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

Publiceringsår: 2008
Språk: Engelska
Publikation/Tidskrift/Serie: Technical Report LUTEDX/(TEAT-7162)/1-28/(2008)
Volym: TEAT-7162
Dokumenttyp: Rapport
Förlag: [Publisher information missing]


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.


  • Electrical Engineering, Electronic Engineering, Information Engineering


  • Radio Systems-lup-obsolete
  • Electromagnetic theory-lup-obsolete

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