# Study-Unit Description

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CODE CCE5207

TITLE Digital Signal Processing and Filters

LEVEL 05 - Postgraduate Modular Diploma or Degree Course

ECTS CREDITS 10

DEPARTMENT Communications and Computer Engineering

DESCRIPTION This unit is about discrete-time signals and systems. The unit also introduces the impulse response of a system and the convolution sum. Signals and their representations in time and frequency are analysed. System characteristics in time and frequency are studied as well. This theory will be applied to design a digital filter and for time series analysis.

The unit also contains a significant practical component where the student will use the different analysis and design techniques described in class on real world signals including audio, images, videos and others. There is also an assignment where the student has to design and implement a digital system.

Study-unit Content:

The topics covered in this study-unit include the following:
- The impulse response of systems, the convolution sum;
- Fourier Transform and the sampling theory; the z-transform, poles and zeros in the z plane; characteristics of systems, stability, causality; the discrete Fourier transform (DFT) for the analysis of signals and systems; the DFT as a tool for design and implementation of systems;
- Design and Implementation of Filters;
- Time Series and Linear Predictions.

Study-Unit Aims:

The aim of this unit is to give the students a solid theoretical understanding of digital signals and systems, as well as skills to analyse, design and implement digital systems.

Learning Outcomes:

1. Knowledge & Understanding:

By the end of the study-unit the student will be able to:
- analyse discrete-time signals in time and frequency;
- analyse discrete-time linear time-invariant systems in time and frequency;
- analyse signals and systems using mathematical techniques;
- analyse signals and systems using software tools.

2. Skills:

By the end of the study-unit the student will be able to:
- design digital signal processing systems and filters using mathematical techniques;
- implement digital signal processing systems.

Main Text/s and any supplementary readings:

Main Texts:

- J. G. Proakis and D. K. Manolakis, Digital Signal Processing (fourth edition), Prentice Hall, 2006. ISBN 978-0131873742.

STUDY-UNIT TYPE Lecture, Independent Study, Practicum & Tutorial

METHOD OF ASSESSMENT
 Assessment Component/s Assessment Due Resit Availability Weighting Practical SEM1 Yes 20% Assignment SEM1 Yes 20% Take Home Examination (2 Hours) SEM1 Yes 60%

LECTURER/S Trevor Spiteri

The University makes every effort to ensure that the published Courses Plans, Programmes of Study and Study-Unit information are complete and up-to-date at the time of publication. The University reserves the right to make changes in case errors are detected after publication.
The availability of optional units may be subject to timetabling constraints.
Units not attracting a sufficient number of registrations may be withdrawn without notice.
It should be noted that all the information in the description above applies to study-units available during the academic year 2020/1. It may be subject to change in subsequent years.

https://www.um.edu.mt/course/studyunit