面向非圆信号的四阶累积量直接定位方法

doi:10.12305/j.issn.1001-506X.2023.09.06

Abstract

Abstract:

To solve the problems of insufficient aperture expansion and data redundancy of the existing direct position determination (DPD) based on fourth-order accumulation, a fourth-order cumulative direct positioning method for the noncircular signal with maximum noncircularity rate is proposed. Based on the positioning scenario of the mobile array observing the target in multiple time slots, this method constructs a series of de-redundant fourth-order cumulative matrices. It combines the non-circular characteristics of the radiation source signal and uses the array receiving data and conjugate data to form an extended data model, which realizes the array aperture expansion and increases the equivalent array element number, thereby improving the positioning performance and rapidly extracting the redundant data through reconstruction, which greatly reduces the matrix operation dimension. Due to the combination of the fourth-order cumulative quantity and non-circular characteristics of the signal, the algorithm is suitable for complex environments where the number of sources is greater than the number of array elements and the pattern color noise. Theoretical analysis and simulation results show that the algorithm has the advantages of small computation amount, high estimation accuracy and high resolution, and can reach the corresponding Cramer-Rao bound (CRB) under high signal-to-noise ratio conditions.

Key words: direct position determination (DPD), fourth-order cumulant, signal with maximum noncircularity rate, single moving observer

CLC Number:

TN911.7

Jie DENG, Jiexin YIN, Bin YANG. Direct position determination method of fourth-order cumulant for noncircular signals[J]. Systems Engineering and Electronics, 2023, 45(9): 2690-2697.

Figures/Tables 8

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References 32

1	TRINH-HOANG M , VIBERG M , PESAVENTO M . Partial relaxation approach: an eigenvalue-based DOA estimator framework[J]. IEEE Trans.on Signal Processing, 2018, 66 (23): 6190- 6203. doi: 10.1109/TSP.2018.2875853
2	HO K C . Bias reduction for an explicit solution of source localization using TDOA[J]. IEEE Trans.on Signal Processing, 2012, 60 (5): 2101- 2114. doi: 10.1109/TSP.2012.2187283
3	WANG G , LI Y M , ANSARI N . A semidefinite relaxation method for source localization using TDOA and FDOA measurements[J]. IEEE Trans.on Vehicular Technology, 2012, 62 (2): 853- 862.
4	HU D X , HUANG Z , CHEN X , et al. A moving source localization method using TDOA, FDOA and Doppler rate measurements[J]. IEICE Trans.on Communications, 2016, 99 (3): 758- 766.
5	ZHANG S X , XING M D . A novel Doppler chirp rate and baseline estimation approach in the time domain based on weighted local maximum-likelihood for an MC-HRWS SAR system[J]. IEEE Geoscience and Remote Sensing Letters, 2017, 14 (3): 299- 303. doi: 10.1109/LGRS.2016.2633359
6	WEISS A J . Direct position determination of narrowband radio frequency transmitters[J]. IEEE Signal Processing Letters, 2004, 11 (5): 513- 516. doi: 10.1109/LSP.2004.826501
7	OISPUU M , NICKEL U . Direct detection and position determination of multiple sources with intermittent emission[J]. Signal Processing, 2010, 90 (12): 3056- 3064. doi: 10.1016/j.sigpro.2010.05.010
8	XIA N , XING B H . A direct localization method for HF source geolocation and experimental results[J]. IEEE Antennas and Wireless Propagation Letters, 2021, 20 (5): 728- 732. doi: 10.1109/LAWP.2021.3061507
9	WANG C , WANG D , GAO L , et al. Direct position determination with single sensor based on signal periodicity[J]. Mathematical Problems in Engineering, 2021, 6649287.
10	WANG D , WU Y . Statistical performance analysis of direct position determination method based on Doppler shifts in pre-sence of model errors[J]. Multidimensional Systems and Signal Processing, 2017, 28 (1): 149- 182. doi: 10.1007/s11045-015-0338-3
11	WU M , YAN S F , LIU S Y . Direct position determination with phase error compensation for multiple targets using spatial sparsity[J]. Measurement Science and Technology, 2021, 32 (8): 084018. doi: 10.1088/1361-6501/abe9dc
12	HAO K G , WAN Q . Sparse Bayesian inference-based direct off-grid position determination in multipath environments[J]. IEEE Wireless Communications Letters, 2021, 10 (6): 1148- 1152. doi: 10.1109/LWC.2021.3057502
13	LI S J , ZHANG Q Y , DENG B Y , et al. A fast and accurate LEO satellite-based direct position determination assisted by TDOA measurements[J]. China Communications, 2022, 19 (1): 92- 103. doi: 10.23919/JCC.2022.01.008
14	WU G Z , ZHANG M , GUO F C . High-resolution direct position determination based on eigenspace using a single moving ULA[J]. Signal, Image and Video Processing, 2019, 13 (5): 887- 894. doi: 10.1007/s11760-019-01425-4
15	尹洁昕. 基于阵列信号的目标直接定位方法研究[D]. 郑州: 信息工程大学, 2018.
	YIN J X. Research on direct target location method based on array signal[D]. Zhengzhou: Information Engineering University, 2018.
16	XIE J, WANG L, ZHANG W, et al. Direction finding algorithm for noncircular signals in the presence of unknown mutual coupling[C]//Proc. of the USNC-URSI Radio Science Meeting, 2018: 47-48.
17	WANG G B , ZHAO P Y , WANG L M , et al. A two-dimensional DOA estimation method based on virtual extension of sparse array[J]. Journal of Electrical and Computer Engineering, 2021, (5): 1654836.
18	尹洁昕. 基于非圆信号的阵列误差自校正算法研究[D]. 郑州: 信息工程大学, 2014.
	YIN J X. Research on array error self-correction algorithm based on non-circular signal[D]. Zhengzhou: Information Engineering University, 2014.
19	YIN J X , WU Y , WANG D . Direct position determination of multiple noncircular sources with a moving array[J]. Circuits, Systems, and Signal Processing, 2017, 36 (10): 4050- 4076. doi: 10.1007/s00034-017-0499-4
20	YIN J X , WANG D , WU Y , et al. ML-based single-step estimation of the locations of strictly noncircular sources[J]. Digital Signal Processing, 2017, 69, 224- 236. doi: 10.1016/j.dsp.2017.06.024
21	LI Z , SHEN J Q , ZHAI H , et al. 3-D localization for near-field and strictly noncircular sources via centro-symmetric cross array[J]. IEEE Sensors Journal, 2021, 21 (6): 8432- 8440. doi: 10.1109/JSEN.2020.3048713
22	YIN J X , WANG D , NIE F Q , et al. Single-step geolocation for a non-circular source in the presence of satellite orbit perturbations[J]. IET Signal Processing, 2022, 16 (2): 170- 200. doi: 10.1049/sil2.12083
23	BIALER O, RAPHAELI D, WEISS A J. Robust time-of-arrival estimation in multipath channels with OFDM signals[C]//Proc. of the 25th European Signal Processing Conference, 2017: 2724-2728.
24	HAO K G , WAN Q . Importance sampling based direct maximum likelihood position determination of multiple emitters using finite measurements[J]. Signal Processing, 2021, 186, 108111. doi: 10.1016/j.sigpro.2021.108111
25	DEMISSIE B, OISPUU M, RUTHOTTO E. Localization of multiple sources with a moving array using subspace data fusion[C]//Proc. of the 11th International Conference on Information Fusion, 2008.
26	DU J P , YU H Y , WANG D , et al. Unified subspace fitting framework and its performance analysis for direct position determination in the presence of multipath propagation[J]. IEEE Access, 2019, 7, 6889- 6914. doi: 10.1109/ACCESS.2018.2889958
27	LIAO B , CHAN S C . A cumulant-based approach for direction finding in the presence of mutual coupling[J]. Signal Processing, 2014, 104, 197- 202. doi: 10.1016/j.sigpro.2014.04.013
28	吴癸周, 张敏, 郭福成, 等. 基于改进的高阶累积量的运动单站高分辨率直接定位方法[J]. 航天电子对抗, 2019, 35 (5): 12- 16.
	WU K Z , ZHANG M , GUO F C , et al. An improved high-order cumulant based single-station high resolution direct positioning method[J]. Aerospace Electronic Countermeasures, 2019, 35 (5): 12- 16.
29	WAX M , KAILATH T . Detection of signals by information theoretic criteria[J]. IEEE Trans.on Acoust Speech and Signal Processing, 1985, 33 (2): 387- 392. doi: 10.1109/TASSP.1985.1164557
30	郭雪妍. 基于高阶累积量的空间谱估计算法研究[D]. 哈尔滨: 哈尔滨工程大学, 2012.
	GUO X Y. Research on spatial spectrum estimation algorithm based on higher-order cumulant[D]. Harbin: Harbin Engineering University, 2012.
31	刘剑, 黄知涛, 周一宇. 基于四阶累积量的非圆信号测向方法[J]. 电子与信息学报, 2008, 30 (4): 876- 880.
	LIU J , HUANG Z T , ZHOU Y Y . Noncircular signal direction finding method based on fourth order cumulant[J]. Journal of Electronics and Information Technology, 2008, 30 (4): 876- 880.
32	ABEIDA H , DELMAS J P . Statistical performance of MUSIC-like algorithms in resolving noncircular sources[J]. IEEE Trans.on Signal Processing, 2008, 56 (9): 4317- 4329. doi: 10.1109/TSP.2008.924143

算法	平均运行时间
两步定位算法	0.095
RNCHOC算法	2.696
NCHOC算法	1.284

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Direct position determination method of fourth-order cumulant for noncircular signals

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