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EE3118 Linear Systems and Signal Analysis
Part I
Course Duration: One Semester (13 weeks)
Credit Units: 3
Level: B3
Medium of instruction: English
Prerequisites:
MA2149 Mathematical Analysis or
MA2170 Linear Algebra and Multi-variable Calculus
Precursors: Nil
Equivalent Course: Nil
Exclusive Courses: Nil
Part II
Course Aims:
The aim of this course is for students to develop an understanding of the properties of signal and systems, and an ability to analyse the dynamical behaviour of continuous-time and discrete-time linear systems in relationship with signals.
Course Intended Learning Outcomes (CILOs)
Upon successful completion of this course, students should be able to: No. | CILOs | 1. | | 2. | Describe and perform different domain transformations | 3. | Derive the system model/equation from an electronic circuit or a real system, and assess its dynamical behaviours | 4. | Analyse a linear system with different kinds of input signals by solving the system model/equation directly or applying domain transformation | 5 | Determine the system parameters of a linear system for which some specified output or frequency responses are satisfied |
Teaching and Learning Activities (TLAs)
(Indicative of likely activities and tasks designed to facilitate students’ achievement of the CILOs. Final details will be provided to students in their first week of attendance in this course) CILO 1 | Possible Large class activities: lecturing, quizzes, chapter review, etc.
Possible Small group activities: laboratory/project works, tutorial exercise, etc.
Possible Self-learning activities: report writing, reading of reference books, etc. | CILO 2 | CILO 3 | CILO 4 | CILO 5 |
Timetabling Information Pattern | Hours | Lecture: | 26 | Tutorials: | 13 | Laboratory: | 9 | Other activities: | |
Assessment Tasks/Activities
(Indicative of likely activities and tasks designed to assess how well the students achieve the CILOs. Final details will be provided to students in their first week of attendance in this course) | Type of assessment tasks | Weighting
(if applicable) | Continuous Assessment | Assignments, Quizzes, Tests, Lab/Project work and Lab/Project report | 30% | Examination | Written exam (2 hours) | 70% |
Remarks: To pass the course, students are required to achieve at least 35% in the course work and 35% in the examination. Also, 75% laboratory attendance rate must be obtained.
Grading of Student Achievement:
Letter Grade | Grade Point | Grade Definitions | A+
A
A- | 4.3
4.0
3.7 | Excellent | B+
B
B- | 3.3
3.0
2.7 | Good | C+
C
C- | 2.3
2.0
1.7 | Adequate | D | 1.0 | Marginal | F | 0.0 | Failure |
Constructive Alignment with Programme Outcomes PILO | How the course contribute to the specific PILO(s) | 1, 2, 5 | The use of mathematical and engineering techniques is central to the aims of this course with ample opportunity to apply these techniques for solving some engineering problems in class and in the laboratory. | 4, 7, 10 | A three-session laboratory/project is scheduled to allow students to practice this type of work which is directly linked to the skills learnt during the lectures. Students can adopt their learnt engineering tools in solving the designed laboratory/project tasks and practise their communication skills in report writing and demonstrations. |
Part III
Keyword Syllabus:
Introduction to Signals
Classification of signals, special function signals, representation of periodic signals by Fourier series and by continuum of impulse, Dirac impulse function, discrete spectrum, power and energy signals; continuous time Fourier transform (inverse) and its properties, energy spectrum, spectra of common waveforms.
Laplace Transform and Application in Network Analysis
Network Elements, Initial and final Conditions, Step and Impulse Response, Analysis of Linear Networks using differential equations.
Definition of bilateral Laplace transform, convergence of Laplace transform, properties of Laplace transform, inverse Laplace transform; Linear network analysis in the Laplace-domain: solution of linear differential equations, initial and final value theorems, poles and zeros, stability, response to an arbitrary input, response to periodic nonsinusoidal inputs, transient response, transformed method in network analysis, amplitude and phase response of networks.
Introduction to Linear Time-Invariant (LTI) Systems with Signals
Definition of linear systems, classification of systems; time-invariant; causal and non-causal systems, superposition principle, impulse response, response of LTI systems, systems with periodic inputs, input-output systems, transfer functions, convolution and deconvolution, transient and steady state solutions; stability of linear systems.
Introduction to Discrete Systems and Signals
Difference equation models and q-operator; solution of linear difference equations; realization of discrete-time systems; convolution and deconvolution, impulse response sequence for discrete systems; sampling theorem, sampling and hold; discrete Fourier series and transforms.
Z-Transforms
Definition of the z-transform; relationship with Laplace and Fourier transforms; properties of z-transform, inverse of z-transform; solution of difference equation; transfer function of linear discrete-time systems, poles and zeros, transformation between continuous-time and discrete-time systems, system responses and stability.
Last Updated on: 20 Jul 2011
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