I am a little confused about convolutions.(adsbygoogle = window.adsbygoogle || []).push({});

I know that convolution is the multiplication and then integral of the two signals. The confusion starts at the commutative property. If i try to change the time-shift from signal to another for any 2 general functions or equations the commutative property doesn't work out.

for example:

let x(t) = sin(t)

and h(t) = t^2

If you try to convolve the signals above with the commutative property you get 2 different results.

However, the convolution's commutative property does work out if h(t) were to be a impulse function. So, does it mean that convolution is only an integral between an impulse signal and a generic signal and not two generic signals? (which is the part i am confused because i have seen examples of convolving 2 different signals)

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# Convolution and Impulse Signals

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