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Linköping Institute of Technology

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Valid for year : 2004
 
TSBB35 Multidimensional Signal Analysis, 5 ECTS credits.
/Multidimensionell signalanalys/

For:   D   I   Ii   IT   Y  

 

Prel. scheduled hours: 28
Rec. self-study hours: 112

  Area of Education: Technology

Subject area: Electrical Engineering

  Advancement level (A-D): D

Aim:
To provide basic knowledge in signal processing based on vector spaces and operations on vector spaces, and how different chioces of basis can be done. To provide a deeper knowledge in how the theory can be applied to practical problems.

Prerequisites: (valid for students admitted to programmes within which the course is offered)
Basic knowledge in the Fourier transform and its properties for one-variable functions, signal processing, in particular for discrete signals. Basic linear algebra. The computer exercises are mainly done in Matlab, and for this reason basic knowledge in this software tool is necessary. The introduction course TSRT01 Matlab is recommended.

Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding.

Supplementary courses:
TSBB52 Image analysis TSBB02 Computer Vision TSBK01 Image coding and compression TBMI26 Neural networks

Organisation:
The course is divided into one basic part and one applied part. The basic part is presented during the lectures. This part is ended with a smaller written examination which must be passed in order for the student to continue with the applied part. In the applied part, the students are divided into smaller groups, where each student is assigned one application. During the remaining part of the course, each student must carry out a number of theoretical and practical exercises related to the assignment. This work is then presented both in the form of a written report, and an oral presentation. To each assignment, there is a set of exercises, both theoretical and practical, and references both to documents and computer execises in Matlab.

Course contents:
Signal spaces and bases. Dual bases. Sampling and discrete signals. Wavelet-transforms and frame theory. Subspace theory. Filter banks. Karhunen-Loeve bases.

Course literature:
A set of compendiums based on the lectures.

Examination:
Written report
Oral presentation
2 p
1,5 p
 



Course language is Swedish.
Department offering the course: ISY.
Director of Studies: Klas Nordberg
Examiner: Klas Nordberg
Link to the course homepage at the department


Course Syllabus in Swedish

Linköping Institute of Technology

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Contact: TFK , val@tfk.liu.se
Last updated: 06/14/2007