# EQ1100 Signals and Systems, part II 7.5 credits

Signals, linear systems, Laplace transform, z-transform, frequency domain description, basic filtering, sampled systems.

Course offering missing for current semester as well as for previous and coming semesters
Headings with content from the Course syllabus EQ1100 (Autumn 2011–) are denoted with an asterisk ( )

## Content and learning outcomes

### Course contents

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.

### Intended 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 disposition

No information inserted

## Literature and preparations

### Specific prerequisites

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

### Recommended prerequisites

SF1635 Signals and Systems I, or similar.

### Equipment

No information inserted

### 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 and completion

If the course is discontinued, students may request to be examined during the following two academic years.

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

### Examination

• LAB1 - Laboratory Work, 0,5 hp, betygsskala: P, F
• LAB2 - Assignment, 1,0 hp, betygsskala: P, F
• TEN1 - Examination, 6,0 hp, betygsskala: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

### Other requirements for final grade

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

### Opportunity to complete the requirements via supplementary examination

No information inserted

### Opportunity to raise an approved grade via renewed examination

No information inserted

### Ethical approach

• All members of a group are responsible for the group's work.
• In any assessment, every student shall honestly disclose any help received and sources used.
• In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

## Further information

### Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web EQ1100

### Offered by

EES/Signal Processing

### Main field of study

Electrical Engineering, Technology

First cycle