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The index coding problem provides a simple yet rich model for
several important engineering tasks such as satellite
communication, content broadcasting, distributed caching,
device-to-device relaying, and interference management. This
monograph provides a broad overview of this fascinating subject,
focusing on the simplest form of multiple-unicast index coding. The
main objective in studying the index coding problem are to
characterize the capacity region for a general index coding
instance in a computable expression and to develop the coding
scheme that can achieve it. Despite their simplicity, these two
closely related questions are extremely difficult and precise
answers to them, after twenty years of vigorous investigation, are
still in terra incognita. There are, nonetheless, many elegant
results that shed light on the fundamental challenges in
multiple-unicast network communication and expose intriguing
interplay between coding theory, graph theory, and information
theory. This monograph contains a concise survey of these results
in a unified framework. It further discusses the relation to
Network Coding and Distributed Storage. Fundamentals of Index
Coding gives the reader a concise, yet comprehensive, overview of
the work undertaken on this important topic; its relationship to
adjacent areas and lays the groundwork for future research. It is a
valuable starting point for all researchers and students in
Information Theory.
This comprehensive treatment of network information theory and its
applications provides the first unified coverage of both classical
and recent results. With an approach that balances the introduction
of new models and new coding techniques, readers are guided through
Shannon's point-to-point information theory, single-hop networks,
multihop networks, and extensions to distributed computing,
secrecy, wireless communication, and networking. Elementary
mathematical tools and techniques are used throughout, requiring
only basic knowledge of probability, whilst unified proofs of
coding theorems are based on a few simple lemmas, making the text
accessible to newcomers. Key topics covered include successive
cancellation and superposition coding, MIMO wireless communication,
network coding, and cooperative relaying. Also covered are feedback
and interactive communication, capacity approximations and scaling
laws, and asynchronous and random access channels. This book is
ideal for use in the classroom, for self-study, and as a reference
for researchers and engineers in industry and academia.
This comprehensive treatment of network information theory and its
applications provides the first unified coverage of both classical
and recent results. With an approach that balances the introduction
of new models and new coding techniques, readers are guided through
Shannon's point-to-point information theory, single-hop networks,
multihop networks, and extensions to distributed computing,
secrecy, wireless communication, and networking. Elementary
mathematical tools and techniques are used throughout, requiring
only basic knowledge of probability, whilst unified proofs of
coding theorems are based on a few simple lemmas, making the text
accessible to newcomers. Key topics covered include successive
cancellation and superposition coding, MIMO wireless communication,
network coding, and cooperative relaying. Also covered are feedback
and interactive communication, capacity approximations and scaling
laws, and asynchronous and random access channels. This book is
ideal for use in the classroom, for self-study, and as a reference
for researchers and engineers in industry and academia.
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