Registry
Module Specifications
Archived Version 2007 - 2008
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Module Aims | |||||||||||||||||||||||||||||||||
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 | |||||||||||||||||||||||||||||||||
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)
Design a diode detector for AM signals. (PO3)
Calculate the bandwidth needed for digital transmission of analogue signals.(PO2, PO3)
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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. | |||||||||||||||||||||||||||||||||
Indicative Syllabus | |||||||||||||||||||||||||||||||||
Deterministic Signals Continuous 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 Processes Basic 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. Modulation Amplitude modulation, methods for modulation and detection, DSBSC modulation, coherent detection, squaring loop, SSB modulation and demodulation. Angle modulation, phase modulation, frequency modulation and detection. Sampling, quantization noise compansion, pulse code modulation. Bandpass digital communications; ASK, PSK. | |||||||||||||||||||||||||||||||||
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Indicative Reading List | |||||||||||||||||||||||||||||||||
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. | |||||||||||||||||||||||||||||||||
Contribution to Programme Areas:
Contribution to Programme Outcomes:
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 | |||||||||||||||||||||||||||||||||
BSSA | Study Abroad (DCU Business School) | ||||||||||||||||||||||||||||||||
BSSAO | Study Abroad (DCU Business School) | ||||||||||||||||||||||||||||||||
DME | B.Eng. in Digital Media Engineering | ||||||||||||||||||||||||||||||||
DMEI | BEng in Digital Media Engineering Intern | ||||||||||||||||||||||||||||||||
ECSA | Study Abroad (Engineering & Computing) | ||||||||||||||||||||||||||||||||
ECSAO | Study Abroad (Engineering & Computing) | ||||||||||||||||||||||||||||||||
EE | BEng in Electronic Engineering | ||||||||||||||||||||||||||||||||
EEI | BEng Electronic Engineering Internship | ||||||||||||||||||||||||||||||||
HMSA | Study Abroad (Humanities & Soc Science) | ||||||||||||||||||||||||||||||||
HMSAO | Study Abroad (Humanities & Soc Science) | ||||||||||||||||||||||||||||||||
ICE | BEng Info and Communications Engineering | ||||||||||||||||||||||||||||||||
ICEI | BEng Info/Communications Eng Internship | ||||||||||||||||||||||||||||||||
SHSA | Study Abroad (Science & Health) | ||||||||||||||||||||||||||||||||
SHSAO | Study Abroad (Science & Health) | ||||||||||||||||||||||||||||||||
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