Proc. IEEE Int. Global
Communications Conf.,
Nov. 29-Dec. 3, 2005, pp. 1505--1509, St. Louis, MO USA.
Upper Bounds on MIMO Channel Capacity with Channel
Frobenius Norm Constraints
Zukang Shen,
Jeffrey G. Andrews,
and
Brian L. Evans
Embedded Signal
Processing Laboratory,
Wireless Networking and
Communications Group,
The University of Texas at Austin,
Austin, TX 78712 USA
shen@ece.utexas.edu -
jandrews@ece.utexas.edu -
bevans@ece.utexas.edu
Draft of Paper -
Slides
OFDM System Design Research
at UT Austin
Abstract
The motivation of this paper is to find the class of channels that
provides the largest capacity with both the transmit power constraint and
channel Frobenius norm constraints. We study both the point-to-point case
and the broadcast case.
For point-to-point MIMO channels, the optimal channels must have
T* equal singular values, where T*
is dependent on the available transmit power and the channel Frobenius norm.
This result agrees with the previous work by Chiurtu et al.
For multiuser broadcast channels, we obtain an upper bound on the sum
capacity.
We also show that the bound is asymptotically tight for high SNR when
all user channels have the same Frobenius norm constraint and
Nt
>
K
Nr
where
Nt and
Nr
are the numbers of transmit and receive antennas and
K is the number of users.
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