The MIMO Antenna as a Communication Channel
Marco D. Migliore
(1)
(1) DAEIMI, University of Cassino, Cassino, Italy, http:\\www.unicas.it
Introduction
The understanding of the connections between information theory and
electromagnetic theory is a new topic which is attracting a fast growing number of
researchers [1]-[5]. This work represents a further contribution toward the
understanding of the connections between these two theories. In particular, in this
contribution the antenna is discussed from an usual point of view, in which the
antenna itself is treated as a communication channel. This approach allows to
understand in a simple way how antennas affect the throughput of a MIMO
system. Furthermore, this approach seems to be particularly useful for identifying
the intrinsic informational limitations of a MIMO antenna.
Ω
TX
RX
Fig 1: MIMO system geometry
S
x
A
J
M
E
y
F +
n
O
Fig 2: MIMO channel scheme
The communication channel approach to MIMO antennas
We consider the model of a “pure spatial” communication channel introduced in
[2], properly modified to consider a stocastic environment. Since in this
communication system information are coded in the spatial variation of the
electromagnetic field, instead of temporal variation, this model is particularly
suitable to study the behaviour of communication systems in the spatial domain.
The input x (Fig 2) represents the primary excitations of the TX antennas. This
quantity is the input of the “source distribution” system S, the output of which is
the current density J in the space. The current density J is the input of the
operator A modelling the radiating process relating J to the field E on a given
observation manifold. The measurement system M allows to obtain the measured
quantity y. Paper [2] was focused on the identification of the informational limits
regarding sources with a given spatial extension, and the operator M (that models
the receiving antenna F and (spatially) AWG noise n) was supposed the identity
operator plus noise. This work is instead focused on the informational limits
regarding the antenna e.g the operator F. In the following we will suppose that F
is a linear operator, e.g. the antenna does not include any non-linear devises, like
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