An Introduction to Information Theory and Applications
An Introduction to Information Theory and Applications
An Introduction to Information Theory and Applications
By F. Bavaud, J. C. Chappelier, and J. Kohlas—This long
note contains a good survey of information theory and its applications. It
introduces the basic ideas of uncertainty and information, then also the more
practical extensions such as optimal coding schemes, followed by the theories
underlying versions of stationary processes and Markov chains. Other challenges,
as the note addresses, pertain to noisy transmission environments in coding.
Highlighted here are several advanced topics that follow, including,
importantly, error-correcting codes and cryptography. The resource will give
both a theoretical background and a practical overview of how to encode,
transmit, and secure information effectively. It is a very important guide for
those who seek a deep understanding of information theory and how it relates to
real problems of communication and data processing.
By F. Bavaud, J. C. Chappelier, and J. Kohlas—This long
note contains a good survey of information theory and its applications. It
introduces the basic ideas of uncertainty and information, then also the more
practical extensions such as optimal coding schemes, followed by the theories
underlying versions of stationary processes and Markov chains. Other challenges,
as the note addresses, pertain to noisy transmission environments in coding.
Highlighted here are several advanced topics that follow, including,
importantly, error-correcting codes and cryptography. The resource will give
both a theoretical background and a practical overview of how to encode,
transmit, and secure information effectively. It is a very important guide for
those who seek a deep understanding of information theory and how it relates to
real problems of communication and data processing.
The lecture notes
of Prof. Dr. rer. nat. Rudolf Mathar give a clear and very compact introduction
into information theory. These notes are divided into three key parts: the
basics of information theory, source coding, and information channels. The
introduction treats the basic notions and definitions in information theory in a
very solid way. Source coding gives methods and different techniques that are
used in encoding information, while the information channels section discusses
the pattern in which information is carried and noise that affects it. This
resource is a good pick for students and professionals who seek structure in the
principles of information theory and its applications from a respected expert in
the field.
Author(s): Prof. Dr. rer. nat. Rudolf Mathar, Institute
for Theoretical Information Technology Kopernikusstr, Germany
This note serves as a comprehensive guide to fundamental concepts in
information theory and coding. This pdf provides discrete probability theory,
information theory, and coding principles. Beginning with Shannon's measure of
information, then delves into the efficient coding of information, the
methodology of typical sequences is introduced, emphasizing the distinction
between lossy and lossless source encoding. The text also discusses coding for
noisy digital channels, block coding principles and tree and trellis coding
principles.
This
lecture note navigates through information theory, statistics and measure theory. It
covers fundamental concepts such as definitions, chain rules, data processing
inequalities, and divergences and extends to optimal procedures, LeCam’s and
Fano’s inequalities, and operational results like entropy and source coding. It
also focus on exponential families and statistical modeling, fitting procedures,
and lower bounds on testing parameters, sub-Gaussian and sub-exponential random
variables, martingale methods, uniformity covering topics such as
Kullback-Leibler divergence, PAC-Bayes bounds, interactive data analysis, and
error bounds.
It serves as a basis for
everything, from the very basics of thermodynamics and information theory to
thermodynamic potentials and distributions, principles of irreversibility, phase
space evolution, and beyond. The book informs the readers about the very basics
of information theory: basic notions, basic definitions, and applications. It
also offers a fresh perspective on the second law of thermodynamics and quantum
information, and insights into the modern view of how information theory is
intertwined with the laws of physics. This book will be very useful to anyone
who wants to gain an understanding of the basic issues in both thermodynamics
and information theory and their intersection in current usage.
Prof. Tsachy Weissman's
lecture notes are an excellent summary of the core topics in the subject of
information theory. The document initiates with a basic overview of entropy and
relative entropy, followed by mutual information and asymptotic equipartition
property. Further, it discusses communications theory, channel capacity, and the
method of types. It also covers key topics such as typicality-conditioned and
joint, lossy compression, and rate-distortion theory. The notes also include
joint source-channel coding, where there is quite a good grasp of the principles
and applications of information theory. These notes will be very helpful for
students and professionals looking forward to structured, comprehensive
knowledge about the subject.