An introduction to information Theory and Entropy
Om Carter-Introduction to information theory and entropy: It goes in deep to do some basic concepts of information theory, focusing on the concept of entropy and its applications. It does so by first investigating the measure of complexity and the elementary theories of probability before introducing some key ideas in information theory. It ranges from basic issues, such as entropy theory and the Gibbs inequality, up to Shannon's communication theory but also to practical applications in many diversified fields. Other topics dealt with are Bayes Theorem, analog channels, the Maximum Entropy Principle, and applications to biology and physics. The Kullback-Leibler information measure will be discussed in trying to cast light upon quantification of information and its relations with different fields of science. This book should be ideal for the general reader interested in information theory and its immense areas of application..
Author(s): Tom Carter
139 Pages 
Lecture Notes on Information Theory by Prof. Dr. rer. nat. Rudolf Mathar
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
59 Pages
An introduction to information Theory and Entropy
Om Carter-Introduction to information theory and entropy: It goes in deep to do some basic concepts of information theory, focusing on the concept of entropy and its applications. It does so by first investigating the measure of complexity and the elementary theories of probability before introducing some key ideas in information theory. It ranges from basic issues, such as entropy theory and the Gibbs inequality, up to Shannon's communication theory but also to practical applications in many diversified fields. Other topics dealt with are Bayes Theorem, analog channels, the Maximum Entropy Principle, and applications to biology and physics. The Kullback-Leibler information measure will be discussed in trying to cast light upon quantification of information and its relations with different fields of science. This book should be ideal for the general reader interested in information theory and its immense areas of application..
Author(s): Tom Carter
139 Pages
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.
Author(s): Gregory Falkovich
165 Pages
Information Theory Lecture Notes
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.
Author(s): Prof. Tsachy Weissman
75 Pages
Information Theory for Data Communications and Processing
This is a wide-ranging text by Shlomo Shamai and Abdellatif Zaidi, covering both foundational and advanced topics in information theory applied to data communications and processing. It discusses basic issues, such as information bottleneck problems, unsupervised clustering via methods of the variational information bottleneck, and rate-distortion analysis. It proceeds to get into subjects of a higher level of difficulty: non-orthogonal eMBB and URLLC radio access, robust baseband compression techniques, and amplitude-constrained MIMO channels. Efficient algorithms have been derived for multicasting, content placement in cache networks, and the fundamental limits of caching. The title will be a ready reference for researchers and practitioners interested in the theory and practice of modern communication systems, comprehensively covering recent advancement efforts and applications in information theory.
Author(s): Shlomo Shamai, Abdellatif Zaidi
296 Pages
Information Theory and Coding cam
This is a PDF document written by J.G. Daugman on the fundamentals of the theory of information and coding. Beginning with the very basic concept of probability and uncertainty, and the concept of information, it arrives at entropies and their meaning. It deals with the source coding theorems: prefix, variable-length, and fixed-length codes. It looks into several kinds of channels, their properties, noise, and channel capacity. The further topics delve into detail with continuous information, noisy channel coding theorems, Fourier series elaborated on in making matters of convergence, orthogonal representation, and useful Fourier theorems. The text also expands into aspects such as sampling and aliasing, DFT, FFT algorithms, and the quantized degrees-of-freedom in continuous signals and concludes with discussions on the Gabor-Heisenberg-Weyl uncertainty relation and Kolmogorov complexity for a general overview of some of the key principles of information theory and coding.
Author(s): J G Daugman
75 Pages
