Spherical Vector Wave Expansion of Gaussian Electromagnetic Fields for Antenna-Channel Interaction Analysis

Andres Alayon Glazunov, Mats Gustafsson, Andreas Molisch, Fredrik Tufvesson, Gerhard Kristensson

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In this paper we introduce an approach to analyze the interaction between
antennas and the propagation channel. We study both the antennas and the
propagation channel by means of the spherical vector wave mode expansion of
the electromagnetic field. Then we use the expansion coefficients to study
some properties of general antennas in those fields by means of the antenna
scattering matrix. The focus is on the spatio-polar characterization of
antennas, channels and their interactions. We provide closed form
expressions for the covariance of the field multi-modes as function of the
Power Angle Spectrum (PAS) and the channel cross-polarization ratio (XPR). A
new interpretation of the Mean Effective Gains (MEG) of antennas is also
provided. The maximum MEG is obtained by conjugate mode matching between the
antennas and the channel; we also prove the (intuitive) results that the
optimum decorrelation of the antenna signals is obtained by the excitation
of orthogonal spherical vector modes.
Original languageEnglish
Publisher[Publisher information missing]
Number of pages28
Publication statusPublished - 2008

Publication series

NameTechnical Report LUTEDX/(TEAT-7162)/1-28/(2008)

Bibliographical note

Published version: IEEE Transactions on Antennas and Propagation, Vol. 57, No. 7, pp. 2055-2067, 2009.

Subject classification (UKÄ)

  • Electrical Engineering, Electronic Engineering, Information Engineering


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