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# HW_Set_8 - Circuits and Systems II Homework Set#8 Due...

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Circuits and Systems II Hayder Radha - 1 - ECE 202 Homework Set #8 Due Wednesday, March 26, 2008 (In class) ECE 202 – Circuits and Systems II Spring 2008 Michigan State University Department of Electrical and Computer Engineering Please remember to follow the rules and policies outlined in the Homework section of the ECE 202 webpage: http://www.egr.msu.edu/classes/ece202/radha Convolution [1] The impulse response of a linear system is a pulse over a one-second period: ( ) ( ) ( ) 1 h t u t u t = . Let the input signal be a step function: ( ) ( ) x t u t = . Find the output ( ) y t using convolution. [2] The impulse response of a linear circuit is: ( ) ( ) t h t e u t α = . Let the input be a time-shifted step-function: ( ) ( ) 1 x t u t = . (a) Find the output of the system ( ) y t using (time-domain) convolution.
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