Proc. IEEE Int. Global
Nov. 29-Dec. 3, 2005, pp. 1505--1509, St. Louis, MO USA.
Upper Bounds on MIMO Channel Capacity with Channel
Frobenius Norm Constraints
Jeffrey G. Andrews,
Brian L. Evans
Wireless Networking and
The University of Texas at Austin,
Austin, TX 78712 USA
Draft of Paper -
OFDM System Design Research
at UT Austin
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
We also show that the bound is asymptotically tight for high SNR when
all user channels have the same Frobenius norm constraint and
are the numbers of transmit and receive antennas and
K is the number of users.
COPYRIGHT NOTICE: All the documents on this server
have been submitted by their authors to scholarly journals or conferences
as indicated, for the purpose of non-commercial dissemination of
The manuscripts are put on-line to facilitate this purpose.
These manuscripts are copyrighted by the authors or the journals in which
they were published.
You may copy a manuscript for scholarly, non-commercial purposes, such
as research or instruction, provided that you agree to respect these
Last Updated 02/20/06.