| Obligation |
: |
Must |
| Prerequisite courses |
: |
MAT236 |
| Concurrent courses |
: |
- |
| Delivery modes |
: |
Face-to-Face |
| Learning and teaching strategies |
: |
Lecture, Discussion, Question and Answer, Problem Solving |
| Course objective |
: |
The aims of this course are as follows: Teach the students the basic properties of continuous and discrete-time sgnals and systems Make them competent in signal and system analysis both in time and frequency domains |
| Learning outcomes |
: |
Know the basic concepts about signals and systems and classify them accordingly Compute the system output both for periodic and aperiodic signals Understand and explain the relation between time and frequency domains Use the Fourier, Laplace and z-transforms effectively in in signal and system analysis Understand the sampling theorem and identify the relation between a continuous-time signal and its sampled version both in the time domain and the frequency domain |
| Course content |
: |
Basic signal and system concepts Properties of linear time-invariant systems Fourier series expansions of continuous and discrete-time periodic signals Fourier transforms of continuous and discrete-time signals Computation of the outputs of linear time-invariant systems Frequency selective filters and the relation between time and frequency The Laplace transform and its region of convergence The z-transform and its region of convergence |
| References |
: |
Oppenheim A.V., Willsky A.S., Nawab S.H., Signals and Systems, 2nd Ed., Prentice Hall, 1997.; Phillips C.L., Parr J., Riskin E., Signals, Systems, and Transforms, 4th Ed., Prentice Hall, 2007. |
Course Outline Weekly
| Weeks |
Topics |
| 1 |
Basic signal properties, basic signals in discrete and continuous time. |
| 2 |
Basic system properties, linear time-invariant (LTI) systems, the convolution integral and the convolution sum |
| 3 |
Relation betwen LTI system properties and impulse response, Systems defined by differential and difference equations, Infinite and finite impulse response discrete systems, Block diagram representations |
| 4 |
Fourier series expansion of continuous-time periodic signals, Properties of continuous-time Fourier series |
| 5 |
Fourier series expansion of discrete-time periodic signals, Properties of discrete-time Fourier series |
| 6 |
Computation of the output of an LTI system having a periodic input signal, Simple frequency selective filters and the relation between their time and frequency responses |
| 7 |
The continuous-time Fourier transform, Properties of the continuous-time Fourier transform |
| 8 |
The discrete-time Fourier transform, Properties of the discrete-time Fourier transform |
| 9 |
Application of the Fourier transforms to systems defined by differential or difference equations, Duality relations |
| 10 |
Midterm Exam |
| 11 |
Sampling of continuous-time signals, The Nyquist criterion, aliasing, reconstruction and bandlimited interpolation, Processing of continuous-time signals by discrete-time systems |
| 12 |
The Laplace transform and its region of convergence, Poles and zeroes, geometric computation of the continuous-time Fourier transform |
| 13 |
Properties of the Laplace transform, The z-transform and its region of convergence |
| 14 |
Poles and zeroes, geometric computation of the discrete-time Fourier transform, Properties of the z-transform |
| 15 |
Preparation for Final exam |
| 16 |
Final exam |
Matrix Of The Course Learning Outcomes Versus Program Outcomes
| Key learning outcomes |
Contribution level |
| 1 |
2 |
3 |
4 |
5 |
| 1. |
Possesses the theoretical and practical knowledge required in Electrical and Electronics Engineering discipline. | | | | | |
| 2. |
Utilizes his/her theoretical and practical knowledge in the fields of mathematics, science and electrical and electronics engineering towards finding engineering solutions. | | | | | |
| 3. |
Determines and defines a problem in electrical and electronics engineering, then models and solves it by applying the appropriate analytical or numerical methods. | | | | | |
| 4. |
Designs a system under realistic constraints using modern methods and tools. | | | | | |
| 5. |
Designs and performs an experiment, analyzes and interprets the results. | | | | | |
| 6. |
Possesses the necessary qualifications to carry out interdisciplinary work either individually or as a team member. | | | | | |
| 7. |
Accesses information, performs literature search, uses databases and other knowledge sources, follows developments in science and technology. | | | | | |
| 8. |
Performs project planning and time management, plans his/her career development. | | | | | |
| 9. |
Possesses an advanced level of expertise in computer hardware and software, is proficient in using information and communication technologies. | | | | | |
| 10. |
Is competent in oral or written communication; has advanced command of English. | | | | | |
| 11. |
Has an awareness of his/her professional, ethical and social responsibilities. | | | | | |
| 12. |
Has an awareness of the universal impacts and social consequences of engineering solutions and applications; is well-informed about modern-day problems. | | | | | |
| 13. |
Is innovative and inquisitive; has a high level of professional self-esteem. | | | | | |
