Some Information Theoretic Aspects of Reliable Communication With Transmitter Side Information
Liu, Tie
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Permalink
https://hdl.handle.net/2142/80979
Description
Title
Some Information Theoretic Aspects of Reliable Communication With Transmitter Side Information
Author(s)
Liu, Tie
Issue Date
2006
Doctoral Committee Chair(s)
Moulin, Pierre
Department of Study
Electrical Engineering
Discipline
Electrical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Electronics and Electrical
Language
eng
Abstract
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.
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