Considered the founding father of the electronic communication age, claude shannons work ushered in the digital revolution. This book is a no nonsense introduction to classical information theory. An introduction to information theory and applications. This book is devoted to the theory of probabilistic information measures and their application to coding theorems for information sources and noisy channels. Informationtheory lecture notes stanford university.
The discrete memory less channel serves as a statistical model with an input x. 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. Abstractly, information can be thought of as the resolution of uncertainty. An advanced information theory book with much space devoted to coding. In the case of communication of information over a noisy channel, this. The notion of entropy, which is fundamental to the whole topic of this book. The last few years have witnessed the rapid development of network coding into a research eld of its own in information science. The eventual goal is a general development of shannons mathematical theory of communication, but much. Information embedding and structured latticebased code books. Penghua wang, april 16, 2012 information theory, chap. Appendix b information theory from first principles this appendix discusses the information theory behind the capacity expressions used in the book.
Intuitively, the entropy hx of a discrete random variable x is a measure of the. As long as source entropy is less than channel capacity. 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. Worked example problems information theory and coding. Claude shannon father of the information age youtube. Information theory studies the transmission, processing, extraction, and utilization of information. Information theory says that a random variable, x, which has an associated.
This book is an excellent introduction to the mathematics underlying the theory. In the case of communication of information over a noisy channel, this abstract concept was made concrete in 1948 by claude shannon in his paper a mathematical theory. Information theory is the science of operations on data such as compression, storage, and com. A tutorial introduction is a highly readable first account of shannons mathematical theory of communication, now known as information theory.
A basic idea in information theory is that information can be treated very much. Their conditional probability distributions are p x y and py x, and their joint probability distribution is p x,y. 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. Information theory establishes a framework for any kind of communication and. It assumes little prior knowledge and discusses both information with respect to discrete and continuous random variables. Information theory communications and signal processing. Appendix b information theory from first principles. 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. This is illustrated by the notion of delaylimited capacity 127, 43, the polymatroidal property of the multipleuser capacity region 290, and the like. Example problem set 1 let x and y represent random variables with associated probability distributions p x and py, respectively. 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.
This fascinating program explores his life and the major influence his. Network information theory cambridge university press. Information theory studies the quantification, storage, and communication of information. A random variable x takes a value x from the alphabet x with probability p x.
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