Module Descriptors
SIGNALS AND SYSTEMS
ELEC50416
Key Facts
School of Digital, Technologies and Arts
Level 5
15 credits
Contact
Leader: Cedric Belloc
Email: Cedric.Belloc@staffs.ac.uk
Hours of Study
Scheduled Learning and Teaching Activities: 36
Independent Study Hours: 114
Total Learning Hours: 150
Assessment
- COURSEWORK (2000 WORDS) weighted at 50%
- EXAMINATION (SUG2) weighted at 50%
Module Details
INDICATIVE CONTENT
This module covers the principles of signals and systems.
Topics covered will include:
Signal and System Representation: Classification of signals – representation in terms of elementary signals. System representation – examples of mathematical models for systems. Normal form of system equations. Discrete-time systems – difference equations.
Convolution: Representation of signals by a continuum of impulses. System impulse response and the convolution integral. Convolution theorem. Evaluation and interpretation of convolution integrals. Impulse response of a physical system. Computing impulse and step responses.
Fourier Transforms: Basic concepts. Fourier analysis: Fourier series, Fourier transforms. Sampled time functions. Discrete Fourier Transform. Spectral density – power vs. energy.
Convolution and the Fourier transform.
Laplace Transform: Definition and properties. The region of convergence. The inverse Laplace transform. Some Laplace transform pairs. Analysis and characterisation of LTI.
systems using the Laplace transform. Frequency responses and frequency spectra.
Correlation Functions: Introduction to stochastic signals and probability. Auto- and cross-correlation functions. Applications in signal recovery and determination of system functions.
Linear Feedback Systems: Applications and consequences of feedback, the Nyquist stability criterion, Gain and phase margins.
Software Modelling and Simulation/Modular Communication Training Equipment: Extensive use of MATLAB software package along with its toolboxes and TIMS (Telecommunication Instructional Modelling System) equipment.
Topics covered will include:
Signal and System Representation: Classification of signals – representation in terms of elementary signals. System representation – examples of mathematical models for systems. Normal form of system equations. Discrete-time systems – difference equations.
Convolution: Representation of signals by a continuum of impulses. System impulse response and the convolution integral. Convolution theorem. Evaluation and interpretation of convolution integrals. Impulse response of a physical system. Computing impulse and step responses.
Fourier Transforms: Basic concepts. Fourier analysis: Fourier series, Fourier transforms. Sampled time functions. Discrete Fourier Transform. Spectral density – power vs. energy.
Convolution and the Fourier transform.
Laplace Transform: Definition and properties. The region of convergence. The inverse Laplace transform. Some Laplace transform pairs. Analysis and characterisation of LTI.
systems using the Laplace transform. Frequency responses and frequency spectra.
Correlation Functions: Introduction to stochastic signals and probability. Auto- and cross-correlation functions. Applications in signal recovery and determination of system functions.
Linear Feedback Systems: Applications and consequences of feedback, the Nyquist stability criterion, Gain and phase margins.
Software Modelling and Simulation/Modular Communication Training Equipment: Extensive use of MATLAB software package along with its toolboxes and TIMS (Telecommunication Instructional Modelling System) equipment.
ADDITIONAL ASSESSMENT DETAILS
Coursework (2,000 words) weighted at 50% consisting of a practical assignment and a reflective diary based on laboratory experiments which will assess Learning Outcome 2.
A 2-hour EXAM weighted at 50% covering Learning Outcome 1.
A 2-hour EXAM weighted at 50% covering Learning Outcome 1.
LEARNING STRATEGIES
36 hours of Lectures/Tutorials/Practical-based teaching supported by the University VLE.
Lecture/Tutorial (2 hours per week), Practical laboratory experiment (4 blocks of 3 hours).
Directed reading, information gathering, and student supervised learning (114 hours).
Lecture/Tutorial (2 hours per week), Practical laboratory experiment (4 blocks of 3 hours).
Directed reading, information gathering, and student supervised learning (114 hours).
REFERRING TO TEXTS
Oppenheim, A. V. & Willsky, A. S. (2014) Signals & Systems, 2nd Edn., Pearson Education Ltd, Harlow.
Phillips, C. L. et al. (2014) Signals, Systems, and Transforms, 5th Edn., Pearson Education Ltd, Harlow.
Lathi, B. P. (2009) Linear Systems and Signals, 2nd Edn., Oxford University Press, Inc., New York, USA.
Chen, C. T. (2004) Signals and Systems, 3rd Edn., Oxford University Press, Inc., New York, USA.
Smith, S. W. (2002) Digital Signal Processing: A Practical Guide for Engineers and Scientists, 3rd Edn., Newnes, Burlington, MA, USA.
Buck, J. R. and al. (2002) Computer Explorations in Signals & systems using MATLAB, 2nd Edn., Prentice Hall, NJ, USA.
Hsu, H. (2014) Signals and Systems, 3rd Edn., Mc Graw-Hill Schaum’s Outlines.
Phillips, C. L. et al. (2014) Signals, Systems, and Transforms, 5th Edn., Pearson Education Ltd, Harlow.
Lathi, B. P. (2009) Linear Systems and Signals, 2nd Edn., Oxford University Press, Inc., New York, USA.
Chen, C. T. (2004) Signals and Systems, 3rd Edn., Oxford University Press, Inc., New York, USA.
Smith, S. W. (2002) Digital Signal Processing: A Practical Guide for Engineers and Scientists, 3rd Edn., Newnes, Burlington, MA, USA.
Buck, J. R. and al. (2002) Computer Explorations in Signals & systems using MATLAB, 2nd Edn., Prentice Hall, NJ, USA.
Hsu, H. (2014) Signals and Systems, 3rd Edn., Mc Graw-Hill Schaum’s Outlines.
ACCESSING RESOURCES
Oscilloscope, Signal Generator
MATLAB Software package
TIMS Telecommunication Instructional Modelling System
MATLAB Software package
TIMS Telecommunication Instructional Modelling System
SPECIAL ADMISSIONS REQUIREMENTS
None.
LEARNING OUTCOMES
1) DEMONSTRATE KNOWLEDGE AND CRITICAL UNDERSTANDING OF KEY ASPECTS AND CONCEPTS OF SIGNALS AND SYSTEMS AND THE MATHEMATICAL METHODS OF DESCRIBING THEM.
(Knowledge & Understanding, Learning)
2) USE OF INDUSTRY STANDARD SIMULATION SOFTWARE PACKAGES AND HARDWARE AND APPLY KEY ANALYTICAL AND REFLECTIVE THINKING SKILLS TO CRITICALLY EVALUATE ARGUMENTS AND ASSUMPTIONS IN RELATING RESULTS TO THEORY.
(Application, Analysis, Reflection)
(Knowledge & Understanding, Learning)
2) USE OF INDUSTRY STANDARD SIMULATION SOFTWARE PACKAGES AND HARDWARE AND APPLY KEY ANALYTICAL AND REFLECTIVE THINKING SKILLS TO CRITICALLY EVALUATE ARGUMENTS AND ASSUMPTIONS IN RELATING RESULTS TO THEORY.
(Application, Analysis, Reflection)