Information Theory and Coding (ITC(A))- Lecturer
- Prof. Dr.-Ing. Ralf Müller
- Details
- Vorlesung
Präsenz
3 cred.h, ECTS studies, ECTS credits: 5
nur Fachstudium, Sprache Englisch
Time and place: Mon 10:15 - 11:45, KS I; Wed 16:15 - 17:45, H6
- Fields of study
- WF EEI-BA 5-6
PF EEI-MA-INT 1-4
PF CE-BA-TA-IT 5
WF CE-MA-TA-IT 1
PF EEI-BA-INT 5-6
WF IuK-BA 5
PF ICT-MA-NDC 1-4
WPF ICT-MA-ES 1-4
WPF ICT-MA-MPS 1-4
WPF WING-BA-IKS-ING-MG1 5-6
WPF WING-MA 1-3
WPF WING-MA-ET-IT 1-3
WPF WING-BA-ET-IT 5-6
PF CME-MA 1
PF ASC-MA 1
WPF INF-NF-EEI 1-4
- Contents
- Introduction to coding and information theory (binomial distribution, (7,4)-Hamming code, parity-check matrix, generator matrix); Probability, entropy, and inference (entropy, conditional probability, Bayes’ law, likelihood, Jensen’s inequality); Inference (inverse probability, statistical inference); Source coding theorem (information content, typical sequences, Chebychev inequality, law of large numbers); Symbol codes (unique decidability, expected codeword length, prefix-free codes, Kraft inequality, Huffman coding); Stream codes (arithmetic coding, Lempel-Ziv coding, Burrows-Wheeler transform); Dependent random variables (mutual information, data processing lemma); Communication over a noisy channel (discrete memory-less channel, channel coding theorem, channel capacity); Noisy-channel coding theorem (jointly-typical sequences, proof of the channel coding theorem, proof of converse, symmetric channels); Gaussian channel (AWGN channel, multivariate Gaussian pdf, capacity of AWGN channel); Binary codes (minimum distance, perfect codes, why perfect codes are bad, why distance isn’t everything); Message passing (distributed counting, path counting, low-cost path, min-sum (=Viterbi) algorithm); Marginalization in graphs (factor graphs, sum-product algorithm); Low-density parity-check codes (density evolution, check node degree, regular vs. irregular codes, girth); Lossy source coding (transform coding and JPEG compression)
(automatisch geplant, erwartete Hörerzahl original: 85, fixe Veranstaltung: nein)
- ECTS information:
- Credits: 5
- Additional information
- Expected participants: 83
- Assigned lectures
- UE ([hybrid]):Tutorial for Information Theory and Coding
-
Time and place:
- Verwendung in folgenden UnivIS-Modulen
- Startsemester WS 2022/2023:
- Information Theory and Coding (ITC)
- Department: Institute for Digital Communications (IDC) (Prof. Dr. Schober)
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