The convolution of a continuous system is given by y(t)= f u(t-t)h(t)dt, Where u(t t) is the input signal and h(t) is the impulse response of the system, based on the above system answer the followings? 1- If the input is an impulse function(u(t) = 8(t)), what is the system responsey(t)? 2- If the impulse response is h(t) = 6(t), how does the system behave? 3- If the impulse response h(t) is a unit step function, what is the system responsey(t)? 4 If h(t) = 8(t – 1) , find the system response y(t)? 5- If h(t) as shown in figure, how does the system behave? -00 h(t)

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The convolution of a continuous system is given by y(t) = Su(t-t)h()dt,
Where u(t - t) is the input signal and h(t) is the impulse response of the system,
based on the above system answer the followings?
1- If the input is an impulse function(u(t) = 6(t)), what is the system responsey (t)?
2- If the impulse response is h(t) = 6(t), how does the system behave?
3- If the impulse response h(t) is a unit step function, what is the system responsey(t)?
4 If h(t) = 8(t – 1) , find the system response y(t)?
5- If h(t) as showa in figure, how does the system behave?
-00
|3|
|
h(t)
Transcribed Image Text:The convolution of a continuous system is given by y(t) = Su(t-t)h()dt, Where u(t - t) is the input signal and h(t) is the impulse response of the system, based on the above system answer the followings? 1- If the input is an impulse function(u(t) = 6(t)), what is the system responsey (t)? 2- If the impulse response is h(t) = 6(t), how does the system behave? 3- If the impulse response h(t) is a unit step function, what is the system responsey(t)? 4 If h(t) = 8(t – 1) , find the system response y(t)? 5- If h(t) as showa in figure, how does the system behave? -00 |3| | h(t)
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