Engineering and design

Digital Signal Processing

Module code: H6100
Level 6
15 credits in spring teaching
Teaching method: Lecture, Laboratory
Assessment modes: Unseen examination, Coursework

The module covers DSP topics, including digital signals and sampling requirements, dasic types of digital signals and quantisation error.

It is followed by the topics:

  • time-domain analysis – linear-time-invariant system, Block Diagram for LTI systems, impulse response, convolution sum, difference equations.
  • frequency-domain analysis – the discrete Fourier Series, Fourier transform of aperiodic digital sequences, frequency responses.


The z transform topic includes:

  • z-transform and inverse z-transform
  • z-transform properties
  • z-plane pole-zero representations
  • stability of a system
  • evaluation of the Fourier Transform in Z-Plane
  • characteristics of 1st and 2nd order systems. 


For Filter design topic, it includes:

  • non-recursive (FIR) filters
  • Fourier technique of designing non-recursive filters
  • truncation and windowing
  • recursive (IIR) filter design
  • bilinear transformation methods.


You will also cover Discrete Fourier transform (DFT) and its relation to CFT, Fast Fourier transform (FFT), Basic Spectral Analysis, Spectra of Harmonics, Spectral leakage, Windowing, and Effects of Windows and an introduction to random digital signals.

Pre-requisite

Systems Analysis and Control

Module learning outcomes

  • Represent basic digital signals, sampling requirement and relationships between the input and output for linear digital systems in time, frequency and z-domains
  • Know how to design non-recursive and recursive filters
  • Understand discrete Fourier transform algorithm and to use for analysing signals
  • Use software tool to process digital signals and analyse digital systems