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

Link to lecture database

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.