Study-Unit Description

Study-Unit Description


CODE SCE5101

 
TITLE Linear Dynamic Systems and Signals

 
UM LEVEL 05 - Postgraduate Modular Diploma or Degree Course

 
ECTS CREDITS 6

 
DEPARTMENT Systems and Control Engineering

 
DESCRIPTION This study-unit gives an introduction to linear systems and signals both in continuous and discrete time, presents signal transforms including Fourier, Laplace and Z transforms and relates the Fourier series and Fourier transform in continuous time with the discrete time Fourier transform and its variants.

Study-Unit Aims:

The aims of this study-unit are to:
- provide the basic concepts of dynamic systems and signals in both the continuous and discrete time domains;
- introduce the Fourier, Laplace and Z transforms and learn how to use these transforms for linear system analysis;
- evaluate the system response in the time domain through differential and difference equations or through convolution.

Learning Outcomes:

1. Knowledge & Understanding
By the end of the study-unit the student will be able to:

- represent linear time invariant (LTI) systems in the time domain using differential equations, difference equations;
- represent continuous time signals in the frequency domain using Fourier series and Fourier transform;
- represent discrete time signals in the frequency domain using the discrete Fourier transform and the discrete time Fourier transform;
- determine the output response of an LTI system given a specific input signal;
- determine the stability of an LTI system using the system's pole locations.

2. Skills
By the end of the study-unit the student will be able to:

- apply the relevant transforms to represent continuous or discrete time signals in the time or frequency domains;
- analyze the performance of continuous and discrete, linear time invariant systems in the time and frequency domains.

Main Text/s and any supplementary readings:

- Mrinal Mandal, Amir Asif, "Continuous and Discrete Time Signals and Systems", 1st Edition, Cambridge University Press, 2007.
- John G. Proakis, Dimitris G. Manolakis, "Digital signal processing", Pearson Prentice Hall , 4th Edition, 2007.
- Farid Golnaraghi, Benjamin C. Kuo, "Automatic Control Systems", Wiley, 9th Edition 2009.
- Edward W. Kamen, Bonnie S. Heck, "Fundamentals of Signals and Systems Using the Web and Matlab", 3rd Edition 2006.
- Zoran Gajic, "Linear Dynamic Systems and Signals", Prentice Hall 2003.

 
STUDY-UNIT TYPE Lecture, Independent Study, Project and Tutorial

 
METHOD OF ASSESSMENT
Assessment Component/s Sept. Asst Session Weighting
Assignment Yes 100%

 
LECTURER/S Alexandra Bonnici
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