How to find output of system with impulse response function

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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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Bhavana Ravirala
Bhavana Ravirala el 14 de Feb. de 2022
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
For more information refer to the documentations below:
Hope this helps.

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R2021b

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