Information theory, entropy, capacity, linear block codes.
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Content and learning outcomes
Outline: entropy and mutual information, the asymptotic equipartition principle, entropy for stochastic processes (entropy rate), introduction to data compression and source coding, channel capacity and coding for noisy channels, capacity for different channel models (with emphasis on discrete memoryless channels and Gaussian channels), finite field theory, design and analysis of error correcting codes (with a focus on linear block codes), introduction to network information theory
Format: Teaching the course will be based on one meeting, or seminar, per week (with about 12 meetings total, for the complete doctoral student version). The examination of the course will be based on: active participation, homework problems and, for the doctoral student version (see below), presentation/review of an article in the field. The overall emphasis is on individual off-class problem solving, based on relatively demanding homework problems. More information about these can be found here.
Two versions: The course is eligible for both undergraduate (2E5207, 5p) and doctoral (2E5316, 8p) students. The difference between the two versions of the course is in the extent and level of difficulty of the material included. With reference to the course schedule the senior undergraduate version, 2E5207, will amount to the material treated in meetings 1-8 while 2E5316 includes in addition the theoretically more demanding material corresponding to meetings 9-11 as well as a separate presentation/review of a research paper in the field.
Intended learning outcomes
The course provides a general introduction to the topic of Information Theory with a focus on the application of Information Theory to communications in general and on channel coding and capacity in particular.
Literature and preparations
For single course students: 180 credits and documented proficiency in English B or equivalent
Signals and systems corresponding to EQ1100 Signals and Systems
Stochastic processes and signal theory corresponding to EQ1220/1240/1260 Signal theory
Main textbook: "Elements of Information Theory" by T. Cover and J. Thomas (Wiley 1991: ISBN 0-471-06259-6).
Other material used: In addition to the main textbook, parts of "The Theory of Error-Correcting Codes" by F. MacWilliams and N. Sloane (North-Holland 1977) as well as some research articles in the field will be used. Handouts will be provided.
Examination and completion
If the course is discontinued, students may request to be examined during the following two academic years.
- TEN1 - Examination, 7.5 credits, grading scale: A, B, C, D, E, FX, F
Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.
The examiner may apply another examination format when re-examining individual students.
Other requirements for final grade
Teaching the course and its examination will be based on mandatory homework problems. Solutions to homework problems are to be handed in.
Opportunity to complete the requirements via supplementary examination
Opportunity to raise an approved grade via renewed examination
- All members of a group are responsible for the group's work.
- In any assessment, every student shall honestly disclose any help received and sources used.
- In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.
Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.Course web EQ2840
Main field of study
Given every second year. Given period 4 08/09.