38 Sketch the continuous time signals f t g t Find and sketch the convolution y

38 sketch the continuous time signals f t g t find

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2.3.8 Sketch the continuous-time signals f ( t ), g ( t ). Find and sketch the convolution y ( t ) = f ( t ) g ( t ). f ( t ) = e - t u ( t ) , g ( t ) = e - t u ( t ) 2.3.8) Solution 253
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2.3.11 Sketch the continuous-time signals f ( t ), g ( t ). Find and sketch the convolution y ( t ) = f ( t ) g ( t ). f ( t ) = u ( t + 2) - u ( t - 2) g ( t ) = 1 X k = -1 δ ( t - 3 k ) 2.3.11) Solution 256
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2.3.12 Sketch the convolution of the following two signals. 1 0 1 2 3 4 5 t f ( t ) 1 0 1 2 3 4 5 t g ( t ) 2.3.12) Solution 257
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2.3.13 Consider the cascade connection of two continuous-time LTI systems x ( t ) - SYS 1 - SYS 2 - y ( t ) with the following impulse responses, h 1 ( t ) - - 1 0 1 2 3 1 h 2 ( t ) - - 1 0 3 1 - 1 Accurately sketch the impulse response of the total system. 259
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2.3.13) Solution 260
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2.3.14 Two continuous-time LTI systems are connected in cascade. x ( t ) h 1 ( t ) h 2 ( t ) y ( t ) The impulse responses of the two systems are: 1 -1 0 3 4 5 t h 1 ( t ) 1 -1 0 1 3 5 t h 2 ( t ) Sketch the impulse response of the total system. 2.3.14) Solution OVERLAPPING 261
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