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Signals and systems 7.5 credits

Signaler och system
First cycle, S0004E
Course syllabus valid: Spring 2022 Sp 3 - Present
The version indicates the term and period for which this course syllabus is valid. The most recent version of the course syllabus is shown first.

Education level
First cycle
Grade scale
G U 3 4 5
Signal Processing
Subject group (SCB)
Computer Technology

Entry requirements

In order to meet the general entry requirements for first cycle studies you must have successfully completed upper secondary education and documented skills in English language and courses of at least 60 credits at first cycle including the following knowledge/courses: Calculus, linear algebra, properties of the delta-function, ability in Matlab (equivalent to M0049M Linear Algebra and Differential Equations).

More information about English language requirements


The selection is based on 1-165 credits.

Course Aim
The student should be able to
- Derive and describe how a linear and time-invariant (LTI) system affects input signal both in time and frequency
- Implement and simulate LTI systems
- Derive and describe the frequency content of a signal
- Derive, describe, and simulate how the placement of poles and zeros affect the properties of a system both in time and frequency
- Determine if a certain continuous-time signal can be sampled without loss of information.

An in-depth coverage of linear time invariant systems and the supporting mathematical theory. The course covers:
- Laplace transforms - Fourier series
- Fourier transform (both continuous and discrete time)  - Convolution (both continuous and discrete time)  
- Sampling and reconstruction
- Discrete-time processing of continuous-time signals
- Z-transform
- Analysis of LTI systems through poles and zeros

Mandatory computer assignments in Matlab is part of the course

Each course occasion´s language and form is stated and appear on the course page on Luleå University of Technology's website.
Lectures, problem solving sessions, and take home labs

If there is a decision on special educational support, in accordance with the Guideline Student's rights and obligations at Luleå University of Technology, an adapted or alternative form of examination can be provided.
Written exam with differentiated grades and mandatory laboratory assignments.

This course can not be combined with S0001E (Signal analysis)

Johan Carlson

Transition terms
The course S0004E is equal to S0001E

Literature. Valid from Spring 2016 Sp 4 (May change until 10 weeks before course start)
J. H. McClellan, R. W. Shafer, M. A. Yoder, "Signal Processing First", Prentice Hal, 2003.

Course offered by
Department of Computer Science, Electrical and Space Engineering

CodeDescriptionGrade scaleCrStatusFrom periodTitle
0002Laboratory workU G#3.00MandatoryA15
0003Written examG U 3 4 54.50MandatoryS22

Study guidance
Study guidance for the course is to be found in our learning platform Canvas before the course starts. Students applying for single subject courses get more information in the Welcome letter. You will find the learning platform via My LTU.

Syllabus established
by Jonny Johansson, HUL SRT 16 Feb 2015

Last revised
by Jonny Johansson, HUL SRT 16 Feb 2021