SIGNALS AND SYSTEMS (CCE)

 SHE Level 3 SCQF Credit Points 20.00 ECTS Credit Points 10.00 Module Code M3H624664 Module Leader Martin MacDonald School School of Computing, Engineering and Built Environment Subject SCEBE - School Office Trimesters A (September start) B (January start)

Pre-Requisite Knowledge

Circuit Theory and Analysis, Technical Mathematics 1

Summary of Content

The aim of this course is to provide the student with the knowledge and skills required to analyze, design, and test analogue and digital electronic systems, use various implementation techniques to verify for the designed systems.

Syllabus

Basics of signals and systems : Size of a signal, classification of signals, useful signal operations, signal models, even and odd functions, continuous and discrete time signals; Systems, classification of systems, system model-input-output description, continuous and discrete time systems Time domain analysis of continuous time systems: System response to internal conditions: zero internal conditions, the unit impulse response-h(t), system response to external input:zero-state response, system stability's intuitive insight into system behavior, Fourier series, Fourier transform and Laplace Transform: Signal representation by orthogonal signal set, The Fourier series and its numerical computation, properties of Fourier series Aperiodic signal representation by Fourier transform, Fourier transform of common functions, properties of Fourier Transform The Laplace transform, properties of Laplace transform, solution of differential equations using Laplace transform, analysis of electrical networks Discrete time signals and systems: Useful discrete time signal models, sampling continuous time sinusoids and aliasing, examples of discrete time systems, equations of discrete time system, impulse response, linearity, BIBO-stability, causality and shift in variance, examples of LTI systems, representing LTI systems in terms of impulses. The Z Transform: Definition, properties of Z-transform, relationship between Laplace transform and Z-transform, mapping from s-plane to Z-plane, sampled data systems

Learning Outcomes

On completion of this module the student should be able to:1. Distinguish between discrete and continuous signals.(AM1)2. Determine the system response to internal conditions and impulse response for discrete and continuous systems.(AM1)3. Test systems for stability, causality and shift invariance. (AM1)4. Represent periodic signals with Fourier series. (AM1, AM5)5. Represent signals and systems using Fourier Laplace and Z transforms. (AM1, AM5) 6. Apply the concept of Nyquist theorem in sampling process. (AM1, AM5)7. Explain the criteria involved in mapping from s-plane to Z-plane (AM1)

Teaching / Learning Strategy

The main teaching method will be based on lectures. The students will be expected to perform directed reading exercises and self-learning exercises on emerging technologies. Tutorials will be used to reinforce the module material discussed during lecture sessions. Tutorials also serve as a platform of technical discussions to clarify any queries that arise from directed studies.

Text Book: 1. Lathi, B. P. (2009).Signal Processing & Linear systems, Oxford University Press, Inc. Reference Books: 1. Edward W. KamenandBonnie S. Heck. (2007).Fundamentals of signals and systems using the Web and MATLAB.3rd ed. Pearson Prentice Hall. 2. Roberts,M.J. (2011). Signals and Systems: Analysis Using Transform Methods & MATLAB.2nd ed. McGraw-Hill Companies,Inc. 3. Alan V. Oppenheim.,Alan S. Willsky,andIan T. Young. (1983).Signals and systems. Prentice-Hall.

Transferrable Skills

Problem Solving and Numeracy Communication/Literacy/Linguistic/Critical Evaluation

Module Structure

Activity Total Hours
Assessment (FT) 16.00
Tutorials (FT) 28.00
Lectures (FT) 56.00
Independent Learning (FT) 100.00

Assessment Methods

Component Duration Weighting Threshold Description
Coursework 2 n/a 20.00 35% Assignment-written report-maximum 2000 words
Exam (School) 1.50 20.00 35% Mid-term test : (Unseen written - 1 ½ Hours)
Coursework 1 n/a 10.00 35% Quizzes-summative
Exam (Exams Office) 3.00 50.00 35% Final Examination: (Unseen written - 3 Hours)