You are here
Advanced Mobile Communications / Communication Networks 3
This course is held in English and is provided in winter semester only. It is equivalent to 5 creditpoints.
Schedule
| Lecture | Prof. Dr.-Ing. habil. Peter Jung | Montag, 15:00 Uhr - 16:30 Uhr | BC003 |
| Exercise | M.Sc. Hamza Almujahed | Montag, 16:45 Uhr - 17:30 Uhr | BC003 |
Contents
The lecture Advanced Mobile Communications continues the lecture Mobilkommunikationsgeräte and consists of the following chapters:
6. Classical block codes
- Linear block codes
- Systematic structure
- Parity-check matrix
- Minimum distance
- Capabilities (detection and correction of errors)
- Standard array and syndrome decoding
- Single-parity check codes
- Repetition codes
- Self-dual codes
- Number theoretical primer (nulls, units, irreducibles, primes, composites; rings; integral domains, Euclidean domains; gcd; Euclidean algorithm; unique factorization; minimal polynomials; isomorphism; conjugates; cyclotomic cosets; finding irreducible polynomials)
- Binary cyclic codes (cyclic codes and ideals; generator polynomial; check polynomial; idempotents; minimal ideals and primitive idempotents; binary Hamming codes; simplex codes; BCH-Codes)
- Construction of new codes from old (overall parity check; puncturing; expurgating; augmenting; lengthening; shortening)
- Reed-Muller codes (definition; properties; punctured RM codes; construction principles, RM codes in 3GPP)
7. Polar codes
- History
- Information theoretical basics (probability, mutual information, entropy)
- Construction (channel polarization; binary erasure channel; four examples)
8. Low density parity check (LDPC) codes
- History
- Structure
- Tanner graphs
- Decoding of LDPC codes (LLR processing, sum-product algorithm/SPA)
9. Convolutional codes
- Endoding
- Decoding
10. Convolutional Turbo-codes
- Structure (encoder, constituent codes)
- Typical performance
- Decoding (decoder, Log-MAP, Max*-Log-MAP, Max-log-MAP)
Chapter 11 is the list of publications.
EXCERCISES WITH SOLUTIONS
Diese Lehrveranstaltung wird im Wintersemester 2020/2021 zunächst im "inverted classroom model" unter https://moodle.uni-due.de/course/view.php?id=21545 angeboten.