The University of Newcastle, Australia

Course handbook

Description

This course starts from the frequency dependent behaviour of alternating current circuits and filters, and shows how Fourier series and Fourier Transform can be used to analyse a circuit's response. Subsequently, differential models and linear system interpretation of linear circuits are discussed, and the first ad second order transient behaviour of circuits is analysed using Laplace transforms. Some fundamental concepts of system theory such as transfer functions, impulse response and convolution are introduced. The course also covers the basic building blocks of a digital system including sampling, frequency domain analysis and elementary filters.


Availability2019 Course Timetables

PSB Singapore

  • Trimester 3 - 2019 (Singapore)
  • Trimester 2 - 2019 (Singapore)

Callaghan

  • Semester 2 - 2019

Replacing course(s)

This course replaces the following course(s): ELEC2400. Students who have successfully completed ELEC2400 are not eligible to enrol in ELEC2430.


Learning outcomes

On successful completion of the course students will be able to:

1. Use Fourier methods to analyse circuits and signals in frequency domains

2. Analyse the physical processes governed by linear equations using basic techniques of linear system theory

3. View linear circuits as examples of linear systems

4. Apply Laplace transform techniques to compute the responses of linear circuits and systems driven by commonly encountered signals

5. Apply sampling theory to properly sample analog signals for digital processing in computers

6. Design simple digital signal processing systems


Content

  • Review of frequency dependent behaviour of AC circuits
  • Periodic, non-sinusoidal excitation in AC circuits and Fourier series
  • Non-periodic excitation and Fourier transforms
  • Fourier-based signal analysis
  • Differential equations associated with circuits
  • Representation of circuits as linear systems
  • Examples of other linear systems governed by differential equations
  • Computation of the response of linear systems via Laplace Transform techniques
  • Relationship between Laplace and Fourier transforms
  • Transfer function, impulse response, convolution, convolution theorems
  • RL, RC, LC and RLC transients in circuits
  • Effect of initial conditions due to stored electrostatic and magnetic energy
  • Sampling, Nyquist theorems
  • Frequency domain analysis of discrete-time signals and systems
  • Elementary digital filters
  • Basic building blocks for processing analog signals in digital domains

Assumed knowledge

ELEC2430Circuits and SignalsThis course starts from the frequency dependent behaviour of alternating current circuits and filters, and shows how Fourier series and Fourier Transform can be used to analyse a circuit's response. Subsequently, differential models and linear system interpretation of linear circuits are discussed, and the first ad second order transient behaviour of circuits is analysed using Laplace transforms. Some fundamental concepts of system theory such as transfer functions, impulse response and convolution are introduced. The course also covers the basic building blocks of a digital system including sampling, frequency domain analysis and elementary filters.FENBEFaculty of Engineering and Built Environment513School of Electrical Engineering and Computing1020005975Trimester 3 - 2019 (Singapore)PSBPSB Singapore20195980Semester 2 - 2019CALLAGHANCallaghan20195945Trimester 2 - 2019 (Singapore)PSBPSB Singapore2019MATH1120 Mathematics 2 Review of frequency dependent behaviour of AC circuits Periodic, non-sinusoidal excitation in AC circuits and Fourier series Non-periodic excitation and Fourier transforms Fourier-based signal analysis Differential equations associated with circuits Representation of circuits as linear systems Examples of other linear systems governed by differential equations Computation of the response of linear systems via Laplace Transform techniques Relationship between Laplace and Fourier transforms Transfer function, impulse response, convolution, convolution theorems RL, RC, LC and RLC transients in circuits Effect of initial conditions due to stored electrostatic and magnetic energy Sampling, Nyquist theorems Frequency domain analysis of discrete-time signals and systems Elementary digital filters Basic building blocks for processing analog signals in digital domains YOn successful completion of this course, students will be able to:1Use Fourier methods to analyse circuits and signals in frequency domains2Analyse the physical processes governed by linear equations using basic techniques of linear system theory3View linear circuits as examples of linear systems4Apply Laplace transform techniques to compute the responses of linear circuits and systems driven by commonly encountered signals5Apply sampling theory to properly sample analog signals for digital processing in computers6Design simple digital signal processing systemsThis course replaces the following course(s): ELEC2400. Students who have successfully completed ELEC2400 are not eligible to enrol in ELEC2430. Tutorial / Laboratory Exercises: Laboratory exercises x 4Quiz: QuizFormal Examination: Examination Callaghan and PSB SingaporeLaboratoryFace to Face On Campus2hour(s)per Week for0Full Term0LectureFace to Face On Campus3hour(s)per Week for0Full Term0TutorialFace to Face On Campus1hour(s)per Week for0Full Term0


Assessment items

Tutorial / Laboratory Exercises: Laboratory exercises x 4

Quiz: Quiz

Formal Examination: Examination


Contact hours

Callaghan and PSB Singapore

Laboratory

Face to Face On Campus 2 hour(s) per Week for Full Term

Lecture

Face to Face On Campus 3 hour(s) per Week for Full Term

Tutorial

Face to Face On Campus 1 hour(s) per Week for Full Term