Three-dimensional antennas array for the estimation of direction of arrival

Direction of arrival (DOA) estimation of multiple sources using an antenna array becomes very important in wireless communications. It is well known that the quality of the DOA estimation depends on the selected technique and algorithm but it also depends on the geometrical configuration of the antenna array used during the estimation. The authors study the influence of the antenna array configurations on the Cramer-Rao bounds (CRB) of the 2D DOA estimation problem as well as on the performance of the well known MUSIC algorithm. For this we consider the most known planar arrays and we propose a 2-L shaped 3D antennas array. It appears that this 3D antennas array outperforms the other configurations as well as that already proposed in Tayem and Kwon (2005), in terms of both the CRB and the MUSIC root mean square estimation error and also removes ambiguities from the estimation MUSIC pseudo spectrum.

[1]  Houcem Gazzah,et al.  Cramer-Rao bounds for antenna array design , 2006, IEEE Transactions on Signal Processing.

[2]  P. Papazian,et al.  PCS band direction-of-arrival measurements using a 4 element linear array , 2000, Vehicular Technology Conference Fall 2000. IEEE VTS Fall VTC2000. 52nd Vehicular Technology Conference (Cat. No.00CH37152).

[3]  Thomas Kailath,et al.  ESPRIT-estimation of signal parameters via rotational invariance techniques , 1989, IEEE Trans. Acoust. Speech Signal Process..

[4]  Y. Zhang,et al.  A Deflation Approach to Direction of Arrival Estimation for Symmetric Uniform Linear Array , 2006, IEEE Antennas and Wireless Propagation Letters.

[5]  Randolph L. Moses,et al.  On the geometry of isotropic arrays , 2003, IEEE Trans. Signal Process..

[6]  M. Viberg,et al.  Two decades of array signal processing research: the parametric approach , 1996, IEEE Signal Process. Mag..

[7]  T. Kailath,et al.  A subspace rotation approach to signal parameter estimation , 1986, Proceedings of the IEEE.

[8]  N. Tayem,et al.  L-shape 2-dimensional arrival angle estimation with propagator method , 2005 .

[9]  H.M. Kwon,et al.  Improved 2-D Root MUSIC for Non-Circular Signals , 2006, Fourth IEEE Workshop on Sensor Array and Multichannel Processing, 2006..

[10]  H. V. Trees.  Detection, Estimation, And Modulation Theory , 2001 .

[11]  B.D. Van Veen,et al.  Beamforming: a versatile approach to spatial filtering , 1988, IEEE ASSP Magazine.

[12]  Y. Hua,et al.  An L-shaped array for estimating 2-D directions of wave arrival , 1991 .

[13]  Ilan Ziskind,et al.  Maximum likelihood localization of multiple sources by alternating projection , 1988, IEEE Trans. Acoust. Speech Signal Process..

[14]  Simon Haykin,et al.  Impact of linear array geometry on direction-of-arrival estimation for a single source , 1991 .

[15]  Hamid Reza Karimi,et al.  Comparison of the ultimate direction-finding capabilities of a number of planar array geometries , 1997 .

[16]  T. Moon.  The expectation-maximization algorithm , 1996, IEEE Signal Process. Mag..

[17]  R. O. Schmidt,et al.  Multiple emitter location and signal Parameter estimation , 1986 .