Physical Modeling of MIMO Antennas and Channels by Means of the Spherical Vector Wave Expansion

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

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Abstract

In this paper we propose a new physically motivated model that allows to study the interaction between the antennas and
the propagation channel for Multiple-Input Multiple-Output (MIMO) systems.
The key tools employed in the model are the expansion coefficients of the electromagnetic field in
spherical vector waves and the scattering matrix representation of the
properties of the antenna. We derive the expansion of the MIMO
channel matrix, H, in spherical vector wave modes of
the electromagnetic field of the antennas as well as the propagation channel. We also introduce the channel scattering dyadic, C,
with a corresponding correlation model for co- and cross-polarized elements
and introduce the concept of mode-to-mode channel mapping, the
M-matrix, between the receive and transmit antenna modes. The M-matrix maps the modes excited by the
transmitting antenna to the modes exciting the receive antennas and vice
versa. The covariance statistics of this M-matrix are expressed as a function
of the double-directional power-angular spectrum (PAS) of co- and
cross-polarized components of the electromagnetic field. Our approach
aims at gaining insights into the physics governing the interaction between
antennas and channels and it is useful for studying the
performance of different antenna designs in a specified propagation channel
as well as for modeling the propagation channel. It can furthermore be used to
quantify the optimal properties of antennas in a given propagation channel.
We illustrate the developed methodology by analyzing the interaction of a 2x2 system of slant polarized half-wavelength dipole antennas with
some basic propagation channel models.
Original languageEnglish
Publisher[Publisher information missing]
Number of pages31
VolumeTEAT-7177
Publication statusPublished - 2009

Publication series

NameTechnical Report LUTEDX/(TEAT-7177)/1-31/(2009)
VolumeTEAT-7177

Bibliographical note

Published version: IET Microwaves, Antennas and Propagation, Vol. 4, No. 6, pp. 778-791, 2010.

Subject classification (UKÄ)

  • Electrical Engineering, Electronic Engineering, Information Engineering

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