Three-dimensional multipath shape factors for spatial modeling of wireless channels

Authors:
Dimitar G. Valchev;David Brady
Affiliations:
Department of Electrical and Computer Engineering, Northeastern University, Boston, MA;Department of Electrical and Computer Engineering, Northeastern University, Boston, MA
Venue:
IEEE Transactions on Wireless Communications
Year:
2009

Citing 2
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Abstract

This paper develops a generalized theory of multi-path shape factors used to study the small-scale fading statistics in three-dimensional non-omnidirectional multipath channels. Previous results for horizontal propagation channels are special cases of the present framework when the multipath angular power density (APD) and the travel direction of the mobile unit are confined to a plane. The three-dimensional multipath shape factors are derived in terms of the first three degrees of unnormalized spherical harmonics of the APD. Based on the so derived shape factors, analytical expressions for the level crossing rate, average fade duration and approximate envelope correlation are derived for a Rayleigh fading three-dimensional channel.