Unformatted text preview: = by showing that S f S f 1 2 ( ) ( ) = . 4. Time Limited Sine. Given: ≤ ≤ = otherwisefor ) 2 sin( ) ( 2 T 2 T t t f t s c Express S f ( ) as a linear combination of sincs. 5. Find ∫ ∞ ∞ − − dt t u e t ) ( 2 using Parseval’s theorem. Hint: Use the fact that 2 2 ) ( ) ( t u e t u e t t − − = . 6 Use the time shift property to find the Fourier transform of: s t T s t T ( ) ( ) + − From this result, find the Fourier transform of ds dt ....
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 Spring '09
 IzhakRubin
 Prof. John Villasenor TA

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