Digital Filters, 6 credits (TSEI07)

Digitala filter, 6 hp

Main field of study

Electrical Engineering


First cycle

Course type

Programme course


Håkan Johansson

Director of studies or equivalent

Klas Nordberg

Available for exchange students

Course offered for Semester Period Timetable module Language Campus VOF
6IELK Engineering Electronics (Electronic Design) 4 (Spring 2017) 2 3 English Linköping v
6IELK Engineering Electronics 4 (Spring 2017) 2 3 English Linköping v

Main field of study

Electrical Engineering

Course level

First cycle

Advancement level


Course offered for

  • Engineering Electronics

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.


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


LAB1Laboratory WorkU, G1.5 credits
TEN1Written ExaminationU, 3, 4, 54.5 credits


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


Institutionen för systemteknik

Director of Studies or equivalent

Klas Nordberg


Håkan Johansson

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
L. Wanhammar and H. Johansson: Digital Filters Using Matlab, 2013 L. Wanhammar: Tables and Formulas for Analog and Digital Filters
LAB1 Laboratory Work U, G 1.5 credits
TEN1 Written Examination U, 3, 4, 5 4.5 credits

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 

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