Linear Systems, 6 credits

Linjära system, 6 hp

TSEI50

Course starting semester

Main field of study

Electrical Engineering

Course level

First cycle

Course type

Programme course

Examiner

Håkan Johansson

Director of studies or equivalent

Klas Nordberg

Education components

Preliminary scheduled hours: 64 h
Recommended self-study hours: 96 h

Available for exchange students

Yes

Possible deviation from course syllabus/programme syllabus

ECV = Elective / Compulsory / Voluntary

Course offered for		Semester	Period	Timetable module	Language	Campus	ECV
6IELK	Engineering Electronics, B Sc in Engineering	3 (Autumn 2017)	1	1	English	Linköping, Valla	C

Main field of study

Electrical Engineering

Course level

First cycle

Advancement level

G1X

Course offered for

Engineering Electronics, B 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, Circuit Theory

Intended learning outcomes

The aim of the course is to give basic knowledge about methods for the analysis of linear discrete-time systems and to serve as preparation for other courses. After the course, the student is expected to be able to:

analyze and perform computations on discrete-time systems,
use transforms to solve problems within discrete-time systems,
analyze and perform computations on mixed continuous-time/discrete-time systems (sampling and reconstruction),
use computer programs to solve problems within discrete-time systems.

Course content

Signals and systems. Classification of signals. Classification of systems. System analysis. Discrete-time signals and systems. Difference equations. Convolution. Stability. Representation of linear discrete-time systems. Applications. Analysis with the z-transform. Transfer function. Poles and zeros. Stability and causality. Frequency response. Fourier transform. Sampling and reconstruction. The sampling theorem. Systems with different sampling frequencies. Fourier series. DFT. Introduction to discrete-time filters.

Teaching and working methods

The course is organised in lectures/lessons and laboratory work.

Examination

LAB1	Laboratory work	1.5 credits	U, G
TEN1	Written examination	4.5 credits	U, 3, 4, 5

Grades

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

Other information

Supplementary courses: Automatic Control, Digital Filters.

Department

Institutionen för systemteknik

Director of Studies or equivalent

Klas Nordberg

Examiner

Håkan Johansson

Course website and other links

Education components

Preliminary scheduled hours: 64 h
Recommended self-study hours: 96 h

Course literature

Additional literature

Books

H. Johansson, Discrete-Time Systems

Compendia

Material handed out during the course.

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.

Student rights and obligations (login required)
Linköping University common rules and regulations (in Swedish)

Additional literature

Books

H. Johansson, Discrete-Time Systems

Compendia

Material handed out during the course.

Download

Download course literature list as PDF

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

I = Introduce, U = Teach, A = Utilize

		U	A	Modules
1. DISCIPLINARY KNOWLEDGE AND REASONING
	1.1 Knowledge of underlying mathematics and science (G1X level)		X	TEN1
	1.2 Fundamental engineering knowledge (G1X level)	X	X	TEN1
	1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level)
	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	LAB1
	2.2 Experimentation, investigation, and knowledge discovery	X	X	LAB1
	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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