CODE | SCE1201 | ||||||||||||
TITLE | Dynamic Systems and Signals 1 | ||||||||||||
UM LEVEL | 01 - Year 1 in Modular Undergraduate Course | ||||||||||||
ECTS CREDITS | 5 | ||||||||||||
DEPARTMENT | Systems and Control Engineering | ||||||||||||
DESCRIPTION | This study-unit introduces the basic principles of dynamic systems and signals in the time domain. By means of the Fourier series and Fourier transform representations, the student is then provided with theoretical knowledge for the analysis of systems and signals in the frequency domain. The unit also provides the student with graphical techniques for plotting the frequency response of a system. Throughout the unit, the student is exposed to the use of MATLAB for signal analysis. Study-Unit Aims: 1. To provide a basic introduction to dynamic systems and signals, including representation of signals in the time domain. 2. To show how differential equations and convolution can be used to represent the relationship between the input and output signals of a system. 3. To provide the mathematical tools to represent signals in the frequency domain. 4. To analyse systems in the frequency domain and use Bode diagrams to plot the frequency response of a system. 5. To provide a basic introduction to Matlab programming and its use for signal and system analysis. Learning Outcomes: 1. Knowledge & Understanding: By the end of the study-unit the student will be able to: 1. Recognise and work with different standard time domain signals; 2. Understand how differential equations and convolution can be used to find the relationship between the input and output of a system in the time domain; 3. Understand how Fourier series can be used for the frequency representation of periodic signals; 4. Explain the theory behind the Fourier transform and how it can be used for the frequency representation of non-periodic signals; 5. make use of the different Fourier transform properties; 6. Analyse systems in the frequency domain and plot the frequency response of these systems using Bode diagrams; 7. Make use of Matlab programming for basic analysis of signals and systems in the time domain. 2. Skills: By the end of the study-unit the student will be able to: 1. Represent a graphical representation of a signal with a time domain function and find the output of a system if this signal is fed as an input; 2. Compute the convolution of two signals in the time domain; 3. Use the Fourier series or the Fourier transform to represent a time domain signal in the frequency domain using magnitude and phase spectra; 4. Manually plot the frequency response of a system using Bode diagrams; 5. Use Matlab to i) plot signals in the time domain, ii) analyse signals in the frequency domain using provided code and iii) plot the frequency response of a simulated system. Main Text/s and any supplementary readings: Main Texts: - Mrinal Mandal, Amir Asif, "Continuous and Discrete Time Signals and Systems", 1st Edition, Cambridge University Press, 2007. - B.P. Lathi, ‘Linear Systems and Signals’, 2nd Edition, Oxford University Press, 2005. |
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STUDY-UNIT TYPE | Lecture, Practicum & Tutorial | ||||||||||||
METHOD OF ASSESSMENT |
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LECTURER/S | Tracey Camilleri |
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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 2025/6. It may be subject to change in subsequent years. |