X channel information theory book

Considered the founding father of the electronic communication age, claude shannons work ushered in the digital revolution. In the case of communication of information over a noisy channel, this. Example problem set 1 let x and y represent random variables with associated probability distributions p x and py, respectively. The last few years have witnessed the rapid development of network coding into a research eld of its own in information science. Network information theory cambridge university press. Claude shannon father of the information age youtube. By nononsense i mean it does not have chapters like most books out there on information and physics, information and art, or all sorts of pseudo scientific popularizations of information theory.

Abstractly, information can be thought of as the resolution of uncertainty. Informationtheory lecture notes stanford university. Information theory studies the quantification, storage, and communication of information. Developed by claude shannon and norbert wiener in the late 1940s, information theory, or statistical communication theory, deals with the theoretical underpinnings of a wide range of communication devices.

The discrete memory less channel serves as a statistical model with an input x. Information theory is the science of operations on data such as compression, storage, and com. Information theory studies the transmission, processing, extraction, and utilization of information. This book is devoted to the theory of probabilistic information measures and their application to coding theorems for information sources and noisy channels.

An introduction to information theory and applications. It assumes little prior knowledge and discusses both information with respect to discrete and continuous random variables. Information theory communications and signal processing. Information theory says that a random variable, x, which has an associated. Appendix b information theory from first principles this appendix discusses the information theory behind the capacity expressions used in the book. This book is a no nonsense introduction to classical information theory. A basic idea in information theory is that information can be treated very much. This book is an excellent introduction to the mathematics underlying the theory. This book is an evolution from my book a first course in information theory published in 2002 when network coding was still at its infancy. An advanced information theory book with much space devoted to coding. Their conditional probability distributions are p x y and py x, and their joint probability distribution is p x,y. A random variable x takes a value x from the alphabet x with probability p x. Proof of the basic theorem of information theory achievability of channel capacity shannonnssecond theorem theorem for a discrete memoryless channel, all rates below capacity c are achievable speci. Elements of information theory is probably the first book that covers the subject of.

The eventual goal is a general development of shannons mathematical theory of communication, but much. Intuitively, the entropy hx of a discrete random variable x is a measure of the. The notion of entropy, which is fundamental to the whole topic of this book. Penghua wang, april 16, 2012 information theory, chap. For the joint entropy, we consider the channel input and the channel. The eventual goal is a general development of shannons mathematical theory of communication, but much of the space is devoted to the tools and methods. This fascinating program explores his life and the major influence his. Worked example problems information theory and coding. Appendix b information theory from first principles. Information embedding and structured latticebased code books.