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A#09 - (Express answer in terms of a sinc function 4 −...

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Assignment #09 ECSE-2410 Signals & Systems - Spring 2009 Due Fri 02/20/09 Using the properties and transform Tables (no integrations of the definition) find the Fourier transform, ) ( ω X , for the following signals: Look for symmetry properties. For example, if ( ) t x is real and even, then see if ( ) ω X is real and even . 1(10). (Express answer in terms of a sinc function.) ( ) ( ) ( ) 1 1 + = t u t u t x 2(10). = ) ( t x ( ) 1 ) 2 ( t u e t 3(10). = ) ( t x ( ) ( ) 2 t t δ δ (Express in terms of a trig function.) 4(10).
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Unformatted text preview: (Express answer in terms of a sinc function.) ( ) ( ) 4 ) ( − − = t u t u t x 5(10). (Express under a common denominator.) ( ) ( [ 1 1 ) ( − − + = − t u t u e t x t ) ] 6(10). (Simplify) ( ) ττ τ d u e t x t ∫ ∞ − − = ) ( 7(10). ( ) ( ) t u e t x (Simplify and show the answer is the same as in problem 6) t − − = 1 ) ( 8(10). 9(10). 10(10). x ( t ) 1 2 -2 -1 t 1 2 1 1 2 -2 -1 t x ( t ) 1 -1 1 2 -2 x ( t ) -1 t...
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