'Institute of Electrical and Electronics Engineers (IEEE)'
Doi
Abstract
The transceiver optimization problem for MIMO
channels has been considered in the past with linear receivers as
well as with decision feedback (DFE) receivers. Joint optimization
of bit allocation, precoder, and equalizer has in the past been
considered only for the linear transceiver (transceiver with linear
precoder and linear equalizer). It has also been observed that
the use of DFE even without bit allocation in general results in
better performance that linear transceivers with bit allocation.
This paper provides a general study of this for transceivers
with the zero-forcing constraint. It is formally shown that when
the bit allocation, precoder, and equalizer are jointly optimized,
linear transceivers and transceivers with DFE have identical
performance in the sense that transmitted power is identical
for a given bit rate and error probability. The developments of
this paper are based on the generalized triangular decomposition
(GTD) recently introduced by Jiang, Li, and Hager. It will be
shown that a broad class of GTD-based systems solve the optimal
DFE problem with bit allocation. The special case of a linear
transceiver with optimum bit allocation will emerge as one of
the many solutions