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Unformatted text preview: the time intervals, limits of integration and the integrands for each component of the solution. Do not compute the integrals. & ± & ² ³ ≤ < ≤ < =otherwise t e t e t h t t 5 3 3 1 ) ( ) 5 ( ) 1 ( & ± & ² ³ ≤ <≤ < + = otherwise t t t v 7 5 1 3 1 1 ) ( and Question #3 A system has input f(t), output x(t), and the impulse response ) ( 10 ) ( 5 2 t t e e t h= a) What is the system’s transfer function? b) Using your answer to part (a) and using Laplace Transform techniques, find x(t) assuming that ) ( 8 ) ( t u t f = c) Show how convolution could be used to confirm you answer to part (b). You need not actually evaluate any integrals that you might come up with....
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 Winter '08
 John Bryant
 Energy storage devices, Carleton University Department, Carleton University Department of Systems, graphical convolution techniques

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