跳频信号的相参与非相参积累时频差估计方法

doi:10.12305/j.issn.1001-506X.2021.05.04

Abstract

Abstract:

The carrier frequency of frequency-hopping (FH) signals varies with time, therefore, the FH signals have broad distribution in frequency. And FH signals are continuous in time domain, which have broader distribution in time domain compared to single hop signal. The estimation accuracy of time difference of arrival (TDOA) and frequency difference of arrival (FDOA) is determined by the frequency distribution or time distribution and energy of signal and noise. The TDOA estimation is mainly depended by the frequency distribution, while the FDOA estimation is mainly depended by the time distribution. FH signals have broad distribution in frequency and time domain, the problem of low estimation accuracy for TDOA and FDOA of single hop signal can be overcome through multi-hop coherent integration to improve the use of information in time and frequency domain. Focus on the TDOA/FDOA estimation problem of FH signals, firstly, the cross ambiguity function (CAF) of single hop baseband signal is analyzed, then, the phase difference of each CAF for the multi hop baseband signal is analyzed through TDOA and FDOA dimensions. Coherent integration TDOA/FDOA estimation method of CAF for multi-FH signals is realized by FDOA normalized compensation and phase compensation. When the coherent integration requirements are not satisfied, the non-coherent TDOA/FDOA estimation method of FH signals is proposed. The relationship between performance of two TDOA/FDOA estimation method for FH signals and each parameter for signal are analyzed theoretically. Simulation results show that the performance of proposed coherent integration TDOA/FDOA estimation method for FH signals is best, and the non-coherent integration method is suboptimal, while that of single hop signal is poorest, which proves the correctness of the theory analysis.

Key words: frequency-hopping (FH), time difference of arrival (TDOA), frequency difference of arrival (FDOA), coherent integration

CLC Number:

TN97

Xinxin OUYANG, Shanfeng YAO, Yuxiang YANG, Qing HE, Qun WAN. Coherent and non-coherent integration TDOA/FDOA estimation method of frequency-hopping signals[J]. Systems Engineering and Electronics, 2021, 43(5): 1184-1190.

Figures/Tables 2

References 20

1	LIU X Q , SIDIROPOULOS N D , SWAMI A . Blind high-resolution localization and tracking of multiple frequency hopped signals[J]. IEEE Trans.on Signal Processing, 2002, 50 (4): 889- 901. doi: 10.1109/78.992136
2	LIU N , XU Z , SADLER B M . Ziv-Zakai time-delay estimation bounds for frequency-hopping waveforms under frequency-selective fading[J]. IEEE Trans.on Signal Processing, 2010, 58 (12): 6400- 6406. doi: 10.1109/TSP.2010.2068547
3	欧阳鑫信. 跳频信号时差估计与直接定位方法研究[D]. 成都: 电子科技大学, 2017.
	OUYANG X X. Research on time difference of arrival estimation and direct position determination for frequency-hopping signals[D]. Chengdu: University of Electronic Science and Technology of China, 2017.
4	OUYANG X X , WAN Q , CAO J M , et al. Direct TDOA geolocation of multiple frequency-hopping emitters in flat fading channels[J]. IET Signal Processing, 2017, 11 (1): 80- 85. doi: 10.1049/iet-spr.2016.0299
5	欧阳鑫信, 万群, 曹景敏, 等. 跳频信号的时差直接定位[J]. 电子学报, 2017, 45 (4): 820- 825.
	OUYANG X X , WAN Q , CAO J M , et al. TDOA-based direct geolocation of frequency-hopping signals[J]. Acta Electronica Sinica, 2017, 45 (4): 820- 825.
6	姚山峰, 欧阳鑫信, 贺青. 窄带跳频信号的无模糊时差估计算法[J]. 电子学报, 2019, 47 (4): 798- 805. doi: 10.3969/j.issn.0372-2112.2019.04.005
	YAO S F , OUYANG X X , HE Q . Unambiguous TDOA estimation algorithm of narrowband frequency hopping signal[J]. Acta Electronica Sinica, 2019, 47 (4): 798- 805. doi: 10.3969/j.issn.0372-2112.2019.04.005
7	欧阳鑫信, 万群, 熊瑾煜, 等. 慢跳跳频信号的时差估计方法[J]. 现代雷达, 2016, 38 (2): 19- 22.
	OUYANG X X , WAN Q , XIONG J Y , et al. TDOA estimation of slow-hopping FH signal[J]. Modern Radar, 2016, 38 (2): 19- 22.
8	欧阳鑫信, 贺青. 基于CZT的多子带信号时差估计方法[J]. 现代雷达, 2019, 41 (2): 31- 34.
	OUYANG X X , HE Q . TDOA estimation for multi-band signal based on CZT[J]. Modern Radar, 2019, 41 (2): 31- 34.
9	YANG L , HO K C . An approximately efficient TDOA localization algorithm in closed-form for locating multiple disjoint sources with erroneous sensor positions[J]. IEEE Trans.on Signal Processing, 2009, 57 (12): 4598- 4615. doi: 10.1109/TSP.2009.2027765
10	姚山峰, 贺青, 欧阳鑫信, 等. 一种低轨双星雷达信号无模糊频差估计算法[J]. 宇航学报, 2018, 39 (11): 1275- 1283.
	YAO S F , HE Q , OUYANG X X , et al. A novel method for unambiguous DFO estimation of radar signals in LEO dual-satellite geolocation system[J]. Journal of Astronautics, 2018, 39 (11): 1275- 1283.
11	欧阳鑫信, 杨宇翔, 姚山峰, 等. 基于CAF相参积累的多载波信号时频差估计算法[J]. 系统工程与电子技术, 2019, 41 (8): 1881- 1886.
	OUYANG X X , YANG Y X , YAO S F , et al. TDOA/FDOA estimation algorithm of multi-carrier signals based on CAF coherent integration[J]. Systems Engineering and Electronics, 2019, 41 (8): 1881- 1886.
12	欧阳鑫信, 杨宇翔, 贺青, 等. 多载波基带信号相参时差估计算法与性能分析[J]. 信号处理, 2019, 35 (8): 1308- 1313.
	OUYANG X X , YANG Y X , HE Q , et al. Coherent integration TDOA estimation algorithm and analysis of multi-carrier baseband signals[J]. Journal of Signal Processing, 2019, 35 (8): 1308- 1313.
13	KIM Y H , KIM D G , KIM H N . Two-step estimator for mo-ving-emitter geolocation using time difference of arrival/frequency-difference of arrival measurements[J]. IET Radar, Sonar & Navigation, 2015, 9 (7): 881- 887.
14	WEN F , WAN Q . Maximum likelihood and signal-selective TDOA estimation for noncircular signals[J]. Journal of Communications and Networks, 2013, 15 (3): 245- 251. doi: 10.1109/JCN.2013.000046
15	STEIN S . Algorithms for ambiguity function processing[J]. IEEE Trans.on Acoustics, Speech, and Signal Processing, 1981, 29 (3): 588- 599. doi: 10.1109/TASSP.1981.1163621
16	WANG J, XU Y, XU P. A linear method for TDOA estimation of frequency-hopping signal[C]//Proc. of the International Conference on Wireless Communications, Networking and Mobile Computing, 2012.
17	GOETZ A, ROSE R, ZORN S, et al. A wideband cross correlation technique for high precision time delay estimation of frequency hopping GSM signals[C]//Proc. of the 41st European Microwave Conference, 2011: 33-36.
18	OUYANG X X, WAN Q, XIONG J Y, et al. Cramer-Rao bound of TDOA estimation for frequency-hopping signals in fading channels[C]//Proc. of the IEEE China Signal & Information Processing, 2015: 1032-1036.
19	HU D X, HUANG Z, LIANG K Q. Coherent TDOA/FDOA estimation method for frequency-hopping signal[C]//Proc. of the 8th International Conference on Wireless Communications & Signal Processing, 2016.
20	胡来招. 信号的协同[M]. 北京: 国防工业出版社, 2015: 10- 14.
	HU L Z . Collaboration upon the signal[M]. Beijing: National Defense Industry Press, 2015: 10- 14.

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Coherent and non-coherent integration TDOA/FDOA estimation method of frequency-hopping signals

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