Engineering, 2012, 25 (2): 215- 220.
6	GARDNER W A , NAPOLITANO A , PAURA L . Cyclostationarity: half a century of research[J]. Signal Processing, 2006, 86 (4): 639- 697. doi: 10.1016/j.sigpro.2005.06.016
7	NAMIAS V . The fractional order Fourier transform and its application to quantum mechanics[J]. Geoderma, 1980, 25 (3): 241- 265.
8	OZAKTAS H M , ARIKAN O , KUTAY M A , et al. Digital computation of the fractional Fourier transform[J]. IEEE Trans.on Signal Processing, 1996, 44 (9): 2141- 2150. doi: 10.1109/78.536672
9	YUAN F , WEI Q , CHENG E . Multiuser chirp modulation for underwater acoustic channel based on VTRM[J]. International Journal of Naval Architecture & Ocean Engineering, 2017, 9 (3): 256- 265.
10	刘利民, 李豪欣, 李琦, 等. 基于分数阶傅里叶变换的低信噪比线性调频信号参数快速估计算法[J]. 电子与信息学报, 2021, 43 (10): 2798- 2804. doi: 10.11999/JEIT200973
	LIU L M , LI H X , LI Q , et al. A fast signal parameter estimation algorithm for linear frequency modulation signal under low signal-to-noise ratio based on fractional Fourier transform[J]. Journal of electronics and Information Technology, 2021, 43 (10): 2798- 2804. doi: 10.11999/JEIT200973
11	LIU X L , XIAO B , WANG C Y . Frequency estimation of chirp signals based on fractional Fourier transform combined with Otsu's method[J]. Optik, 2021, 240, 166945. doi: 10.1016/j.ijleo.2021.166945
12	CHUI C K , JIANG Q T , LI L , et al. Analysis of an adaptive short-time Fourier transform-based multicomponent signal separation method derived from linear chirp local approximation[J]. Journal of Computational and Applied Mathematics, 2021, 396 (1971): 113607.
13	谢岸宏, 朱立东, 翟继强, 等. 一种抗盲检测的直扩隐蔽信号设计方法[J]. 电子学报, 2018, 46 (12): 2817- 2823. doi: 10.3969/j.issn.0372-2112.2018.12.001
	XIE A H , ZHU L D , ZHAI J Q , et al. A method of designing covert DSSS-signal for anti-blind detection[J]. Acta Electronica Sinica, 2018, 46 (12): 2817- 2823. doi: 10.3969/j.issn.0372-2112.2018.12.001
14	SATO H , OHTSUKI T . Frequency domain channel estimation and equalisation for direct sequence ultra wideband (DS-UWB) system[J]. IEE Proceedings-Communications, 2006, 153 (1): 93- 98. doi: 10.1049/ip-com:20050328
15	FANG X J , ZHANG N , ZHANG S , et al. On physical layer security: weighted fractional Fourier transform based user cooperation[J]. IEEE Trans.on Wireless Communications, 2017, 16 (8): 5498- 5510. doi: 10.1109/TWC.2017.2712158
16	FANG X J , SHA X J , LI Y . Secret communication using para-llel combinatory spreading WFRFT[J]. IEEE Communications Letters, 2015, 19 (1): 62- 65. doi: 10.1109/LCOMM.2014.2359200
17	FANG X J , SHA X J , LI Y . MP-WFRFT and constellation scrambling based physical layer security system[J]. China Communications, 2016, 13 (2): 138- 145.
18	张晓彤, 孙志国, 宁晓燕, 等. LPD通信波形设计方案及其性能分析[J]. 哈尔滨工程大学学报, 2018, 39 (8): 1409- 1414.
	ZHANG X T , SUN Z G , NING X Y , et al. LPD communication waveform design and performance analysis[J]. Journal of Harbin Engineering University, 2018, 39 (8): 1409- 1414.
19	张晓彤, 李书凯, 孙志国, 等. 时宽波形基联合捷变的LPD通信波形[J]. 系统工程与电子技术, 2020, 42 (12): 2884- 2891.
	ZHANG X T , LI S K , SUN Z G , et al. LPD communication waveform of joint time width waveform agility[J]. Systems Engineering and Electronics, 2020, 42 (12): 2884- 2891.
20	WANG X W, FEI M R, LI X. Performance of chirp spread spectrum in wireless communication systems[C]//Proc. of the IEEE Singapore International Conference on Communication Systems, 2009: 466-469.
21	NGUYEN T T , NGUYEN H H , BARTON R , et al. Efficient design of chirp spread spectrum modulation for low-power wide-area networks[J]. IEEE Internet of Things Journal, 2019, 6 (6): 9503- 9515.
22	KIM K Y , SHIN Y . Analysis on cross-correlation coefficient for survivability of chirp spread spectrum systems[J]. IEEE Trans.on Information Forensics and Security, 2020, 15, 1959- 1967.
23	LUO Y R , ZHANG L , RUAN H . An acquisition algorithm based on FRFT for weak GNSS signals in a dynamic environment[J]. IEEE Communications Letters, 2020, 22 (6): 1212- 1215.
24	ZHANG C W , SHI J , ZHANG Z M , et al. FRFT-based interference suppression for OFDM systems in IoT environment[J]. IEEE Communications Letters, 2019, 23 (11): 2068- 2072.
25	PEI S C, HUANG S G. Adaptive STFT with chirp-modulated Gaussian window[C]//Proc. of the IEEE International Conference on Acoustics, Speech and Signal Processing, 2018: 4354-4358.
26	CHANG T Q, ZHOU Z Z. A spectral method for periodic estimation of the PN sequences in lower SNR DS-CDMA signals[C]//Proc. of the IEEE International Conference, 2002: 506-510.
27	IEEE Standard for Information Technology. Local and metropolitan area networks-specific requirements-part 3: CSMA/CD access method and physical layer specifications amendment 3: data terminal equipment (DTE) power via the media dependent interface (MD)[S]. New York: IEEE, 2009.
28	KIM K , LEE S , KIM Y , et al. Multiple linear chirp based transmission scheme for IEEE 802.15.4 a chirp spread spectrum[J]. Journal of Korean Institute of Communications & Information Sciences, 2015, 40 (10): 1937- 1939.
29	WEI D , LI Y M . Generalized sampling expansions with multiple sampling rates for lowpass and bandpass signals in the fractional Fourier transform domain[J]. IEEE Trans.on Signal Processing, 2016, 64 (18): 4861- 4874.
30	MENG X Y , TAO R , WANG Y . Generalized design method of multirate filter banks in the fractional Fourier domain[J]. Acta Electronica Sinica, 2009, 37 (9): 2046- 2051.
31	MA J M , TAO R . Research progress of the sampling theorem associated with the fractional Fourier transform[J]. Joural of Beijing Institute of Technology, 2021, 30 (3): 195- 204.

波形基	x₀(t), x₁(t)	x₁(t)
信息时宽映射集	T_b=0	T_b=1
波形选择控制字	C	${\bar C}$
m序列控制字	2m(x)-1, x∈[0, 1]	2m(y)-1, y∈[0, 1]
带宽	B	B
时宽带宽积	D₁=BT₁	D₂=BT₂

调制方式	检测信噪比/dB
定时宽BOK调制	-7
TVIM调制	5

T₁/ms	T₂/ms	Δα=α₂-α₁/(°)	精度/(°)
1	0.95	2.8×10^-8	1×10^-8
	0.90	5.7×10^-8	1×10^-8
	0.85	8.6×10^-8	1×10^-8
	0.80	1.1×10^-7	1×10^-7
	0.75	1.4×10^-7	1×10^-7

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