Unit information: Digital Filters and Spectral Analysis (M) in 2013/14

Unit name	Digital Filters and Spectral Analysis (M)
Unit code	EENGM1400
Credit points	10
Level of study	M/7
Teaching block(s)	Teaching Block 1 (weeks 1 - 12)
Unit director	Dr. Agrafiotis
Open unit status	Not open
Pre-requisites	None
Co-requisites	None
School/department	School of Electrical, Electronic and Mechanical Engineering
Faculty	Faculty of Science and Engineering

Description including Unit Aims

This course provides students with an understanding of the theory, interpretation, design and application of DSP techniques. In particular the course covers the theory and practice of digital filters and Fourier transform based spectrum analysis. Spectral descriptions of continuous-time and discrete-time waveforms are reviewed and related, and the FFT algorithm is used as a spectral analysis tool. The behaviour of digital filters is analysed through the use of difference equations and transfer functions via the z-transform. Methods for designing IIR and FIR filters are described, and various issues associated with their practical implementation are discussed.

To compliment and aid understanding of the lecture material, students will be required to use Matlab to complete a series of coursework activities. These will provide practical experience of spectral analysis, digital filtering and digital filter design. The coursework will be assessed by means of four Matlab assignments with electronic submission of results.

Elements:

• Spectral Analysis Continuous time Fourier series (FS), continuous time Fourier transform (FT), sampling and aliasing, discrete time Fourier transform (DTFT), discrete Fourier transform (DFT), spectral smearing, windowing, time frequency trade-offs, implementation of DFT, fast Fourier transform (FFT), applications of FFT.
• Digital Filter Design and Implementation Finite impulse response (FIR) and infinite impulse response (IIR) digital filters. Design of FIR filters, linear phase response, zero-placement, design using windowing, design using frequency sampling, optimal design methods, variable transforms. Design of IIR filters, pole-zero placement, impulse invariance, bilinear transform. Implementation of digital filters, direct form, cascade and parallel forms, lattice form, finite word-length effects, limit-cycle oscillations in recursive filters, joint complexity/performance design. Introduction to multi-dimensional and multi-rate signal processing.

Intended Learning Outcomes

Having completed this unit students will have:-

• The ability to analyse and design FIR and IIR digital filters and have an appreciation of the influence of finite precision arithmetic in their implementation.
• The ability to apply DFT and FFT based spectrum analysis methods, interpret the resulting spectra and appreciate the limitations of these approaches.
• Gained practical experience with simulation tools such as MATLAB.

Teaching Information

A combination of lectures and seminars

Assessment Information

1. Spectral analysis of audio signal - 5%
2. Digital filter deign - 5%
3. Digital filtering of audio signal - 5%
4. Phase correlation for watermark detection - 5%
5. 2 hour Terminal exam - 80%

Reading and References

Chen, C.-T., Digital Signal Processing. Spectral Computation and Filter Design, Oxford University Press, 2001, ISBN 019-513 638-1

Ifeachor, E.C. and B.W. Jervis, Digital Signal Processing: A Practical Approach, Addison Wesley, 1993, ISBN 0 2015 4412X (TK 5102.5 IFE)

Lynn, P. and W. Fuerst, Introductory Digital Signal Processing, J. Wiley, revised 2nd edition, 1994, ISBN 0 4719 1564 4 (TK 5102.5 LYN).

Proakis, J.G. and D.G. Manolakis, Digital Signal Processing, 2nd edition, Macmillan, 1992 (TK 5102 5 PRO) (a revised edition of Introduction to Digital Signal Processing, ISBN 0 0239 6815)