# tutorial5 - Tutorial 5 Q1 Obtain the Laplace transform of...

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EE3118 Linear Systems and Signal Analysis KST SemA 2008/09 Tutorial 5 Q1. Obtain the Laplace transform of the following signals a) ( ) () t u e t 3 1 b) () ( ) 5 t u t u c) () t π 50 cos Q3. Obtain the signals whose Laplace transforms are (a) 20 8 8 2 + + + s s s (b) () () () 3 2 4 82 33 20 7 2 2 3 + + + + + + s s s s s s (c) () 2 2 4 8 + s s Q4. A signal x(t) has the Laplace transform () 2 3 3 2 + + + = s s s s X Find the Laplace transform, Y(s) , of the following signals: (a) () ( ) ( ) 1 2 1 2 1 = t u t x t y (b) () ( ) t x t t y = 2 (c) () () t x e t y t 2 3 = (d) () () ( ) 2 / 4 t x t x t y = (e) () dt dx dt x d t y + = 2 2 5 3 (f) () ( )( ) t x t x t y 2 3 / 2 6 + = (g) () () ( ) t t x t y 5 sin 7 = Q5. The signal v(t) is a causal train of rectangular pulses with height A , duration 1 t , and period T as shown below. Determine the Laplace transform of v(t) .

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tutorial5 - Tutorial 5 Q1 Obtain the Laplace transform of...

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