electiveHQ

Linear, time-invariant (LTI) systems often provide a first approximation of the behaviour of systems close to an operating region. This module offers an introduction to the analysis of LTI systems both in continuous and discrete-time. It is impossible to provide an analysis procedure for systems without introducing signals and the tools principle tools used for their analysis. Within the module, the mathematical ideas are described, which underpin the very important concept of the frequency content of a signal and the frequency response of a system. The module covers the mathematics required to undertake a study of dynamics, communication theory, signal processing, advanced circuit theory and control theory, with engineering examples. Above all the module also provides advanced techniques for the solution of linear, constant coefficient, ordinary differential and difference equations, motivated by engineering applications in which the equations of motion are of this form. Module Outline: LTI systems: introduction, main definitions and examples. Signals and systems: basic definitions. The continuous and discrete-time Fourier series. The continuous and discrete-time Fourier transform. The Laplace transform. The z-transform.