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 2 - 2020 (Singapore)
  • Trimester 3 - 2020 (Singapore)

Callaghan

  • Semester 2 - 2020

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

MATH1120 Mathematics 2


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