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Signals and Systems, 6 credits
Signaler och system, 6 hp
TSDT18
Main field of study
Electrical EngineeringCourse level
First cycleCourse type
Programme courseExaminer
Lasse AlfredssonDirector of studies or equivalent
Klas NordbergEducation components
Preliminary scheduled hours: 56 hRecommended self-study hours: 104 h
ECV = Elective / Compulsory / Voluntary
Main field of study
Electrical EngineeringCourse level
First cycleAdvancement level
G2XCourse 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
| LAB1 | Laboratory work | 1 credits | U, G |
| TEN1 | Written examination | 5 credits | U, 3, 4, 5 |
Grades
Four-grade scale, LiU, U, 3, 4, 5Other information
Supplementary courses: Subsequent courses in areas such as signal and image processing, telecommunications, electronics, control engineering, biomedical engineering, etc.
Department
Institutionen för systemteknikDirector of Studies or equivalent
Klas NordbergExaminer
Lasse AlfredssonCourse website and other links
http://www.cvl.isy.liu.se/education/undergraduate/TSDT18Education components
Preliminary scheduled hours: 56 hRecommended 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 |
|---|---|---|---|
| LAB1 | Laboratory work | 1 credits | U, G |
| TEN1 | Written examination | 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.
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 might contain more information in Swedish.
I = Introduce, U = Teach, A = Utilize
| I | U | A | Modules | Comment | ||
|---|---|---|---|---|---|---|
| 1. DISCIPLINARY KNOWLEDGE AND REASONING | ||||||
| 1.1 Knowledge of underlying mathematics and science (G1X level) |
|
X
|
X
|
LAB1
TEN1
|
||
| 1.2 Fundamental engineering knowledge (G1X level) |
|
X
|
X
|
LAB1
TEN1
|
||
| 1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level) |
X
|
|
|
|||
| 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
TEN1
|
||
| 2.2 Experimentation, investigation, and knowledge discovery |
|
|
|
|||
| 2.3 System thinking |
|
X
|
|
LAB1
TEN1
|
||
| 2.4 Attitudes, thought, and learning |
|
X
|
X
|
TEN1
|
||
| 2.5 Ethics, equity, and other responsibilities |
|
|
|
|||
| 3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION | ||||||
| 3.1 Teamwork |
|
|
X
|
LAB1
|
||
| 3.2 Communications |
|
|
X
|
LAB1
|
||
| 3.3 Communication in foreign languages |
|
|
|
|||
| 4. CONCEIVING, DESIGNING, IMPLEMENTING AND OPERATING SYSTEMS IN THE ENTERPRISE, SOCIETAL AND ENVIRONMENTAL CONTEXT | ||||||
| 4.1 External, societal, and environmental context |
|
|
|
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| 4.2 Enterprise and business context |
|
|
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| 4.3 Conceiving, system engineering and management |
|
X
|
|
LAB1
TEN1
|
||
| 4.4 Designing |
X
|
X
|
|
LAB1
TEN1
|
||
| 4.5 Implementing |
|
|
|
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| 4.6 Operating |
|
|
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| 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 |
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| 5.2 Economic conditions for knowledge development |
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| 5.3 Identification of needs, structuring and planning of research or development projects |
|
|
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| 5.4 Execution of research or development projects |
|
|
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| 5.5 Presentation and evaluation of research or development projects |
|
|
|
|||
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