Fang Xu, Timothy N. Davidson, Jian-Kang Zhang and K. Max Wong,
Design of Block Transceivers
with Decision Feedback Detection
IEEE Transactions on Signal Processing,
54(3):965-978, March 2006.
This paper presents a method for jointly designing the transmitter-receiver pair in a block-by-block communication system that employs (intrablock) decision feedback detection. We provide closed-form expressions for transmitter-receiver pairs that simultaneously minimize the arithmetic mean squared error (MSE) at the decision point (assuming perfect feedback), the geometric MSE, and the bit error rate of a uniformly bit-loaded system at moderate-to-high signal-to-noise ratios. Separate expressions apply for the "zero-forcing" and "minimum MSE" (MMSE) decision feedback structures. In the MMSE case, the proposed design also maximizes the Gaussian mutual information and suggests that one can approach the capacity of the block transmission system using (independent instances of) the same (Gaussian) code for each element of the block. Our simulation studies indicate that the proposed transceivers perform significantly better than standard transceivers and that they retain their performance advantages in the presence of error propagation.
A condensed version of the portion of this work concerning the MMSE decision feed back detector appears in
Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, Philadelphia, March 2005.
An alternative perspective on that portion of the work appears as
J.-K. Zhang, T. N. Davidson, and K. M. Wong. Uniform decomposition of mutual information using MMSE decision feedback detection. In Proceedings of the 2005 IEEE International Symposium on Information Theory, pages 714-718, Adelaide, September 2005. (pdf file)
This work is related to earlier work on linear zero-forcing and MMSE equalizers.
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