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Basic Problems on Signals Solution

# Basic Problems on Signals Solution - SOLUTION 001 Write...

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2 SOLUTION 001 Write analytical expression for the continuous-time waveform ( ) f t , shown in below figure. ( ) f t t 3 1 5 7 3 SOLUTION 1: ( ) ( ) 1 1 1 2 2 1 3, 0 1, 3 P x y P x y = = − = = = − = ( ) ( ) ( ) ( ) 3 0 3 0 ( 3) 3 3 1 ( 3) 2 f t t t u t = − − = + + − − − t 3 1 5 3 t 3 1 3 ( ) ( ) 3 1 1 2 t u t + + ( ) ( ) 3 5 5 2 t u t ( ) ( ) 3 7 7 2 t u t ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 3 3 3 3 3 3 1 1 5 5 7 7 2 2 2 2 f t t u t t u t t u t t u t = + + + + +

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4 SOLUTION 002 Write analytical expression for the continuous-time waveform ( ) f t , shown in below figure. ( ) f t t 2 4 3 2 SOLUTION 2: ( ) 2 2 u t + ( ) ( ) 2 3 3 t u t ( ) ( ) 2 4 4 t u t + ( ) ( ) ( ) ( ) ( ) ( ) 2 2 2 3 3 2 4 4 f t u t t u t t u t = + +
6 SOLUTION 003 Write analytical expression for the continuous-time waveform ( ) f t , shown in below figure. ( ) f t t 0 4 5 6 10 5 SOLUTION 3: ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 5 5 15 5 4 5 4 4 6 6 10 10 4 4 2 2 f t tu t tu t t u t t u t t u t = +

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8 SOLUTION 004 Plot the following continuous-time waveform.
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Basic Problems on Signals Solution - SOLUTION 001 Write...

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