Coding theorems of information theory

Theory : Coding Theorems for Discrete Memoryless Systems

The modern study of transmission and storage of information through noisy communication channels goes back to Claude E. Shannon [4]. It is very rare that an intellectual discipline is initiated from scratch, and its framework fully given, as well as its many basic theorems proven by the initiator–but that’s exactly what Shannon did. This has made Shannon a very tough act to follow. By its natur...

Information Theory and Coding

Information Theory and Coding

Information Theory and Coding

Information and Coding Theory

The concepts from information theory are applicable in many areas as it gives a precise mathematical way of stating and answering the following question: How much information is revealed by the outcome of a random event? Let us begin with a few simple examples. Let X be a random variable which takes the value a with probability 1/2 and b with probability 1/2. We can then describe the value of X...