volume | PIER Journals

Abstract

In this paper, an array aperture extension algorithm is developed for two-dimensional (2-D) direction-of-arrival (DOA) estimation with L-shaped array. We enlarge the dimension of the covariance matrix by using the rotational invariance in conjunction with the property that the signal covariance matrix is real diagonal matrix. Estimation of DOAs is performed by processing this larger dimensional matrix. The simulation results indicate that our method can improve the DOA estimation accuracy.

1. Krim, H. and M. Viberg, "Two decades of array signal processing research," IEEE Signal Process. Mag., Vol. 13, No. 4, 67-94, 1996.
doi:10.1109/79.526899

2. Kikuchi, S., H. Tsuji, and A. Sano, "Pair-matching method for estimating 2-D angle with a cross-correlation matrix," IEEE Antennas Wireless Propag. Lett., Vol. 5, 35-40, 2006.
doi:10.1109/LAWP.2005.863610

3. Gu, J. F. and P. Wei, "Joint SVD of two cross-correlation matrices to achieve automatic pairing in 2-D angle estimation problems," IEEE Antennas Wireless Propag. Lett., Vol. 6, 553-556, 2007.
doi:10.1109/LAWP.2007.907913

4. Liang, J. L. and D. Liu, "Two L-shaped array-based 2-D DOAs estimation in the presence of mutual coupling," Progress In Electromagnetics Research, Vol. 112, 273-298, 2011.
doi:10.2528/PIER10071701

5. Nie, X. and L. P. Li, "A computationally efficient subspace algorithm for 2-D DOA estimation with L-shaped array," IEEE Signal Process. Lett., Vol. 21, No. 8, 971-974, 2014.
doi:10.1109/LSP.2014.2321791

6. Albagory, Y. A., "Performance of 2-D DOA estimation for stratospheric platforms communications," Progress In Electromagnetics Research M, Vol. 36, 109-116, 2014.
doi:10.2528/PIERM14033102

7. Roy, R. and T. Kailath, "ESPRIT — Estimation of signal parameters via rotational invariance techniques," IEEE Trans. Acoust., Speech, Signal Process., Vol. 37, No. 7, 984-995, 1989.
doi:10.1109/29.32276

8. Nie, X. and L. P. Li, "A novel 2-D pair-matching algorithm using the special relation between the transition matrices and the autocorrelation matrix of the signals," 2013 International Conference on Communications, Circuits and Systems (ICCCAS), 265-268, 2013.
doi:10.1109/ICCCAS.2013.6765333

9. Stoica, P. and A. Nehorai, "Performance study of conditional and unconditional direction-of-arrival estimation," IEEE Trans. Acoust., Speech, Signal Process., Vol. 38, No. 10, 1783-1795, 1990.
doi:10.1109/29.60109

10. Golub, G. H. and C. F. Van Loan, Matrix Computations, 3rd Edition, The John Hopkins University Press, Baltimore, MD, 1996.

Dr. Xi Nie

Dr. Ping Wei