Obligation |
: |
Elective |
Prerequisite courses |
: |
- |
Concurrent courses |
: |
- |
Delivery modes |
: |
Face-to-Face |
Learning and teaching strategies |
: |
Lecture, Question and Answer, Problem Solving |
Course objective |
: |
The objective of the course is to introduce ? the notion of entropy and information ? the fundamental limits of data compression ? the fundamental limits of data transmission systems. |
Learning outcomes |
: |
Learn and use the main mathematical tools of information theory that quantify and relate information Learn fundamental limits for systems that store and compress data Learn fundamental methods of source coding Learn fundamental limits for systems that communicate data Utilize information theory in order to gain insight of and design any system that stores, processes, or communicates information |
Course content |
: |
Introduction, review of probability, Entropy, relative entropy, mutual information, inequalities, The asymptotic equipartition property, Data compression, Channel capacity, Differential entropy, the Gaussian channel, Network information theory. |
References |
: |
Elements of Information Theory, Cover and Thomas, Wiley Interscience; Gallager, "Claude E. Shannon: A Retrospective on His Life, Work, and Impact", IEEE; Trans. Inform. Theory, vol.47, no.7, Nov. 2001; Wyner, "Fundamental Limits in Information Theory", Proc. of the IEEE, vol.69, no.2,; Feb. 1981; Verdu, "Fifty Years of Shannon Theory", IEEE Trans. Inform. Theory, vol.44, no.6,; Oct. 1998 |
Course Outline Weekly
Weeks |
Topics |
1 |
Review of probability theory, entropy |
2 |
Relative entropy and mutual information |
3 |
Jensen?s inequality and its consequences |
4 |
Asymptotic equipartition property |
5 |
Data compression and Kraft inequality |
6 |
Optimal codes, Huffman codes |
7 |
Shannon-Fano-Elias coding |
8 |
Midterm Exam |
9 |
Channel capacity examples |
10 |
Channel coding theorem |
11 |
Fano?s inequality and the converse to the coding theorem |
12 |
Differential entropy |
13 |
Gaussian channel |
14 |
Network information theory |
15 |
Final exam |
16 |
Final exam |
Matrix Of The Course Learning Outcomes Versus Program Outcomes
Key learning outcomes |
Contribution level |
1 |
2 |
3 |
4 |
5 |
1. |
Has highest level of knowledge in certain areas of Electrical and Electronics Engineering. | | | | | |
2. |
Has knowledge, skills and and competence to develop novel approaches in science and technology. | | | | | |
3. |
Follows the scientific literature, and the developments in his/her field, critically analyze, synthesize, interpret and apply them effectively in his/her research. | | | | | |
4. |
Can independently carry out all stages of a novel research project. | | | | | |
5. |
Designs, plans and manages novel research projects; can lead multidisiplinary projects. | | | | | |
6. |
Contributes to the science and technology literature. | | | | | |
7. |
Can present his/her ideas and works in written and oral forms effectively; in Turkish or English. | | | | | |
8. |
Is aware of his/her social responsibilities, evaluates scientific and technological developments with impartiality and ethical responsibility and disseminates them. | | | | | |