In this thesis, we study wireless
multiuser communication
systems in the regime of
low spectral efficiencies,
where users and the
multiple access point are equipped
with antenna arrays. Our first
contribution is to develop
a generic mathematical
framework which captures
tradeoffs between fundamental
parameters of a low power
multiuser system: spectral
efficiency and energy per
information bit, of each user.
Using the framework that we
developed we next consider variable
data rate multiple access problem,
in low power systems,
where we remove the usual
assumption of tight user coordination,
and we allow users to select their own data rates and transmit powers,
without coordinating, and without negotiating with the
access point. Here, every user has a
set of low power codebooks,
that we name the policy, which accommodates
a range of small spectral efficiencies,
but particular data rates of other users are
assumed to be an unknown - compound parameter - at each mobile.
In antenna-array
transmission and reception, we demonstrate
an elegant interpretation of users policies, where each policy
is represented by partitioning spatial dimensions into
blocks, and each block is dedicated to a different user.
Finally, we address the paradigm of
statistically correlated antenna arrays, where
we derive the effective number of
uncorrelated receive spatial dimensions,
which we partition to represent users policies.
As more correlated antennas are packed into
a limited area we show that effective
receive dimensionality converges
to a finite limit which we evaluate
for some simple geometries.
Monday, May 03, 2004
1:30 p.m. - 4:00 p.m. in DH 3092.