Abstract
We consider the problem of estimating the elevation angle in the presence of multipath. The proposed method belongs to the class of maximum likelihood-like estimators and employs a modified specular reflection model that accounts for the uncertainty of the steering vector by assuming that they are subject to unknown deterministic perturbations with bounded norms. The analysis, performed using convex optimization methods, allows us to obtain computationally efficient implementations of the approach. Real-world results and computer simulations confirm the improved behavior of the proposed robustified estimators.
Citations
-
7
CrossRef
-
0
Web of Science
-
8
Scopus
Authors (2)
Cite as
Full text
- Publication version
- Accepted or Published Version
- License
- Copyright (2019 IEEE)
Keywords
Details
- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
-
IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS
pages 1 - 1,
ISSN: 0018-9251 - Language:
- English
- Publication year:
- 2019
- Bibliographic description:
- Meller M., Stawiarski K.: Robustified estimators of radar elevation angle using a specular multipath model// IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS -, (2019), s.1-1
- DOI:
- Digital Object Identifier (open in new tab) 10.1109/taes.2019.2927906
- Bibliography: test
-
- M. Skolnik, Radar Handbook. McGraw-Hill, 2008.
- D. K. Barton, Radar System Analysis and Modeling. Artech House, Inc., 2005.
- M. Skolnik, Introduction to Radar Systems. McGraw-Hill, 2002. open in new tab
- U. Nickel, "Overview of generalized monopulse estimation," IEEE Aerospace and Electronic Systems Magazine, vol. 21, no. 6, pp. 27- 56, 2006. open in new tab
- W. D. White, "Low-angle radar tracking in the presence of multipath," IEEE Transactions on Aerospace and Electronic Systems, vol. AES-10, no. 6, pp. 835-852, 1974. open in new tab
- D. K. Barton, "Low-angle radar tracking," Proceedings of the IEEE, vol. 62, no. 6, pp. 687-704, 1974. open in new tab
- V. Mangulis, "Frequency diversity in low-angle radar tracking," IEEE Transactions on Aerospace and Electronic Systems, vol. AES-17, no. 1, pp. 149-153, 1981. open in new tab
- S. M. Sherman, "Complex indicated angles applied to unresolved radar targets and multipath," IEEE Transactions on Aerospace and Electronic Systems, vol. AES-7, no. 1, pp. 160-170, 1971. open in new tab
- J. Capon, "High resolution frequency-wavenumber spectrum analysis," Proceedings of the IEEE, vol. 57, pp. 1408-1418, 1969. open in new tab
- R. O. Schmidt, "Multiple emitter location and signal parameter estima- tion," IEEE Transactions on Antennas and Propagation, vol. 34, no. 3, pp. 276-280, 1986. open in new tab
- V. V. Reddy, M. Mubeen, and B. P. Ng, "Reduced-complexity super- resolution DOA estimation with unknown number of sources," IEEE Signal Processing Letters, vol. 22, no. 6, pp. 772-776, 2015. open in new tab
- C. Niu, Y. Zhang, and J. Guo, "Low angle estimation in diffuse multipath environment by time-reversal minimum-norm-like technique," IET Radar, Sonar Navigation, vol. 11, no. 10, pp. 1483-1487, 2017. open in new tab
- T.-J. Shan, M. Wax, and T. Kailath, "On spatial smoothing for direction- of-arrival estimation of coherent signals," IEEE Transactions on Acous- tics, Speech and Signal Processing, vol. 33, no. 4, pp. 806-811, 1985.
- K. G. A. Thakre and M. Haardt, "Single snapshot spatial smoothing with improved effective array aperture," IEEE Signal Processing Letters, vol. 16, no. 6, pp. 505-508, 2009. open in new tab
- H. L. van Trees, K. L. Bell, and Z. Tian, Detection, Estimation and Modulation Theory, Part IV: Optimum Array Processing. John Wiley & Sons, 2002. open in new tab
- --, Detection, Estimation and Modulation Theory, Part I: Detection, Estimation, and Filtering Theory. John Wiley & Sons, 2013. open in new tab
- A. G. Jaffer, "Maximum likelihood direction finding of stochastic sources: a separable solution," in Proc. 1988 International Conference on Acoustics, Speech, and Signal Processing (ICASSP-88), 1988, pp. 2893-2896. open in new tab
- U. Nickel, "Array processing for radar: Achievements and challenges," International Journal of Antennas and Propagation, 2013. open in new tab
- I. Ziskind and M. Wax, "Maximum likelihood localization of multiple sources by alternating projection," IEEE Transactions on Acoustics, Speech and Signal Processing, vol. 36, no. 10, pp. 1553-1560, 1988. open in new tab
- A. J. Weiss, A. S. Willsky, and B. C. Levy, "Maximum likelihood array processing for the estimation of superimposed signals," Proceedings of the IEEE, vol. 76, no. 2, pp. 203-204, 1988. open in new tab
- Y. Bresler and A. Makovski, "Exact maximum likelihood parameter estimation of superimposed exponential signals in noise," IEEE Trans- actions on Acoustics, Speech and Signal Processing, vol. 34, no. 5, pp. 307-310, 1986. open in new tab
- M. D. Zoltowski and T. S. Lee, "Maximum likelihood based sensor array signal processing in the beamspace domain for low angle radar tracking," IEEE Transactions on Signal Processing, vol. 39, no. 3, pp. 656-671, 1991. open in new tab
- F. Vincent, O. Besson, and E. Chaumette, "Approximate maximum likelihood estimation of two closely spaced sources," Signal Processing, vol. 97, no. Supplement C, pp. 83-90, 2014. open in new tab
- --, "Approximate unconditional maximum likelihood direction of ar- rival estimation for two closely spaced targets," IEEE Signal Processing Letters, vol. 22, no. 1, pp. 86-89, 2015. open in new tab
- D. Bonacci, F. Vincent, and B. Gigleux, "Robust DoA estimation in case of multipath environment for a sense and avoid airborne radar," IET Radar, Sonar & Navigation, vol. 11, no. 5, pp. 797-801, 2015. open in new tab
- M. L. Meeks, Radar Propagation at Low Altitudes. Artech House, 1982.
- D. Park, E. Yang, S. Ahn, and J. Chun, "Adaptive beamforming for low- angle target tracking under multipath interference," IEEE Transactions on Aerospace and Electronic Systems, vol. 50, no. 4, pp. 2564-2577, 2014. open in new tab
- M. A. Sebt, A. Sheikhi, and M. M. Nayebi, "Robust low-angle estimation by an array radar," IET Radar, Sonar Navigation, vol. 4, no. 6, pp. 780- 790, 2010. open in new tab
- L. E. Ghaoui and H. Lebret, "Robust solutions to least-squares problems with uncertain data," SIAM Journal on Matrix Analysis and Applications, vol. 18, no. 4, pp. 1035-1064, 1997. open in new tab
- S. Chandrasekaran, G. H. Golub, M. Gu, and A. H. Sayed, "Parameter estimation in the presence of bounded data uncertainties," SIAM Journal on Matrix Analysis and Applications, vol. 19, no. 1, pp. 235-252, 1998. open in new tab
- M. S. Lobo, L. Vandenberghe, S. Boyd, and H. Lebret, "Applications of second-order cone programming," Linear Algebra and its Applications, vol. 284, pp. 193-228, 1998. open in new tab
- S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge University Press, 2004. open in new tab
- K. Miller, "Least squares methods for ill-posed problems with a pre- scribed bound," SIAM Journal on Mathematical Analysis, vol. 1, no. 1, pp. 52-74, 1970. open in new tab
- Verified by:
- Gdańsk University of Technology
seen 114 times
Recommended for you
A Novel Approach of Using Selected Unconventional Geodesic Methods of Estimation on VTS Areas
- K. Czaplewski,
- M. Wąż,
- M. Zienkiewicz