## BI2SP16-Signal Processing

Module Provider: School of Biological Sciences
Number of credits: 20 [10 ECTS credits]
Level:5
Terms in which taught: Autumn / Spring term module
Pre-requisites: SE1MA15 Mathematics
Non-modular pre-requisites:
Co-requisites:
Modules excluded:
Module version for: 2016/7

Module Convenor: Dr Sillas Hadjiloucas

Summary module description:

Aims:
This module aims to show how information theory concepts can be applied to noisy channels, continuous sources and communications systems, and to introduce how Fourier and Laplace transform techniques can be used to describe and analyse signals. This module also introduces the topic of Digital Signal Processing (DSP).

Assessable learning outcomes:
An ability to quantify information transfer in noisy channels, continuous sources and communications systems. An ability to explain, apply and design coding techniques to minimise errors. An ability to apply fundamental concepts to describe and analyse signals.
An understanding of the key advantages and disadvantages of processing in the digital domain as compared to the continuous analogue domain. To be able to describe the structure of a classical DSP system and the application of DSP. To be able manipulate difference equations and Z-transforms of systems in order to find the impulse and frequency response of systems. To be able to use design tools to design filters and similar systems.

Design and analysis of information coding systems; signal analysis.

Outline content:
Revision of Information Theory basics. Coding in noisy channels, Shannon's second theorem, coding methods. Information in continuous sources, ideal communication theorem, implications and applications. Gaussian distribution and application to error rates in noise. Random noise and its properties. More advanced time averages; autocorrelation, correlation, convolution and their properties. Fourier series, application to simple waveforms, complex form and applications; deductions and implications. Convolution Theorem. Theory and properties of Fourier Transforms, and their applications including autocorrelation, power spectrum, convolution and linear systems, and sampling theory. Laplace transforms, applications for signal processing, final and initial value theorems, solving differential equations.
Analogue, Discrete and Digital representations of signals. Digital functions (Dirac Delta, Kronecker Delta, Unit Step). Time shifting properties and review of convolution. Spectrum of Impulse functions. Review of sampling theory, the Nyquist criterion, aliasing and anti-Aliasing. Zero order sample and hold. Conversion from discrete to digital, overview of ADC and DAC. Digitization error and noise power. Signal recovery. Generalized DSP systems. Discrete impulse response. Stability and causality.
Characterization and DSP tools: Difference Equations (for FIR, IIR), The Z transform, Properties of the Z transform, Relationship of Z transform with the Laplace transform, Z transform of the Zero Order Hold (ZOH), System function, H(z), Magnitude and Phase response. Z plane, Frequency units used in DT systems, Z transform to Difference equations, Inverse Z - Power series method, Impulse response example, Designing filter systems, Discrete Fourier transform (DFT), Brief overview of Current DSP Processors

Brief description of teaching and learning methods:
Lectures supported by laboratory work.

Contact hours:
 Autumn Spring Summer Lectures 20 20 Practicals classes and workshops 12 12 Guided independent study 68 68 Total hours by term 100.00 100.00 Total hours for module 200.00

Summative Assessment Methods:
 Method Percentage Written exam 50 Set exercise 50

Other information on summative assessment:

Formative assessment methods:

Penalties for late submission:
The Module Convenor will apply the following penalties for work submitted late, in accordance with the University policy.

• where the piece of work is submitted up to one calendar week after the original deadline (or any formally agreed extension to the deadline): 10% of the total marks available for the 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: http://www.reading.ac.uk/web/FILES/qualitysupport/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.

Length of examination:
One 2-hour examination paper in May/June.

Requirements for a pass:
40%

Reassessment arrangements:
Examination only.
One 2-hour examination paper in August/September.

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: 3 February 2017