Module: Digital Signal Processing

Module Specifications.

Current Academic Year 2024 - 2025

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Date posted: September 2024

Module Title	Digital Signal Processing
Module Code	PS403 (ITS) / PHY1057 (Banner)
Faculty	Science & Health	School	Physical Sciences
Module Co-ordinator	John Costello
Module Teachers	-
NFQ level	8	Credit Rating	5
Pre-requisite	Not Available
Co-requisite	Not Available
Compatibles	Not Available
Incompatibles	Not Available

Repeat examination
Array

Description

The overarching objective of the module is to develop in the participants practical time-invariant digital signal system design skills. The module focusses on prototypical linear time invariant systems and aims to be the stepping off point for more advanced modules in adaptive, non-linear and time varying systems.

Learning Outcomes

1. Describe the fundamental properties of linear time invariant systems
2. State, prove and apply Shannon's sampling theorem
3. Relate signal to noise ratio (SNR) to number of samples averaged in signal sampling and averaging systems
4. Compute the impulse response of DSP systems and combine it with convolution techniques to compute DSP system response for any arbitrary input (and vice versa).
5. Write down, state the properties of, and apply Fourier Transforms and Z-Transforms in DSP systems
6. Design, obtain the properties of and code basic window (or apodization) functions
7. Design basic finite impulse response (FIR) and infinite impulse response (IIR) filters

*Type*	*Hours*	*Description*
Workload	Full-time hours per semester
Lecture	24	3 lectures per week (averaged over semester)
Tutorial	6	6 hours equivalent (tutorial/in-lecture) problem solving, in-class tests
Independent Study	95	Studying and learning lecture material, solving tutorial problems, background reading, revision, following up recommended WWW links
Total Workload: 125

All module information is indicative and subject to change. For further information,students are advised to refer to the University's Marks and Standards and Programme Specific Regulations at: http://www.dcu.ie/registry/examinations/index.shtml

Indicative Content and Learning Activities

Indicative Syllabus
1. Signal Sampling: Shannon's theorem, Nyquist concepts, etc., 2. Noise: Sources and Statistics, 3. Linear DSP systems:Scope, definitions and concepts, 4. Analysing DSP system in the time domain: responses, etc., 5. Analysing DSP system in the frequency domain:Discrete Fourier Series (DFS) and Discrete Fourier Transform (DFT), 6. The Z-transform and its applications in DSP, 7. Non-recursive (Finite Impulse Response) and recursive (Infinite Impulse Responses) filter design, 8. The Fast Fourier Transform (FFT) and its applications in DSP.

1. Signal Sampling
Shannon's theorem, Nyquist concepts, etc.,

2. Noise
Sources and statistics of noise

3. Linear systems
Linear DSP systems: Scope, definitions and concepts,

4. Time domain
Analysing DSP system in the time domain: responses, etc.,

5. Frequency domain
Analysing DSP system in the frequency domain:Discrete Fourier Series (DFS) and Discrete Fourier Transform (DFT),

6. Z-transform
The Z-transform and its applications in DSP,

7. Filter design
Non-recursive (Finite Impulse Response) and recursive (Infinite Impulse Responses) filter design,

8. FFT
The Fast Fourier Transform (FFT) and its applications in DSP.

Assessment Breakdown
Continuous Assessment	20%	Examination Weight	80%

Type	Description	% of total	Assessment Date
Course Work Breakdown
In Class Test	2 x Tests focused on numerical problem solving	20%	Week 6

Reassessment Requirement Type
Resit arrangements are explained by the following categories: Resit category 1: A resit is available for both* components of the module. Resit category 2: No resit is available for a 100% continuous assessment module. Resit category 3: No resit is available for the continuous assessment component where there is a continuous assessment and examination element.
* ‘Both’ is used in the context of the module having a Continuous Assessment/Examination split; where the module is 100% continuous assessment, there will also be a resit of the assessment
This module is category 3

Indicative Reading List

P A Lynn and W Fuerst: 1994, Introductory Signal Processing with Computer Applications, 2nd, Wiley,
L. C. Ludeman: 1987, Fundamentals of DSP, Wiley,

Other Resources

None