Advanced Topics in Information Theory (IT-A)


Dozent:
Prof. Dr.-Ing. R. Müller

Zeit:
Donnerstag am 14:15 - 15:45; Freitag am 14:30 - 16:00

Ort:
N 5.17

Übung:
Zeit und Ort: n.V.

Sprache:
Englisch

Organisation:
3 SWS Vorlesung, 1 SWS Übung, Sommersemester

ECTS Informationen:
ECTS credits: 5 Credits (Vorlesung+Übung)

Studienfächer/Studienrichtungen:
WF CE-MA-TA-IT ab 2
WF CE-MA-AM ab 2
WPF EEI-BA-INT 5-6
WPF EEI-MA-INT 1-4
WPF SIM-DH 7-10
WPF SIM-MA 1-4
WPF CME-MA ab 2
WPF IuK-MA-ÜTMK-EEI 1-4
WPF BPT-MA-E 1-3

Voraussetzungen:
Informationstheorie

Anmeldung über StudOn

Inhalt:
The lecture provides a deep understanding of information theory by explaining the advanced topics of this subject, including:
Rate region, multiuser source coding, time sharing, multiuser channel codes, multiple-access channel (MAC), capacity region, mutual information versus minimum-mean squared error, Gaussian MAC , power region, Gaussian vector MAC, source coding with side information, degraded broadcast channel, Gaussian broadcast-MAC duality, Gaussian vector broadcast channel, dirty-paper coding, physically degraded relay channel, scalar Gaussian relay channel, Gaussian interference channel, cut-set bound, fading channels, multiuser water filling, block fading, diversity, user diversity, capacity versus outage, near-far gain, dual antenna arrays, Wishart distribution, factor iid model, Kronecker model, convergence of random variables, semi-circle law, quarter circle law, full circle law, Haar distribution, Marchenko-Pastur distribution, Stieltjes transform, Girko’s law, unitary invariance, freeness, free convolution, R-transform, free central limit theorem, free Poisson limit theorem, subordination, S-transform, R-diagonal random matrices, R-diagonal free convolution, Haagerup-Larsen law, operator-valued freeness, linearization of noncommutative polynomials, free Fourier transform.

Recommended Literature:
Cover, T. and Thomas, J. Elements of Information Theory, 2nd ed., Wiley, Hoboken, 2006.
Couillet, R. and Debbah, M. Random Matrix Methods for Wireless Communications, Cambridge Univ. Press, Cambridge, 2011.