Technische Universität Ilmenau

# Mobile Communications, Part 1 - Modultafeln of TU Ilmenau

The module lists provide information on the degree programmes offered by the TU Ilmenau.

Please refer to the respective study and examination rules and regulations for the legally binding curricula (Annex Curriculum).

You can find all details on planned lectures and classes in the electronic university catalogue.

Information and guidance on the maintenance of module descriptions by the module officers are provided at Module maintenance.

Please send information on missing or incorrect module descriptions directly to modulkatalog@tu-ilmenau.de.

module properties module number 200513 - common information
module number200513
departmentDepartment of Electrical Engineering and Information Technology
ID of group2111 (Communications Engineering)
languageEnglisch
term Sommersemester
previous knowledge and experience

Basics in stochastics and calculus

learning outcome

After completing this module, the students are able to understand current areas of mobile communication systems. They have a deep understanding of universal (timeless) principles that are applicable in several research areas and disciplines. They can confidently use several fundamental mathematical properties and "tricks", e.g., in the areas of linear algebra, stochastic processes, and time-varying systems.

Fundamental concepts of mobile communication systems are developed in class, ranging from channel modeling to advanced multiple antenna systems. Moreover, important topics for the design of future wireless communication systems are also emphasized.

After participating in this course, the students are able to assess current hot topics from research and development in wireless communications (e.g., 5G, 6G). They are able to read and understand current IEEE journal and conference publications in this area. Moreover, they have been enabled to develop new research ideas and results that build on this published "state-of-the-art."

content

1 Introduction
+ Overview of mobile communication standards and applications (1G - 5G)
+ 5G Vision and Requirements
+ The Wireless Channel
- Path loss

2 Mobile Communication Channels
+ Review: Representation of Bandpass Signals and Systems

2.1 Propagation Modelling
+ Time variance (Doppler)
+ Time-varying multipath channels
- Transmission functions of the time-varying channel (1st set of Bello functions)
- 4 ways to calculate the received signals
- Identification of linear time-varing (LTV) systems

2.2 Statistical Characterization of Multipath Channels
+ Rician channel
+ Channel Correlation Functions and Power Spectra of Fading Multipath Channels
- Time-variations of the channel
- Characterization of a WSSUS channel (2nd set of Bello functions)

2.3 The effect of signal characteristics on the choice of a channel model
+ Frequency non-selective channels
+ Frequency selective channels
- Truncated tapped delay line model of a frequency selective channel

2.4 Space-Time Channel and Signal Models
+ Generalization of the time-varying channel impulse response
- First set of Bello functions extended to the spatial domain
- Example: specular L paths model (continued)
+ Homogeneous channels (WSSUS-HO model)
+ Correlation functions and power spectra extended to the spatial domain
- Second set of Bello functions extended to the spatial domain
- Coherence time, coherence frequency, coherence distance
+ Transmission functions extended to transmit and receive antenna arrays (MIMO)
- Definition of the array manifold
+ Notation for SISO, SIMO, MISO, and MIMO channels
- Example: L paths model (continued)
+ Classical IID Channel Model
+ Extended MIMO Channel Models
> Review of the eigenvalue decomposition (EVD)
> General model
> Kronecker model
+ Sampled signal model for SISO, SIMO, MISO, and MIMO channels

3 Capacity of Space-Time Channels

3.1 Differential Entropy and Mutual Information for Continuous Ensembles (review)

3.2 Capacity Theorem for the AWGN SISO Case (review)

3.3 Capacity of the Flat Fading MIMO channel
+ Differential entropy for CSCG random vectors
+ Choosing Rss (with and without CSI @ the transmitter)
- Singular Value Decomposition (SVD)
- Special case: uncorrelated Rayleigh fading and Mt very large
+ Parallel Spatial Sub-Channels
- Design of the precoder and the decoder for MIMO systems with CSI at the transmitter
- Optimum power allocation (waterpouring algorithm) with CSI at the transmitter
+ SIMO Channel Capacity
+ MISO Channel Capacity
+ Capacity of Random MIMO Channels
- Ergodic vs. non-ergodic channels
- Ergodic capacity
> Examples, e.g., Rice, correlation
- Outage capacity

3.4 Capacity of the Frequency Selective MIMO channel
+ Space-Frequency Waterpouring

media of instruction and technical requirements for education and examination in case of online participation

literature / references
• A. Goldsmith, Wireless Communications.
Cambridge University Press, 2005.
• C. E. Shannon, A mathematical theory of communication.
Bell System Technical Journal, vol. 27, pp. 379-423 and 623-656, July and October, 1948.
• G. Strang, Introduction to Linear Algebra.
Wellesley - Cambridge Press, Fifth Edition, 2016.
• G. Strang, Linear Algebra and Its Applications.
Thomson Brooks/Cole Cengage learning, 2006.
• A. Paulraj, R. Nabar, and D. Gore, Introduction to Space-Time Wireless Communications.
Cambridge University Press, 2003.
• A. Hottinen, O. Tirkkonen, and R. Wichman, Multi-antennas Transceiver Techniques for 3G and Beyond.
Wiley, 2003.
• S. Haykin, Communication Systems.
John Wiley & Sons, 4th edition, 2001.
• S. Haykin and M. Moher, Modern Wireless Communications.
Pearson Education, Inc., 2005.
• F. Jondral and A. Wiesler, Grundlagen der Wahrscheinlichkeitsrechnung und stochastischer Prozesse für Ingenieure.
Teubner Verlag, Stuttgart/Leipzig, 2000.
• A. Papoulis, Probability, Random Variables, and Stochastic Processes.
McGraw-Hill, 2nd edition, 1984.
• T. S. Rappaport, Wireless Communications.
Prentice Hall, 1996.
• J. Proakis, Digital Communications.
McGraw-Hill, 4th edition, 2001.
• G. L. Stüber, Mobile Communication.
Kluwer Academic Publishers, 2nd edition, 2001.
• R. Steele and L. Hanzo, eds., Mobile Radio Communications.
Wiley, 2nd edition, 1999.
• S. Saunders, Antennas and Propagation for Wireless Communication Systems.
Wiley, 1999.
• A. Graham, Kronecker Products and Matrix Calculus with Applications.
Halsted Press, 1981.
• E. G. Larson, P. Stoica, and G. Ganesan, Space-Time Block Coding for Wireless Communications.
Cambridge University Press, 2003.
• H. Bölcskei, D. Gesbert, C. B. Papadias, and A.-J. van der Veen, eds., Space-Time Wireless Systems From Array Processing to MIMO Communications.
Cambridge University Press, 2006.
• E. Biglieri, R. Calderbank, A. Constantinides, A. Goldsmith, A. Paulraj, and H. V. Poor, MIMO Wireless Communications.
Cambridge University Press, 2007.
• C. Oestges and B. Clerckx, MIMO wireless communictions.
• Q. H. Spencer, A. L. Swindlehurst, and M. Haardt, ``Zero-forcing methods for downlink spatial multiplexing in multi-user MIMO channels,'' IEEE Transactions on Signal Processing, vol. 52, pp. 461-471, Feb. 2004, received the 2009 Best Paper Award of the IEEE Signal Processing Society.
• Q. H. Spencer, C. B. Peel, A. L. Swindlehurst, and M. Haardt, ``An introduction to the multi-user MIMO downlink,'' IEEE Communications Magazine, pp. 60-67, Oct. 2004, special issue on MIMO Systems.
evaluation of teaching
Details reference subject
module nameMobile Communications, Part 1
examination number2100848
credit points5
SWS4 (2 V, 2 Ü, 0 P)
on-campus program (h)45
self-study (h)105
obligationobligatory module
examwritten examination performance, 75 minutes
details of the certificate
alternative examination performance due to COVID-19 regulations incl. technical requirements
signup details for alternative examinations
maximum number of participants
Details in degree program Master Ingenieurinformatik 2014, Master Wirtschaftsingenieurwesen 2021 (ET), Master Ingenieurinformatik 2021
module nameMobile Communications, Part 1
examination number2100848
credit points5
on-campus program (h)45
self-study (h)105
obligationelective module
examwritten examination performance, 75 minutes
details of the certificate
alternative examination performance due to COVID-19 regulations incl. technical requirements
signup details for alternative examinations
maximum number of participants