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304_hw1

# 304_hw1 - x t = u t 2 Compute the response of the filter to...

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NAME______________________ EEE 304 HW 1 Problem 1: Consider the filter with impulse response ) 1 ( ) ( = t u e t h t . 1. Find the transfer function 2. Find the Laplace transform of the output when ) ( ) 5 sin( ) ( t u t t x = 3. Find the output by taking the inverse Laplace transform of your answer to part 2. 4. Can you obtain the same result using Fourier Transforms? Problem 2: Consider the continuous time causal filter with transfer function ) 1 )( 2 ( ) 1 ( 3 ) ( + + = s s s s H 1. Compute the response of the filter to
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Unformatted text preview: x [ t ] = u [ t ] 2. Compute the response of the filter to x [ t ] = u [-t ] 3. Repeat parts 1 and 2 for a stable system with the same transfer function. Problem 3: Consider the discrete time stable filter with transfer function ) 5 . 1 )( 5 . ( 1 ) ( − − − = z z z z H 1. Compute the response of the filter to x [ n ] = u [ n ]. 2. Repeat part 1 for a causal filter with the same transfer function....
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