RSB decoupling property of MAP estimators

Beitrag bei einer Tagung

Details zur Publikation

Autor(en): Bereyhi A, Müller R, Schulz-Baldes H
Verlag: IEEE
Jahr der Veröffentlichung: 2016
Tagungsband: 2016 IEEE Information Theory Workshop (ITW)
Sprache: Englisch


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.

FAU-Autoren / FAU-Herausgeber

Bereyhi, Ali
Lehrstuhl für Digitale Übertragung
Müller, Ralf Prof. Dr.-Ing.
Professur für Informationsübertragung
Schulz-Baldes, Hermann Prof. Dr.
Professur für Mathematik

Autor(en) der externen Einrichtung(en)
NTNU Trondheim - Norwegian University of Science and Technology


Bereyhi, A., Müller, R., & Schulz-Baldes, H. (2016). RSB decoupling property of MAP estimators. In 2016 IEEE Information Theory Workshop (ITW). Cambridge, London, GB: IEEE.

Bereyhi, Ali, Ralf Müller, and Hermann Schulz-Baldes. "RSB decoupling property of MAP estimators." Proceedings of the 2016 IEEE Information Theory Workshop (ITW), Cambridge, London IEEE, 2016.


Zuletzt aktualisiert 2018-19-07 um 10:53