Communication and Media Engineering

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Fakultät EMI

Modulhandbuch

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Signal and System Theory

Prerequisite

• Basic knowledge of mathematics for engineers, in particular complex numbers
• Basic knowledge of communications engineering and signal theory
Teaching methods Lecture
Learning target / Competences

Ability to understand the basic aspects of characterization of digital signals and systems, and being able to perform information theoretical analysis and basic coding techniques in digital communication systems.
Duration 1
Hours per week 4.0
Overview
Classes 60 h
Individual / Group work: 120 h
Workload 180 h
ECTS 6.0
Requirements for awarding credit points

Module exam K120
Credits and grades

6 CP,  grade 1 ... 5
Responsible person

Prof. Dr.-Ing. Stephan Pfletschinger
Recommended semester 1
Frequency Annually (ws)
Usability

Master's degree program CME
Lectures

Information Theory and Coding

Type Lecture
Nr. EMI405
Hours per week 2.0
Content

Information, Entropy and Redundancy

  • Source Coding
  • Shannon-Fano source coding
  • Huffman coding
  • The source coding theorem

Conditional and Joint Entropy, Mutual Information

Discrete Memoryless Channels and the Channel Coding Theorem

  • Binary symmetric channel
  • Binary erasure channel

Channel Coding

  • Block codes: generator and parity-check matrix
  • Decoding algorithms

Channel Models

  • fast and block fading
  • vector channels, OFDM and water-filling
  • MIMO channels

Applications

  • Link-to-system interface
Literature

Benedetto, S., Biglieri, E., Principles of Digital Transmission, Kluwer Academic, Plenum Publishers, 1999.
Tse, D., Viswanath, P., Fundamentals of Wireless Communication, Cambrigde University Press, 2005.
Höher, P. A., Grundlagen der Informationsübertragung, Springer-Vieweg, 2013.

Digital Signals and Systems

Type Lecture
Nr. EMI403
Hours per week 2.0
Content

• Elementary signals: sine, rectangle, complex exponential, Dirac impulse
• Properties of Signals and Systems: periodicity, orthogonality, signal power and signal energy
• Description of linear time-invariant systems in time and frequency domain: Impulse response, step response and transfer function
• Fourier series, Fourier transform, discrete-time Fourier transform, z-transform
• The Sampling Theorem
Literature

• Alan V. Oppenheim, Alan S. Willsky: Signals & Systems. Pearson, 2013.
• Alan V. Oppenheim, George V. Verghese: Signals, Systems and Inference. Pearson, 2017.
• John G. Proakis, Dimitros K. Manolakis: Digital Signal Processing. Pearson, 2014.
• Stephan Boyd, Lieven Vandenberghe: Introduction to Applied Linear Algebra. Cambridge University Press, 2018.
• Mark Wickert: Signals & Systems for Dummies. Wiley, 2013.
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