Teaching Responsibility
LJMU Schools involved in Delivery:
LJMU Partner Taught
Learning Methods
Lecture
Practical
Module Offerings
6572USST-SEP-PAR
Aims
This module is intended to provide students with a good appreciation of the mathematical concepts necessary to apply digital signal and image processing algorithms to a range of engineering problems.
Learning Outcomes
1.
Characterise analogue and digital systems using appropriate transforms, impulse response and convolution
2.
Design and implement digital filters
3.
Process and compress images using appropriate techniques
4.
Apply DSP to a range of applications
Module Content
Outline Syllabus:
Signals and Systems - Foundations, Architecture Requirements and Characteristics
Use of MATLAB
Fundamentals – Linear Systems, Convolution and Properties of Convolution
Transforms – Fourier: CTFT, DTFT, DFT, FFT; Laplace and Z-transforms
Digital Filters - Basic Concepts
Finite Impulse Response filters (FIR) - Design, Fourier Series Approximation
Analogue Prototypes - Butterworth, Chebyshev, Elliptic; Analogue-To-Analogue Transforms
Infinite Impulse Response filters (IIR) - Design, Bilinear, Impulse Invariant
Transforms
Digital Filters - Implementation, Algorithms & Finite Word Effects
ADCs & DACs - Sample and Hold, Antialiasing
Multirate Signal Processing – Interpolation and Decimation
Time Frequency Analysis – Short term Fourier series, Wavelets, Filter-Banks
2D Signal Processing – Representation of images, image compression, 2D
transforms
Signals and Systems - Foundations, Architecture Requirements and Characteristics
Use of MATLAB
Fundamentals – Linear Systems, Convolution and Properties of Convolution
Transforms – Fourier: CTFT, DTFT, DFT, FFT; Laplace and Z-transforms
Digital Filters - Basic Concepts
Finite Impulse Response filters (FIR) - Design, Fourier Series Approximation
Analogue Prototypes - Butterworth, Chebyshev, Elliptic; Analogue-To-Analogue Transforms
Infinite Impulse Response filters (IIR) - Design, Bilinear, Impulse Invariant
Transforms
Digital Filters - Implementation, Algorithms & Finite Word Effects
ADCs & DACs - Sample and Hold, Antialiasing
Multirate Signal Processing – Interpolation and Decimation
Time Frequency Analysis – Short term Fourier series, Wavelets, Filter-Banks
2D Signal Processing – Representation of images, image compression, 2D
transforms
Additional Information:
This module will provide students with a sound grasp of the theory and applications of modern signal and image processing.
UNESCO Sustainable Development Goals
Quality Education
Gender Equality
Industry, Innovation and Infrastructure
Partnerships for the Goals
UK SPEC AHEP 4
CEng.
M1 Apply a comprehensive knowledge of mathematics, statistics, natural science
and engineering principles to the solution of complex problems. Much of the
knowledge will be at the forefront of the particular subject of study and informed by a
critical awareness of new developments and the wider context of engineering.
M2 Formulate and analyse complex problems to reach substantiated conclusions.
This will involve evaluating available data using first principles of mathematics,
statistics, natural science and engineering principles, and using engineering
judgment to work with information that may be uncertain or incomplete, discussing
the limitations of the techniques employed.
M3 Select and apply appropriate computational and analytical techniques to model
complex problems, discussing the limitations of the techniques employed.
M6 Apply an integrated or systems approach to the solution of complex problems.
M12 Use practical laboratory and workshop skills to investigate complex problems.
IEng.
B1 Apply knowledge of mathematics, statistics, natural science and engineering
principles to broadly-defined problems. Some of the knowledge will be informed by
current developments in the subject of study.
B2 Analyse broadly-defined problems reaching substantiated conclusions using first
principles of mathematics, statistics, natural science and engineering principles.
B3 Select and apply appropriate computational and analytical techniques to model
broadly-defined problems, recognising the limitations of the techniques employed.
B6 Apply an integrated or systems approach to the solution of broadly-defined
problems.
B12 Use practical laboratory and workshop skills to investigate broadly-defined
problems.
This module will provide students with a sound grasp of the theory and applications of modern signal and image processing.
UNESCO Sustainable Development Goals
Quality Education
Gender Equality
Industry, Innovation and Infrastructure
Partnerships for the Goals
UK SPEC AHEP 4
CEng.
M1 Apply a comprehensive knowledge of mathematics, statistics, natural science
and engineering principles to the solution of complex problems. Much of the
knowledge will be at the forefront of the particular subject of study and informed by a
critical awareness of new developments and the wider context of engineering.
M2 Formulate and analyse complex problems to reach substantiated conclusions.
This will involve evaluating available data using first principles of mathematics,
statistics, natural science and engineering principles, and using engineering
judgment to work with information that may be uncertain or incomplete, discussing
the limitations of the techniques employed.
M3 Select and apply appropriate computational and analytical techniques to model
complex problems, discussing the limitations of the techniques employed.
M6 Apply an integrated or systems approach to the solution of complex problems.
M12 Use practical laboratory and workshop skills to investigate complex problems.
IEng.
B1 Apply knowledge of mathematics, statistics, natural science and engineering
principles to broadly-defined problems. Some of the knowledge will be informed by
current developments in the subject of study.
B2 Analyse broadly-defined problems reaching substantiated conclusions using first
principles of mathematics, statistics, natural science and engineering principles.
B3 Select and apply appropriate computational and analytical techniques to model
broadly-defined problems, recognising the limitations of the techniques employed.
B6 Apply an integrated or systems approach to the solution of broadly-defined
problems.
B12 Use practical laboratory and workshop skills to investigate broadly-defined
problems.