Signals and Analysis

Learning Outcomes

Subject Specific Practical Skills

Having successfully completed this module you will be able to:

• Implement signal processing using digital filters
• Implement image compression

Knowledge and Understanding

Having successfully completed this module, you will be able to demonstrate knowledge and understanding of:

• Understand the use of information theory in signal compression
• Explain the different approaches to filter signal data
• Identify the advantages and problems arising from processing signals in quantised time and space
• Analyse linear systems using time and frequency domain methods

Subject Specific Intellectual and Research Skills

Having successfully completed this module you will be able to:

• Use Fourier analysis to design a filter
• Classify real-world data into different types of signals

Transferable and Generic Skills

Having successfully completed this module you will be able to:

• Identify real-world applications of optimal filters

Signals theory:

• Classification of signals
• Mathematical systems
• Linear systems
• Classical filters (intro)
• Fourier transform

Digital signals:

• Sampling (Nyquist) and ADCs.
• Signal encoding
• Discrete Fourier methods

Analysis:

• Window functions
• Optimal filtering, Kalman, Weiner and particle
• Noise cancellation
• Filters on data with varying spatio-temporal resolutions (IoT sensors, acoustic, imaging)
• Heisenberg uncertainty principle

Information theory and coding:

• Uncertainty and information
• Entropy and measure of information
• Kolmogorov complexity and minimal description length
• Data compression

Teaching and learning methods

• Lectures
• Guided self-study
• Labs which will cover practical aspects of the module

Summative

This is how we’ll formally assess what you have learned in this module.

Referral

This is how we’ll assess you if you don’t meet the criteria to pass this module.

Repeat

An internal repeat is where you take all of your modules again, including any you passed. An external repeat is where you only re-take the modules you failed.