A three-dimensional spatial fading correlation model for uniform rectangular arrays

A closed-form expression for the spatial fading correlation function of a uniform rectangular array (URA) in a three-dimensional (3D) multipath channel is derived. The fading correlation function is expressed in terms of both the azimuth and elevation angle of arrival as well as the antenna spacing and geometry of the URA. Verification is achieved by means of computer simulation where the theoretical and simulation results are shown to be in good agreement. Our results demonstrate that azimuth spread (AS) is the primary determinant of the antenna correlation and the impact of the elevation spread is mainly noticeable at low AS values. The results obtained are vital for capacity analysis in multiple-input multiple-output systems, as well as for sensitivity analysis of the antenna array under study.

[1]  I. S. Gradshteyn,et al.  Table of Integrals, Series, and Products , 1976 .

[2]  T. Aulin.  A modified model for the fading signal at a mobile radio channel , 1979, IEEE Transactions on Vehicular Technology.

[3]  J. H. Winters,et al.  Effect of fading correlation on adaptive arrays in digital mobile radio , 1994 .

[4]  Patrick Claus F. Eggers,et al.  Penetration effects on XPD with GSM 1800 handset antennas, relevant for BS polarization diversity for indoor coverage , 1998, VTC '98. 48th IEEE Vehicular Technology Conference. Pathway to Global Wireless Revolution (Cat. No.98CH36151).

[5]  E. Bonek,et al.  Directional macro-cell channel characterization from urban measurements , 2000 .

[6]  Preben E. Mogensen,et al.  A stochastic MIMO radio channel model with experimental validation , 2002, IEEE J. Sel. Areas Commun..

[7]  R. Michael Buehrer,et al.  Spatial fading correlation function of circular antenna arrays with Laplacian energy distribution , 2002, IEEE Communications Letters.

[8]  Outi Kivekäs,et al.  Angular power distribution and mean effective gain of mobile antenna in different propagation environments , 2002, IEEE Trans. Veh. Technol..

[9]  K. Pedersen,et al.  Angle-of-arrival statistics for low resolution antennas , 2002 .

[10]  John Thompson,et al.  The effect of various channel conditions on the performance of different antenna array architectures , 2003, 2003 IEEE 58th Vehicular Technology Conference. VTC 2003-Fall (IEEE Cat. No.03CH37484).