# how to verify that the phase of the two signals x1(t) and x2(t) is correct at t = 0, and also verify that each one has the correct maximum amplitude.

4 views (last 30 days)
Md Mahi on 17 Feb 2021
Answered: SaiDileep Kola on 26 Feb 2021
clc
clear all
close all
taxis= linspace(-10,10, 200);
taxis=taxis/20;
A=5;
f=15; %15 hertz sinusoids
x1= A* cos((2*pi*f*taxis)+0.5*pi);
x2= A* cos((2*pi*f*taxis)-0.25*pi);
x3= A* cos((2*pi*f*taxis)+0.4*pi);
x4= A* cos((2*pi*f*taxis)-0.9*pi);
x5=x1+x2+x3+x4;
% phase difference measurement
phsdifference = phasedifference(x1, x5);
% display the phase difference
disp(['Phase difference of x5 from x1= ' num2str(phsdifference) ' deg'])
figure (1)
subplot(5,1,1);
plot(taxis,x1, 'r');
title('sinusoid x1 with 15 hertz');
xlabel('Time (s)');
ylabel('Amplitudes');
legend('x1');
subplot(5,1,2);
plot(taxis, x2, 'k');
title('sinusoid x2 with 15 hertz');
xlabel('Time (s)');
ylabel('Amplitudes');
legend('x2');
subplot(5,1,3)
plot(taxis, x3, 'g');
title('sinusoid x3=(x1+x2) with 15 hertz');
xlabel('Time (s)');
ylabel('Amplitudes');
legend('x3');
subplot(5,1,4)
plot(taxis, x4, 'b');
title('sinusoid x4 with 15 hertz');
xlabel('Time (s)');
ylabel('Amplitudes');
legend('x4');
subplot(5,1,5)
plot(taxis, x5, 'm');
title('sinusoid x5 with 15 hertz');
xlabel('Time (s)');
ylabel('Amplitudes');
legend('x5');

SaiDileep Kola on 26 Feb 2021
You may get some help with discussion here