deret fourier
Post on 20-Jan-2016
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Deret Fourier
Outline
• The Response of LTI Systems to Complex Exponentials• Fourier Series Representation of Continuous-Time
Periodic Signals• Convergence of the Fourier Series• Properties of Continuous-Time Fourier Series• Fourier Series Representation of Discrete-Time Periodic
Signals• Properties of Discrete-Time Fourier Series• Fourier Series & LTI Systems• Filtering & Examples of CT & DT Filters
Response of LTI Systems to Complex Exponentials
• Basic Idea:– To represent signals as linear combinations of basic
signals
• Key Properties:– The set of basic signals can be used to construct a broad
and useful class of signals– The response of an LTI system to each signal should be
simple enough in structure to provide us with a convenient representation for the response of the system to any signals constructed as linear combination of basic signals
convolution
Continuous Discrete
Properties of CT Fourier Series
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