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Module Aims
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To provide the student with an understanding of modelling and analysis techniques for random and deterministic signals.To provide the student with an understanding of basic probability and random processes. To introduce students to analogue and digital modulation schemes.
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Learning Outcomes
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On completion of this module, the student will be able to Derive an expression for the frequency response of a LTI system. (PO1) State the Shannon-Whittaker Sampling Theorem. (PO1) Measure the frequency responses of filters and electro-acoustic systems. (PO2, PO5) Perform calculations using the Discrete Fourier Transform. (PO1) Apply Bayes Rule to calculation of error probabilities in binary symmetric channel. (PO1, PO2) Calculate the Autocorrelation Function of some random processes. (PO1, PO2) Use Wiener-Khinchine theorem to compute PSD from ACF. (PO1, PO2
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Indicative Time Allowances
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Hours
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Lectures |
60
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Tutorials |
12
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Laboratories |
18
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Seminars |
0
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Independent Learning Time |
60
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Total |
150
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Placements |
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Assignments |
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NOTE
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Assume that a 10 credit module load represents approximately 150 hours' work, which includes all teaching, in-course assignments, laboratory work or other specialised training and an estimated private learning time associated with the module.
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Indicative Syllabus
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Deterministic SignalsContinuous Time Signals & Systems: The impulse function, convolution integral, convolution property of the Laplace transform, transfer functions, response of systems to complex exponential, review of Fourier Series, Fourier transform & convolution property.Discrete Time Signals and Systems: The unit sample function, convolution summation, convolution property of Z transform, Z transfer functions, simple filter designs.Sampling and Reconstruction: Sampling, Nyquist sampling theorem, frequency domain effects, reconstruction, the Bandlimited Interpolation Formula.Discrete Fourier Transform: Principles and simple applications; basics of FFT algorithms.Stochastic Signals: Stationarity and ergodicity, autocorrelation and power spectrum, Parseval''''''''''''''''s theorem, Wiener-Khintchine theorem, processing of random signals by linear systems, mean-square value of output.Probability and Random ProcessesBasic Probability: Set theory, Joint and Conditional Probability, Bayes'''''''''''''''' Theorem, Bernoulli Trials.Random Variables: Discrete and Continuous Random Variables, Distribution and Density Functions, Common Distributions and Densities, Functions of Random Variables, Multiple Random Variables.Random Processes: Deterministic and Nondeterministic Processes, Stationarity and Independence, Correlation Functions, Common Random Processes.
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| Assessment | | Continuous Assessment | 20% | Examination Weight | 80% |
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Indicative Reading List
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Essential:M.L. Meade, C.R. Dillon, Signals and Systems (2/E), Chapman & Hall, 1991.Supplemental:Peyton Z. Peebles, Jr., Probability, Random Variables, and Random Signal Processing, McGraw-Hill,1993.A.B. Carlson, P.B. Crilly, J.C. Rutledge, Communication Systems (4/E), McGraw Hill, 2002.S. Haykin, Communications Systems..
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Contribution to Programme Areas:
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Science & Mathematics
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Discipline - specific Technology
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Information and Communications Technology
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Design and Development
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Engineering Practice
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Social and Business Context
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4
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2
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2
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2
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1
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0
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Contribution to Programme Outcomes:
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Knowledge and Its Application:
The ability to derive and apply solutions from a knowledge of sciences, engineering sciences, technology and mathematics
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Problem Solving:
The ability to identify, formulate, analyse and solve engineering problems;
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Design:
The ability to design a system, component or process to meet specified needs, to design and conduct experiments and to analyse and interpret data;
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Ethical Practice:
An understanding of the need for high ethical standards in the practice of engineering, including the responsibilities of the engineering profession towards people and the environment
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Effective Work and Learning:
The ability to work effectively as an individual, in teams and in multidisciplinary settings together with the capacity to undertake lifelong learning;
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Effective Communication:
The ability to communicate effectively with the engineering community and with society at large
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3
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3
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3
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0
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1
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0
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Teaching & Learning Strategies/Assessment Methodology:
The module is delivered as lectures and a set of laboratory exercises.
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Programme or List of Programmes
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| BSSA | Study Abroad (DCU Business School) |
| BSSAO | Study Abroad (DCU Business School) |
| DME | B.Eng. in Digital Media Engineering |
| ECSA | Study Abroad (Engineering & Computing) |
| ECSAO | Study Abroad (Engineering & Computing) |
| EE | BEng in Electronic Engineering |
| HMSA | Study Abroad (Humanities & Soc Science) |
| HMSAO | Study Abroad (Humanities & Soc Science) |
| ICE | BEng Info and Communications Engineering |
| SHSA | Study Abroad (Science & Health) |
| SHSAO | Study Abroad (Science & Health) |
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