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@inproceedings{faucris.114549644,
abstract = {The large-system decoupling property of a MAP estimator is studied when it
estimates the i.i.d. vector x from the observation
y=Ax+z with A
being chosen from a wide range of matrix ensembles, and the noise vector
z being i.i.d. and Gaussian. Using the replica method, we show
that the marginal joint distribution of any two corresponding input and output
symbols converges to a deterministic distribution which describes the
input-output distribution of a single user system followed by a MAP estimator.
Under the bRSB assumption, the single user system is a scalar channel with
additive noise where the noise term is given by the sum of an independent
Gaussian random variable and b correlated interference terms. As the bRSB
assumption reduces to RS, the interference terms vanish which results in the
formerly studied RS decoupling principle.},
author = {Bereyhi, Ali and MÃ¼ller, Ralf and Schulz-Baldes, Hermann},
booktitle = {2016 IEEE Information Theory Workshop (ITW)},
doi = {10.1109/ITW.2016.7606860},
faupublication = {yes},
peerreviewed = {unknown},
publisher = {IEEE},
title = {{RSB} decoupling property of {MAP} estimators},
venue = {Cambridge, London},
year = {2016}
}