Question #200611

Find the regular convolution of the following sequences using tabular method:

𝑥(𝑛)={3 −2 1 4} and ℎ(𝑛)={2 5 3}

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Expert's answer

𝑥(𝑛)={3 −2 1 4}

Range of

{-4 +2 -3 -1}

Range of

Conolution of x[n] and x[-n]

The range of elements of y[n] will be

Hence elements can be calculated from -3 to 3 by summing up diagonals

y[-3]=4

y[-2]=12+-2=10

y[-1]= -8+-6+3=-11

y[0]=16+4+9+1=30

y[1]=-8+-6+3=-11

y[2]=12+-2=10

y[3]=4

y[n]={4,10,-11,30,-11,10,4}

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