Consider the following signal st B0 B1 cos2 pi f0 t alpha

Consider the following signal s(t) = B_0 + B_1 cos(2 pi f_0 t + alpha_1) + B_2 cos(4 pi f_0 t + alpha_20 + B_3 cos(6 pi f_0 t + alpha_3) with the following: For f_0 = 100 and 0

Solution

f0=100;
t=0:0.1:10;
B0=0;
B1=1;
B2=4;
B3=2;
a1=0;a2=45;a3=60;
H1=B1*cos((2*pi*f0*t)+a1);
H2=B2*cos((4*pi*f0*t)+a2);
H3=B2*cos((6*pi*f0*t)+a3);
b=H1+H2;
c=b+H3;
figure(1)
subplot(1,3,1)
plot(t,H1)
xlabel(\'t\')
title(\'Harmonic1\');
subplot(1,3,2)
plot(t,H2)
xlabel(\'t\')
title(\'Harmonic2\');
subplot(1,3,3)
plot(t,H3)
xlabel(\'t\')
title(\'Harmonic3\');
figure(2)
subplot(1,2,1);
plot(t,b);
xlabel(\'t\')
title(\'Harmonic1+Harmonic2\');
subplot(1,2,2);
plot(t,c);
xlabel(\'t\')
title(\'Harmonic1+Harmonic2+Harmonic3\');