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Title:Communication Teams and Games on Fading Channels
Author(s):Kashyap, Akshay
Subject(s):Control with non-classical information
Instantaneous coding
Linear coding
Fading channels
Zero-sum mutual information games
Abstract:In this thesis we study a communication team problem and a zero sum game on multiple-antenna channels, both with and without fading. The team problem is one of designing an encoder and decoder to minimize the mean square error in the transmission of a Gaussian source over a multiple input, multiple output (MIMO) channel. We find the optimal encoder-decoder pair when the encoder is restricted to the class of linear transformations. We prove necessary and sufficient conditions for the optimality of linear coding on the fixed channel. For fading MIMO channels, we prove that linear coding, while suboptimal in general, is nearly optimal at low SNR. The zero sum game models communication in the presence of jamming by an intelligent jammer. The players are a communicator (the encoder and decoder together) on the one hand and a jammer on the other. The payoff of the game (to the communicator) is the mutual information between the input and the output of the channel. The jammer is also assumed to have access to the input of the channel. We prove that for a Rayleigh fading channel with side information at the decoder this additional information is useless to the jammer; the worst that the jammer can do is to inject into the channel a Gaussian interference independent of the legitimate channel input.
Issue Date:2003-10
Publisher:Coordinated Science Laboratory, University of Illinois at Urbana-Champaign
Series/Report:Coordinated Science Laboratory Report no. UILU-ENG-03-2225, DC-213
Genre:Technical Report
Sponsor:National Science Foundation / CCR 00-85917
Date Available in IDEALS:2018-04-03

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