Abstract
We propose a tensorial method for target localization based on multi-static-multi-pulse MIMO radar, which consists of multiple widely separated transmitting and receiving arrays. We show how a set of tensors, which admits a coupled multilinear (ML) rank-(L, L, 1) block term decomposition (BTD), can be constructed from the output signals of different receiving arrays. As such, we compute the coupled ML rank-(L, L, 1) BTD of these tensors to obtain factor matrices. The target locations are then able to be determined from the latent DOA parameters in these factor matrices. The proposed method neither requires prior knowledge, nor assumes orthogonality between probing signals. In addition, by exploiting the coupling, different receiving array outputs are jointly processed, yielding improved performance than uncoupled BTD based methods. Simulation results are provided to illustrate the performance of the proposed method.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Chernyak, V.: Multisite radar systems composed of MIMO radars. IEEE Aerosp. Electron. Syst. Mag. 29(12), 28–37 (2014)
Li, H., Wang, Z., Liu, J., et al.: Moving target detection in distributed MIMO radar on moving platforms. IEEE J. Sel. Top. Signal Proc. 9(8), 1524–1535 (2015)
Yan, J., Liu, H., Pu, W.: Joint beam selection and power allocation for multiple target tracking in netted colocated MIMO radar system. IEEE Trans. Signal Proc. 64(24), 6417–6427 (2016)
Chen, P., Zheng, L., Wang, X.: Moving target detection using colocated MIMO radar on multiple distributed moving platforms. IEEE Trans. Signal Proc. 65(17), 4670–4683 (2017)
Deligiannis, A., Panoui, A., Lambotharan, S., et al.: Game-theoretic power allocation and the Nash equilibrium analysis for a multistatic MIMO radar network. IEEE Trans. Signal Proc. 65(24), 6397–6408 (2017)
Robey, F.C., Coutts, S., et al.: MIMO radar theory and experimental results. In: Conference Record of the Thirty-Eighth Asilomar Conference on Signals, Systems and Computers, pp. 300–304. IEEE Press, Pacific Grove (2005)
Li, J., Stoica, P.: MIMO radar with colocated antennas. IEEE Signal Process Mag. 24(5), 106–114 (2007)
Nion, D., Sidiropoulos, N.D.: A PARAFAC-based technique for detection and localization of multiple targets in a MIMO radar system. In: IEEE International Conference on Acoustics, Speech and Signal Proceedings, pp. 2077–2080. IEEE Press, Taipei (2009)
Nion, D., Sidiropoulos, N.D.: Tensor algebra and multidimensional harmonic retrieval in signal processing for MIMO radar. IEEE Trans. Signal Proc. 58(11), 5693–5705 (2010)
De Lathauwer, L.: Decompositions of a higher-order tensor in block terms Part II: definitions and uniqueness. SIAM J. Matrix Anal. Appl. 30(3), 1033–1066 (2008)
Domanov, I., De Lathauwer, L.: Decomposition of a tensor into multilinear rank-\((1, L_r, L_r)\) terms. arXiv preprint arXiv:1808.02423 (2018)
De Lathauwer, L., Nion, D.: Decompositions of a higher-order tensor in block terms Part III: alternating least squares algorithms. SIAM J. Matrix Anal. Appl. 30(3), 1067–1083 (2008)
Tensorlab 3.0 - Numerical optimization strategies for large-scale constrained and coupled matrix/tensor factorization. https://www.tensorlab.net
Acknowledgments
This research is funded by: (1) National natural science foundation of China (Grant No. 61331019, 61379012, and 61601079); (2) Natural science foundation of Liaoning province (Grant No. 20170540169).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Yang, JX., Gong, XF., Li, H., Xu, YG., Liu, ZW. (2019). Using Coupled Multilinear Rank-(L, L, 1) Block Term Decomposition in Multi-Static-Multi-Pulse MIMO Radar to Localize Targets. In: Lu, H., Tang, H., Wang, Z. (eds) Advances in Neural Networks – ISNN 2019. ISNN 2019. Lecture Notes in Computer Science(), vol 11555. Springer, Cham. https://doi.org/10.1007/978-3-030-22808-8_56
Download citation
DOI: https://doi.org/10.1007/978-3-030-22808-8_56
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-22807-1
Online ISBN: 978-3-030-22808-8
eBook Packages: Computer ScienceComputer Science (R0)