Study-Unit Description

Study-Unit Description


CODE SCE3101

 
TITLE Dynamic Systems and Signals 2

 
UM LEVEL 03 - Years 2, 3, 4 in Modular Undergraduate Course

 
ECTS CREDITS 5

 
DEPARTMENT Systems and Control Engineering

 
DESCRIPTION This study-unit aims to develop the ability of students for representing, modeling and analyzing discrete-time systems and signals using linear systems theory. It covers the concepts of signal sampling and reconstruction, the z-Transform, transfer function representation of linear systems and frequency domain analysis of discrete-time signals.

Study-unit Aims:

1. To provide an introduction to discrete-time systems and signals, including sampling, quantization, aliasing and reconstruction.
2. To apply the z-Transform for solving difference equations and representing linear time-invariant systems.
3. To provide the mathematical tools for analyzing discrete-time signals in the frequency domain by means of the Discrete-time and Digital Fourier Transform.

Learning Outcomes:

1. Knowledge & Understanding:

By the end of the study-unit the student will be able to:
1. Describe the effects of sampling and apply the Nyquist Theorem when presented with a problem involving signals and systems in the discrete-time domain.
2. Describe in writing the fundamentals of the Discrete-time Fourier Transform.
3. Describe in writing the fundamentals of the Digital Fourier Transform and its implementation.
4. Define, derive and explain in writing the z-Transform and its properties.

2. Skills:

By the end of the study-unit the student will be able to:
1. Apply the z-Transform and inverse z-Transform when presented with a difference equation, in order to find a time-domain solution.
2. Apply the z-Transform for analysis and representation, when presented with a problem concerning linear time-invariant systems in discrete-time.
3. Apply the Discrete-time Fourier Transform when presented with a problem involving discrete-time signals, in order to characterize the signal in the frequency domain.
4. Apply the Digital Fourier Transform when presented with a problem involving discrete-time signals, in order to characterize the signal in the frequency domain.

Main Text/s and any supplementary readings:

- Edward W. Kamen, Bonnie S. Heck, "Fundamentals of Signals and Systems Using the Web and Matlab", 3rd Edition 2006

 
ADDITIONAL NOTES Pre-requisite Study-unit: SCE1201

 
STUDY-UNIT TYPE Lecture, Practicum & Tutorial

 
METHOD OF ASSESSMENT
Assessment Component/s Assessment Due Sept. Asst Session Weighting
Report SEM1 No 20%
Examination (2 Hours) SEM1 Yes 80%

 
LECTURER/S Stefania Cristina

 

 
The University makes every effort to ensure that the published Courses Plans, Programmes of Study and Study-Unit information are complete and up-to-date at the time of publication. The University reserves the right to make changes in case errors are detected after publication.
The availability of optional units may be subject to timetabling constraints.
Units not attracting a sufficient number of registrations may be withdrawn without notice.
It should be noted that all the information in the description above applies to study-units available during the academic year 2023/4. It may be subject to change in subsequent years.

https://www.um.edu.mt/course/studyunit