Lectures and Laboratory Practicals using software simulation tools
Module Aim:
To introduce the students to the mathematical methods and tools to analyse signals and systems in the time and frequency domains with application to engineering problems.
Learning Outcomes
On successful completion of this module the learner should be able to:
LO1
Describe an engineering system in mathematical terms.
LO2
Analyse the system and predict its performance.
LO3
Simulate the system using appropriate mathematical techniques.
LO4
Understand the relationship between time and frequency domain models of dynamic systems.
LO5
Understand the relationship between continuous-time and discrete time models.
Pre-requisite learning
Module Recommendations
This is prior learning (or a practical skill) that is recommended before enrolment in this module.
No recommendations listed
Incompatible Modules
These are modules which have learning outcomes that are too similar to the learning outcomes of this module.
No incompatible modules listed
Co-requisite Modules
No Co-requisite modules listed
Requirements
This is prior learning (or a practical skill) that is mandatory before enrolment in this module is allowed.
Students should have completed CW527 or equivalent. They should also have knowledge of a relevant computer programming language.
Module Content & Assessment
Indicative Content
Introduction to Signals & Systems
Signals- Continuous - Time Signals - Discrete-Time Signals; Systems- Properties of Systems -Block diagrams - Signal Flow graphs
Mathematical Modelling of Physical Systems
Mathematical Models; Use of differential equations- First order systems; - Higher order systems
Linear Time-Invariant Systems
Impulse Representation of Signals; Convolution; Properties of LTI Systems; Causality; Stability; Difference Equations- Block Diagrams
Fourier Analysis
Fourier series applied to Periodic Signals; The Fourier Transform; The Discrete Fourier Transform; Applications
Sampling
The Sampling Theorem; Reconstruction of a signal; Aliasing; Sampling in the Frequency Domain; Decimation & Interpolation
The Laplace Transform
Applications of the Laplace Transform; Region of convergence; The Inverse transform; Geometric Evaluation of the Fourier Transform from a pole-zero plot; Initial & Final value Theorems
The z-Transform
Region of convergence; The inverse z-Transform; Geometric evaluation of the z-Transform; Properties of the z-Transform; Transformations between continuous-time and discrete-time systems.
Applications of feedback- Reasons for using feedback; Block Diagram representation of Control Systems; Transfer Functions; Sensitivity Analysis; System responses - Time responses -Frequency responses; Stability - Gain and Phase Margins
Assessment Breakdown
%
Continuous Assessment
20.00%
Practical
20.00%
End of Module Formal Examination
60.00%
Continuous Assessment
Assessment Type
Assessment Description
Outcome addressed
% of total
Assessment Date
Examination
Students are required to sit a written mid- term examination.
1,2,3,4,5
20.00
Sem 1 End
No Project
Practical
Assessment Type
Assessment Description
Outcome addressed
% of total
Assessment Date
Practical/Skills Evaluation
Students are required to complete a series of laboratory exercises; reports are submitted on each of these experiments.
1,2,3,4,5
20.00
Every Week
End of Module Formal Examination
Assessment Type
Assessment Description
Outcome addressed
% of total
Assessment Date
Formal Exam
The students are required to sit an end of the module examination.
1,2,3,4,5
60.00
End-of-Semester
SETU Carlow Campus reserves the right to alter the nature and timings of assessment