Tabular method
The 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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