Efficient tensor decomposition method for noncircular source in colocated coprime MIMO radar

doi:10.1088/1674-1056/ab81f6

中国物理B ›› 2020, Vol. 29 ›› Issue (5): 54304-054304.doi: 10.1088/1674-1056/ab81f6

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Efficient tensor decomposition method for noncircular source in colocated coprime MIMO radar

Qian-Peng Xie(谢前朋), Xiao-Yi Pan(潘小义), Shun-Ping Xiao(肖顺平)

National University of Defense Technology, Changsha 410073, China

收稿日期:2019-12-04 修回日期:2020-02-02 出版日期:2020-05-05 发布日期:2020-05-05
通讯作者: Xiao-Yi Pan E-mail:mrpanxy@nudt.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61701507, 61890542, and 61890540).

Efficient tensor decomposition method for noncircular source in colocated coprime MIMO radar

Qian-Peng Xie(谢前朋), Xiao-Yi Pan(潘小义), Shun-Ping Xiao(肖顺平)

National University of Defense Technology, Changsha 410073, China

Received:2019-12-04 Revised:2020-02-02 Online:2020-05-05 Published:2020-05-05
Contact: Xiao-Yi Pan E-mail:mrpanxy@nudt.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61701507, 61890542, and 61890540).

摘要/Abstract

摘要： An effective method via tensor decomposition is proposed to deal with the joint direction-of-departure (DOD) and direction-of-arrival (DOA) estimation of noncircular sources in colocated coprime MIMO radar. By decomposing the transmitter and receiver into two sparse subarrays, noncircular property of source can be used to construct new extended received signal model for two sparse subarrays. The new received model can double the virtual array aperture due to the elliptic covariance of imping sources is nonzero. To further exploit the multidimensional structure of the noncircular received model, we stack the subarray output and its conjugation according to mode-1 unfolding and mode-2 unfolding of a third-order tensor, respectively. Thus, the corresponding extended tensor model consisted of noncircular information for DOA and DOD can be obtained. Then, the higher-order singular value decomposition technique is utilized to estimate the accurate signal subspace and angular parameter can be automatically paired via the rotational invariance relationship. Specifically, the ambiguous angle can be eliminated and the true targets can be achieved with the aid of the coprime property. Furthermore, a closed-form expression for the deterministic CRB under the NC sources scenario is also derived. Simulation results verify the superiority of the proposed estimator.

关键词: colocated coprime MIMO radar, noncircular signal, tensor decomposition, DOD and DOA estimation

Abstract: An effective method via tensor decomposition is proposed to deal with the joint direction-of-departure (DOD) and direction-of-arrival (DOA) estimation of noncircular sources in colocated coprime MIMO radar. By decomposing the transmitter and receiver into two sparse subarrays, noncircular property of source can be used to construct new extended received signal model for two sparse subarrays. The new received model can double the virtual array aperture due to the elliptic covariance of imping sources is nonzero. To further exploit the multidimensional structure of the noncircular received model, we stack the subarray output and its conjugation according to mode-1 unfolding and mode-2 unfolding of a third-order tensor, respectively. Thus, the corresponding extended tensor model consisted of noncircular information for DOA and DOD can be obtained. Then, the higher-order singular value decomposition technique is utilized to estimate the accurate signal subspace and angular parameter can be automatically paired via the rotational invariance relationship. Specifically, the ambiguous angle can be eliminated and the true targets can be achieved with the aid of the coprime property. Furthermore, a closed-form expression for the deterministic CRB under the NC sources scenario is also derived. Simulation results verify the superiority of the proposed estimator.

Key words: colocated coprime MIMO radar, noncircular signal, tensor decomposition, DOD and DOA estimation

中图分类号: (Source localization and parameter estimation)

43.60.Jn

43.60.Cg (Statistical properties of signals and noise) 84.40.Xb (Telemetry: remote control, remote sensing; radar)

谢前朋, 潘小义, 肖顺平. Efficient tensor decomposition method for noncircular source in colocated coprime MIMO radar[J]. 中国物理B, 2020, 29(5): 54304-054304.

Qian-Peng Xie(谢前朋), Xiao-Yi Pan(潘小义), Shun-Ping Xiao(肖顺平). Efficient tensor decomposition method for noncircular source in colocated coprime MIMO radar[J]. Chin. Phys. B, 2020, 29(5): 54304-054304.

参考文献 35

[1]	Wang X P, Wang L Y, Li X M and Bi G A 2017 Signal Process. 135 147 doi: 10.1016/j.sigpro.2016.12.031
[2]	Wang X P, Wan L T, Huang M X, Shen C and Zhang K 2019 IEEE J. Sel. Topics Signal Process. 13 1001 doi: 10.1109/JSTSP.2019.2925786
[3]	Xie Q P, Pan X Y, Huang M, Chen J Y and Xiao S P 2019 IEEE Access 7 107805 doi: 10.1109/ACCESS.2019.2933907
[4]	Huang C, Zhang D J, Zhang D L and Teng T T 2014 Acta Phys. Sin. 63 188401 (in Chinese)
[5]	Wen F Q, Zhang G and Ben D 2015 Chin. Phys. B 24 110201 doi: 10.1088/1674-1056/24/11/110201
[6]	Wang T, Zhao Y J, Lai T and Wang J T 2017 Acta Phys. Sin. 66 048401 (in Chinese)
[7]	Haimovich M A, Blum R S and Cimini L J 2007 IEEE Signal Process. Mag. 25 116
[8]	Li J and Stoica P 2007 IEEE Signal Process. Mag. 5 106
[9]	Yan H D, Li J and Liao G S 2008 EURASIP J. Adv. Signal Process. 1 1
[10]	Zhang X F, Xu L Y, Xu L and Xu D Z 2010 IEEE Commun. Lett. 14 1161 doi: 10.1109/LCOMM.2010.102610.101581
[11]	Bencheikh M L, Wang Y D and He H Y 2010 Signal Process. 9 2723
[12]	C D F, Chen B X and Qin G D 2008 Electron. Lett. 44 770 doi: 10.1049/el:20080276
[13]	Chen J L, G H and Song W M 2008 Electron. Lett. 44 1422 doi: 10.1049/el:20089089
[14]	Wen F Q, Xiong X D, Su J and Zhang Z J 2017 Signal Process. 134 261 doi: 10.1016/j.sigpro.2016.12.017
[15]	Xu B Q and Zhao Y B 2019 Signal Process. 157 88 doi: 10.1016/j.sigpro.2018.11.016
[16]	Li L, Younan N H and Shi X F 2019 Sensors 9 1
[17]	Chen J L, Zhou Q G, Li J Q and Zhu Y P 2019 IET Radar Sonar Navigat. 13 1180 doi: 10.1049/iet-rsn.2018.5531
[18]	Gu Y H, Wang X P, Wan L T, Huang M X, Shen C, Zhang K and Yang Y Q 2019 IEEE Access 7 47972 doi: 10.1109/ACCESS.2019.2909760
[19]	Yang M L, Sun L, Yuan X and Chen B X 2018 IEEE Signal Process. Lett. 25 40 doi: 10.1109/LSP.2017.2766294
[20]	Qin S, Zhang Y M and Amin M G 2017 Digit. Signal Process. 61 26 doi: 10.1016/j.dsp.2016.06.006
[21]	Shi J P, Hu G P, Zhang X F and Xiao Y 2018 Int. J. Electron. Commun. 94 339 doi: 10.1016/j.aeue.2018.07.022
[22]	Zheng G M and Tang J 2016 Int. J. Electron. 105 885
[23]	Pal P and Vaidyanathan P P 2010 IEEE Trans. Signal Process. 58 4167 doi: 10.1109/TSP.2010.2049264
[24]	Vaidyanathan P P and Pal P 2011 IEEE Trans. Signal Process. 59 573 doi: 10.1109/TSP.2010.2089682
[25]	Liu C L and Vaidyanathan P P 2016 IEEE Trans. Signal Process. 64 3997 doi: 10.1109/TSP.2016.2558159
[26]	Zhou C W, Shi Z G, Gu Y J and Shen X M 2013 Proc. IEEE Int. Conf. Wireless Commun. Signal Process. Hangzhou, October 1
[27]	Sun F G, Lan P and Gao B 2015 Electron. Lett. 51 2053 doi: 10.1049/el.2015.2261
[28]	Zhang D, Zhang Y S, Zheng G M, Feng C Q and Tang J 2017 Electron. Lett. 53 1277 doi: 10.1049/el.2017.2292
[29]	Qu Q H, Sun F G, Lan P, Ding G R and Zhang X F 2016 IEEE Sensors J. 16 5660 doi: 10.1109/JSEN.2016.2567422
[30]	Zheng W, Zhang X F and Shi Z 2017 IET Radar Sonar Navigat. 11 1581 doi: 10.1049/iet-rsn.2016.0646
[31]	Zhang X F, Zheng W, Chen W Y and Shi Z 2018 Multidim Syst Sign Process. 30 1
[32]	Cai J J, Liu W, Zong R and Wu B 2018 Signal Process. 145 59 doi: 10.1016/j.sigpro.2017.11.012
[33]	Lathauwer L D, Moor B D and Vandewalle J 2000 SIAM J. Matrix Anal. Appl. 21 1253 doi: 10.1137/S0895479896305696
[34]	Kolda T G and Bader B W 2009 SIAM Rev. 51 455 doi: 10.1137/07070111X
[35]	Stoica P and Nehorai A 1989 IEEE Trans. Acoust. Speech Signal Process. 37 720 doi: 10.1109/29.17564

Efficient tensor decomposition method for noncircular source in colocated coprime MIMO radar

Efficient tensor decomposition method for noncircular source in colocated coprime MIMO radar

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 35

相关文章 3

Metrics

本文评价

推荐阅读 0

[1]	戚聿波, 周士弘, 于梦枭, 杜淑媛, 孙梅, 张仁和. A passive source ranging method based on the frequency warping transform of the vertical intensity flux in shallow water[J]. 中国物理B, 2019, 28(5): 54302-054302.
[2]	吴俊楠, 周士弘, 彭朝晖, 张岩, 张仁和. Bearing splitting and near-surface source ranging in the direct zone of deep water[J]. 中国物理B, 2016, 25(12): 124311-124311.
[3]	Zhi-Bin Han(韩志斌), Zhao-Hui Peng (彭朝晖), Jun Song(宋俊), Lei Meng(孟雷), Xiu-Ting Yang(杨秀庭), and Bing Su(苏冰). Acoustic multipath structure in direct zone of deep water and bearing estimation of tow ship noise of towed line array[J]. 中国物理B, 2022, 31(5): 54301-054301.