Unit information: Digital Filters and Spectral Analysis 3 in 2013/14

Unit name	Digital Filters and Spectral Analysis 3
Unit code	EENG31400
Credit points	10
Level of study	H/6
Teaching block(s)	Teaching Block 1 (weeks 1 - 12)
Unit director	Dr. Agrafiotis
Open unit status	Not open
Pre-requisites	EENG21000, EMAT20200
Co-requisites	None
School/department	School of Electrical, Electronic and Mechanical Engineering
Faculty	Faculty of Engineering

Description including Unit Aims

This course builds on EENG 21000 Signals and Systems to provide 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.

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.

Coursework

To complement 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 3 MATLAB assignments with electronic submission of results. An extra optional MATLAB assignment is available on the use of phase correlation for watermark detection.

Intended Learning Outcomes

Having completed the Logic Design element, students will be able to:

• describe the binary representation of both numerical and non-numerical information;

• create minimal SOP and POS expressions and NAND-/NOR-only implementations for simple combinatorial problems, using Karnaugh maps and Boolean Algebra, starting from plain language or truth table definitions;

• describe the external operation of D, and SR flip-flops, and the internal construction of the asynchronous SR flip-flop;

• create state machine diagrams and minimal implementations for Moore and Mealy machines using random or programmable logic and D-type flip-flops;

• describe the internal and external operation of standard elements such as adders, decoders, multiplexers, and demultiplexers;

• apply positive and negative logic representations;

• interpret simple VHDL descriptions including entity and architecture declarations.

Having completed the Digital Electronics element, will be able to:

• recall which active devices are used to make logic circuits;

• describe how the diode, FET, and BJT work and are characterised;

• apply graphical methods to analyse diode and transistor circuits;

• model a diode, FET and BJT for logic operation;

• design simple switching circuits using diodes and BJTs;

• apply these models to analyse complex logic circuits; and

• review the operation and performance of some standard logic families.

Having completed the Computer Architecture element, students will be able to:

• describe the internal and external operation of a simple CPU at the fetch/execute level;

• apply a typical range of addressing modes and conditional/unconditional control instructions;

• explain the role of the stack in subroutine calls, and its use for saving of variables;

• create and debug simple assembly-language programs, including translation from pseudo-code /flowcharts;

• describe (in simple terms) the operation of an interrupt mechanism.

• describe the principles of high-level language, compilation and linking.

Teaching Information

Lectures and Matlab exercises

Assessment Information

Name: In-lecture quizzes

Type: e-voting

% of final mark: 5

Description: Tests to measure progress

Name: Multiple-choice test (LD)

Type: Test

% of final mark: 7.5

Description: On Logic Design lab - also includes component based on attendance. Includes penalties to discourage guessing.

Name: Multiple-choice test (Micro)

Type: Test

% of final mark: 8

Description: On Microprocessor lab - also includes component based on attendance. Includes penalties to discourage guessing.

Name: Progress Test

Type: Test

% of final mark: 2.5

Description: Test to measure progress on Digital Electronics.

Name: Terminal Exam

Type: Exam

% of final mark: 77

Description: 3 hour written paper - Logic Design (50%), Computer Architecture (25%), Digital Electronics (25%) with flat structure within each section. Tests suitability for progression to following year. Emphasis is on capability of undertaking simple analysis and design as defined in the learning outcomes.

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)