Find the convolution of the signals:
𝑥(𝑛)={2 𝑛=−2,0,1
3 𝑛=−1
0 elsewhere}
ℎ(𝑛)=𝛿(𝑛)−2𝛿(𝑛−1)+3𝛿(𝑛−2)−𝛿(𝑛−3)
(a) Graphical method
(b) Sliding strip method
X[n]=δ[n]+2δ[n−1]+3δ[n−3]+4δ[n−4]+6δ[n−6]X[n]= \delta [n]+2\delta [n-1]+3\delta [n-3]+4\delta [n-4]+6\delta [n-6]X[n]=δ[n]+2δ[n−1]+3δ[n−3]+4δ[n−4]+6δ[n−6]
h[n]=δ[n+1]+2δ[n]+δ[n−1]+δ[n−2]h[n]= \delta [n+1]+2\delta [n]+\delta [n-1]+\delta [n-2]h[n]=δ[n+1]+2δ[n]+δ[n−1]+δ[n−2]
y(n) by circular convolution = [-4,1,6,-3,3,5]
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