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Fourier Transform and its Applications - Lecture 3

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Lecture 3 - Convergence

Summary Of Previous Lecture (Analyzing General Periodic Phenomena As A Sum Of Simple Periodic Phenomena), Fourier Coefficients; Discussion Of How General The Fourier Series Can Be (Examples Of Discontinuous Signals), Discontinuity And Its Impact On The Generality Of The Fourier Series, Infinite Sums To Represent More General Periodic Signals, Summary Of Convergence Issues, Convergence: Continuous Case, Smooth Case (Fourier Series Converges To The Signal), Convergence: Jump Discontinuity, Convergence: General Case (Convergence On Average/ In Mean/ In Energy)

Prof. Brad G Osgood
The Fourier Transform and its Applications EE261
(Stanford University: Stanford Engineering Everywhere)
http://see.stanford.edu
Date accessed: 2009-09-24
License: Creative Commons Attribution 3.0

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