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A geometric model for fading correlation in multipath radio channels

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2 Author(s)
D. R. Van Rheeden ; Sch. of Eng. & Appl. Sci., Southern Methodist Univ., Dallas, TX, USA ; S. C. Gupta

We derive expressions for the correlation of fading between a pair of antenna elements in a wireless communication system. Some prior researchers have assumed uniformly distributed signal angles of arrival with a specified beamwidth. Here, we derive a closed form expression for the angle of arrival density at a cellular base station where local scatterers are uniformly distributed in a circle about the mobile. We show that the density can be parameterized in terms of the ratio of the base-to-mobile distance to the scattering circle radius, D/R. We use this density to derive the correlation of fading between a pair of antenna elements. We then derive a closed form approximation for the correlation of fading and show that the approximation improves with increasing D/R. We show that if the signal arrives broadside to the antenna elements, then the approximation is exact

Published in:

Communications, 1998. ICC 98. Conference Record. 1998 IEEE International Conference on  (Volume:3 )

Date of Conference:

7-11 Jun 1998