Even and Odd Decomposition of a Signal in MATLAB

Code:

clc

clear all

close all

n1=input('Enter the time sample range of x');

x=input('Enter the sequence');

n2=-fliplr(n1);

y=fliplr(x);

u=min(min(n1),min(n2));

t=max(max(n1),max(n2));

r=u:1:t;

z1=[];

temp=1;

for i=1:length(r)

    if(r(i)<min(n1) || r(i)>max(n1))

      z1=[z1 0];

    else

        z1=[z1 x(temp)];

        temp=temp+1;

    end

end

z2=[];

temp=1;

for i=1:length(r)

    if(r(i)<min(n2) || r(i)>max(n2))

      z2=[z2 0];

    else

        z2=[z2 y(temp)];

        temp=temp+1;

    end

end

z3=(z1+z2)/2;%Even part

z=(z1-z2)/2;%Odd part

subplot(3,1,1);

stem(r,z1);

title('Original signal');

subplot(3,1,2);

stem(r,z3);

title('Even signal');

subplot(3,1,3);

stem(r,z);

title('Odd signal');