Exploiting Non Circularity for Angle Estimation in Bistatic MIMO Radar Systems
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33093
Exploiting Non Circularity for Angle Estimation in Bistatic MIMO Radar Systems

Authors: Ebregbe David, Deng Weibo

Abstract:

The traditional second order statistics approach of using only the hermitian covariance for non circular signals, does not take advantage of the information contained in the complementary covariance of these signals. Radar systems often use non circular signals such as Binary Phase Shift Keying (BPSK) signals. Their noncicular property can be exploited together with the dual centrosymmetry of the bistatic MIMO radar system to improve angle estimation performance. We construct an augmented matrix from the received data vectors using both the positive definite hermitian covariance matrix and the complementary covariance matrix. The Unitary ESPRIT technique is then applied to the signal subspace of the augmented covariance matrix for automatically paired Direction-of-arrival (DOA) and Direction-of-Departure (DOD) angle estimates. The number of targets that can be detected is twice that obtainable with the conventional ESPRIT approach. Simulation results show the effectiveness of this method in terms of increase in resolution and the number of targets that can be detected.

Keywords: Bistatic MIMO Radar, Unitary Esprit, Non circular signals.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1089503

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1918

References:


[1] A.M. Haimovich, R. Blum, L. Cimini, "MIMO radar with widely separated antennas”, IEEE Signal Processing Magazine 25 (1) (2008) 116–129.
[2] Fisher, E., Haimovich, A., and Blum, R.S., et al.: ‘MIMO radar: an idea whose time has come’. Proc. IEEE Radar Conf., Philadelphia, PA, USA, April 2004, pp. 71–78.
[3] J. Li, P. Stoica, "MIMO radar with colocated antennas”, IEEE Signal Processing Magazine 24 (5) (2007) 106–114.
[4] I. Bekkerman, J. Tabrikian, "Target detection and localization using MIMO radars and sonars”, IEEE Transactions on Signal Processing 54 (10) (2006) 3873–3883.
[5] M. Haardt and F. Roemer, "Enhancements of Unitary ESPRIT for non-circular sources”, in Proc. IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2004), vol. 2, pp. 101–104, Montreal, Canada, May 2004.
[6] P. Charg´e, Y. Wang, and J. Saillard, "A non circular sources direction finding method using polynomial rooting”, Signal Processing, vol. 81, pp. 1765–1770, 2001.
[7] M. Haardt and J. A. Nossek, "Unitary ESPRIT: How to obtain increased estimation accuracy with a reduced computational burden”, IEEE Trans. Signal Processing, vol. 43, pp. 1232–1242,1995.
[8] Zoltowski, M.D., Haardt, M., and Mathews, C.P.: ‘Closed-form 2-D angle estimation with rectangular arrays in element space or beamspace via Unitary ESPRIT’, IEEE Trans. Signal Process., 1996, 44, (2), pp. 316-328.
[9] M. Jin, G. Liao and J. Li, "Joint DOD and DOA estimation for bistatic MIMO radar”, Elsevier Signal. Processing 89 244-251 2009.
[10] M. L. Bencheikh, Y. Wang and H. He, "Polynomial root finding technique for joint DOA DOD estimation in bistatic MIMO radar”, Signal Processing (EURASIP), 2010, 90(9), pp.2723-2730
[11] J.L. Chen, H. Gu, W.M. Su, "A new method for joint DOD and DOA estimation in bistatic MIMO radar”, Signal Processing 90 (2010) 714–718.
[12] Barbaresco, F., and Chevalier, P.: ‘Noncircularity exploitation in signal processing overview and application to radar’. IET Waveform Diversity and Digital Radar Conf., London, UK, 2008, pp. 1-6.
[13] B. Picinbono, "On circularity”, IEEE Trans. Signal Processing, Vol 42, No 12, pp. 3473-3482, Dec. 1994.
[14] A. Lee, "Centrohermitian and skew-centrohermitian matrices,” Linear Algebra and its Applications, vol. 29, pp. 205–210, 1980.
[15] N. Yilmazer, J. Koh, T.K. Sarkar,” Utilization of a unitary transform for efficient computation in the matrix pencil method to find the direction of arrival”, IEEE Trans. Antennas Propagation. 54 (1) (2006) 175-181.
[16] S. Javidi, D.P. Mandic, C. C. Took and A. Cichocki, "Kurtosis-based blind source extraction of complex non‑circular signals with application in EEG artifact removal in real-time” Frontiers in Neuroscience, Volume 5. Article 105, October 2011.
[17] J. Galy, C. Adnet, "Blind separation of non-circular sources”, in: Proceedings of the Tenth IEEE Workshop on Statistical Signal and Array Processing, 2000, pp 315-318.
[18] F. Gao, Y. Wang, A. Nallanathan, "Improved MUSIC by Exploiting Both Real and Complex Sources” in Proc. IEEE International Conference on Military Communications (MILCOM 2006) Washington, DC pp 1-6 2006.