Courses & Units
Signals and Linear Systems ENG204
Introduction
This unit introduces fundamental and advanced concepts to design, analyse and evaluate signals and the response of linear systems. The topics covered include: (1) definitions of signals, generalised functions, definition of linear, time-invariant systems, the convolution theorem, impulse responses, step responses. (2) Continuous time convolution, LTI systems as ODEs, solving ODEs to obtain the impulse response and system response to an input signal, the zero-state and zero-input responses, bounded-input bounded-output stability conditions. (3) Discrete time convolution, LTI systems as difference equations, solving difference equations to obtain the impulse response and system response to an input signal, bounded-input bounded-output stability conditions. (4) Discrete state space analysis, obtaining state variables and state equations, closed-form state space analysis of system outputs to discrete input signals, eigenvalue analysis for BIBO stability conditions. (5) Transform theory, including the continuous and discrete Fourier Transform, the Laplace Transform and the z-transform, the inverse Fourier Transform, partial fraction expansion for the Laplace and z-transform inverses, the Nyquist Sampling Theorem. (6) Filter design, ideal filter design, causality and discrete considerations for ideal filters, Butterworth filters, Chebyshev Type 1 and 2 filters, discrete realisation of analogue filters, the bilinear transform and frequency pre-warping. (7) Frequency domain BIBO stability, transfer function poles and zeros, Magnitude and Phase Bode plots. (8) Introduction to Stochastic Processes, time and ensemble domain average, autocorrelation and cross-correlation functions, the ergodic theorem, wide-sense stationary processes. (9) Application of stochastic signals to linear systems, Parseval’s Theorem, Power Spectral Density, output statistics of linear systems with WSS input signals.
Summary
Unit name | Signals and Linear Systems |
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Unit code | ENG204 |
Credit points | 12.5 |
College/School | College of Sciences and Engineering School of Engineering |
Discipline | Engineering |
Coordinator | Doctor Brian Salmon |
Available as an elective? | Yes |
Delivered By | University of Tasmania |
Availability
Location | Study period | Attendance options | Available to | ||
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Hobart | Semester 2 | On-Campus | International | Domestic |
Key
- On-campus
- Off-Campus
- International students
- Domestic students
Note
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Key Dates
Study Period | Start date | Census date | WW date | End date |
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Semester 2 | 22/7/2024 | 16/8/2024 | 9/9/2024 | 27/10/2024 |
* The Final WW Date is the final date from which you can withdraw from the unit without academic penalty, however you will still incur a financial liability (refer to How do I withdraw from a unit? for more information).
Unit census dates currently displaying for 2024 are indicative and subject to change. Finalised census dates for 2024 will be available from the 1st October 2023. Note census date cutoff is 11.59pm AEST (AEDT during October to March).
Learning Outcomes
- Derive and transform the impulse response of linear, time-invariant systems.
- Apply the convolution theorem to linear, time-invariant systems.
- Design signal processing systems and network filter responses.
- Determine the stability and frequency response of linear signals and systems.
- Apply principles of stochastic signal analysis to model randomness in signals and their effect on linear systems.
Fee Information
Field of Education | Commencing Student Contribution 1,3 | Grandfathered Student Contribution 1,3 | Approved Pathway Course Student Contribution 2,3 | Domestic Full Fee 4 |
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039999 | $1,118.00 | $1,118.00 | not applicable | $3,085.00 |
1 Please refer to more information on student contribution amounts.
2 Please refer to more information on eligibility and Approved Pathway courses.
3 Please refer to more information on eligibility for HECS-HELP.
4 Please refer to more information on eligibility for FEE-HELP.
If you have any questions in relation to the fees, please contact UConnect or more information is available on StudyAssist.
Please note: international students should refer to What is an indicative Fee? to get an indicative course cost.
Requisites
Prerequisites
(KME271 or KMA252) AND KME272Teaching
Teaching Pattern | 2x 2-hour Workshops per week 3x 2-hour practical session per semester |
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Assessment | Group project 1 (10%)|Semester test 1 (15%)|Semester test 2 (15%)|Group project 2 (20%)|Final Exam (40%) |
Timetable | View the lecture timetable | View the full unit timetable |
Textbooks
Required |
Required readings will be listed in the unit outline prior to the start of classes. |
Links | Booktopia textbook finder |
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The University reserves the right to amend or remove courses and unit availabilities, as appropriate.