MATH 7019 Mathematics of Signal Processing
Credit Points 10
Legacy Code 301440
Coordinator Paul Hurley Opens in new window
Description This subject teaches students to abstract and develop algorithms, in Python, for analysing and processing deterministic and stochastic data/signals. Students are taught strategies in developing solutions that are optimal and efficient to implement. They learn how to analyse signals under the Fourier transform and under different bases, allowing for an appreciation of how lossy compression works, and how to formulate and solve some convex optimisation algorithms. This subject will be undertaken at Parramatta City - Hassall St campus.
School Computer, Data & Math Sciences
Student Contribution Band HECS Band 1 10cp
Check your fees via the Fees page.
Level Postgraduate Coursework Level 7 subject
Students must be enrolled in a postgraduate program
Students should know and understand basic linear algebra. Basic programming skills are necessary. Familiarity with Python notebooks is helpful but not mandatory.
On successful completion of this subject, students should be able to:
- Explain mathematical formulations of signal processing algorithms
- Demonstrate mastery of tools for tackling advanced signal and data processing problems
- Analyse advanced signal and data processing algorithms using numerical python programming
- Design applications as advanced signal and data processing algorithms
- Appraise applications of mathematical signal processing
1.Motivation - what is mathematics of signal processing, etc.
2.Linear algebra and Hilbert spaces
Examples ? neural networks
Basis and frames
Continuous Fourier series, Fast Fourier transforms
4.Sampling and interpolation
1D, 2D (sphere/manifold)
Finite Impulse Response (FIR) filters, Infinite Impulse Response (IIR) filters
6.Approximation and compression
7.Inverse problems and optimisation
Wiener filter, etc.
Max likelihood / EM
Sampling in time vs sampling in amplitude
Filtering in asynchronous time
10.Array signal processing
The following table summarises the standard assessment tasks for this subject. Please note this is a guide only. Assessment tasks are regularly updated, where there is a difference your Learning Guide takes precedence.
|30 minutes (per Quiz)
Parramatta City - Macquarie St
Subject Contact Paul Hurley Opens in new window