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EE102 hw2

# EE102 hw2 - Spring 2009 Put First Letter of LAST Name in...

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Spring 2009: Put First Letter of LAST Name in the corner →→%% ( Otherwise Your HW Will Be LOST! ) PRINT: (LAST , Middle, First):——————————————————– HW: # 2 A LATE HW IS A NON-HW! Posted: April 09 Hand In To Me 1 : April 16 Attach This Sheet To Your HW (Otherwise It Will Be Lost!) 1. Let x ( · ) and y ( · ) denote input and corresponding output of a system S . Given the following IPOP relations: (i) y ( t ) = x ( α t ) , t ( −∞ , ) , where α is a real constant. (ii) y ( t ) = R −∞ sin( τ t ) U ( τ t ) x ( τ ) dτ, t ( −∞ , ) . Show whether: in case (i) the system is TV while in case (ii) the system is NC. 2. (i) Use BT to write down the IRF h ( t, τ ) of the system of Problem 1(ii). (ii) Given the IRF h ( t ) of a LTIC system: h ( t ) = U ( t ) , t ( −∞ , ) and the input x ( t ) = U ( t + 1) e t U ( t 4) , t ( −∞ , ) Find the corresponding output

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EE102 hw2 - Spring 2009 Put First Letter of LAST Name in...

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