Signals and Systems, 6 credits

Signaler och system, 6 hp

TSDT18

Main field of study

Electrical Engineering

Course level

First cycle

Course type

Programme course

Examiner

Lasse Alfredsson

Director of studies or equivalent

Klas Nordberg

Education components

Preliminary scheduled hours: 56 h
Recommended self-study hours: 104 h
Course offered for Semester Period Timetable module Language Campus ECV
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 5 (Autumn 2017) 2 3 Swedish Linköping C
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 5 (Autumn 2017) 2 3 Swedish Linköping C
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 5 (Autumn 2017) 2 3 Swedish Linköping C
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 5 (Autumn 2017) 2 3 Swedish Linköping C
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 5 (Autumn 2017) 2 3 Swedish Linköping C
6CYYY Applied Physics and Electrical Engineering, M Sc in Engineering 5 (Autumn 2017) 2 3 Swedish Linköping C
6CMED Biomedical Engineering, M Sc in Engineering 5 (Autumn 2017) 2 3 Swedish Linköping C
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Chinese 5 (Autumn 2017) 2 3 Swedish Linköping E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Chinese (Specialization Electrical Engineering) 5 (Autumn 2017) 2 3 Swedish Linköping C
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - French 5 (Autumn 2017) 2 3 Swedish Linköping E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - French (Specialization Electrical Engineering) 5 (Autumn 2017) 2 3 Swedish Linköping C
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - German 5 (Autumn 2017) 2 3 Swedish Linköping E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - German (Specialization Electrical Engineering) 5 (Autumn 2017) 2 3 Swedish Linköping C
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Japanese 5 (Autumn 2017) 2 3 Swedish Linköping E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Japanese (Specialization Electrical Engineering) 5 (Autumn 2017) 2 3 Swedish Linköping C
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Spanish 5 (Autumn 2017) 2 3 Swedish Linköping E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Spanish (Specialization Electrical Engineering) 5 (Autumn 2017) 2 3 Swedish Linköping C
6CIII Industrial Engineering and Management, M Sc in Engineering 5 (Autumn 2017) 2 3 Swedish Linköping E
6CIII Industrial Engineering and Management, M Sc in Engineering (Electrical Engineering Specialization) 5 (Autumn 2017) 2 3 Swedish Linköping C
6KMAT Mathematics 5 (Autumn 2017) 2 3 Swedish Linköping E
6KMAT Mathematics (Applied Mathematics) 5 (Autumn 2017) 2 3 Swedish Linköping E
ECV = Elective / Compulsory / Voluntary

Main field of study

Electrical Engineering

Course level

First cycle

Advancement level

G2X

Course offered for

  • Industrial Engineering and Management - International, M Sc in Engineering
  • Biomedical Engineering, M Sc in Engineering
  • Applied Physics and Electrical Engineering - International, M Sc in Engineering
  • Applied Physics and Electrical Engineering, M Sc in Engineering
  • Mathematics
  • Industrial Engineering and Management, 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

Calculus, Linear Algebra, Basic Electronics.
Good handling of Fourier series, Fourier transforms, Laplace transforms, and z-transforms.

Intended learning outcomes

This course will give basic knowledge about analysis and synthesis of continuous-time and discrete-time linear systems, primarily through the use of mathematical tools from transform theory. Students who pass the course are expected to:

  • Define and interpret system properties such as linearity, time invariance, causality, and stability, as well as manage the consequences of those associated with problem solving.
  • Interpret and mathematically manage time and frequency characteristics of deterministic continuous-time and discrete-time signals and linear time invariant (LTI) systems.
  • Sketch the Bode plot of an LTI system and analyze how it is influenced by the positions of the poles and zeros of the transfer function.
  • Calculate the output signal for given LTI systems, both in the time domain and in the frequency/transform domain - in the latter case, by means of appropriate transformations.
  • Model problems from different application areas (such as electrical engineering, mechanical engineering, biotechnology, economics, and more) via LTI system models and analyze these models, both in the time domain and the frequency/transform domain.
  • Describe the sampling theorem and its consequences, and use this theorem in problem solving and to design and analyze simple sampled systems.
  • Give a well structured and logically coherent account - using adequate terminology - of the connections between different concepts in the course, both in Swedish and in English.

Course content

  • About signals and systems.
  • System properties - in particular linearity, time invariance, causality and stability.
  • Impulse response and step response. Convolution.
  • Differential and difference equation description of linear continuous-time and discrete-time systems, respectively.
  • Frequency analysis of signals and systems. Frequency spectrum, amplitude and phase spectrum. Frequency response. Magnitude and phase characteristics.
  • About passive frequency selective filters.
  • Laplace transform and z-transform analysis of signals and systems. The transfer function. Pole-zero diagrams.
  • Cascade couplings and feedback.
  • Sampling and reconstruction - time properties and spectral relations. The Poisson summation formula, the sampling theorem and pulse amplitude modulation.
  • Application examples.

Teaching and working methods

Lectures, lessons, and laboratory work using Matlab.

Examination

TEN1Written examination5 creditsU, 3, 4, 5
LAB1Laboratory work1 creditsU, G

Grades

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

Other information

Supplementary courses: Subsequent courses in areas such as signal and image processing, telecommunications, electronics, control engineering, biomedical engineering, etc. 

Department

Institutionen för systemteknik

Director of Studies or equivalent

Klas Nordberg

Examiner

Lasse Alfredsson

Course website and other links

http://www.cvl.isy.liu.se/education/undergraduate/TSDT18

Education components

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

Course literature

Additional literature

Books


  • Choose one of the books that are suggested as suitable course books on the course web page. The lectures are primarily formed according to "Linear Systems and Signals", 2nd Edition, B. P. Lathi, Oxford Univ. Press.
Code Name Scope Grading scale
TEN1 Written examination 5 credits U, 3, 4, 5
LAB1 Laboratory work 1 credits U, G

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

Choose one of the books that are suggested as suitable course books on the course web page. The lectures are primarily formed according to "Linear Systems and Signals", 2nd Edition, B. P. Lathi, Oxford Univ. Press.

Note: The course matrix is not fully translated to English.

I U A Modules Comment
1. ÄMNESKUNSKAPER
1.1 Kunskaper i grundläggande matematiska och naturvetenskapliga ämnen
X
X
LAB1
TEN1
A: Analys, Linjär algebra. A,U: Transformteori som matematiskt verktyg.
1.2 Kunskaper i grundläggande (motsvarande G1X) teknikvetenskapliga ämnen
X
X
LAB1
TEN1
A: Elektronik/Elektriska kretsar. U: Tidskontinuerliga och -diskreta signaler och linjära system.
1.3 Fördjupade kunskaper (motsvarande G2X), metoder och verktyg inom något/några teknik- och naturvetenskapliga ämnen
X
Relaterar kursmaterialet till fortsättningskurser och tillämpningar.
1.4 Väsentligt fördjupade kunskaper (motsvarande A1X), metoder och verktyg inom något/några teknik- och naturvetenskapliga ämnen
1.5 Insikt i aktuellt forsknings- och utvecklingsarbete
2. INDIVIDUELLA OCH YRKESMÄSSIGA FÄRDIGHETER OCH FÖRHÅLLNINGSSÄTT
2.1 Analytiskt tänkande och problemlösning
X
X
LAB1
TEN1
U,A: Modellering och lösning av formulerade problem, inklusive rimlighetsbedömning av lösningarna.
2.2 Experimenterande och undersökande arbetssätt samt kunskapsbildning
2.3 Systemtänkande
X
LAB1
TEN1
Modellering och analys av linjära system.
2.4 Förhållningssätt, tänkande och lärande
X
X
TEN1
U,A: Individuell problemlösning. A: Förmåga att planera sin tid och sina resurser; att arbeta mot en deadline.
2.5 Etik, likabehandling och ansvarstagande
3. FÖRMÅGA ATT ARBETA I GRUPP OCH ATT KOMMUNICERA
3.1 Arbete i grupp
X
LAB1
Lab i mindre grupper. Examination av förmågan i någon mån via labredovisningens kvalitet.
3.2 Kommunikation
X
LAB1
Laborationsredovisning. Förmåga att förmedla matematisk-tekniska resonemang på ett logiskt och strukturerat sätt.
3.3 Kommunikation på främmande språk
4. PLANERING, UTVECKLING, REALISERING OCH DRIFT AV TEKNISKA PRODUKTER OCH SYSTEM MED HÄNSYN TILL AFFÄRSMÄSSIGA OCH SAMHÄLLELIGA BEHOV OCH KRAV
4.1 Samhälleliga villkor, inklusive ekonomiskt, socialt och ekologiskt hållbar utveckling för kunskapsutveckling
4.2 Företags- och affärsmässiga villkor
4.3 Att identifiera behov samt strukturera och planera utveckling av produkter och system
X
LAB1
TEN1
Enklare linjära system: Kravhantering, syntetisering/modellering och utvärdering av linjära system.
4.4 Att konstruera produkter och system
X
X
LAB1
TEN1
Filtersyntesmetoder.
4.5 Att realisera produkter och system
4.6 Att ta i drift och använda produkter och system
5. PLANERING, GENOMFÖRANDE OCH PRESENTATION AV FORSKNINGS- ELLER UTVECKLINGSPROJEKT MED HÄNSYN TILL VETENSKAPLIGA OCH SAMHÄLLELIGA BEHOV OCH KRAV
5.1 Samhälleliga villkor, inklusive ekonomiskt, socialt och ekologiskt hållbar utveckling
5.2 Ekonomiska villkor för kunskapsutveckling
5.3 Att identifiera behov samt strukturera och planera forsknings- eller utvecklingsprojekt
5.4 Att genomföra forsknings- eller utvecklingsprojekt
5.5 Att redovisa och utvärdera forsknings- eller utvecklingsprojekt

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