How do I find the covolution product of 2 function, like:
$\sin(2t-\sqrt(2)t) * \sin(\sqrt(2)t)$.
As best as I know the two function must have the same value, and I'm not really sure how to solve if they are different
How do I find the covolution product of 2 function, like:
$\sin(2t-\sqrt(2)t) * \sin(\sqrt(2)t)$.
As best as I know the two function must have the same value, and I'm not really sure how to solve if they are different
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As $f(t)*g(t) = \int_0^tf(\tau)g(\tau-t)d\tau$ we have
$$ \sin(2t-\sqrt(2)t) * \sin(\sqrt(2)t) = \int_0^t\sin(2t-\sqrt(2)t)\sin(\sqrt(2)(\tau-t)) d\tau $$