hw4 - s 2 3 s 2 s s 2 2 s 2 For the following regions of...

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EE210 Signals and Systems (Feb 13, 2009) Home Work Set 4 1. Let f ( t ) ←→ F ( s ) be one sided L.T. pair. Show that lim s 0 sF ( s ) = f ( ) 2. Find H ( s ) for the system given below. 3. Let H ( s ) = e - 2 s ( s + 2)( s + 3) ,Re ( s ) > C Find h(t). 4. Let g ( t ) = Z -∞ f 1 ( τ ) f 2 ( t + τ ) Find G(s) in term of F 1 ( s ) and F 2 ( s ). Can you interpret the obtained results in terms of the L.T. of the convolution intergral. 5. Find the inverse L.T. of
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Unformatted text preview: s 2 + 3 s + 2 s ( s 2 + 2 s + 2) For the following regions of convergence (a) Re ( s ) > (b)-1 < Re ( s ) < 6. Let x ( t ) ←→ X ( s ) , a 1 < Re ( s ) < b 1 y ( t ) ←→ Y ( s ) , a 2 < Re ( s ) < b 2 Now let z ( t ) = x ( t ) y ( t ). Find Z ( s ) and the corresponding region of convergence....
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