Digital Filters, 6 credits

Digitala filter, 6 hp

TSTE06

Main field of study

Electrical Engineering

Course level

Second cycle

Course type

Programme course

Examiner

Håkan Johansson

Director of studies or equivalent

Klas Nordberg

Education components

Preliminary scheduled hours: 56 h
Recommended self-study hours: 104 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 8 (Spring 2017) 2 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 8 (Spring 2017) 2 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 8 (Spring 2017) 2 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 8 (Spring 2017) 2 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 8 (Spring 2017) 2 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Electronics) 8 (Spring 2017) 2 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Electronics) 8 (Spring 2017) 2 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Electronics) 8 (Spring 2017) 2 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Electronics) 8 (Spring 2017) 2 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (Electronics) 8 (Spring 2017) 2 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (System-on-Chip) 8 (Spring 2017) 2 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (System-on-Chip) 8 (Spring 2017) 2 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (System-on-Chip) 8 (Spring 2017) 2 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (System-on-Chip) 8 (Spring 2017) 2 3 English Linköping, Valla E
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering (System-on-Chip) 8 (Spring 2017) 2 3 English Linköping, Valla E
6CYYY Applied Physics and Electrical Engineering, M Sc in Engineering 8 (Spring 2017) 2 3 English Linköping, Valla E
6CYYY Applied Physics and Electrical Engineering, M Sc in Engineering (Electronics) 8 (Spring 2017) 2 3 English Linköping, Valla E
6CYYY Applied Physics and Electrical Engineering, M Sc in Engineering (System-on-Chip) 8 (Spring 2017) 2 3 English Linköping, Valla E
6CDDD Computer Science and Engineering, M Sc in Engineering 8 (Spring 2017) 2 3 English Linköping, Valla E
6CDDD Computer Science and Engineering, M Sc in Engineering (Electronics) 8 (Spring 2017) 2 3 English Linköping, Valla E
6CDDD Computer Science and Engineering, M Sc in Engineering (System-on-Chip) 8 (Spring 2017) 2 3 English Linköping, Valla E
6CIEN Electronics Design Engineering, M Sc in Engineering 8 (Spring 2017) 2 3 English Linköping, Valla E
6MELE Electronics Engineering, Master's programme (Analogue/Digital and RF IC Design) 2 (Spring 2017) 2 3 English Linköping, Valla E
6MELE Electronics Engineering, Master's programme (System-on-Chip) 2 (Spring 2017) 2 3 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering 8 (Spring 2017) 2 3 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering 8 (Spring 2017) 2 3 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering 8 (Spring 2017) 2 3 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering 8 (Spring 2017) 2 3 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering 8 (Spring 2017) 2 3 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering (Specialization Electrical Engineering) 8 (Spring 2017) 2 3 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering (Specialization Electrical Engineering) 8 (Spring 2017) 2 3 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering (Specialization Electrical Engineering) 8 (Spring 2017) 2 3 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering (Specialization Electrical Engineering) 8 (Spring 2017) 2 3 English Linköping, Valla E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering (Specialization Electrical Engineering) 8 (Spring 2017) 2 3 English Linköping, Valla E
6CIII Industrial Engineering and Management, M Sc in Engineering 8 (Spring 2017) 2 3 English Linköping, Valla E
6CIII Industrial Engineering and Management, M Sc in Engineering (Specialization Electrical Engineering) 8 (Spring 2017) 2 3 English Linköping, Valla E
6CITE Information Technology, M Sc in Engineering 8 (Spring 2017) 2 3 English Linköping, Valla E
6CITE Information Technology, M Sc in Engineering (Electronics) 8 (Spring 2017) 2 3 English Linköping, Valla E
6CITE Information Technology, M Sc in Engineering (System-on-Chip) 8 (Spring 2017) 2 3 Swedish Linköping, Valla E

Main field of study

Electrical Engineering

Course level

Second cycle

Advancement level

A1X

Course offered for

  • Computer Science and Engineering, M Sc in Engineering
  • Industrial Engineering and Management - International, M Sc in Engineering
  • Electronics Design Engineering, M Sc in Engineering
  • Industrial Engineering and Management, M Sc in Engineering
  • Applied Physics and Electrical Engineering, M Sc in Engineering
  • Electronics Engineering, Master's programme
  • Information Technology, M Sc in Engineering
  • Applied Physics and Electrical Engineering - International, 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

Basic courses in circuit theory and linear systems.

Intended learning outcomes

The aim of the course is to give the theoretical basis for analysis and synthesis of digital filters and basic knowledge about implementation of digital filters in hardware and software. After the course, the student is expected to be able to:

  • synthesize FIR and IIR filters, especially wave digital filters,
  • analyze finite wordlength effects in digital filters,
  • synthesize digital systems with several sampling frequencies using interpolation and decimation,
  • analyze computational properties of recursive algorithms,
  • use computer programs to solve problems within digital filtering.

Course content

Discrete-time and digital signals and systems. Approximation theory, Butterworth, Chebyshev-I, Chebyshev-II and Cauer-filters. Frequency transformations. Synthesis of IIR and FIR filters, especially wave digital filters. System with several sampling frequencies, decimation and interpolation. Finite word lengths effects. Computational properties of recursive DSP algorithms. Implementation of digital filters.

Teaching and working methods

Lectures, lessons, and laboratory exercises

Examination

LAB1Laboratory work1.5 creditsU, G
TEN1Written examination4.5 creditsU, 3, 4, 5

Grades

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

Department

Institutionen för systemteknik

Director of Studies or equivalent

Klas Nordberg

Examiner

Håkan Johansson

Course website and other links

Education components

Preliminary scheduled hours: 56 h
Recommended self-study hours: 104 h

Course literature

L. Wanhammar and H. Johansson: Digital Filters Using Matlab, 2013 L. Wanhammar: Tables and Formulas for Analog and Digital Filters
Code Name Scope Grading scale
LAB1 Laboratory work 1.5 credits U, G
TEN1 Written examination 4.5 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. 

L. Wanhammar and H. Johansson: Digital Filters Using Matlab, 2013 L. Wanhammar: Tables and Formulas for Analog and Digital Filters

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

                            
1.2 Fundamental engineering knowledge (G1X level)
X
X

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

                            
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
X

                            
2.2 Experimentation, investigation, and knowledge discovery
X
X

                            
2.3 System thinking
X

                            
2.4 Attitudes, thought, and learning
X

                            
2.5 Ethics, equity, and other responsibilities

                            
3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION
3.1 Teamwork
X

                            
3.2 Communications
X

                            
3.3 Communication in foreign languages
X

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

                            
4.2 Enterprise and business context

                            
4.3 Conceiving, system engineering and management

                            
4.4 Designing

                            
4.5 Implementing

                            
4.6 Operating

                            
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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