Research Article
Typical Performance of Generalised Vector Channels
@INPROCEEDINGS{10.4108/ICST.WIOPT2008.3230, author={Roberto C. Alamino and David Saad}, title={Typical Performance of Generalised Vector Channels}, proceedings={1st International ICST Workshop on Physics Inspired Paradigms for Wireless Communications and Network}, publisher={IEEE}, proceedings_a={PHYSCOMNET}, year={2008}, month={8}, keywords={AWGN Collaboration Decoding Error correction codes Interference MIMO Multiuser channels Parity check codes Physics Relays}, doi={10.4108/ICST.WIOPT2008.3230} }- Roberto C. Alamino
David Saad
Year: 2008
Typical Performance of Generalised Vector Channels
PHYSCOMNET
IEEE
DOI: 10.4108/ICST.WIOPT2008.3230
Abstract
We introduce a general matrix formulation for multiuser channels and analyse the special cases of Multiple- Input Multiple-Output channels, channels with interference and relay arrays under LDPC coding using methods developed for the statistical mechanics of disordered systems. We use the replica method to provide results for the typical overlaps of the original and recovered messages and discuss their implications. The results obtained are consistent with belief propagation and density evolution results but also complement them giving additional insights into the information dynamics of these channels with unexpected effects in some cases.
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