wind
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EE-2027 Signals and Systems
Dr Martin Brown
E1k, Main Building
martin.brown@manchester.ac.uk
http://personalpages.umist.ac.uk/staff/martin.brown/signals
EE-2027 SaS, L1
1/7
Course Structure
Timetable
20 lectures, 2 per week
4 tutorials (Matlab/Simulink exercises)
76 hours private study
Assessment
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
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Reading List/Resources
Essential
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.
Recommended
Haykin “Signals and Systems, John Wiley and Sons, 2002
http://www.mit.edu/~6.003/ - Signals and Systems at MIT
http://dynamo.ecn.purdue.edu/~bouman/ee301/ - Signals and Systems
at Purdue
http://www.jhu.edu/~signals/index.html - on-line set of Java applets
demonstrating various signals and system concepts
EE-2027 SaS, L1
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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
engineering
• Mathematical understanding and Matlab/Simulinkbased application
• Analyse both continuous time and discrete time
signals and systems
• Analysis performed in both time and frequency
domain
• Tools can be used for communications and control
EE-2027 SaS, L1
4/7
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
systems
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
5/7
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
properties
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
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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.
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