Moses - Mathematical Methods in Signal Processing and Communications

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Diese Modulbeschreibung gilt nicht im aktuellen Semester.

Die Modulbeschreibung gilt nur für den Zeitraum SS 2015 - WS 2017/18.

Module / Version:
#40229 / #1

Validity:
SS 2015 - WS 2017/18

Default display language:
English

Module title:
Mathematical Methods in Signal Processing and Communications

Credits:
6

Responsible person:
Stanczak, Slawomir

Grading:
benotet

Type of exam:
Mündliche Prüfung

Zugehörigkeit

Faculty:
Fakultät IV

Institute:
Institut für Telekommunikationssysteme

Area of expertise:
34331800 FG Netzwerk- und Informationstheorie

Prüfungsausschuss:
No information

Kontakt

Office:
HFT 6

Contact person:
Stanczak, Slawomir

E-mail address:
slawomir.stanczak@tu-berlin.de

Website:

http://www.netit.tu-berlin.de

Learning Outcomes

After completion of the lectures in this module, students master the basic mathematical concepts and methods that are widely used in the analysis and optimization of modern communication systems. Although the methods are relatively universal applicable, the focus of the analysis is on mobile communications systems. The lectures will combine the mathematical precision with examples. This should underpin the importance of mathematical methods when designing modern communication systems. The acquired knowledge will enable students to better understand complex interdependencies in such systems. This understanding is essential in the design and operation of efficient, reliable and secure communication systems.

Content

The learning content includes mathematical methods that are used to solve many real-world problems in diverse areas in science and engineering. 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, acoustic source localization with wireless sensor networks, environmental modeling in wireless multi-agent 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

Pflichtgruppe:

All Courses are mandatory.

Course Name	Type	Number	Cycle	Language	SWS	VZ
Mathematical Methods in Signal Processing and Communications	VL		WiSe	No information	2
Modern Signal Processing for Communications	VL		SoSe	No information	2

Workload and Credit Points

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)

Modern Signal Processing for 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:

This module has no requirements.

Module completion

Grading

graded

Type of exam

Oral exam

Language

English

Duration/Extent

No information

Duration of the Module

The following number of semesters is estimated for taking and completing the module:
2 Semester.

This module may be commenced in the following semesters:
Winter- und Sommersemester.

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 literature
David G. Luenberger, Optimization by Vector Space Methods, Wiley, 1998
Roger A. Horn and Charles R. Johnson, Matrix Analysis, Cambridge University Press, 2012
S. Boyd and L. Vandenberghe, Convex Optimization, Cambridge University Press, 2004
Stark, Henry, Yongi Yang, and Yongyi Yang. Vector space projections: a numerical approach to signal and image processing, neural nets, and optics. John Wiley & Sons, Inc., 1998.
Walter Ruding, Principles of Mathematical Analysis, McGraw-Hill, 1976

Assigned Degree Programs

Semester:

Zeige auch ausgelaufene Studiengänge und StuPOs

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

	Studiengang / StuPO	StuPOs	Verwendungen	Erste Verwendung	Letzte Verwendung
This module is not used in any degree program.

Students of other degrees can participate in this module without capacity testing.

Miscellaneous