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Lecture III: Systems and their properties

Lecture III: Systems and their propertiesMaxim RaginskyBME 171: Signals and SystemsDuke UniversitySeptember 3, 2008 Maxim RaginskyLecture III: Systems and their propertiesThis lecturePlan for the Lecture :1 What is a system ?2 system properties :causalitymemorylinearitytime invariance3 Linear time-invariant (LTI) systems4 Nonlinear systemsMaxim RaginskyLecture III: Systems and their propertiesWhat is a system ?Recap:a system is any physical device, process or computer algorithmthat transforms input signals into output :electronic circuitsbiological Systems : audiovisual system , cardiovascular system , Systems : the stock market, social networks, processors in scientific or medical equipment or inaudio/video devicesWe will state our definitions for continuous-time Systems .

Another important property of LTI systems is their action on complex exponentials: if S is LTI, then S n ejωt o = c(ω)ejωt for some complex number c(ω). So LTI systems can attenuate or amplify ... weights σ(·) is a nonlinear transformation This is an example of a multiple-input, single-output system. Maxim Raginsky Lecture III: Systems ...

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