Digital Signal Processing

Learning Outcomes

Knowledge and Understanding

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

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

Subject Specific Practical Skills

Having successfully completed this module you will be able to:

• Implement signal processing using digital filters
• Implement image compression

Subject Specific Intellectual and Research Skills

Having successfully completed this module you will be able to:

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

Transferable and Generic Skills

Having successfully completed this module you will be able to:

• Identify real-world applications of optimal filters

Mathematical Tools for Signal Processing:

• Analogue to Digital — Nyquist sampling, aliasing
• Fourier analysis, Z-transform
• Correlation, covariance, convolution
• Linear time invariance, impulse response, transfer functions
• Eigendecomposition

Spectral analysis of signals:

• Stationary / non-stationary signals examples (e.g., finance / audio)
• FIR, IIR filters (e.g., speech, image examples)
• Finite precision and stability issues

Time series and parametric spectral analysis:

• ARMA models
• All-pole / pole-zero interpretation
• Durbin recursion; reflection coefficients

Communicating signals:

• Modulation and demodulation (e.g., AM radio)
• Brief introduction to information theory (e.g., compression, uncertainty, entropy)

Sequential processing of signals:

• Adaptive filters: LMS/RLS (e.g., beamforming / adaptive noise cancelling example)

• 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.