e help conv to find out how to use the conv command. f(n) = u(n) – u(n – 4) g(n) = n· u(n) - 2 (n – 4) · u(n – 4) + (n – 8) · u(n %3D ke stem plots of the following convolutions. Use the MATLAB conv command t convolutions. O fn)*f(n) O f(n)*f(n)*f(n)

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3. The conv Command
Use help
conv to find out how to use the conv command.
Let
f(n) 3 и(п) — и(п — 4)
g(n) = n · u(n) – 2(n – 4) · u(n – 4) + (n - 8) · u(n – 8).
Make stem plots of the following convolutions. Use the MATLAB conv command to compute
the convolutions.
(a) f(n)*f(n)
(b) f(n)*f(n)*f(n)
(c) f(n)*g(n)
(d) g(n)* 5(n)
(e) g(n)*g(n)
Comment on your observations: Do you see any relationship between f(n)* f(n) and g(n) ?
Compare f(n) with f(n)* f(n) and with f(n)* f(n)* f(n). What happens as you repeatedly
convolve this signal with itself?
Use the commands title, xlabel, ylabel to label the axes of your plots.
Transcribed Image Text:3. The conv Command Use help conv to find out how to use the conv command. Let f(n) 3 и(п) — и(п — 4) g(n) = n · u(n) – 2(n – 4) · u(n – 4) + (n - 8) · u(n – 8). Make stem plots of the following convolutions. Use the MATLAB conv command to compute the convolutions. (a) f(n)*f(n) (b) f(n)*f(n)*f(n) (c) f(n)*g(n) (d) g(n)* 5(n) (e) g(n)*g(n) Comment on your observations: Do you see any relationship between f(n)* f(n) and g(n) ? Compare f(n) with f(n)* f(n) and with f(n)* f(n)* f(n). What happens as you repeatedly convolve this signal with itself? Use the commands title, xlabel, ylabel to label the axes of your plots.
Expert Solution
Step 1

CODE:

n=-10:1:10;
f=heaviside(n)-heaviside(n-4)
g=(n.*heaviside(n))-2.*(n-4).*heaviside(n-4)+(n-8).*heaviside(n-8)

f1=conv(f,f,'same')
f2=conv(f1,f,'same')
f3=conv(f,g,'same')
f4=conv(g,dirac(n),'same')
f5=conv(g,g,'same')

figure; %%relation between f*f and g.
title('relation between f*f and g.')
stem(n,g,'ro');
hold on;
stem(n,f1,'b*');

figure; %%relation between f,f*f and f*f*f.
title('relation between f,f*f and f*f*f.')
stem(n,f,'ro');
hold on;
stem(n,f1,'b*');
hold on;
stem(n,f2,'g^');

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