Description:

The course provides fundamentals of digital communications theory: modulation, classical coding, channel models, and basic principles of decoding. The exposition is systematically built along the theoretical lines which allow to reveal all inner connections and principles. This allows students to develop the knowledge and use it in an active way in a design and construction of the communication systems. The course provides a necessary fundamental background for subsequent more advanced communications theory courses.

Contents:

1. Digital modulation and coding, basic properties, classification.
2. Digital memoryless modulation - linear/nonlinear (PSK, QAM, FSK, ...).
3. Digital modulation with memory - linear/nonlinear (TCM, CPFSK, CPM, ...).
4. Space-time, adaptive and multiplexing (ODFM) digital modulations.
5. Power spectrum density of digitally modulated signal.
6. Basic principles of channel coding.
7. Linear codes on GF. Block codes.
8. Convolutional codes, transfer function.
9. Codes in constellations space, coded modulation, TCM.
10. Basic channel models (AWGN, linear).
11. Demodulation and decoding, minimum error probability decoder.
12. Decoding of FSM codes, Viterbi algorithm.
13. Error performance of decoder, union bound, pairwise error probability.
14. Elements (preview) of advanced coding/decoding, multi-user communications.

Seminar contents:

1. Simulation and CAD tools for digital communications
2. Digital modulator: general definition & basic properties
3. Implementation of linear and nonlinear modulators
4. Power spectrum density of digital modulation
5. Basic block, convolutional and TCM codes
6. Communication channel with AWGN
7. Detection and decoding

Recommended literature:

1. J. G. Proakis: Digital Communications. McGraw-Hill. 2001
2. D. Tse, P. Viswanath: Fundamentals of Wireless Communications, Cambridge University Press, 2005
3. E. Biglieri: Coding for Wireless Channels, Springer, 2005

Keywords:

Digital modulation, coding.

Abbreviations used:

Semester:

• W ... winter semester (usually October - February)
• S ... spring semester (usually March - June)
• W,S ... both semesters

Mode of completion of the course:

• A ... Assessment (no grade is given to this course but credits are awarded. You will receive only P (Passed) of F (Failed) and number of credits)
• GA ... Graded Assessment (a grade is awarded for this course)
• EX ... Examination (a grade is awarded for this course)
• A, EX ... Examination (the award of Assessment is a precondition for taking the Examination in the given subject, a grade is awarded for this course)

Weekly load (hours per week):

• P ... lecture
• C ... seminar
• L ... laboratory
• R ... proseminar
• S ... seminar