Digital Signal Processing, 6 credits

Digital signalbehandling, 6 hp

TSRT78

Main field of study

Electrical Engineering

Course level

Second cycle

Course type

Programme course

Examiner

Fredrik Gustafsson

Director of studies or equivalent

Johan Löfberg

Education components

Preliminary scheduled hours: 57 h
Recommended self-study hours: 103 h

Available for exchange students

Yes
ECV = Elective / Compulsory / Voluntary
Course offered for Semester Period Timetable module Language Campus ECV
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Communication) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Communication) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Communication) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Communication) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Communication) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Control and Information Systems) 7 (Autumn 2017) 2 2 English Linköping, Valla C
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Control and Information Systems) 7 (Autumn 2017) 2 2 English Linköping, Valla C
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Control and Information Systems) 7 (Autumn 2017) 2 2 English Linköping, Valla C
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Control and Information Systems) 7 (Autumn 2017) 2 2 English Linköping, Valla C
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Control and Information Systems) 7 (Autumn 2017) 2 2 English Linköping, Valla C
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Mechatronics) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Mechatronics) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Mechatronics) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Mechatronics) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Mechatronics) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Signal and Image Processing) 7 (Autumn 2017) 2 2 English Linköping, Valla C
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Signal and Image Processing) 7 (Autumn 2017) 2 2 English Linköping, Valla C
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Signal and Image Processing) 7 (Autumn 2017) 2 2 English Linköping, Valla C
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Signal and Image Processing) 7 (Autumn 2017) 2 2 English Linköping, Valla C
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Signal and Image Processing) 7 (Autumn 2017) 2 2 English Linköping, Valla C
6CYYY Applied Physics and Electrical Engineering, M Sc in Engineering 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CYYY Applied Physics and Electrical Engineering, M Sc in Engineering (Communication) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CYYY Applied Physics and Electrical Engineering, M Sc in Engineering (Control and Information Systems) 7 (Autumn 2017) 2 2 English Linköping, Valla C
6CYYY Applied Physics and Electrical Engineering, M Sc in Engineering (Mechatronics) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CYYY Applied Physics and Electrical Engineering, M Sc in Engineering (Signal and Image Processing) 7 (Autumn 2017) 2 2 English Linköping, Valla C
6CMED Biomedical Engineering, M Sc in Engineering 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CMED Biomedical Engineering, M Sc in Engineering (Biomedical Imaging and Visualization) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6MCSY Communication Systems, Master's Programme 1 (Autumn 2017) 2 2 English Linköping, Valla C
6CDDD Computer Science and Engineering, M Sc in Engineering (AI and Machine Learning) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CDDD Computer Science and Engineering, M Sc in Engineering (Communication) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CDDD Computer Science and Engineering, M Sc in Engineering (Signal and Image Processing) 7 (Autumn 2017) 2 2 English Linköping, Valla C
6CMJU Computer Science and Software Engineering, M Sc in Engineering 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CMJU Computer Science and Software Engineering, M Sc in Engineering (AI and Machine Learning) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Chinese 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Chinese (Master Profile Automatic Control) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Chinese (Master Profile Signal and Image Processing) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Chinese (Specialization Electrical Engineering) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - French 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - French (Master Profile Automatic Control) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - French (Master Profile Signal and Image Processing) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - French (Specialization Electrical Engineering) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - German 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - German (Master Profile Automatic Control) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - German (Master Profile Signal and Image Processing) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - German (Specialization Electrical Engineering) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Japanese 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Japanese (Master Profile Automatic Control) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Japanese (Master Profile Signal and Image Processing) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Japanese (Specialization Electrical Engineering) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Spanish 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Spanish (Master Profile Automatic Control) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Spanish (Master Profile Signal and Image Processing) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Spanish (Specialization Electrical Engineering) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CIII Industrial Engineering and Management, M Sc in Engineering 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CIII Industrial Engineering and Management, M Sc in Engineering (Master Profile Automatic Control) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CIII Industrial Engineering and Management, M Sc in Engineering (Master Profile Signal and Image Processing) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CIII Industrial Engineering and Management, M Sc in Engineering (Specialization Electrical Engineering) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CITE Information Technology, M Sc in Engineering 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CITE Information Technology, M Sc in Engineering (AI and Machine Learning) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CITE Information Technology, M Sc in Engineering (Communication) 7 (Autumn 2017) 2 2 English Linköping, Valla E
6CITE Information Technology, M Sc in Engineering (Signal and Image Processing) 7 (Autumn 2017) 2 2 English Linköping, Valla C
6CMMM Mechanical Engineering, M Sc in Engineering 7 (Autumn 2017) 2 2 English Linköping, Valla E

Main field of study

Electrical Engineering

Course level

Second cycle

Advancement level

A1X

Course offered for

  • Communication Systems, Master's Programme
  • Computer Science and Engineering, M Sc in Engineering
  • Industrial Engineering and Management - International, M Sc in Engineering
  • Industrial Engineering and Management, M Sc in Engineering
  • Information Technology, M Sc in Engineering
  • Biomedical Engineering, M Sc in Engineering
  • Computer Science and Software Engineering, M Sc in Engineering
  • Mechanical Engineering, M Sc in Engineering
  • Applied Physics and Electrical Engineering - International, M Sc in Engineering
  • Applied Physics and Electrical Engineering, M Sc in Engineering

Entry requirements

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

Prerequisites

Signal Theory, Signals and Systems.

Intended learning outcomes

The student should after the course have the ability to describe the most important methods and algorithms for signal processing, and be able to apply these on signals of various kinds. More specifically, after the course the student should have the ability to

  • Compute the discrete Fourier transform (DFT) and understand scaling effects and practical limitations implied by finite data length and sampling.
  • Use the DFT for filtering and know how circular convolution is avoided.
  • Explain the basic signal models and their relationship.
  • Perform transform-based and model-based spectral analysis, and understand the compromise between resolution and noise suppression.
  • Describe the theory for model estimation, and be able to apply algorithms for this purpose and validate an estimated model.
  • Describe the basics in optimal filtering and be able to compute a Wiener filter for simple examples.
  • Describe the premises for Kalman filtering, and be able to apply a Kalman filter to data and tune it to compromise tracking speed, transient behavior and noise suppression.
  • Describe the most important adaptive filters, some common applications, and be able to apply and tune an adaptive filter to compromise parameter tracking speed and noise suppression.

Course content

Transforms of signals and systems, in particular the discrete Fourier transform.
Spectral analysis. Filter design. Modelling of signals. Filter design using statistical theory, Wiener and Kalman filters. Methods and applications in adaptive filtering, for example noise cancelling.

Teaching and working methods

The course is organized in lectures/classes and laboratory work.

Examination

LAB1Laboratory Work1 creditsU, G
DAT1Written/Computer Examination5 creditsU, 3, 4, 5

Grades

Four-grade scale, LiU, U, 3, 4, 5

Other information

Supplementary courses: Sensor fusion

Department

Institutionen för systemteknik

Director of Studies or equivalent

Johan Löfberg

Examiner

Fredrik Gustafsson

Course website and other links

http://www.control.isy.liu.se/student/tsrt78/

Education components

Preliminary scheduled hours: 57 h
Recommended self-study hours: 103 h

Course literature

Additional literature

Books

Code Name Scope Grading scale
LAB1 Laboratory Work 1 credits U, G
DAT1 Written/Computer Examination 5 credits U, 3, 4, 5

Regulations (apply to LiU in its entirety)

The university is a government agency whose operations are regulated by legislation and ordinances, which include the Higher Education Act and the Higher Education Ordinance. In addition to legislation and ordinances, operations are subject to several policy documents. The Linköping University rule book collects currently valid decisions of a regulatory nature taken by the university board, the vice-chancellor and faculty/department boards.

LiU’s rule book for education at first-cycle and second-cycle levels is available at http://styrdokument.liu.se/Regelsamling/Innehall/Utbildning_pa_grund-_och_avancerad_niva. 

Additional literature

Books

Note: The course matrix might contain more information in Swedish.

I = Introduce, U = Teach, A = Utilize
I U A Modules Comment
1. DISCIPLINARY KNOWLEDGE AND REASONING
1.1 Knowledge of underlying mathematics and science (G1X level)
X
DAT1

                            
1.2 Fundamental engineering knowledge (G1X level)
X
X
DAT1
LAB1

                            
1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level)
X
X
LAB1

                            
1.4 Advanced knowledge, methods, and tools in one or several subjects in engineering or natural sciences (A1X level)

                            
1.5 Insight into current research and development work

                            
2. PERSONAL AND PROFESSIONAL SKILLS AND ATTRIBUTES
2.1 Analytical reasoning and problem solving
X
DAT1
LAB1

                            
2.2 Experimentation, investigation, and knowledge discovery
X
X
DAT1
LAB1

                            
2.3 System thinking
X
X
DAT1
LAB1

                            
2.4 Attitudes, thought, and learning
X
DAT1
LAB1

                            
2.5 Ethics, equity, and other responsibilities

                            
3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION
3.1 Teamwork
X
LAB1

                            
3.2 Communications
X
LAB1

                            
3.3 Communication in foreign languages

                            
4. CONCEIVING, DESIGNING, IMPLEMENTING AND OPERATING SYSTEMS IN THE ENTERPRISE, SOCIETAL AND ENVIRONMENTAL CONTEXT
4.1 External, societal, and environmental context
X

                            
4.2 Enterprise and business context
X

                            
4.3 Conceiving, system engineering and management
X
X
DAT1
LAB1

                            
4.4 Designing

                            
4.5 Implementing
X
X
DAT1
LAB1

                            
4.6 Operating
X

                            
5. PLANNING, EXECUTION AND PRESENTATION OF RESEARCH DEVELOPMENT PROJECTS WITH RESPECT TO SCIENTIFIC AND SOCIETAL NEEDS AND REQUIREMENTS
5.1 Societal conditions, including economic, social, and ecological aspects of sustainable development for knowledge development

                            
5.2 Economic conditions for knowledge development

                            
5.3 Identification of needs, structuring and planning of research or development projects

                            
5.4 Execution of research or development projects

                            
5.5 Presentation and evaluation of research or development projects

                            

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