Signals, Information and Images, 8 credits

Signaler, information och bilder, 8 hp


The course is disused. Replaced by TSKS24.

Main field of study

Electrical Engineering

Course level

First cycle

Course type

Programme course


Mikael Olofsson

Director of studies or equivalent

Klas Nordberg

Education components

Preliminary scheduled hours: 66 h
Recommended self-study hours: 147 h
ECV = Elective / Compulsory / Voluntary
Course offered for Semester Period Timetable module Language Campus ECV
6CMJU Computer Science and Software Engineering, M Sc in Engineering 6 (Spring 2018) 1 1 Swedish Linköping, Valla C

Main field of study

Electrical Engineering

Course level

First cycle

Advancement level


Course offered for

  • Computer Science and Software 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.


Ordinary differential equations and difference equations of low orders. Matrix- and vector concepts, determinant, inner product, bases, the least-square method. One-dimensional and multi-dimensional calculus, especially derivatives and integrals. General ability to program, preferrably including Matlab.

Intended learning outcomes

After passing the course, the student should be able to

  • analyze a given passive electrical circuit with respect to direct current and alternating current properties.

  • determine the output from both time-continuous and time-discrete stable LTI systems, given a description of the input and the system, in the time domain as well as in the frequency domain.

  • understand and apply the sampling theorem.

  • describe the fundamentalk limits for compression and transmission of signals and information, perform simple calculations related to these, and understand how these relate to the physical reality.

  • describe and exhibit ingineering understanding of the basic principles for techniques for storing and transmission of information that are used in practice.

  • describe 2D continuous and discrete signals in the spatial domain, sampling, convolution and the most common cores.

  • interprete the result of a 2D Fourier transform fouriertransform of an image, such as understanding what a spatial frequency means / interpretation of the most common filters.

  • describe fundamental geometrical image transformations and color models.

  • account for the connection between different concepts in the course in a structured way using adequate terminology.

Course content

Electrical circuits:

  • Direct Current – Ohm’s law, Kirchhoff’s laws. Resistance, sources, power.

  • Alternating Current – the j-omega method. Capacitance, inductance, power. dB.

Signals and Systems, in continuous time as well as in discrete time – the concept of LTI systems and their connection to difference and differential equations:

  • Examples of signals in applications of electrical engineering.

  • Analysis in the time domain – Unit impulses, impulse response, convolution.

  • Analysis in the frequency domain – Fourier series and transforms. Also the cosine transform, used in JPG. The Sine-in-sine-out principle for stable LTI systems.

  • Sampling and reconstruction using pulse-amplitude modulation. The sampling theorem.

  • Quantization, noise.


  • Entropy

  • Data compression – Huffman codes

  • Error correction – Hamming kodes – Fundamental limits.


  • The JPG format – Compression of images using the JPG format.

  • From 1D to 2D: Fourier transforms, DFT, sampling, and convolution.

  • Linear operations on digital images.

  • 2D geometry.

  • Color models and histogram operations.

Teaching and working methods

Teaching is given in the form of lectures, tutorials and laborations.


LAB1Laboratory work2 creditsU, G
TEN1Written examination6 creditsU, 3, 4, 5


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


Institutionen för systemteknik

Director of Studies or equivalent

Klas Nordberg


Mikael Olofsson

Course website and other links

Education components

Preliminary scheduled hours: 66 h
Recommended self-study hours: 147 h

Course literature


  • Mandal & Asif, (2007) Continuous and Discrete Time Signals and Systems Cambridge University Press


  • Magnusson, Signal- och Bildbehandling


  • Kompletterande material som distribueras under kursen.
Code Name Scope Grading scale
LAB1 Laboratory work 2 credits U, G
TEN1 Written examination 6 credits U, 3, 4, 5

Course syllabus

A syllabus has been established for each course. The syllabus specifies the aim and contents of the course, and the prior knowledge that a student must have in order to be able to benefit from the course.


Courses are timetabled after a decision has been made for this course concerning its assignment to a timetable module. A central timetable is not drawn up for courses with fewer than five participants. Most project courses do not have a central timetable.

Interrupting a course

The vice-chancellor’s decision concerning regulations for registration, deregistration and reporting results (Dnr LiU-2015-01241) states that interruptions in study are to be recorded in Ladok. Thus, all students who do not participate in a course for which they have registered must record the interruption, such that the registration on the course can be removed. Deregistration from a course is carried out using a web-based form: 

Cancelled courses

Courses with few participants (fewer than 10) may be cancelled or organised in a manner that differs from that stated in the course syllabus. The board of studies is to deliberate and decide whether a course is to be cancelled or changed from the course syllabus. 

Regulations relating to examinations and examiners 

Details are given in a decision in the university’s rule book:

Forms of examination


Written and oral examinations are held at least three times a year: once immediately after the end of the course, once in August, and once (usually) in one of the re-examination periods. Examinations held at other times are to follow a decision of the board of studies.

Principles for examination scheduling for courses that follow the study periods:

  • courses given in VT1 are examined for the first time in March, with re-examination in June and August
  • courses given in VT2 are examined for the first time in May, with re-examination in August and October
  • courses given in HT1 are examined for the first time in October, with re-examination in January and August
  • courses given in HT2 are examined for the first time in January, with re-examination at Easter and in August.

The examination schedule is based on the structure of timetable modules, but there may be deviations from this, mainly in the case of courses that are studied and examined for several programmes and in lower grades (i.e. 1 and 2). 

  • Examinations for courses that the board of studies has decided are to be held in alternate years are held only three times during the year in which the course is given.
  • Examinations for courses that are cancelled or rescheduled such that they are not given in one or several years are held three times during the year that immediately follows the course, with examination scheduling that corresponds to the scheduling that was in force before the course was cancelled or rescheduled.
  • If teaching is no longer given for a course, three examination occurrences are held during the immediately subsequent year, while examinations are at the same time held for any replacement course that is given, or alternatively in association with other re-examination opportunities. Furthermore, an examination is held on one further occasion during the next subsequent year, unless the board of studies determines otherwise.
  • If a course is given during several periods of the year (for programmes, or on different occasions for different programmes) the board or boards of studies determine together the scheduling and frequency of re-examination occasions.

Registration for examination

In order to take an examination, a student must register in advance at the Student Portal during the registration period, which opens 30 days before the date of the examination and closes 10 days before it. Candidates are informed of the location of the examination by email, four days in advance. Students who have not registered for an examination run the risk of being refused admittance to the examination, if space is not available.

Symbols used in the examination registration system:

  ** denotes that the examination is being given for the penultimate time.

  * denotes that the examination is being given for the last time.

Code of conduct for students during examinations

Details are given in a decision in the university’s rule book:

Retakes for higher grade

Students at the Institute of Technology at LiU have the right to retake written examinations and computer-based examinations in an attempt to achieve a higher grade. This is valid for all examination components with code “TEN” and "DAT". The same right may not be exercised for other examination components, unless otherwise specified in the course syllabus.

Retakes of other forms of examination

Regulations concerning retakes of other forms of examination than written examinations and computer-based examinations are given in the LiU regulations for examinations and examiners,


For examinations that involve the writing of reports, in cases in which it can be assumed that the student has had access to other sources (such as during project work, writing essays, etc.), the material submitted must be prepared in accordance with principles for acceptable practice when referring to sources (references or quotations for which the source is specified) when the text, images, ideas, data, etc. of other people are used. It is also to be made clear whether the author has reused his or her own text, images, ideas, data, etc. from previous examinations.

A failure to specify such sources may be regarded as attempted deception during examination.

Attempts to cheat

In the event of a suspected attempt by a student to cheat during an examination, or when study performance is to be assessed as specified in Chapter 10 of the Higher Education Ordinance, the examiner is to report this to the disciplinary board of the university. Possible consequences for the student are suspension from study and a formal warning. More information is available at


The grades that are preferably to be used are Fail (U), Pass (3), Pass not without distinction (4) and Pass with distinction (5). Courses under the auspices of the faculty board of the Faculty of Science and Engineering (Institute of Technology) are to be given special attention in this regard.

  1. Grades U, 3, 4, 5 are to be awarded for courses that have written examinations.
  2. Grades Fail (U) and Pass (G) may be awarded for courses with a large degree of practical components such as laboratory work, project work and group work.

Examination components

  1. Grades U, 3, 4, 5 are to be awarded for written examinations (TEN).
  2. Grades Fail (U) and Pass (G) are to be used for undergraduate projects and other independent work.
  3. Examination components for which the grades Fail (U) and Pass (G) may be awarded are laboratory work (LAB), project work (PRA), preparatory written examination (KTR), oral examination (MUN), computer-based examination (DAT), home assignment (HEM), and assignment (UPG).
  4. Students receive grades either Fail (U) or Pass (G) for other examination components in which the examination criteria are satisfied principally through active attendance such as other examination (ANN), tutorial group (BAS) or examination item (MOM).

The examination results for a student are reported at the relevant department.

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 


Mandal & Asif, (2007) Continuous and Discrete Time Signals and Systems Cambridge University Press


Magnusson, Signal- och Bildbehandling


Kompletterande material som distribueras under kursen.

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

I = Introduce, U = Teach, A = Utilize
I U A Modules Comment
1.1 Knowledge of underlying mathematics and science (G1X level)
Linear equation systems. Derivatives and integrals. General ability to solve mathematical problems.
1.2 Fundamental engineering knowledge (G1X level)
Course parts Electrical Circuits on one hand and Signals and Systems on the other.
1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level)
Course parts Information and Image Processing.
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

2.1 Analytical reasoning and problem solving

2.2 Experimentation, investigation, and knowledge discovery

2.3 System thinking

2.4 Attitudes, thought, and learning

2.5 Ethics, equity, and other responsibilities

3.1 Teamwork
Labs are done in small groups.
3.2 Communications

3.3 Communication in foreign languages
Part of the course litterature is written in English.
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

5.1 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


This tab contains public material from the course room in Lisam. The information published here is not legally binding, such material can be found under the other tabs on this page. Click on a file to download and open it.

Name File name Description
LABPMkomponenterU LABPMkomponenterU.pdf Lab-PM till lab 1.
Lab-bilaga.ELVIS_II Lab-bilaga.ELVIS_II.pdf Bilaga till lab 1.
introToMatlab introToMatlab.pdf Bilaga till lab 2.
TSKS21-Kursinformation-VT2018 TSKS21-Kursinformation-VT2018.pdf Kursinformation våren 2018
TSKS21-Forelasningsplanering-VT2018 TSKS21-Forelasningsplanering-VT2018.pdf Föreläsningsplanering våren 2018
TSKS21-Lektionsplanering-VT2018 TSKS21-Lektionsplanering-VT2018.pdf Lektionsplanering våren 2018
TSKS21-Tutorial2-VT2018-1up TSKS21-Tutorial2-VT2018-1up.pdf Slides från lektion 2 våren 2018
TSKS21-F3-VT2018-1up TSKS21-F3-VT2018-1up.pdf Slides från föreläsning 3 våren 2018
TSKS21-F1-VT2018-1up TSKS21-F1-VT2018-1up.pdf Slides från föreläsning 1 våren 2018
TSKS21-F2-VT2018-1up TSKS21-F2-VT2018-1up.pdf Slides från föreläsning 2 våren 2018
TSKS21-F4-VT2018-1up TSKS21-F4-VT2018-1up.pdf Slides från föreläsning 4 våren 2018
TSKS21-F5-VT2018-1up TSKS21-F5-VT2018-1up.pdf Slides från föreläsning 5 våren 2018
TSKS21-F6-VT2018-1up TSKS21-F6-VT2018-1up.pdf Slides från föreläsning 6 våren 2018
LABPMsigsysU LABPMsigsysU.pdf Lab-PM till lab 2.
TSKS21-F7-VT2018-1up TSKS21-F7-VT2018-1up.pdf Slides från föreläsning 7 våren 2018
TSKS21-F8-VT2018-1up TSKS21-F8-VT2018-1up.pdf Slides från föreläsning 8 våren 2018
TSKS21-F10-VT2018-1up TSKS21-F10-VT2018-1up.pdf Slides från föreläsning 10 våren 2018
TSKS21-F12-VT2018-1up TSKS21-F12-VT2018-1up.pdf Slides från föreläsning 12 våren 2018
TSKS21-F11-VT2018-1up TSKS21-F11-VT2018-1up.pdf Slides från föreläsning 11 våren 2018
TSKS21-F9-VT2018-1up TSKS21-F9-VT2018-1up.pdf Slides från föreläsning 9 våren 2018
TSKS21-F16-VT2018-4up TSKS21-F16-VT2018-4up.pdf Slides från föreläsning 16 våren 2018