BI2SP22-Biomedical signal processing and feedback systems

Module Provider: School of Biological Sciences
Number of credits: 20 [10 ECTS credits]
Level:5
Terms in which taught: Autumn term module
Pre-requisites: BI1MA17 Mathematics
Non-modular pre-requisites:
Co-requisites:
Modules excluded:
Current from: 2022/3

Module Convenor: Prof Ying Zheng
Email: ying.zheng@reading.ac.uk

Module Co-convenor: Dr Sillas Hadjiloucas
Email: s.hadjiloucas@reading.ac.uk

Type of module:

Summary module description:

This module will introduce students to the fundamentals of processing biomedical signals, including analysing signals in the frequency domain and signal de-noising using filters. It will also familiarise students with feedback systems which are essential for almost all body functions and processes. The importance of system stability will be discussed, together with analysis methodologies used for stability analysis. 

Aims:

This module aims to introduce how Fourier and Laplace transform techniques can be used to describe and analyse signals, and how these techniques can also be used to describe systems as transfer functions and analyse systems in the frequency domain. Students will be introduced to the concept of feedback in artificial and biological systems.

Assessable learning outcomes:

By the end of the module students will be expected to:

• apply fundamental concepts to describe and analyse signals in both the time and frequency domains


• solve biomedical engineering signal processing problems using Laplace transforms and Fourier theory


• use design tools to design filters and systems with similar responses in the time or frequency domain


• understand the dynamic characteristics of linear first and second order systems


• establish mathematical models of simple electrical circuits


• derive transfer functions of feedback systems from block diagram representations


• understand and design PID controllers


• sketch frequency responses of linear systems in Bode plots

Additional outcomes:

Students will be familiar with tools for analysis such as Matlab. Students will also appreciate the breadth of the subject of signal processing and that of feedback systems and see that techniques described in one application can often be used in others.

Outline content:

Laplace transforms, inverse Laplace transforms and their application to the solution of differential equations. Linear systems, random noise and its properties. Autocorrelation, correlation, convolution and their properties. Fourier series, application to simple waveforms, complex form and applications. Convolution Theorem. Theory and properties of Fourier Transforms, and their applications including autocorrelation, power spectrum, convolution, frequency domain, sampling theory and Nyquist theorem Application of differential equations to problems in Biology. 

Block diagrams. Modelling of simple Resistor-Capacitor-Inductor circuits. First order and second order systems. Time constant, damping ratio and natural frequency. PID controllers. Stability of feedback systems. State-space representation. Bode diagrams. Simple models of neurons. 

 

Brief description of teaching and learning methods:

The module comprises 2 lectures per week, associated laboratory practicals, and some revision tutorials. Laboratory practicals are used to reinforce the relevant lectures.

Contact hours:

	Autumn	Spring	Summer
Lectures	30
Tutorials	10
Practicals classes and workshops	4
Guided independent study:
Wider reading (independent)	140
Exam revision/preparation	10
Preparation of practical report	6
Total hours by term	200	0	0
Total hours for module	200

Summative Assessment Methods:

Method	Percentage
Written exam	70
Written assignment including essay	30

Summative assessment- Examinations:

3-hour exam. Answer five questions out of six.

Summative assessment- Coursework and in-class tests:

1 assignment: 15%.

1 lab report: 15%

 

Formative assessment methods:

Students will be encouraged to complete examples sheets that highlight aspects of the course. These will be discussed during lectures and practical classes. 

Penalties for late submission:

The Support Centres will apply the following penalties for work submitted late:

• where the piece of work is submitted after the original deadline (or any formally agreed extension to the deadline): 10% of the total marks available for that piece of work will be deducted from the mark for each working day (or part thereof) following the deadline up to a total of five working days;
• where the piece of work is submitted more than five working days after the original deadline (or any formally agreed extension to the deadline): a mark of zero will be recorded.

The University policy statement on penalties for late submission can be found at: https://www.reading.ac.uk/cqsd/-/media/project/functions/cqsd/documents/cqsd-old-site-documents/penaltiesforlatesubmission.pdf
You are strongly advised to ensure that coursework is submitted by the relevant deadline. You should note that it is advisable to submit work in an unfinished state rather than to fail to submit any work.

Assessment requirements for a pass:

40%

Reassessment arrangements:

Examination

Additional Costs (specified where applicable):

1) Required text books: 

2) Specialist equipment or materials: 

3) Specialist clothing, footwear or headgear: 

4) Printing and binding: 

5) Computers and devices with a particular specification: 

6) Travel, accommodation and subsistence: 

Last updated: 22 September 2022