Fundamentals in probability Theory, Fourier transform, stochastic processes, sampling theorem (sampling and reconstruction), digital modulation techniques, communication signals and systems, characterization of thermal noise, signal space, signal detection and optimum receivers for the AWGN channel.

MAC Seminar:  Short sequence of presentations giving an overview over existing MAC protocols in wireless communication systems as well as more topics on general description of MAC schemes:

  • Introduction to MAC Protocols for Wireless Systems: Challenges and Applications
  • Comparison of MAC Protocols in Wired and Wireless Systems: Differences and
  • Commonalities
  • MAC Schemes for Distributed and Centralized Wireless Networks
  • Packet and Channel Based Multiple Access and Duplexing
  • MAC Schemes for Ad-Hoc Networks
  • Dual Busy Tone Multiple Access
  • Collision Management and Avoidance in Wireless MAC
  • Power Control for Centralized and Distributed MAC Protocols
  • Scheduling and Fairness
  • Distribution and Point Coordination Functions
  • Token Passing
  • MAC in RFID Systems

And we will also focus on MAC schemes for specific examples of wireless systems as:

  • MAC for Broadband MIMO Systems
  • MAC in Satellite Systems
  • MAC in WLANs IEEE 802.11
  • MAC Protocols for Multiple Antenna Networks
  • MAC in 3G Mobile Radio
  • MAC Protocols in 4G Long Term Evolution
  • MAC Protocols for 5G Networks
  • MAC Protocols for Future 6G Networks
  • MAC Protocols for Non-orthogonal Multiple Access (NOMA)
  • MAC Protocols for Cognitive Radio Networks
  • Cross-Layer Wireless Transmission: Challenges and Principles
  • MAC Protocols for Enhancement the Reliability and QoS
  • MAC Protocols for Vehicular Communications

Elements of hypothesis testing, Signal detection, Bayesian parameter estimation, Maximum-likelihood estimation, Iterative schemes based on expectation-maximization algorithms, Signal estimation based on state-space models, Kalman filtering, Orthogonality principle, Wiener-Kolmogorov filtering.


Signale und Systeme

-        Diskrete Signale: Darstellung von Signalen mit Hilfe von Eigenfunktionen linearer zeitinvarianter Systeme

-        Z-Transformation und Fouriertransformation von Folgen

-        Poisson-Formel und DFT

-        Implementierung der DFT durch FFT, Radixverfahren

-        ev.: Erweiterung auf lineare zeitvariante Systeme

-        Analoge Signale: Darstellung von Signalen mit Hilfe von Eigenfunktionen linearer zeitinvarianter Systeme

-        Analytisches Signal

-        Fourier- und Laplacetransformationen: Rechenregeln, Einsatz in linearen Systemen (steady state, Einschaltvorgänge)

-        Berechnung mit diskreter Fouriertransformation

-        Fourierreihen, Klirrfaktor, Verzerrungsleistung, Spektraldarstellung

-        Stabilität, Kausalität, Passivität

-        Anwendungen: Zweitore, Filterentwurf, Übertragung von Signalen (AM, FM), Kirchhoff-Netze, Reziprozität, Satz von Tellegen, Transistorschaltungen

Digital Communications I

-        Zufallsvariablen und stochastische Prozesse

-        Quellencodierung

-        Signaldarstellung im komplexen Basisband

-        Klassifizierung digital modulierter Signale

-        Übertragung über Kanäle mit additiver weißer normalverteilter Störung

-        Synchronisation, Kanalkapazität und Codierung



Carrier and symbol synchronization, Signal design for band-limited channels, Communication through band-limited linear filter channels, Inter-symbol interference, Adaptive equalization, Multicarrier communications.

Praktikum Signalübertragung: Analog modulation techniques, Amplitude Modulation (AM), Double Side Band Suppressed Carrier (DSBSC), Single Side Band (SSB), Frequency Modulation (FM), sampling theorem (sampling and reconstruction), Digital modulation techniques, Amplitude Shift Keying (ASK), Binary Phase Shift Keying (BPSK), Frequency Shift Keying (FSK), Signal constellation for M-QAM and M-PSK, Noisy channel model, signal detection and Bit Error Rate (BER) measurement and eye pattern for noisy channel.


Digital Communications (Labs)

1-     Introduction to Digital Communications (Lab)

2-     Digital Communication Through Band-Limited Channels (Lab)


Introduction to MATLAB and discussion of most important commands, simulation of a simple transmission chain, channel coding (convolutional codes), coding gain, channels with multipath propagation, models of fading channels and performance for binary transmission, Orthogonal Frequency-Division Multiplexing (OFDM), interleaving, implementation of an OFDM modem.