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Unformatted text preview: / 3) U ( t ) (iii.) ( e-t sin 2 t ) U ( t ) , > . 4. Show that (i) L s [ tf ( t )] =-dF ( s ) ds , L s [ f ( t a )] = aF ( as ) , a 6 = 0 (ii)For n 1: L s [(-t ) n f ( t )] = d n F ( s ) ds n 5. Given the following systems: (i)System S 1 with IPOP relation: y ( t ) = Z t- x ( ) U ( ) d,t >- . (ii)System S 2 with IPOP relation: z ( t ) = ( t ) U ( t )-Z t- e-( t- ) ( ) U ( ) d,t >- . here z(t) is output and ( t ) is input. Compute h 1 ( t ) and h 2 ( t )IRF of S 1 and S 2 , respectivelyand h 12 ( t )IRF of S 1 S 2 . Then compute H 1 ( s ), H 2 ( s ), and H 12 ( s ) the Laplace Transforms of the respective IRF. What can you tell the wide world from what you have computed? 2...
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This note was uploaded on 10/07/2011 for the course EE 102 taught by Professor Levan during the Spring '08 term at UCLA.
- Spring '08