Description:
The course deals with fundamental limits of multiuser
communications. It covers an overview of existing results for popular channel
models and describes approaches to prove these results. The effect of fading is
of special interest. A more detailed description is as follows:
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Chapter
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Description
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Week #
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Introduction and Preliminaries
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Fano’s Inequality, differential
entropy of a continuous random variables, Entropy inequalities, Data Processing Theorem, Typical Sequences,
Packing Lemma,
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1
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The Multiple Access Channel (MAC)
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Gaussian MAC, Gaussian MAC with fading known or not at the terminals,
Ergodic Capacity Region, Delay-Limited Capacity Region
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2 and 3
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The Broadcast Channel (BC)
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Gaussian BC, Gaussian BC with fading, Duality MAC-BC
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4 and 5
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The Interference Channel (IC)
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Most known upper and lower bounds, strong interference regime, weak
interference regime, Gaussian IC,
inseparability of IC with fading
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6 and 7
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Information Theoretic Secrecy
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Wiretap channel (WTC), degraded WTC, Gaussian WTC, Effect of fading
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8
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Prerequisite:
One or more of the following courses: EE 241, EE 244, EE
341, EE 340. Exceptions may be made based on the consent of the instructor.
Homework (20%):
There will be 5 homeworks covering the 5 topics.
Evaluation:
There will be a mid-term exam (40% of the global grade) and
a final project (40% of the global grade).
References:
1. Thomas
M. Cover and Joy A. Thomas. (1991). Elements of
Information Theory. Wiley-interscience, New York, NY, USA.
2. David Tse and
Pramod Viswanath. (2005). Fundamentals of Wireless
Communication. [Online]. Cambridge: Cambridge University Press.
3. Gerhard
Kramer. (2008).Topics in Multi-User Information Theory. Foundations and
Trends in Communications and Information Theory: Vol. 4: No. 4–5, pp 265-444.
4. Matthieu Bloch and João Barros. (2011). Physical-Layer Security: From Information Theory to
Security Engineering. Cambridge
University Press.
5. Abbas
El Gamal and
Young-Han Kim. (2012). Network Information Theory. Cambridge University
Press.
6. Andrea
Goldsmith. (2005). Wireless Communications. Cambridge University
Press.