Durham University
Programme and Module Handbook

Postgraduate Programme and Module Handbook 2007-2008 (archived)

Module ENGI42215: Digital Signal Processing

Department: Engineering

ENGI42215: Digital Signal Processing

Type Tied Level 4 Credits 15 Availability Available in 2007/08
Tied to H1K709


  • Communicational Fundamentals (ENGI30215) or equivalent


  • Radio and Digital Communications (ENGI41915); Communications Networks (ENGI42015); Engineering Design (ENGI41030); Research and Development Project (ENGI41060)

Excluded Combination of Modules

  • None


  • The course aims to develop computational methods for digital signal processing.


  • Analysis of Discrete - Time Signals and Systems: Discrete-time signals; poles and zeros; transfer functions; z-transforms; unit circle; stability; inverse z-transform; steady-state frequency response.
  • Synthesis of Discrete -Time Systems: Direct form of realisation; cascade and parallel forms.
  • Digital Filter Design: FIR and IIR design techniques; FFT and digital filter design technique; comparisons.
  • Discrete Fourier Transform: Theoretical development; discrete inverse Fourier transform; DFT and z-transform; DFT and digital filtering.
  • Fast Fourier Transform: Theoretical development; matrix formulation; signal flow graph; radix-2; DIT and DIF butterfly representations; windowing techniques.
  • Introduction to other Transforms: Hilbert transform; Walsh transform, FFT Signal Processing Applications: Spectral analysis; fast convolution; fast correlation; deconvolution; FFT signal detection.
  • Quantisation Effects in Digital Signal Processing: Fixed and floating point representation; rounding and truncation errors; quantisation of filter coefficients; quantisation effects in the computation of DFT.
  • Hardware Implementation of Digital Systems: Case Studies.
  • State Variable Representation of Digital Systems: Discrete state equations; transfer matrix of discreet systems.

Learning Outcomes

Subject-specific Knowledge:
  • Design of FIR and IIR filters.
  • Design of spectral extraction algorithms.
  • Understanding of image processing and suitable.
  • 2D and 3D transforms.
Subject-specific Skills:
Key Skills:

Modes of Teaching, Learning and Assessment and how these contribute to the learning outcomes of the module

  • Teaching by lectures and tutorials which are supported by a laboratory programme outside this module.
  • Written examinations are appropriate because of the wide range of in-depth, analytical material that is covered.
  • Theoretical coursework contributes a formative element to the module and aids the acquisition of subject-specific and key skills.

Teaching Methods and Learning Hours

Activity Number Frequency Duration Total/Hours
Lectures 20 1 per week 1 hour 20
Tutorials 20 1 per week 1 hour 20
Preparation and Reading 101
Total 150

Summative Assessment

Component: Examination Component Weighting: 80%
Element Length / duration Element Weighting Resit Opportunity
Examination 2 hour written examination in may/june 2 hours 100%
Component: Assignment Component Weighting: 20%
Element Length / duration Element Weighting Resit Opportunity
Coursework 100%

Formative Assessment:

One piece of coursework, which will be assessed but not included in the final average.

Attendance at all activities marked with this symbol will be monitored. Students who fail to attend these activities, or to complete the summative or formative assessment specified above, will be subject to the procedures defined in the University's General Regulation V, and may be required to leave the University