Calculate convolution y[n] = (x ∗ h)[n] of signals h[n] and x[n]

Razzex

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Jan 20, 2017
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I would like to ask, how should I proceed when calculating convolution of LTI systems with the following parameters:

x[n] = 3δ[n+1] + δ[n−1] + 4δ[n−2] − 2δ[n−4]
h[n] = −δ[n + 1] + δ[n] − δ[n − 1]


I do know the result, but I am unfamiliar with the procedure. I would be very much grateful, if someone could elaborate on that.
Thanks in advance for any help.

The result should be:

y[n] = {−3, 3, −4, −3, 3, −2, −2, 2}
 
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