The convolution of a continuous system is given by y(t) = [_u(t – t)h(t)dr, 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 showh in figure, how does the system behave? h(t)

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The convolution of a contimnuous system is given by y(t) = [ u(t – t)h(t)dr,
Where u(t – 1) 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) = 8(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 showh in figure, how does the system behave?
h(t)
1.
Transcribed Image Text:The convolution of a contimnuous system is given by y(t) = [ u(t – t)h(t)dr, Where u(t – 1) 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) = 8(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 showh in figure, how does the system behave? h(t) 1.
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