Linear systems 220

Module code ELI 220
Qualification Undergraduate
Faculty Faculty of Engineering, Built Environment and Information Technology
Module content

This module presents an introduction to linear systems (classification of signals, elementary signal properties, signal operations and system equations), time-domain models of linear systems (impulse response, LTI responses, convolution of continuous-time signals and related properties), Fourier series (exponential and trigonometric Fourier series, Euler, amplitude and phase spectra, bandwidth, Gibbs phenomenon, Parseval's theorem and Dirichlet condition), the Fourier transform (Fourier transform and its inverse, properties, introduction to modulation systems (amplitude modulation), energy and power spectral density of continuous-time signals), the Laplace transform (relationship with Fourier, properties, transform pairs, integro-differential equations of RC, RL and RLC circuits, block diagrams, poles and zeros, Bode plots, second-order system properties, stability, final and initial value theorems, natural frequency, natural and forced response, step response and sinusional input analysis), filter design (ideal filters and practical filter design (lowpass, highpass, bandpass and bandstop) and Butterworth and other filter designs), and sampling and quantisation (sampling theorem and Nyquist criteria, aliasing, introduction to anti-aliasing filters and digital systems).

Module credits 16.00
NQF Level 06
Prerequisites EIR 211/221 GS
Contact time 1 practical per week, 1 tutorial per week, 3 lectures per week
Language of tuition Module is presented in English
Department Electrical, Electronic and Computer Engineering
Period of presentation Semester 2

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