Module Number: EI7433
Duration: 1 Semester
Ocurrence: Winter Semester
Number of ECTS: 5
Professor in charge: Wolfgang Utschick
Contact hours: 60
Self-study hours: 90
Knwoledge-based learning outcomes are reviewed as part of a 90 minute written examination. During the semester, there are four mandatory home-works for enhancement of MatLab programming skills. The weights of these exams are:
- 90% Final Examination
In addition, there is a voluntary mid-term examination which will be graded, but it will be credited only if results in an improvement of the overall grade according to the following weights:
- 65% Final Examination
- 25% Mid-term Examination
- 10% Homework
Exam type: written
Exam duration: 90 minutes
Possibility of re-taking: In the next semester: Yes; At the end of the semester: No
Written paper: No
Pre-requisite are basic knowledge of linear algebra, linear discrete time systems and linear transforms on an undergraduate level.
- Motivation: Application areas of adaptive filters; Adaptive Equalization; Single channel (Single-sensor) temporal processing; Multichannel (multi-sensor) spatial/spatio-temporal processing.
- Mathematical Background: Gradients; Complex analysis; Quadratic Optimization with Linear Constraints; Method of Langrangian multipliers for complex valued problems; Stochastic processes, correlation and covariance matrices; Matrix decomposition (eigenvalue and singular value decomposition); Solving linear system of equations and least-squares problems.
- Linear Optimum Filtering: Wiener filtering; Spatial Filtering: Minimum Variance Distortionless Response (MVDR) Beamforming and Generalized Sidelobe Canceller (GSC; Iterative solution of normal equations; Gradient descent and Least Mean Square (LMS) algorithm
At the end of the module students are able to analyze and to design signal processing algorithms both in the temporal and spatial domain to support wireless and wired communication.
- Learning method: In addition to the individual methods of the students consolidated knowledge is aspired by repeated lessons in exercises and tutorials
- Teaching method: During the lectures students are instructed in a teacher-centered style. The exercises are held in a student-centered way.
For teaching purposs, various media are useded such as blackboard, beamer presentation, slides, lecture script and moodle
The following literature is recommended:
- Strang G: Linear Algebra and its ApplicationsHaykin, S.: Adaptive Filter Theory