Tabular method of linearity Convolution
Tabular methodThe following tabular method uses the 2nd of the 2
forms, which are, y(n) =h(k ) x(n - k ) , for the convolution
sum.
The sequence y(n) is plotted in diagram below. Note that Ly, the
length of y(n), equals the sum of the lengths of x(n) and h(n)
minus 1: Ly = Lx + Lh - 1.
MATLAB (Linear Convolution) xn = [1, 2, 3, 1]; hn = [4, 3, 2,
1]; yn = conv(xn, hn) M = length(xn) + length(hn) - 1; m = 0: M-1;
stem(m, yn)The result is: yn = 4 11 20 18 11 5 1
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