Module Specification |
| The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module. |
| Title | Signals and Systems | ||
| Code | ELEC270 | ||
| Coordinator |
Dr W Al-Nuaimy Electrical Engineering and Electronics Wax@liverpool.ac.uk |
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| Year | CATS Level | Semester | CATS Value |
| Session 2021-22 | Level 5 FHEQ | First Semester | 15 |
Aims |
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To introduce the student to the fundamentals of the analysis of continuous- and discrete-time signals and systems. To equip the student with the mathematical tools that would allow them to design and/or analyse a linear time-invariant system, e.g. a filter. To present the concepts involved with signals and systems. Namely: Signal Classification, Representation and Analysis Fourier Series Fourier Transform Laplace Transform Linear Time-invariant (LTI) Systems and Filters Discrete-time Fourier Series Discrete-time Fourier Transform z-Transform |
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Pre-requisites before taking this module (other modules and/or general educational/academic requirements): |
| MATH191 MATHEMATICS I FOR ELECTRICAL ENGINEERS; MATH192 MATHEMATICS II FOR ELECTRICAL ENGINEERS |
Co-requisite modules: |
Learning Outcomes |
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(LO1) An understanding of the use of Fourier Series to represent periodic continuous-time signals. |
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(LO2) An understanding of the use of the Fourier Transform to represent finite energy signals. |
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(LO3) An understanding of the Laplace Transform, its properties and its use in circuit and system analysis. |
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(LO4) An understanding of the use of Discrete-time Fourier Series to represent periodic discrete-time signals. |
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(LO5) An understanding of the use of the Discrete-time Fourier Transform. |
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(LO6) An understanding of the z-Transform, its properties and its use for discrete-time signals and systems. |
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(LO7) An understanding of the relationship between time and frequency domains. |
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(LO8) An understanding of Linear Time Invariant Systems, and filters, both in the continuous- and discrete-time domains. |
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(LO9) An appreciation of the relationship between the system function and the frequency response. |
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(LO10) The ability to deal with real physcial signals and analyse, synthesise and otherwise manipulate them using available laboratory equipment. |
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(LO11) An appreciation of the relationship between the syst em function and the frequency response. |
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(S1) On successful completion of the module, students should be able to show experience and enhancement of the following key skills: Independent learning Problem solving and design skills |
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(S2) After completion of the module, the student should have: the ability to analyse continuous- and discrete-time signals and to design and analyse simple linear continuous and discrete systems |
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Syllabus |
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Continuous-time signals & systems Fourier Series: Time and frequency domain description of signals; Trigonometric and complex exponential Fourier series; Symmetry and time-shifting properties and Amplitude and power spectra. Fourier Transform: Fourier transform and inverse transform; Spectral density; Convolution theory; Fast Fourier transform and Examples. Laplace Transform: Laplace transform and inverse Laplace transform; Properties including linearity, time-diffentiation and integration; Generalisation of the Fourier transform. Linear Time-invariant (LTI) Systems and Filters: Discrete-time signals & systems: |
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Teaching and Learning Strategies |
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Due to Covid-19, one or more of the following delivery methods will be implemented based on the current local conditions. and safety guidelines. (a) Hybrid delivery, with social distancing on Campus Teaching Method 1 - On-line asynchronous lectures Teaching Method 2 - Synchronous face to face tutorials (b) Fully online delivery and assessment Teaching Method 1 - On-line asynchronous lectures Teaching Method 2 - On-line synchronous tutorials (c) Standard on-campus delivery with minimal social distancing Teaching Method 1 - Lecture Teaching Method 2 - Tutorial |
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Teaching Schedule |
| Lectures | Seminars | Tutorials | Lab Practicals | Fieldwork Placement | Other | TOTAL | |
| Study Hours |
12 |
12 |
7 |
6 8 |
45 | ||
| Timetable (if known) | |||||||
| Private Study | 105 | ||||||
| TOTAL HOURS | 150 | ||||||
Assessment |
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| EXAM | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
| (270.2) Class Tests x 6 There are no resit opportunities. Non-standard penalty applies for late submission - Hard online deadline. This is an anonymous assessment. Assessment Schedule (When) : | 1 | 40 | ||||
| (270) Assessment 3 There is a resit opportunity. Non-standard penalty applies for late submission - N/A This is an anonymous assessment. Assessment Schedule (When) :Semester 1 examination peri | 0 | 50 | ||||
| CONTINUOUS | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
| (270.1) Assessment 1 There is a resit opportunity. Standard UoL penalty applies for late submission. This is not an anonymous assessment. Assessment Schedule (When) :As scheduled - Semester 1 | 0 | 10 | ||||
Reading List |
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| Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module. | |