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http://dx.doi.org/10.3837/tiis.2019.05.012

Direct Position Determination of Coherently Distributed Sources based on Compressed Sensing with a Moving Nested Array  

Yankui, Zhang (National Digital System Engineering and Technological Research R&D Center)
Haiyun, Xu (National Digital System Engineering and Technological Research R&D Center)
Bin, Ba (National Digital System Engineering and Technological Research R&D Center)
Rong, Zong (National Digital System Engineering and Technological Research R&D Center)
Daming, Wang (National Digital System Engineering and Technological Research R&D Center)
Xiangzhi, Li (National Digital System Engineering and Technological Research R&D Center)
Publication Information
KSII Transactions on Internet and Information Systems (TIIS) / v.13, no.5, 2019 , pp. 2454-2468 More about this Journal
Abstract
The existing direct position determinations(DPD) for coherently distributed(CD) sources are mostly applicable for uniform linear array(ULA), which result in a low degree of freedom(DOF), and it is difficult for them to realize the effective positioning in underdetermined condition. In this paper, a novel DPD algorithm for coherently distributed sources based on compressed sensing with a moving nested array is present. In this algorithm, the nested array is introduced to DPD firstly, and a positioning model of signal moving station based on nested array is constructed. Owing to the features of coherently distributed sources, the cost function of compressed sensing is established based on vectorization. For the sake of convenience, unconstrained transformation and convex transformation of cost functions are carried out. Finally, the position coordinates of the distribution source signals are obtained according to the theory of optimization. At the same time, the complexity is analyzed, and the simulation results show that, in comparison with two-step positioning algorithms and subspace-based algorithms, the proposed algorithm effectively solves the positioning problem in underdetermined condition with the same physical element number.
Keywords
Direct position determinations(DPD); Nested array; distributed source; compressed sensing; vectorization;
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1 Xiong W, Picheral J, Marcos S, "Array geometry impact on music in the presence of spatially distributed sources," Digital Signal Processing, vol. 11, pp. 155-163, 2017.   DOI
2 Zheng Z, Li G. Rodrigues, N. Feng and T. Zhu, "Fast DOA estimation of incoherently distributed sources by novel propagator," Multidimensional Systems and Signal Processing, vol. 24, no. 3, pp. 573-581, 2013,   DOI
3 Dai Z L, Cui W J, Ba B, et al., "Two-dimensional direction-of-arrival estimation of coherently distributed noncircular signals via symmetric shift invariance," Acta Phys. Sin, vol. 66, no. 22, pp. 220701-2207011, 2017.
4 Wang D M, Ren Y Q, Lu Z Y, et al., "Direct position determination of the distributed source," Journal of Electronics and Information Technology, vol. 40, no. 2, pp. 371-377, 2018.
5 Zhang Y D, Amin M G, Himed B, "Sparsity-based DOA estimation using co-prime arrays," IEEE International Conference on Acoustics, Speech and Signal Processing. Vancouver, pp. 3967-3971, 2013.
6 Yao Hui, Wu Ying, "A sparse decomposition perspective for incoherently distributed source localization," Journal of circuits and systems, vol. 18, no. 2, pp. 505-509, 2013.
7 Yang Xuemin, Li Guangjun, Zheng Zhi, et al., "Parameters estimation of coherently distributed non-circular signal based on sparse representation," Journal of Electronics and Information Technology, vol. 36, no. 1, pp. 164-168, 2014.
8 Cheng Zengfei, Zhao Yongbo, Shui Penglang, et al. Zhu, "Parameter estimation method of incoherently distributed source via sparse representation," Journal of Electronics and Information Technology, vol. 37, no. 12, pp. 2885-2890, 2015.   DOI
9 Han K, Nehorai A, "Nested array processing for distributed sources," IEEE Signal Processing Letters, vol. 21, no. 9, pp. 1111-1114, 2014.   DOI
10 Guo M, Tao C, Wang B, "An improved DOA estimation approach using coarray interpolation and matrix denoising," IEEE Sensors, vol.17, no. 5, pp.1140-1151, 2017.   DOI
11 Ba B, Liu G C, Li T, et al., "Joint for time of arrival and direction of arrival estimation algorithm based on the subspace of extended hadamard product," Acta Phys. Sin, vol. 64, no. 7, pp. 078403-078413, 2015.
12 Wen C, Shi G, Xie X, "Estimation of directions of arrival of multiple distributed sources for nested array," Signal Processing, vol. 135, pp. 315-322, 2016.
13 Xia W, Xia X, Li H, et al..A "Noise-constrained distributed adaptive direct position determination algorithm," Signal Processing, vol. 135, pp. 9-16, 2017.   DOI
14 Qin S, Zhang Y D, Amin M G, "Generalized coprime array configurations for direction-of-arrival estimation," IEEE Transactions on Signal Processing, vol. 63, no. 6, pp. 1377-1390, 2015.   DOI
15 Liu C L, Vaidyanathan P P, "Cramer-Rao bounds for coprime and other sparse arrays, which find more sources than sensors," Digital Signal Processing, vol. 61, pp. 43-61, 2016.   DOI
16 Pal P, Vaidyanathan P P, "Nested arrays: a novel approach to array processing with enhanced degrees of freedom," IEEE Transactions on Signal Processing, vol. 58, no. 8, pp. 4167-4181, 2010.   DOI
17 Abeida H, Delmas J P, "Direct derivation of the stochastic CRB of DOA estimation for rectilinear sources," IEEE Signal Processing Letters, vol. 24, no. 10, pp. 1522-1526, 2017.   DOI
18 Werner J, Wang J, Hakkarainen A, et al., "Performance and Cramer-Rao bounds for DOA/RSS estimation and transmitter localization using sectorized antennas," IEEE Transactions on Vehicular Technology, vol. 65, no. 5, pp. 3255-3270, 2016.   DOI
19 Stoica P, Nehorai A, "MUSIC maximum likehood and cramer band," IEEE Transactions on Acoustics Speech and Signal Processing, vol. 37, no. 5, pp. 720-741, 1989.   DOI
20 Shen Y, Win M Z, "Fundamental limits of wideband localization-Part I: A general framework," IEEE Transactions on Information Theory, vol. 56, no. 10, pp. 4956-4980, 2010.   DOI
21 Weijiang Wang, Shiwei Ren, Zhiming Chen, "Unified coprime array with multi-period subarrays for direction-of-arrival estimation," Digital Signal Processing, vol.74, pp. 30-42, 2018.   DOI
22 Han Y, Shen Y, Zhang X P, et al., "Performance limits and geometric properties of array localization," IEEE Transactions on Information Theory, vol. 62, no. 2, pp. 1054-1075, 2016.   DOI
23 Wang Y L, Wu Y, Yi S C, "An efficient direct position determination algorithm combined with time delay and Doppler," Circuits Syst Signal Process, vol. 35, no. 2, pp. 635-649, 2016.   DOI
24 Cheng Z, Wang Y, Shen Y, "Direct position determination of multiple targets via reduced-dimension beamspace," in Proc. of IEEE International Conference on Communications Workshops (ICC Workshops), pp: 1030-1035, 2017.
25 J. Yin, D. Wang, Y. Wu and R. Liu, "Direct localization of multiple stationary narrowband sources based on angle and Doppler," IEEE Communications Letters, vol. 21, no. 12, pp. 2630-2633, 2017.   DOI
26 Wang Y, Wu Y, Shen Y, "Multipath effect mitigation by joint spatiotemporal separation in large-scale array localization," in Proc. of GLOBECOM-2017 IEEE Global Communications Conference, pp 1-6, 2017.
27 L. Wan, G. Han, J. Jiang, J. J. P. C. Rodrigues, N, "Feng and T. Zhu. DOA estimation for coherently distributed sources considering circular and noncircular signals in massive MIMO systems," IEEE Systems Journal, vol. 11, no. 1, pp. 41-49, 2017.   DOI
28 F. Wen, W. Xie, X. Chen, P. Liu, "DOA Estimation for noncircular sources with multiple noncoherent subarrays," IEEE Communications Letters, vol. 21, no. 8, pp. 1783-1786, 2017.   DOI