Abstract
In this paper, we consider the problem of the nominal 2-D (azimuth and elevation) direction-of-arrival (DOA) estimation for coherently distributed source. This new approach is based on the rotation matrices of three parallel uniform linear arrays as deduced, which has decoupled the nominal 2-D DOA from those of angular spreads. The estimator makes use of the eigenvalue decomposition to beamspace data to estimate the nominal elevation DOA. And then using a new cross-correlation matrix, the nominal azimuth DOA estimates are decoupled from the elevation estimates and can be obtained with no searching. The proposed algorithm has lower computational complexity particularly when the radio of array size to the number of source is large, at the expense of negligible performance loss. Simulation results verify the effectiveness of the proposed method.
Similar content being viewed by others
References
Krekel, P., & Deprettere, E. (1989). A two-dimensional version of the matrix pencil method to solve the DOA problem. In European conference on circuit theory and design, pp. 435–439.
Gan L., Gu J., Wei P. (2008) Estimation of 2-D DOA for noncircular sources using simultaneous SVD technique. IEEE Antennas and Wireless Propagation Letters 7: 385–388
Costa, M., Koivunen, V., & Richter, A. (2009). Low complexity Azimuth and elevation for a arbitrary array configurations. In ICASSP 2009, pp. 2185–2188.
Li B., Peng C., Biswas S. (2008) Association of DOA estimation from two ULAs. IEEE Transaction on Instrumentation and Measurement 57(6): 1094–1101
Sakarya F. A., Hayes M. H. (1995) Estimation 2-D DOA using nonlinear array configurations. IEEE Transaction on Signal Processing 43(9): 2212–2216
Asztely, D., & Ottersten, B. (1998). The effects of local scattering on direction of arrival estimation with MUSIC and ESPRIT. In Proceedings of ICASSP1998, pp. 3333–3336.
Christou C. T., Jacyna G. M. (2005) Simulation of the beam response of distributed signals. IEEE Transacyion on Signal Processing 53(8): 3023–3031
Shahbazpanahi, S., & Valaee, S. (2007). A new approach to spatial power spectral density estimation for multiple incoherently distributed sources. In Proceedings of ICASSP2007, pp. 1133–1136.
Hassanien A., Shahbazpanahi S., Gershman A. B. (2004) A generalized capon estimator for localization of multiple spread sources. IEEE Transaction on Signal Processing 52(1): 280–283
Valaee S., Champagne B., Kabal P. (1995) Parameter localization of distributed sources. IEEE Transaction on Signal Processing 43: 2144–2153
Raich R., Goldberg J., Messor H. (2000) Bearing estimation for a distributed source: Modeling, inherent accuracy limitations and algorithm. IEEE Transaction on Signal Processing 48(2): 429–441
Trump T., Ottersten B. (1996) Estimation of nominal direction of arrival and angular spread using an array of sensors. IEEE Transaction on Signal Processing 45(1): 57–69
Meng Y., Stoica P., Wong K. M. (1996) Estimation of the direction of arrival of spatially dispersed signals in array processing. IEE Proceedings-Radar, Sonar and Navigation 43(1): 1–9
Lee J., Joung J., Kim J. D. (2008) A method for the direction-of-arrival estimation of incoherently distributed sources. IEEE Transaction on Vehicular Technology 57(5): 2885–2893
Shahbazpanahi S., Valaee S., Gershman A. B. (2004) A covariance fitting approach to parametric localization of multiple incoherently distributed sources. IEEE Transaction on Signal Processing 52(3): 592–600
Lee J., Song L., Kwon H., Lee S. R. (2003) Low-complexity estimation of 2D DOA for coherently distributed sources. Signal Processing, 83(8): 1789–1802
Souden M., Affes S., Benesty J. (2008) A two-stage approach to estimate the angles of arrival and the angular spreads of locally scatters sources. IEEE Transaction on Signal Processing 56(5): 1968–1983
Zoubir, A., Wang, Y., & Charge, P. (2007). Spatially distributed sources localization with a subspace based estimator without eigendecomposition. In Proceedings of ICASSP2007, pp. 1085–1088.
Shahbazpanahi S., Valaee S., Bastani H. (2001) Distributed source localization using ESPRIT algorithm. IEEE Transaction on Signal Processing 49(10): 2169–2178
Zoubir A., Wang Y., Charge P. (2008) Efficient subspace-based estimator for localization of multiple incoherently distributed source. IEEE Transaction on Signal Processing 56(2): 532–542
Gradshteyn I. S., Ryzhik I. M. (1980) Table of integrals, series, and products. Academic Press, Orlando, FL
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Han, Y., Wang, J., Zhao, Q. et al. A Fast Decoupled Nominal 2-D Direction-of-Arrival Estimation for Coherently Distributed Source. Wireless Pers Commun 71, 1743–1753 (2013). https://doi.org/10.1007/s11277-012-0907-9
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11277-012-0907-9