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Unformatted text preview: ) is as large as possible at t = 2. Problem 3 (CT Fourier Series): Consider a periodic CT signal x ( t ) with fundamental period T = 1. x ( t ) is deFned over one period as x ( t ) = t for 0 ≤ t < 1. (a) Sketch x ( t ) for1 ≤ t < 1. ±ind the ±ourier series coe²cients of x ( t ). (b) The even part of x ( t ) is deFned as EV{ x ( t ) } = x ( t )+ x (t ) 2 . Sketch EV{ x ( t ) } for1 ≤ t < 1. ±ind the ±ourier series coe²cients of EV{ x ( t ) } . (c) The odd part of x ( t ) is deFned as OD{ x ( t ) } = x ( t )x (t ) 2 . Sketch OD{ x ( t ) } for1 ≤ t < 1. ±ind the ±ourier series coe²cients of OD{ x ( t ) } . 2...
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 Fall '09
 Digital Signal Processing, Fourier series coefficients, DT LTI System

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