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Angles of Arrival Estimation with Unitary Partial Propagator

Authors: Khmou, Youssef; Safi, Said;

Angles of Arrival Estimation with Unitary Partial Propagator

Abstract

{"references": ["Hamid Krim and Mats Viberg,\" Two Decades of Array Signal Processing Research\", IEEES Signal Processing Magazine, vol. 13, pp. 67-94, 1996.", "Schimdt, R.O, \" Multiple Emitter Location and Signal Parameter Estimation,\" IEEE Trans. On Antennas Propagation, Vol.34, No.3, March 1986,pp.276-280.", "R. Roy and T. Kailath, ESPRIT-Estimation of Signal Parameters via Rotational Invariance Techniques, IEEE Transactions on Acoustics, Speech and Signal Processing, Vol. 37, No. 17, 1989, pp. 984-995.", "S. Marcos, A. Marsal and M. Benidir, The Propagator Method for Source Bearing Estimation, Signal Process-ing, Vol. 42, No. 2, 1995, pp. 121-138.", "Munier, J.; Delisle, G.-Y., \"Spatial analysis using new properties of the cross-spectral matrix,\" Signal Processing, IEEE Transactions on , vol.39, no.3, pp.746,749, Mar 1991.", "J. Chen, Y. Wu, H. Cao and H. Wang, \"Fast Algorithm for DOA Estimation with Partial Covariance Matrix and without Eigen decomposition,\" Journal of Signal and Information Processing, Vol. 2 No. 4, 2011, pp. 266-269.", "Jisheng Dai, Weichao Xu, Dean Zhao, Real-valued DOA estimation for uniform linear array with unknown mutual coupling, Signal Processing, Volume 92, Issue 9, September 2012, Pages 2056-2065, ISSN 0165-1684.", "K.C.Huarng,C.C.Yeh, A unitary transformation method for angle-of-arrival estimation, IEEE Transactions on Signal Processing39 (4)(1991) 975\u2013977.", "Lutao Liu, Qingbo Ji, Yilin Jiang, \"Improved Fast DOA Estimation Based on Propagator Method\", APSIPA ASC 2011 Xi'an.\n[10]\tY. Han, J.Wang, Y. Xue, and X. Song, \" The DOA estimation of incoherently distributed source using the propagator method\", ISAP 2005, Seoul, Korea, pp.645-648, Aug. 2005."]}

In this paper, we investigated the effect of real valued transformation of the spectral matrix of the received data for Angles Of Arrival estimation problem. Indeed, the unitary transformation of Partial Propagator (UPP) for narrowband sources is proposed and applied on Uniform Linear Array (ULA). Monte Carlo simulations proved the performance of the UPP spectrum comparatively with Forward Backward Partial Propagator (FBPP) and Unitary Propagator (UP). The results demonstrates that when some of the sources are fully correlated and closer than the Rayleigh angular limit resolution of the broadside array, the UPP method outperforms the FBPP in both of spatial resolution and complexity.

Keywords

Subspace, Narrowband, Unitary Operator., Real valued transformation, DOA, Propagator, Uniform Linear Array

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