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 (ID) search in the proposed TE MUSIC method. Second, DOAs of the targets can be achieved via Lagrange multiplier by a ID search. Finally, substituting the DOA estimates into the 2D MUSIC spectrum function, DODs of the targets are obtained by another ID 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 ID 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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ai Y, Yi W, Blum RS, et al., 2015. Cramer-Rao lower bound for multitarget localization with noncoherent statistical MIMO radar. Proc IEEE Radar Conf, p.1497–1502. https://doi.org/10.1109/RADAR.2015.7131233
Bekkerman I, Tabrikian J, 2006. Target detection and localization using MIMO radars and sonars. IEEE Trans Signal Proc, 54(10):3873–3883. https://doi.org/10.1109/TSP.2006.879267
Bencheikh ML, Wang Y, 2010. Joint DOD-DOA estimation using combined ESPRIT-MUSIC approach in MIMO radar. Electron Lett, 46(15):1081–1083. https://doi.org/10.1049/e1.2010.1195
Bencheikh ML, Wang Y, He HY, 2010. Polynomial root finding technique for joint DOA DOD estimation in bistatic MIMO radar. Signal Proc, 90(9):2723–2730. https://doi.org/10.1016/j.sigpro.2010.03.023
Cao RZ, Liu BY, Gao FF, et al., 2017. A low-complex one-snapshot DOA estimation algorithm with massive ULA. IEEE Gommun Lett, 21(5):1071–1074. https://doi.org/10.1109/LCOMM.2017.2652442
Chen DF, Chen BX, Qian CD, 2008. Angle estimation using ESPRIT in MIMO radar. Electron Lett, 44(12):770–771. https://doi.org/10.1049/el:20080276
Chen HW, Li X, Wang HQ, et al., 2014. Performance bounds of direction finding and its applications for multiple-input multiple-output radar. IET Radar Sonar Nav, 8(3):251–263. https://doi.org/10.1049/iet-rsn.2013.0119
Chen JL, Gu H, Su WM, 2008. Angle estimation using ESPRIT without paring in MIMO radar. Electron Lett, 44(24):1422–1423. https://doi.org/10.1049/el:20089089
Chen JL, Gu H, Su WM, 2010. A new method for joint DOD and DOA estimation in bistatic MIMO radar. Signal Proc, 90(2):714–718. https://doi.org/10.1016/j.sigpro.2009.08.003
Fishier E, Haimovich A, Blum R, et al., 2004a. MIMO radar: an idea whose time has come. Proc IEEE Radar Conf, p.71–78. https://doi.org/10.1109/NRC.2004.1316398
Fishier E, Haimovich A, Blum R, et al., 2004b. Performance of MIMO radar systems: advantages of angular diversity. Proc 38 Asilomar Conf on Signals, Systems and Computers, p.305–309. https://doi.org/10.1109/ACSSC.2004.1399142
Fishier E, Haimovich A, Blum R, et al., 2006. Spatial diversity in radars—models and detection performance. IEEE Trans Signal Proc, 54(3):823–838. https://doi.org/10.1109/TSP.2005.862813
Quo YD, Feng CQ, Zhang YS, et al., 2015. Joint DOD and DOA estimation for bistatic MIMO radar with combined array errors. Proc IET Int Radar Conf, p.1–5. https://doi.org/10.1049/cp.2015.1472
Haimovich AM, Blum RS, Cimini LJ, 2008. MIMO radar with widely separated antennas. IEEE Signal Proc Mag, 25(1):116–129. https://doi.org/10.1109/MSP.2008.4408448
Jiang H, Zhang JK, Wong KM, 2015. Joint DOD and DOA estimation for bistatic MIMO radar in unknown correlated noise. IEEE Trans Veh Technol, 64(11):5113–5125. https://doi.org/10.1109/TVT.2014.2384495
Jin M, Liao GS, Li J, 2009. Joint DOD and DOA estimation for bistatic MIMO radar. Signal Proc, 89(2):244–251. https://doi.org/10.1016/j.sigpro.2008.08.003
Koupatsiaris DA, Karystinos GN, 2013. Efficient DOA, DOD, and target estimation for bistatic MIMO sonar. Proc IEEE Int Conf on Acoustics, Speech and Signal Processing, p.5155–5159. https://doi.org/10.1109/ICASSP.2013.6638645
Li J, Stoica P, 2007. MIMO radar with colocated antennas. IEEE Signal Proc Mag, 24(5):106–114. https://doi.org/10.1109/MSP.2007.904812
Li J, Conan J, Pierre S, 2005. Joint estimation of channel parameter for MIMO communication systems. Proc 2 Int Symp on Wireless Communication Systems, p.22–26. https://doi.org/10.1109/ISWCS.2005.1547647
Li JF, Zhang XF, 2014. Unitary subspace-based method for angle estimation in bistatic MIMO radar. Circ Syst Signal Proc, 33(2):501–513. https://doi.org/10.1007/s00034-013-9653-9
Robey FC, Coutts S, Weikle D, et al., 2004. MIMO radar theory and experimental results. Proc 38th Asilomar Conf on Signals, Systems and Computers, p.300–304. https://doi.org/10.1109/ACSSC.2004.1399141
Sharify S, Nayebi MM, 2017. Approach to detector design for statistical multiple-input—multiple-output radars using multi-scan data. IET Radar Sonar Nav, 11(4):664–672. https://doi.org/10.1049/iet-rsn.2016.0328
Tang B, Tang J, Zhang Y, et al., 2013. Maximum likelihood estimation of DOD and DOA for bistatic MIMO radar. Signal Proc, 93(5):1349–1357. https://doi.org/10.1016/j.sigpro.2012.11.011
Xu BQ, Zhao YB, Cheng ZF, et al., 2017. A novel unitary PARAFAC method for DOD and DOA estimation in bistatic MIMO radar. Signal Proc, 138:273–279. https://doi.org/10.1016/j.sigpro.2017.03.016
Xu LZ, Li J, Stoica P, 2008. Target detection and parameter estimation for MIMO radar systems. IEEE Trans Aerosp Electron Syst, 44(3):927–939. https://doi.org/10.1109/TAES.2008.10299612
Yan HD, Liao GS, Li J, 2008. Multitarget identification and localization using bistatic MIMO radar systems. EURASIP J Adv Signal Proc, Article 283483. https://doi.org/10.1155/2008/283483
Yeo K, Chung Y, Yang H, et al., 2017. Reduced-dimension DOD and DOA estimation through projection filtering in bistatic MIMO radar with jammer discrimination. IET Radar Sonar Nav, 11(8):1228–1234. https://doi.org/10.1049/iet-rsn.2016.0627
Zhang SN, Zhu XH, 2013. Improved design of unimodular waveforms for MIMO radar. Multidim Syst Signal Proc, 24(3):447–456. https://doi.org/10.1007/sll045-011-0171-2
Zhang X, Xu D, 2010. Angle estimation in MIMO radar using reduced-dimension Capon. Electron Lett, 46(12):860–861. https://doi.org/10.1049/el.2010.0346
Zheng GM, Chen BX, 2015. Unitary dual-resolution ESPRIT for joint DOD and DOA estimation in bistatic MIMO radar. Multidim Syst Signal Proc, 26(1):159–178. https://doi.org/10.1007/sll045-013-0244-5
Zheng GM, Tang J, Yang X, 2016. ESPRIT and unitary ESPRIT algorithms for coexistence of circular and non-circular signals in bistatic MIMO radar. IEEE Access, 4:7232–7240. https://doi.org/10.1109/ACCESS.2016.2624561
Author information
Authors and Affiliations
Corresponding author
Additional information
Project supported by the National Natural Science Foundation of China (Nos. 61501374 and 61531015), the Fundamental Research Funds for the Central Universities, China (No. 3102015ZY084), and the Project of Science and Technology on Electronic Information Control Laboratory, China
Rights and permissions
About this article
Cite this article
Shi, Wt., Zhang, Qf., He, Cb. et al. Taylor expansion MUSIC method for joint DOD and DOA estimation in a bistatic MIMO array. Frontiers Inf Technol Electronic Eng 20, 842–848 (2019). https://doi.org/10.1631/FITEE.1700657
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1631/FITEE.1700657
Keywords
- Bistatic multiple-input multiple-output array
- Direction of departure
- Direction of arrival
- Multiple signal classification
- Taylor expansion
- Computational complexity