Course Details
Course Information Package
| Course Unit Title | SIGNALS, SYSTEMS AND TRANSFORMS | ||||||||
| Course Unit Code | AELE210 | ||||||||
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| Number of ECTS credits allocated | 5 | ||||||||
| Learning Outcomes of the course unit | By the end of the course, the students should be able to:
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| Mode of Delivery | Face-to-face | ||||||||
| Prerequisites | AMAT122,AELE221 | Co-requisites | NONE | ||||||
| Recommended optional program components | NONE | ||||||||
| Course Contents | Introduction to Signals, Systems and Transforms: Basic concepts of signals, What is a signal and how is represented? Signals classifications and properties. Elementary signals (unit-step, ramp function, sampling, unit impulse) Basic concepts of systems. What is a system and how is represented? Systems classifications and properties. Signals and systems relationship. Linear time-invariant systems. Series and Transform. Continuous and Discrete Transformations (Fourier and Laplace). Discrete/Continuous Time Signals/Systems: Classification. Basic concepts of Discrete/Continuous Time Systems. Discrete/Continuous Time Impulse. Discrete/Continuous Time Convolution. Properties of Discrete Time. Eigenfunctions of Discrete Time LTI Systems. Linear Constant Coefficient Differential Equations Solving Linear Constant Coefficient. Differential Equations. State-Variable Representation. Laplace/Z Transform: Introduction to Laplace Transform. Common Laplace Transforms. Properties of the Laplace Transform. Inverse Laplace Transform. Poles and Zeros in the S-Plane. Region of Convergence for the Laplace Transform. Rational Functions and the Laplace Transform. Differential Equations. Continuous Time Filter Design. Introduction to Z-Transform. Common Z-Transforms and their properties. Inverse Z-Transform. Poles and Zeros in the Z-Plane. Region of Convergence for the Z-transform. Difference Equations. Discrete Time Filter Design. R-L, R-C and RLC circuits analysis using Laplace Analysis. Fourier Transform: Discrete and Continuous Fourier Representations. Fourier Series. Continuous Time Fourier Series (CTFS). Common Fourier Series. Properties of the CTFS. Continuous Time Circular Convolution and the CTFS. Convergence of Fourier Series. Discrete Time Fourier Series (DTFS). Common Discrete Fourier Series. Properties of the DTFS. Continuous Time Fourier Transform (CTFT). Common Fourier Transforms. Properties of the CTFT. Continuous Time Convolution and the CTFT. Fourier Transform Discrete Time. Sampling Theorem. Signal Reconstruction. Perfect Reconstruction. Aliasing Phenomena. R-L, R-C and RLC circuits’ analysis using Laplace Analysis. Matlab Laboratory: Basic Matlab programming and plotting. Use the Matlab Signal Processing toolbox to program signal representations and generate waveforms. Design and develop signal processing systems using Matlab. Programming transformations. | ||||||||
| Recommended and/or required reading: | |||||||||
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| References |
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| Planned learning activities and teaching methods | The course is structured around lectures, laboratory exercises and individual work. During the lectures, students are encouraged to participate in discussions enabling the exchange of ideas and examples. Laboratory exercises are handed to students and their solutions are discussed at laboratory periods. Additional tutorial time at the end of each lecture is provided to students as well as additional notes for each section of the course and worksheets, which process in the lab or as homework. Students are expected to demonstrate the necessary effort to become confident with the different concepts and topics of the course. | ||||||||
| Assessment methods and criteria |
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| Language of instruction | English | ||||||||
| Work placement(s) | NO | ||||||||
