volume | PIER Journals

Abstract

RAdio Detection And Ranging (RADAR) is an essential tool used extensively to detect a target's presence within the vicinity characterized by the range of the RADAR. In order to localize the target, Direction of Departure (DOD) and Direction of Arrival (DOA) estimations are utilized. To make it more convenient, a bistatic multiple input multiple output (MIMO) configuration is exploited to deduce the position of a target through the triangulation method easily. Furthermore, due to the maneuvering of targets in space, more robust direction finding solutions can be derived using Time-Frequency (TF) representations. Thus, this paper aims to leverage the benefits of TF analysis for the estimation of DOD and DOA jointly for a bistatic MIMO radar. The performance of the considered method is numerically evaluated and is compared against the conventional algorithms that do not use TF tools and as well compared against the Cramer Rao Lower Bound (CRLB). The results show that TF based approach may be a promising candidate in terms of its robustness against channel noise. Also, the performance of the TF based DOD-DOA estimates is studied in terms of their consistency and resolvability of targets which measures the performance in a multi-target environment. Finally, the use-case of TF based estimation to solve the problem in the presence of coherent targets is analysed through simulations and inferred.

1. Skolnik, M. I., "An analysis of bistatic radar," IRE Transactions on Aerospace and Navigational Electronics, Vol. ANE-8, No. 1, 19-27, March 1961.
doi:10.1109/TANE3.1961.4201772 Google Scholar

2. Chintagunta, S. and P. Ponnusamy, "Spatial and polarization angle estimation of mixed-targets in MIMO radar," Progress In Electromagnetics Research M, Vol. 82, 49-59, 2019.
doi:10.2528/PIERM19041705 Google Scholar

3. Zhang, X., X. Gao, G. Feng, and D. Xu, "Blind joint DOA and DOD estimation and identifiability results for MIMO radar with different transmit/receive array manifolds," Progress In Electromagnetics Research B, Vol. 18, 101-119, 2009. Google Scholar

4. Foutz, J., A. Spanias, and M. K. Banavar, "Narrowband direction of arrival estimation for antenna arrays," Synthesis Lectures on Antennas, Vol. 8, 1-79, 2008.
doi:10.2200/S00118ED1V01Y200805ANT008 Google Scholar

5. Zheng, G. and B. Chen, "Unitary dual-resolution ESPRIT for joint DOD and DOA estimation in bistatic MIMO radar," Multidimensional Systems and Signal Processing, Vol. 26, No. 1, 159-178, 2013.
doi:10.1007/s11045-013-0244-5 Google Scholar

6. Chen, J., H. Gu, and W. Su, "A new method for joint DOD and DOA estimation in bistatic MIMO radar," Signal Processing, Vol. 90, No. 2, 714-718, 2010.
doi:10.1016/j.sigpro.2009.08.003 Google Scholar

7. Xie, R., Z. Liu, and J. Wu, "Direction finding with automatic pairing for bistatic MIMO radar," Signal Processing, Vol. 92, No. 1, 198-203, 2012.
doi:10.1016/j.sigpro.2011.07.004 Google Scholar

8. Ciuonzo, D., G. Romano, and R. Solimene, "Performance analysis of time-reversal MUSIC," IEEE Transactions on Signal Processing, Vol. 63, No. 10, 2650-2662, May 2015.
doi:10.1109/TSP.2015.2417507 Google Scholar

9. Devaney, A. J., "Time reversal imaging of obscured targets from multistatic data," IEEE Transactions on Antennas and Propagation, Vol. 53, No. 5, 1600-1610, May 2005.
doi:10.1109/TAP.2005.846723 Google Scholar

10. Ciuonzo, D., "On Time-reversal imaging by statistical testing," IEEE Signal Processing Letters, Vol. 24, No. 7, 1024-1028, July 2017.
doi:10.1109/LSP.2017.2704612 Google Scholar

11. Li, J. and P. Stoica, MIMO Radar Signal Processing, 2008.
doi:10.1002/9780470391488

12. Khan, N. A., S. Ali, M. Mohammadi, and M. Haneef, "Direction of arrival estimation of sources with intersecting signature in time-requency domain using a combination of IF estimation and MUSIC algorithm," Multidimensional Systems and Signal Processing, 2019. Google Scholar

13. Zhang, Y., M. Amin, and B. Himed, "Joint DOD/DOA estimation in MIMO radar exploiting time-frequency signal representations," EURASIP Journal on Advances in Signal Processing, 2012. Google Scholar

14. Sergios, T. and R. Chellappa, Academic Press Library in Signal Processing, Volume 3: Array and Statistical Signal Processing, 1st Ed., 1st Edition, Chapter 3, Academic Press, Inc., USA, 2013.

15. Cohen, L., Time-frequency Analysis: Theory and Applications, Prentice-Hall, Inc., USA, 1995.

16. Amin, M. G. and Y. Zhang, "Spatial time-frequency distributions and their applications," Proceedings of the Sixth International Symposium on Signal Processing and Its Applications, 2001. Google Scholar

17. Amin, M. G. and Y. Zhang, "Direction finding based on spatial time-frequency distribution matrices," Digital Signal Processing, Vol. 10, No. 4, 325-339, 2000.
doi:10.1006/dspr.2000.0374 Google Scholar

18. Stoica, P. and R. Moses, Spectral Analysis of Signals, Prentice Hall, Inc., Englewood Cliffs, NJ, USA, 2005.

19. Rao, B. D. and K. V. S Hari, "Analysis of subspace-based direction of arrival estimation methods," Sadhana, Academic Proceedings in Engineering sciences, Vol. 16, No. 3, 183-194, Nov. 1991. Google Scholar

20. Shan, T.-J., M. Wax, and T. Kailath, "On spatial smoothing for direction-of-arrival estimation of coherent signals," IEEE Transactions on Acoustics, Speech, and Signal Processing, Vol. 33, No. 4, 806-811, August 1985.
doi:10.1109/TASSP.1985.1164649 Google Scholar

21. Subramaniam, K., P. Ponnusamy, and S. Chintagunta, "Polarization difference smoothing in bistatic MIMO radar," Progress In Electromagnetics Research Letters, Vol. 88, 67-74, 2020.
doi:10.2528/PIERL19091608 Google Scholar

22. Lee, Y., C. Park, T. Kim, Y. Choi, K. Kim, D. Kim, M.-S. Lee, and D. Lee, "Source enumeration approaches using eigenvalue gaps and machine learning based threshold for direction-of-arrival estimation," Applied Sciences, Vol. 11, No. 1942, 2021. Google Scholar

23. Valaee, S. and P. Kabal, "An information theoretic approach to source enumeration in array signal processing," IEEE Transactions on Signal Processing, Vol. 52, No. 5, 1171-1178, May 2004.
doi:10.1109/TSP.2004.826168 Google Scholar

Dr. Yashvanth Lakshminarasimhan

Dr. Roshaan Soundarapandian

Dr. Palanisamy Ponnusamy