EQ1100 Signals and Systems, part II 7.5 credits

• Educational level

  First cycle

• Academic level (A-D)

  C

• Subject area

  Electrical Engineering
  Techonology
  

• Grade scale

  A, B, C, D, E, FX, F

• Course page on KTH Social

Learning outcomes

The aim is to provide basic knowledge about continuous-time and discrete-time linear systems and their dynamical properties.

After completing the course You should be able to

• understand the meaning and practice relevance of system properties such as linearity, time invariance, stability and causality.
• use mathematical transform methods to analyze linear time invariant systems, both continuous time and discrete time systems and combinations thereof. Especially:
• analyze continuous time systems using Fourier transform as well as unilateral and bilateral Laplace transform.
• analyze discrete time systems using Discrete Time Fourier Transform as well as unilateral and bilateral Z-transform.
• interprete, analyze and synthesize continuous time systems in the form of electrical circuits and discrete time systems in the form of block diagrams or program code.
• describe LTI systems and calculate their output signal, using impulse response, convolution, transfer function and frequency response.
• calculate poles and zeros of an LTI system and relate their position to system properties like transfer function and frequency response.
• in a simple way calculate the output signal for a stationary sinusoid.
• use mathematical software like MATLAB to analyze and  simulate LTI systems and for basic filter design.
• describe and calculate the output of sampling and reconstruction (pulse amplitude modulation), for arbitrary input signals, sampling frequencies and pulse shapes, in the time and frequency plane.
• know about the theoretical and practical relevance of the sampling theorem.
• analyze sampled systems.
• know about filter concepts like bandwidth and ideal filter types.

Course main content

Linear systems: System properties (stability, causality, time-invariance), block diagrams, impulse response, convolution.

Frequency description: Frequency response, frequency function, filtering.

Transform methods for time continuous and time discrete signals and systems, Fourier tranforms, Laplace transform and Z-transform.

Sampling, pulse amplitude modulation and sampled systems.

Eligibility

For single course students: General admission requirements, 60 credits and documented proficiency in English B and Swedish B or equivalent

Prerequisites

SF1635 Signals and Systems I, or similar.

Literature

One of the following 2 books:

– H.P. Hsu, “Shaum’s Outline of Signals and Systems”, McGraw-Hill, 1995, ISBN 0-07-030641-9

– B.P. Lathi, “Linear Systems and Signals”, 2nd edition, Oxford University Press, ISBN 0-19-515833-4

Examination

• LAB1 - Laboratory Work, 0.5 credits, grade scale: P, F
• LAB2 - Assignment, 1.0 credits, grade scale: P, F
• TEN1 - Examination, 6.0 credits, grade scale: A, B, C, D, E, FX, F

Requirements for final grade

Written exam (TEN1; 6 ECTS).
Laboratory exercise (LAB1; 0,5 ECTS).
Homework problem (LAB2; 1 ECTS).

Offered by

EES/Signal Processing

Contact

Mats Bengtsson, Magnus Jansson, Joakim Jalden

Examiner

Joakim Jaldén <jalden@kth.se>

Mats Bengtsson <matben@kth.se>

Magnus Jansson <janssonm@kth.se>

Supplementary information

Replaces 2E1313

Add-on studies

EQ1240/EQ1260 Signal Processing or EQ1220 Signal Theory.

Version

Course plan valid from: Autumn 11.
Examination information valid from: Autumn 07.