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Unformatted text preview: FALL 2008: Put First Letter of LAST Name in the corner ( Otherwise Your HW May Be LOST! ) PRINT: (LAST , Middle, First): EE102: SYSTEMS & SIGNALS HW: # 3 A LATE HW CANNOT BE A HW! Posted: W, October 15 Hand In To Me 1 : M, October 27 Attach This Sheet To Your HW (Otherwise It May Be Lost!) 0. 2 The IPOP relation of a system S is y ( t ) = t- x ( ) d + t e- ( t- ) x ( ) d ,- < t < . Write down the IRF h ( t ) and the USR (Unit Step Response) g ( t ) of the sys- tem. SOLS. Rewrite y ( t ) in the BT form: y ( t ) = - U ( t- ) x ( ) d + - e- ( t- ) U ( - t ) x ( ) d , t R, = - [ U ( t- ) + e- ( t- ) U ( - t )] x ( ) d . Therefore by BT h ( t, ) = U ( t- )+ e- ( t- ) U (- ( t- )) = h ( t- ) h ( t ) = U ( t ) + e- t U (- t ) . By definition U ( t )- [ S ]- g ( t ) ....
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This note was uploaded on 04/03/2009 for the course EE 102 taught by Professor Levan during the Fall '08 term at UCLA.
- Fall '08