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Syllabus for

Academic year
ESS010 - Signals and systems
Owner: TELTA
5,0 Credits (ECTS 7,5)
Grading: TH - Five, Four, Three, Not passed
Level: B

Teaching language: Swedish

Course module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 No Sp
0198 Examination 3,5 c Grading: TH   1,5 c 2,0 c   12 Dec 2005 pm M,  20 Apr 2006 am V,  22 Aug 2006 am V
0298 Design exercise + laboratory 1,5 c Grading: UG   0,5 c 1,0 c    

In programs

TIEKA INDUSTRIAL ENGINEERING AND MANAGEMENT - Systems and Mathematics, Year 2 (compulsory)


Professor  Mats Viberg


For single subject courses within Chalmers programmes the same eligibility requirements apply, as to the programme(s) that the course is part of.

Course specific prerequisites

Mathematics: linear differential equations, differential and integral calculus, complex analysis, Fourier series, Fourier transform, Laplace transform, z-transform and linear algebra.
Electronic Circuits: Operational amplifiers, resistors, inductors and capacitors. Kirchhoffs laws.
Computer tools: MATLAB, (pSpice).


The purpose of the course is to give a foundation for continuous studies within electrical engineering, especially within areas of interest for the Department of Signals and Systems: Control systems, Signal processing, Communication systems and Biomedical engineering. The course covers both synthesis and analysis of signals and systems, especially linear and time invariant systems.


The course includes lectures, exercises, three laboratory assignments and a design exercise. Modern computer based tools for analysis and design, especially MATLAB, are an integrated part of the course. The course covers: Continuous-time and discrete-time signals. Classification of signals and signal properties. Signal energy and power. Elementary signals (sinusoidals, exponentials, unit impulse). Elementary signal transformations (time reversal, time delay and time scaling). Classification of systems and system properties (linearity, time invariance, causality and stability). Different ways to represent a system (poles and zeroes, time- and frequency domain representations, block diagrams).
Linear filtering (convolution, magnitude and phase representation, Bode plots). Interpretation of transforms of signals, Laplace-, z- and Fourier transforms. Energy and power density spectrum. Connections between Fourier- and other transforms. The sampling theorem, sampling and reconstruction. Synthesis and realisation of analog and digital filters. Butterworth, Chebyshev och elliptic filters. Filter design techniques.


See external course web-page.


The student must pass the:
* Final (written) exam
* Laboratory course
* Design exercice

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