Course Details

EE-2027 Signals and Systems
Dr Martin Brown
E1k, Main Building
EE-2027 SaS, L1
Course Structure
20 lectures, 2 per week
4 tutorials (Matlab/Simulink exercises)
76 hours private study
20% Coursework
80% Exam
10 credit module
Relationship to other Modules
Pre-requisites: EE1.9 Engineering Mathematics 2
Dependent modules: EE2.10 Feedback Control Systems,
EE2.11 Communication Principles
EE-2027 SaS, L1
Reading List/Resources
AV Oppenheim, AS Willsky: Signals and Systems, 2nd Edition, Prentice
Hall, 1997
D Hanselman, B Littlefield “Mastering Matlab 6: A comprehensive
tutorial and reference”, Prentice Hall, 2001
JB Dabney, TL Harman “Mastering Simulink 4”, Prentice Hall 2001.
Haykin “Signals and Systems, John Wiley and Sons, 2002 - Signals and Systems at MIT - Signals and Systems
at Purdue - on-line set of Java applets
demonstrating various signals and system concepts
EE-2027 SaS, L1
Course Aims
To introduce the mathematical tools for analysing
signals and systems in the time and frequency
domain and to provide a basis for applying these
techniques in control and communications
• Mathematical understanding and Matlab/Simulinkbased application
• Analyse both continuous time and discrete time
signals and systems
• Analysis performed in both time and frequency
• Tools can be used for communications and control
EE-2027 SaS, L1
Course Learning Objectives
Academic knowledge
Understand and develop simple mathematical models for representing
signals and systems
Understand the relationship between time and frequency domain models of
dynamic systems
Convert time to frequency-domain models and vice versa
Understand the relationship between continuous and discrete-time models
Intellectual skills
Build a mathematical model from a real-life problem related to signals and
Interpret results achieved by mathematical solutions
Practical skills
Apply Matlab/Simulink tools for analysis and simulation of continuous and
discrete time systems
Analyse mathematical solutions in the context of the original problem
Transferable skills
Choose appropriate approach in problem solving situation
Present and communicate formalised results and conclusions
EE-2027 SaS, L1
Course Syllabus (i)
1 Concepts (3 lectures): Systems, signals, mathematical
models. Continuous-time and discrete-time signals.
Energy and power signals. Linear systems. Examples
for use throughout the course, introduction to Matlab
and Simulink tools
2 Linear systems, Convolution (3 lectures): Impulse
response, input signals as continuum of impulses.
Convolution, discrete-time and continuous-time
3 Basis functions (3 lectures): Concept of basis function.
Fourier series representation of time functions. Fourier
transform and its properties. Examples, transform of
simple time functions.
4 Sampling Discrete-time systems (2 lectures):
Sampling theorem, discrete Fourier transform
EE-2027 SaS, L1
Course Syllabus (ii)
5 Laplace transform (3 lectures): Laplace transform as
Fourier transform with convergence factor.
Properties of the Laplace transform
6 Transfer Function of Continuous-Time Systems (3
lectures): Transfer function, frequency response,
Bode diagram. Physical realisability, stability. Poles
and zeros, rubber sheet analogy.
7 Transfer Function of a Discrete-Time Systems (3
lectures): Impulse sampler, Laplace transform of
impulse sequence, z transform. Properties of the z
transform. Examples. Difference equations and
differential equations. Digital filters.
EE-2027 SaS, L1