Some Information Theoretic Aspects of Reliable Communication With Transmitter Side Information

For the optimality of the separation architecture, we consider the problem of determining the capacity region of the multiple-input-multiple-output (MIMO) Gaussian broadcast channel. Our main result is a new extremal inequality as the underpinning mathematical structure for the MIMO Gaussian broadcast channel problem. In one special case, this inequality yields a generalization of the classical vector entropy-power inequality (EPI). In another special case, this inequality sheds insight into the problem of maximizing the differential entropy of the sum of two jointly distributed random variables.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Electrical Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Liu, Tie

Contributors dc:contributor

• Moulin, Pierre

• Engineering, Electronics and Electrical

Language dc:language

eng

Identifier

(MiAaPQ)AAI3242923

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/80979