Taylor expansion MUSIC method for joint DOD and DOA estimation in a bistatic MIMO array

Wen-tao SHI; Qun-fei ZHANG; Cheng-bing HE; Jing HAN

doi:10.1631/FITEE.1700657

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Taylor expansion MUSIC method for joint DOD and DOA estimation in a bistatic MIMO array

Regular Papers | Updated：2022-05-19

- Taylor expansion MUSIC method for joint DOD and DOA estimation in a bistatic MIMO array
- 基于泰勒展开MUSIC的双基地MIMO阵列DOD与DOA联合估计方法
- Frontiers of Information Technology & Electronic Engineering Vol. 20, Issue 6, Pages: 842-848(2019)
- Affiliations：
  
  School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an 710072, China
  Science and Technology on Electronic Information Control Laboratory, Chengdu 610041, China
- Author bio：
  
  Wen-tao SHI, E-mail: swt@nwpu.edu.cn
- Funds：
- DOI：10.1631/FITEE.1700657
  CLC： TP391.4
- Received：08 October 2017，
  
  Revised：2019-;6-11，
  
  Published：2019-06
- Accepted：
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Wen-tao SHI, Qun-fei ZHANG, Cheng-bing HE, et al. Taylor expansion MUSIC method for joint DOD and DOA estimation in a bistatic MIMO array[J]. Frontiers of Information Technology & Electronic Engineering, 2019, 20(6): 842-848.
DOI：

Wen-tao SHI, Qun-fei ZHANG, Cheng-bing HE, et al. Taylor expansion MUSIC method for joint DOD and DOA estimation in a bistatic MIMO array[J]. Frontiers of Information Technology & Electronic Engineering, 2019, 20(6): 842-848. DOI： 10.1631/FITEE.1700657.

摘要

提出一种基于泰勒展开多信号分类（TE-MUSIC）的双基地多输入多输出（MIMO）阵列发射角（DOD）与接收角（DOA）联合估计法。首先通过泰勒展开阵列流型矢量，将MIMO阵列MUSIC方法中的二维搜索降为一维。然后通过拉格朗日算子，经一维搜索估计目标接收角，并代入MIMO MUSIC空间谱，获得目标的发射角。因此目标的发射角和接收角可自动配对。该方法既减少MIMO MUSIC计算量，又保持方位估计性能。仿真分析证明其性能优于MIMOESPRIT法。

Abstract

We propose a Taylor expansion multiple signal classification (TE MUSIC) method for joint direction of departure (DOD) and direction of arrival (DOA) estimation in a bistatic multiple-input multiple-output (MIMO) array. First

using a Taylor expansion of the steering vector

a two-dimensional (2D) search in the conventional MUSIC method for MIMO arrays is reduced to a two-step one-dimensional (1D) search in the proposed TE MUSIC method. Second

DOAs of the targets can be achieved via Lagrange multiplier by a 1D search. Finally

substituting the DOA estimates into the 2D MUSIC spectrum function

DODs of the targets are obtained by another 1D search. Thus

the DOD and DOA estimates can be automatically paired. The performance of the proposed method is better than that of the MIMO ESPRIT method

and is similar to that of the 2D MUSIC method. Furthermore

due to the 1D search

the TE MUSIC method avoids the high computational complexity of the 2D MUSIC method. Simulation results are presented to show the effectiveness of the proposed method.

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references

Y Ai , , , W Yi , , , RS Blum , , , 等 . . Cramer-Rao lower bound for multitarget localization with noncoherent statistical MIMO radar . . Proc IEEE Radar Conf , , 2015 . . p.1497 - - 1502 . . DOI: 10.1109/RADAR.2015.7131233 http://doi.org/10.1109/RADAR.2015.7131233 . .

I Bekkerman , , , J Tabrikian . . Target detection and localization using MIMO radars and sonars . . IEEE Trans Signal Proc , , 2006 . . 54 ( ( 10 ): ): 3873 - - 3883 . . DOI: 10.1109/TSP.2006.879267 http://doi.org/10.1109/TSP.2006.879267 . .

ML Bencheikh , , , Y Wang . . Joint DOD-DOA estimation using combined ESPRIT-MUSIC approach in MIMO radar . . Electron Lett , , 2010 . . 46 ( ( 15 ): ): 1081 - - 1083 . . DOI: 10.1049/el.2010.1195 http://doi.org/10.1049/el.2010.1195 . .

ML Bencheikh , , , Y Wang , , , HY He . . Polynomial root finding technique for joint DOA DOD estimation in bistatic MIMO radar . . Signal Proc , , 2010 . . 90 ( ( 9 ): ): 2723 - - 2730 . . DOI: 10.1016/j.sigpro.2010.03.023 http://doi.org/10.1016/j.sigpro.2010.03.023 . .

RZ Cao , , , BY Liu , , , FF Gao , , , 等 . . A low-complex one-snapshot DOA estimation algorithm with massive ULA . . IEEE Commun Lett , , 2017 . . 21 ( ( 5 ): ): 1071 - - 1074 . . DOI: 10.1109/LCOMM.2017.2652442 http://doi.org/10.1109/LCOMM.2017.2652442 . .

DF Chen , , , BX Chen , , , GD Qian . . Angle estimation using ESPRIT in MIMO radar . . Electron Lett , , 2008 . . 44 ( ( 12 ): ): 770 - - 771 . . DOI: 10.1049/el:20080276 http://doi.org/10.1049/el:20080276 . .

HW Chen , , , X Li , , , HQ Wang , , , 等 . . Performance bounds of direction finding and its applications for multiple-input multiple-output radar . . IET Radar Sonar Nav , , 2014 . . 8 ( ( 3 ): ): 251 - - 263 . . DOI: 10.1049/iet-rsn.2013.0119 http://doi.org/10.1049/iet-rsn.2013.0119 . .

JL Chen , , , H Gu , , , WM Su . . Angle estimation using ESPRIT without paring in MIMO radar . . Electron Lett , , 2008 . . 44 ( ( 24 ): ): 1422 - - 1423 . . DOI: 10.1049/el:20089089 http://doi.org/10.1049/el:20089089 . .

JL Chen , , , H Gu , , , WM Su . . A new method for joint DOD and DOA estimation in bistatic MIMO radar . . Signal Proc , , 2010 . . 90 ( ( 2 ): ): 714 - - 718 . . DOI: 10.1016/j.sigpro.2009.08.003 http://doi.org/10.1016/j.sigpro.2009.08.003 . .

E Fishler , , , A Haimovich , , , R Blum , , , 等 . . MIMO radar: an idea whose time has come . . Proc IEEE Radar Conf , , 2004a . . p.71 - - 78 . . DOI: 10.1109/NRC.2004.1316398 http://doi.org/10.1109/NRC.2004.1316398 . .

E Fishler , , , A Haimovich , , , R Blum , , , 等 . . Performance of MIMO radar systems: advantages of angular diversity . . Proc 38 th Asilomar Conf on Signals, Systems and Computers , , 2004b . . p.305 - - 309 . . DOI: 10.1109/ACSSC.2004.1399142 http://doi.org/10.1109/ACSSC.2004.1399142 . .

E Fishler , , , A Haimovich , , , R Blum , , , 等 . . Spatial diversity in radars---models and detection performance . . IEEE Trans Signal Proc , , 2006 . . 54 ( ( 3 ): ): 823 - - 838 . . DOI: 10.1109/TSP.2005.862813 http://doi.org/10.1109/TSP.2005.862813 . .

YD Guo , , , CQ Feng , , , YS Zhang , , , 等 . . Joint DOD and DOA estimation for bistatic MIMO radar with combined array errors . . Proc IET Int Radar Conf , , 2015 . . p.1 - - 5 . . DOI: 10.1049/cp.2015.1472 http://doi.org/10.1049/cp.2015.1472 . .

AM Haimovich , , , RS Blum , , , LJ Cimini . . MIMO radar with widely separated antennas . . IEEE Signal Proc Mag , , 2008 . . 25 ( ( 1 ): ): 116 - - 129 . . DOI: 10.1109/MSP.2008.4408448 http://doi.org/10.1109/MSP.2008.4408448 . .

H Jiang , , , JK Zhang , , , KM Wong . . Joint DOD and DOA estimation for bistatic MIMO radar in unknown correlated noise . . IEEE Trans Veh Technol , , 2015 . . 64 ( ( 11 ): ): 5113 - - 5125 . . DOI: 10.1109/TVT.2014.2384495 http://doi.org/10.1109/TVT.2014.2384495 . .

M Jin , , , GS Liao , , , J Li . . Joint DOD and DOA estimation for bistatic MIMO radar . . Signal Proc , , 2009 . . 89 ( ( 2 ): ): 244 - - 251 . . DOI: 10.1016/j.sigpro.2008.08.003 http://doi.org/10.1016/j.sigpro.2008.08.003 . .

DA Koupatsiaris , , , GN Karystinos . . Efficient DOA, DOD, and target estimation for bistatic MIMO sonar . . Proc IEEE Int Conf on Acoustics, Speech and Signal Processing , , 2013 . . p.5155 - - 5159 . . DOI: 10.1109/ICASSP.2013.6638645 http://doi.org/10.1109/ICASSP.2013.6638645 . .

J Li , , , P Stoica . . MIMO radar with colocated antennas . . IEEE Signal Proc Mag , , 2007 . . 24 ( ( 5 ): ): 106 - - 114 . . DOI: 10.1109/MSP.2007.904812 http://doi.org/10.1109/MSP.2007.904812 . .

J Li , , , J Conan , , , S Pierre . . Joint estimation of channel parameter for MIMO communication systems . . Proc 2 nd Int Symp on Wireless Communication Systems , , 2005 . . p.22 - - 26 . . DOI: 10.1109/ISWCS.2005.1547647 http://doi.org/10.1109/ISWCS.2005.1547647 . .

JF Li , , , XF Zhang . . Unitary subspace-based method for angle estimation in bistatic MIMO radar . . Circ Syst Signal Proc , , 2014 . . 33 ( ( 2 ): ): 501 - - 513 . . DOI: 10.1007/s00034-013-9653-9 http://doi.org/10.1007/s00034-013-9653-9 . .

FC Robey , , , S Coutts , , , D Weikle , , , 等 . . MIMO radar theory and experimental results . . Proc 38 th Asilomar Conf on Signals, Systems and Computers , , 2004 . . p.300 - - 304 . . DOI: 10.1109/ACSSC.2004.1399141 http://doi.org/10.1109/ACSSC.2004.1399141 . .

S Sharify , , , MM Nayebi . . Approach to detector design for statistical multiple-input--multiple-output radars using multi-scan data . . IET Radar Sonar Nav , , 2017 . . 11 ( ( 4 ): ): 664 - - 672 . . DOI: 10.1049/iet-rsn.2016.0328 http://doi.org/10.1049/iet-rsn.2016.0328 . .

B Tang , , , J Tang , , , Y Zhang , , , 等 . . Maximum likelihood estimation of DOD and DOA for bistatic MIMO radar . . Signal Proc , , 2013 . . 93 ( ( 5 ): ): 1349 - - 1357 . . DOI: 10.1016/j.sigpro.2012.11.011 http://doi.org/10.1016/j.sigpro.2012.11.011 . .

BQ Xu , , , YB Zhao , , , ZF Cheng , , , 等 . . A novel unitary PARAFAC method for DOD and DOA estimation in bistatic MIMO radar . . Signal Proc , , 2017 . . 138 273 - - 279 . . DOI: 10.1016/j.sigpro.2017.03.016 http://doi.org/10.1016/j.sigpro.2017.03.016 . .

LZ Xu , , , J Li , , , P Stoica . . Target detection and parameter estimation for MIMO radar systems . . IEEE Trans Aerosp Electron Syst , , 2008 . . 44 ( ( 3 ): ): 927 - - 939 . . DOI: 10.1109/TAES.2008.10299612 http://doi.org/10.1109/TAES.2008.10299612 . .

HD Yan , , , GS Liao , , , J Li . . Multitarget identification and localization using bistatic MIMO radar systems . . EURASIP J Adv Signal Proc , , 2008 . . Article 283483 DOI: 10.1155/2008/283483 http://doi.org/10.1155/2008/283483 . .

K Yeo , , , Y Chung , , , H Yang , , , 等 . . Reduced-dimension DOD and DOA estimation through projection filtering in bistatic MIMO radar with jammer discrimination . . IET Radar Sonar Nav , , 2017 . . 11 ( ( 8 ): ): 1228 - - 1234 . . DOI: 10.1049/iet-rsn.2016.0627 http://doi.org/10.1049/iet-rsn.2016.0627 . .

SN Zhang , , , XH Zhu . . Improved design of unimodular waveforms for MIMO radar . . Multidim Syst Signal Proc , , 2013 . . 24 ( ( 3 ): ): 447 - - 456 . . DOI: 10.1007/s11045-011-0171-2 http://doi.org/10.1007/s11045-011-0171-2 . .

X Zhang , , , D Xu . . Angle estimation in MIMO radar using reduced-dimension Capon . . Electron Lett , , 2010 . . 46 ( ( 12 ): ): 860 - - 861 . . DOI: 10.1049/el.2010.0346 http://doi.org/10.1049/el.2010.0346 . .

GM Zheng , , , BX Chen . . Unitary dual-resolution ESPRIT for joint DOD and DOA estimation in bistatic MIMO radar . . Multidim Syst Signal Proc , , 2015 . . 26 ( ( 1 ): ): 159 - - 178 . . DOI: 10.1007/s11045-013-0244-5 http://doi.org/10.1007/s11045-013-0244-5 . .

GM Zheng , , , J Tang , , , X Yang . . ESPRIT and unitary ESPRIT algorithms for coexistence of circular and noncircular signals in bistatic MIMO radar . . IEEE Access , , 2016 . . 4 7232 - - 7240 . . DOI: 10.1109/ACCESS.2016.2624561 http://doi.org/10.1109/ACCESS.2016.2624561 . .

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