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+//Example 5.5

+

+clear;

+clc ;

+close ;

+x = [1,2,2,1,1,2,1,1];

+a=[x(1:4)];

+b=[x(5:8)];

+w=(sqrt(2)-%i*sqrt(2))/2;

+

+//1st iteration=====8 point DFT

+for i=1:4

+    h(i)=a(i)+b(i);

+    g(i)=[a(i)-b(i)]*(w^(i-1))

+end

+

+//2nd iteration=====4 point DFT

+for i=1:2

+    h1(i)=h(i)+h(i+2);

+    g1(i)=[h(i)-h(i+2)]*(w^(2*(i-1)));

+    h2(i)=g(i)+g(i+2);

+    g2(i)=[g(i)-g(i+2)]*(w^(2*(i-1)));

+end

+

+//3rd iteration=====2 point DFT

+y=[zeros(1:8)];

+y(1)=h1(1)+h1(2);

+y(2)=[h1(1)-h1(2)]*(w^0);

+y(3)=g1(1)+g1(2);

+y(4)=[g1(1)-g1(2)]*(w^0);

+y(5)=h2(1)+h2(2);

+y(6)=[h2(1)-h2(2)]*(w^0);

+y(7)=g2(1)+g2(2);

+y(8)=[g2(1)-g2(2)]*(w^0);

+

+//Bit reversed output

+X=y;

+X(2)=y(5);

+X(5)=y(2);

+X(4)=y(7);

+X(7)=y(4);

+//Display sequence X[k] in command window

+disp(X,"X[k]=");

+