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How to plot output y(t) of LTI system, where impulse response h(t) and input x(t) are given?

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Szalka Gergo
Szalka Gergo on 24 Oct 2021
Edited: Paul on 25 Oct 2021
I would like to determine and plot a LTI system's output [ y(t) ] .
I know that y(t) can be determined by convolving input and impulse response, or y(t) = x(t) * h(t), but I can't figure out how to plot output correctly.
  3 Comments
Paul
Paul on 24 Oct 2021
x(t) does not include that term ε(t) . So as written x(t) is non-zero for t < 0. Is that the correct interpretation of x(t)?

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Answers (1)

Yongjian Feng
Yongjian Feng on 24 Oct 2021
Do you mean:
  1. create a list of t
  2. compute y for the list of t above
  3. plot(t, y)
  2 Comments
Yongjian Feng
Yongjian Feng on 25 Oct 2021
Well one way to verify is to pick several points of t, compute x(t), h(t) and y(t) by hand (or say use a calculator). Then verify y(t) on the figure is correct.

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