Question #200608

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


1
Expert's answer
2021-05-31T06:19:03-0400

X[n]=δ[n]+2δ[n1]+3δ[n3]+4δ[n4]+6δ[n6]X[n]= \delta [n]+2\delta [n-1]+3\delta [n-3]+4\delta [n-4]+6\delta [n-6]

h[n]=δ[n+1]+2δ[n]+δ[n1]+δ[n2]h[n]= \delta [n+1]+2\delta [n]+\delta [n-1]+\delta [n-2]


y(n) by circular convolution = [-4,1,6,-3,3,5]


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