How to find output of system with impulse response function

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Mandeep Kaur 2022-2-9

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回答： Bhavana Ravirala 2022-2-14

How i can find the output of system with impulse response function h(t) = sin(t) u(t) for input f(t) = exp(-t)u(t) in MATLAB?

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Answer 1

Bhavana Ravirala 2022-2-14

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Hi Mandeep,

From my understanding you are trying to find output of the system which can be obtained by convolution of input and impulse response. The convolution can be obtained by product of Laplace transform of both the signals.

syms t;   % t is a variable 
impulseResponce=exp(-t); 
input=sin(t); 
k=laplace(impulseResponse)*laplace(input);   % product of laplace transforms
output=ilaplace(k);   % inverse laplace transform 