# Module Directory

## CE223-5-PT-CA:Signal Processing

The details
2019/20
Computer Science and Electronic Engineering (School of)
Colchester Campus & Apprenticeship Location
Spring Special
Current
Monday 13 January 2020
Friday 26 June 2020
15
08 April 2020

Requisites for this module
(none)
CE262
(none)
(none)

(none)

## Key module for

BENGH610DA Electronic Engineering

## Module description

This module provides basic understanding of the analysis of linear systems and introduction to filter design techniques for analogue signal processing. The Laplace transform and its application in circuit and system theory are introduced, together with the concepts of system transfer function and impulse response, and techniques for deriving the transfer function of a circuit.

The steady-state response of systems to sinusoidal inputs is presented.
Bode plotting techniques are covered, and the effects of feedback are investigated, and techniques for ensuring stability are discussed.

Butterworth and Chebyshev filter approximations are introduced. After covering the concepts of frequency and impedance transformations, selected standard analysis and design techniques applied to low-pass, high-pass, band-pass and band-stop filters of both passive and active types are examined.

## Module aims

No information available.

## Module learning outcomes

On completion, students will be expected to be able to:

1. Demonstrate an understanding of time-domain differential equations relating to circuits, and their Laplace transforms
2. Conduct basic analysis of circuits in the Laplace and frequency domains
3. Make a Bode approximation to the steady state response of a circuit and assess the stability of a closed loop system
4. Apply Butterworth and Chebyshev approximations to ideal filter characteristics
5. Perform frequency and impedance transformation to derive circuits of low- pass, band-pass and high-pass filters
6. Realise simple passive and active filters

## Module information

Outline Syllabus

The Laplace Transform
The differential equations arising from simple electric circuits. The Laplace transform of impulse, step and decaying exponential waveforms. Laplace impedances of the basic circuit elements. Circuit analysis via Laplace impedances.

Poles and Zeros, Partial Fractions
Poles and zeros of transfer functions. Inverse Laplace transforms for first- and second-order systems. Use of partial fractions for higher order systems.

Frequency Response
Steady-state response to sinusoidal inputs. Magnitude, phase and group delay. Bode straight line gain approximation. From magnitude response to poles and zeros.

Feedback, Gain and Phase Margins
Open- and closed-loop systems. The sensitivity of a closed-loop system to disturbances. The s-plane and stability. Gain and phase margins.

Filter Approximations
One port, two port and n-port networks. Basic properties of realisable transfer functions. Constructing transfer function from amplitude response. Minimum phase filter. Common (e.g. Butterworth and Chebyshev) filter approximations. Transfer function of basic low-pass passive filters.

Transformations in Filter Design
Frequency transformation: transformation from low-pass response to high-pass, band-pass, band stop responses. Impedance scaling: real and complex scaling

Passive Filter Analysis and Design
Lossless ladder networks and their properties. Design of passive filters from tables of element values.

Active Filter Analysis and Design
Introduction to active filters. Cascade and direct methods. Second-order active blocks (e.g. Sallen & Key). Cascade against direct method in active filter design.

## Learning and teaching methods

Lectures, lab groups and classes

## Bibliography

This module does not appear to have any essential texts. To see non-essential items, please refer to the module's reading list.

## Assessment items, weightings and deadlines

Coursework / exam Description Deadline Weighting
Coursework   Progress Test - wk 24    50%
Coursework   Lab Report  20/03/2020  50%
Exam  180 minutes during Summer (Main Period) (Main)

Coursework Exam
30% 70%

### Reassessment

Coursework Exam
30% 70%
Module supervisor and teaching staff
Dr Eirina Bourtsoulatze, email: e.bourtsoulatze@essex.ac.uk.
Dr Eirina Bourtsoulatze
CSEE School Office, email: csee-schooloffice (non-Essex users should add @essex.ac.uk to create full e-mail address), Telephone 01206 872770

Availability
No
No
No

## External examiner

No external examiner information available for this module.
Resources
Available via Moodle
Of 75 hours, 26 (34.7%) hours available to students:
49 hours not recorded due to service coverage or fault;
0 hours not recorded due to opt-out by lecturer(s).

Further information

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