Matlab code for Addition of the signals frequnecy and amplitude value will be enter by user

Code:

clc;

clear all;

close all;

n=input('enter the no. of freq components :');

a=input('enter the amplitude matrix :');

f=input('enter the freq matrix :');

fs=input('enter the sampling frequency :');

disp(a); % display the amplitude componenets

disp(f); % display the frequency componenets

for i=1:1:n

    if (i+1)>n

        break;

    end

       if f(1,i)>f(1,i+1)

           f(1,i+1)=f(1,i); %find outthe maxium freq components

       end  

end

if fs<(2*f(1,n)) %check out the sampling theroem (fs>=2fm)

    fs=input('The fs entered was unadequate. Plz enter the required sampling frequency :');

end

z=0:(.1*fs):fs;

for i=1:1:n  %display the each cosine signal

    x=a(1,i)*cos(2*pi*(z/fs)*f(1,i));

    subplot(n+1,1,i);

    stem(z,x);

    grid on;

    hold on;

end

x=0;

for i=1:1:n  %addition of all signals

    x=(a(1,i)*cos(2*pi*(z/fs)*f(1,i)))+x;

    subplot(n+1,1,n+1);

    stem(z,x);

    grid on;

end

Output:

enter the no. of freq components :4

enter the amplitude matrix :[1 2 1 2]

enter the freq matrix :[5 6 7 5]

enter the sampling frequency :12

     1     2     1     2     5     6     7     5

The fs entered was unadequate. Plz enter the required sampling frequency :16