Abstract
Direction-of-arrival (DOA) estimation of two targets with a single snapshot plays an important role in many practically relevant scenarios in automotive radar for driver assistance systems. Conventional Fourier-based methods cannot resolve closely spaced targets, and high-resolution methods are required. Thus, we consider the maximum likelihood DOA estimator, which is applicable with a single snapshot. To reduce the computational burden, we propose a grid search procedure with a simplified objective function. The required projection operators are pre-calculated off-line and stored. To save storage space, we further propose a rotational shift of the field of view such that the relevant angular sector, which has to be evaluated, is centered with respect to the broadside. The final estimates are obtained using a quadratic interpolation. An example is presented to demonstrate the proposed method. Also, results obtained with experimental data from a typical application in automotive radar are shown.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
J. Hansen, P. Boyraz, K. Takeda, H. Abut, Digital Signal Processing for In-Vehicle Systems and Safety (Springer, New York, 2011)
F. Gustaffson, Automotive safety systems. IEEE Signal Process. Mag. 26(4), 32–47 (2009)
H. Winner, S. Hakuli, G. Wolf, Advanced Driver Assistance Systems Handbook (Vieweg + Teubner, Wiesbaden, 2009) (in German: Handbuch Fahrerassistenzsysteme: Grundlagen, Komponenten und Systeme für aktive Sicherheit und Komfort)
M. Skolnik, Radar Handbook (McGraw-Hill, New York, 2008)
M. Richards, Fundamentals of Radar Signal Processing (McGraw-Hill, New York, 2005)
M. Wintermantel, Radar system with improved angle formation, Germany Patent Application WO 2010/000252, 2010
H. Krim, M. Viberg, Two decades of array signal processing research. IEEE Signal Process. Mag. 13(4), 67–94 (1996)
H. van Trees, Detection, Estimation, and Modulation Theory—Part IV Optimum Array Processing (Wiley, New York, 2002)
E. Tuncer, B. Friedlander, Classical and Modern Direction-of-Arrival Estimation (Academic Press, New York, 2009)
R. Schmidt, Multiple emitter location and signal parameter estimation. IEEE Trans. Antennas Propag. 34(3), 276–280 (1986)
M. Haardt, J. Nossek, Unitary ESPRIT: how to obtain increased estimation accuracy with a reduced computational burden. IEEE Trans. Signal Process. 43(5), 1232–1242 (1995)
G. Golub, C. van Loan, Matrix Computations (The Johns Hopkins University Press, Baltimore, MD, 1996)
S. Pillai, C. Kwon, Forward/backward spatial smoothing techniques for coherent signal identification. IEEE Trans. Acoust. Speech Signal Process. 37(1), 8–15 (1989)
P. Stoica, A. Nehorai, MUSIC, maximum likelihood, and the cramér-Rao bound. IEEE Trans. Acoust. Speech Signal Process. 37(5), 720–741 (1989)
Y. Abramovich, B. Johnson, X. Mestre, Performance breakdown in MUSIC, G-MUSIC and maximum likelihood estimation, in Proc. of the 32nd IEEE Int. Conf. on Acoustics, Speech and Sig. Proc. (ICASSP), Honolulu, USA, 2007
I. Ziskind, M. Wax, Maximum likelihood localization of multiple sources by alternating projection. IEEE Trans. Acoust. Speech Signal Process. 36(10), 1553–1560 (1988)
J. Li, D. Zheng, P. Stoica, Angle and waveform estimation via RELAX. IEEE Trans. Aerosp. Electron. Syst. 33(3), 1077–1087 (1997)
B. Ottersten, M. Viberg, P. Stoica, A. Nehorai, Exact and large sample ML techniques for parameter estimation and detection in array processing, in Radar Array Processing (Springer, Berin, 1993)
P. Heidenreich, Antenna Array Processing: Autocalibration and Fast High-Resolution Methods for Automotive Radar, Ph.D. thesis, Technische Universität Darmstadt, 2012
A. Lee, Centrohermitian and skew-centrohermitian matrices. Linear Algebra Appl. 29, 205–210 (1980)
M. Pesavento, A. Gershman, M. Haardt, Unitary root-MUSIC with a real-valued eigendecomposition: a theoretical and experimental performance study. IEEE Trans. Signal Process. 49(5), 1306–1314 (2000)
P. Heidenreich, A. Zoubir, Computationally simple DOA estimation of two resolved targets with a single snapshot, in Proc. of the 37th IEEE Int. Conf. on Acoustics, Speech and Sig. Proc. (ICASSP), Kyoto, Japan, 2012
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer Science+Business Media New York
About this chapter
Cite this chapter
Heidenreich, P., Zoubir, A.M. (2014). Computational Aspects of Maximum Likelihood DOA Estimation of Two Targets with Applications to Automotive Radar. In: Schmidt, G., Abut, H., Takeda, K., Hansen, J. (eds) Smart Mobile In-Vehicle Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-9120-0_1
Download citation
DOI: https://doi.org/10.1007/978-1-4614-9120-0_1
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-9119-4
Online ISBN: 978-1-4614-9120-0
eBook Packages: EngineeringEngineering (R0)