Elementi di Teoria dell'Informazione

Course objectives

The course represents an introduction to classical results of Shannon information theory.

 

Results of learning outcomes

At the end of the course the student will have the capacity to apply information theory tools and approaches to both theoretical and practical problems related to information management, coding, representation, protection and information metrics. 

 

Syllabus

The course is structured in two parts.

The first part of the course is devoted to the classical information theory. In particular, the addressed topics are: definition of information and source types, the concept of entropy, source coding, Shannon's first theorem (source coding), uniquely decodable codes, optimality of Huffman coding, models of noisy channels, definition of the channel capacity according to Shannon's theorem (channel coding).

The second part of the course is devoted to the study of source coding and channel coding algorithms used in many applications, communication systems and networks. The selected topics include arithmetic coding, the Lempel-Ziv-Welch algorithms and state of the art standards for image and video compression. As far as channel coding is regarded the course will introduce linear block codes, cyclic codes, convolutional codes and fountain codes.

 

Course delivery

The course will be based on theretical lessons followed by in class exercises and computer based experiments. Personal training on assigned exercises is important for the success in this class.

 

Learning assessment methods

The assesment comprises a written test followed by an oral examination.

 

Suggested readings and bibliography

  • R. W. Yeung, "Information Theory and Network Coding,  ISBN: 978-0-387-79233-0
  • S. Benedetto, E. Biglieri, "Principles of Digital Transmission: with wireless applications", Springer Science & Business Media, Chapter 10 and Chapter 11 (only two chapters!!!).


Other references

  • T. M. Cover, J. A. Thomas, "Elements of Information Theory", Wiley.
  • V. Guruswami, A. Rudra and M. Sudan, “Essential Coding Theory”, available on-line at http://www.cse.buffalo.edu/faculty/atri/courses/coding-theory/book/index.html

Teacher: Sereno Matteo