TSDT84 · 8 credits · Basic level (G2F) · Tillämpad matematik, Elektroteknik
Signals and Systems, and Transform Theory
Active · next start HT 2026
65%
passed the latest ordinary exam
TEN3 · 14 Jan 2026 · 75 students
67%
passed the ordinary exams, all sittings over the last 5 years
TEN3 · 378 students
66%
Harder than 66% of courses at basic level
Compared with 874 courses at the same level, ordinary exams over the last three academic years. 146 students.
Part of 2 programmes
Exam
TEN3 Written examination
- 5
- 4
- 3
- U
Ordinary exams
67% passed · 378 students
- 65%75
- 73%71
- 49%76
- 80%80
- 70%76
Re-exams
58% passed · 220 students
- 58%24
- 67%42
- 44%9
- 89%19
- 43%14
- 71%35
- 29%24
- 37%19
- 33%12
- 73%22
- Pass the re-exam: 58% (220 students), compared with 67% (378 students) on the ordinary exam
- Get 4 or 5: 33% (598 students)
Other modules
Partial exams, hand-ins and labs. They are not part of the figures at the top.
Hand-in or lab
LAB1 Laboratory work
- G
Main rounds
100% passed · 391 students
- 100%82
- 100%88
- 100%67
- 100%84
- 100%70
Later rounds
No sittings with at least 5 students.
Show small sittings (3)
Sittings with fewer than 5 students, often credit transfers or special sittings. They are not part of any figure on this page.
- 100%1
- 100%1
- 100%4
Other module
KTR1 Written test
- G
- U
Main rounds
66% passed · 328 students
- 64%67
- 68%69
- 71%55
- 68%63
- 58%74
Later rounds
95% passed · 194 students
- 100%42
- 97%31
- 100%37
- 94%49
- 86%35
- Pass a later round: 95% (194 students), compared with 66% (328 students) on the ordinary exam
About the course
Aim
The course will give fundamental knowledge about analysis and synthesis of continuous-time and discrete-time linear systems, primarily through the use of mathematical tools from transform theory. After completing the course the student should be able to
- analyse and perform calculations on continuous-time signals and linear systems.
- analyse and perform calculations on discrete-time signals and linear systems, including sampling and reconstruction.
- use knowledge and skills from learning outcomes 1 and 2 to solve, with computer assistance, various problems in continuous-time and discrete-time signals and systems.
- use different transforms and their properties for continuous-time and discrete-time functions.
Content
- About signals and systems.
- Fundamental transform theory – Fourier series, the Fourier transform, the Laplace transform, the z-transform, the discrete Fourier transform.
- 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.
- Examiner
- Lasse Alfredsson
- Scheduled hours
- 70 h
- Main field of study
- Tillämpad matematik, Elektroteknik