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Modern Wireless Communications

6 LP


#40828 / #2

SS 2018 - SS 2018

Fakultät IV


Institut für Telekommunikationssysteme

34331800 FG Netzwerk- und Informationstheorie

Stanczak, Slawomir

Stanczak, Slawomir

POS-Nummer PORD-Nummer Modultitel
2346788 38221 Modern Wireless Communications

Learning Outcomes

After completing this module, the students will have a basic knowledge of wireless communications systems and they will be able to master some fundamental mathematical methods that are widely used in the analysis and optimization of modern wireless communications systems. In particular, the students will learn how to model the wireless channel and how to exploit the spatial diversity using multiple antenna systems. Further the lectures intends to convey a basic understanding of modern modulation and multiple access techniques such as CDMA and OFDMA. Regarding the mathematical methods for the analysis and optimization of wireless communications systems, the students will learn how to use mathematical methods when designing modern wireless communications networks. In doing so the lectures will combine the mathematical precision with practical examples. As a result, the acquired knowledge will enable the students to better understand complex interdependencies in such networks, which is essential for efficient design and operation of wireless networks.


The learning content includes: - A brief overview of typical wireless communications scenarios, the main challenges and differences when compared with wired communications - Wireless channel as a time-varying linear system (time-varying impulse response), large-scale and small-scale fading, multi-path fading, existing approaches to modeling of wireless channels - Basic principles of stochastic modeling for wireless channels, Rayleigh and Rician channels, log-normal shadowing - Time-frequency correlation functions, wide-sense stationary uncorrelated scattering model, Doppler spread and coherence time, delay spread and coherence bandwidth, flat versus frequency-selective fading, - Performance measures used in wireless communications: signal-to-noise ratio, rate, ergodic capacity, outage capacity, delay-limited capacity - Definitions of time, frequency and spatial diversity, other notions of diversity - Some basic diversity techniques including repetition coding, maximal ratio combiner (RAKE receiver), receive antenna diversity (SIMO), transmit antenna diversity (MISO), the impact of channel state information - Principlesofspread-spectrumtechniques and orthogonal frequency division multiplex(OFDM) - Basic multiaccess techniques including TDMA, FDMA, DS-CDMA and OFDMA - Mathematical methods that are used to solve many real-world problems in modern wireless communications systems/networks. As concrete applications that are in the focus of the lectures, we cite interference reduction in spread spectrum and MIMO systems, adaptive beamforming, PAPR reduction in OFDM systems. In particular, a special attention is attached to the following topics: basic principles of (functional) analysis that are relevant in the design of modern communications systems, fundamentals of matrix analysis, fundamentals of (convex) optimization theory, projection methods, principles of convex relaxation, algorithm design, convergence properties.

Module Components


All Courses are mandatory.

Course Name Type Number Cycle Language SWS
Fundamentals of Digital Wireless Communications VL WS No information 2
Mathematical Methods in Signal Processing and Communications VL SS No information 2

Workload and Credit Points

Fundamentals of Digital Wireless Communications (VL):

Workload description Multiplier Hours Total
Präsenzzeit 15.0 2.0h 30.0h
Vor-/Nachbereitung 15.0 4.0h 60.0h
90.0h(~3 LP)

Mathematical Methods in Signal Processing and Communications (VL):

Workload description Multiplier Hours Total
Präsenzzeit 15.0 2.0h 30.0h
Vor-/Nachbereitung 15.0 4.0h 60.0h
90.0h(~3 LP)
The Workload of the module sums up to 180.0 Hours. Therefore the module contains 6 Credits.

Description of Teaching and Learning Methods

The module consists of conventional frontal teaching in class, developing theoretical and mathematical concepts, exercises developed in class, in order to develop problem-solving skills and reinforce comprehension of the theory, and homework exercises in order to develop independent and autonomous thinking skills in the students.

Requirements for participation and examination

Desirable prerequisites for participation in the courses:

Prerequisite for participation to courses are a mathematical background at the level of beginning MS students in Electrical Engineering (multivariate calculus, signals and systems, linear algebra and notions of matrix theory). The course is open to students enrolled in any MSc in EE CS, Mathematics and Physics.

Mandatory requirements for the module test application:

No information

Module completion



Type of exam:

Oral exam




45 minutes

Duration of the Module

This module can be completed in 2 semesters.

Maximum Number of Participants

This module is not limited to a number of students.

Registration Procedures

Course teaching and organization (not module examination enrollment at Examination office/Prüfungsamt) is supported by an ISIS course. Registration details are provided at the beginning of the module.

Recommended reading, Lecture notes

Lecture notes

Availability:  unavailable

Electronical lecture notes

Availability:  available
Additional information:
Will be provided at the beginning of the courses


Recommended literature
D. Tse, Fundamentals of Wireless Communication, June 2005, Cambridge University Press
David G. Luenberger, Optimization by Vector Space Methods, Wiley, 1998
J. G. Proakis, Digital Communications, 4. Edition, Aug. 2000, McGraw-Hill
Roger A. Horn and Charles R. Johnson, Matrix Analysis, Cambridge University Press, 2012
S. Boyd and L. Vandenberghe, Convex Optimization, Cambridge University Press, 2004

Assigned Degree Programs

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This module is used in the following modulelists:

This module is used in the following Degree Programs (new System):


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