% set up parameters 

N = 64;
F = fft(eye(N));
RF = real(F);
IF = imag(F);
mn = -1;
mx  =1;
%Fi = ifft(eye(N));
Fi = inv(F);
RFi = real(Fi);
IFi = imag(Fi);
mni = -1/N;
mxi  =1/N;


for i =1:N 
   figure(1)
   D = RF;
   D(i,:)= mn*ones(1,N);
   subplot(2,2,1)
   imshow(D,[]); 
   title('Analysis matrix (real part)')
   subplot(2,2,2)
   plot(1:N,RF(i,:),'r');
   axis([1,N,mn,mx]);
   title('Analysis waveform (real part)')
   
   D=RFi;  
   D(:,i)= mni*ones(N,1);
   subplot(2,2,3)
   imshow(D,[]); 
   title('Synthesis matrix (real part)')
   subplot(2,2,4)
   plot(1:N,RFi(:,i),'r');
   axis([1,N,mni,mxi]);
   title('Synthesis waveform (real part)')
   drawnow;
   pause(1);


         
   figure(2)
   D = IF;
   D(i,:)= mn*ones(1,N);
   subplot(2,2,1)
   imshow(D,[]); 
   title('Analysis matrix (imaginary part)')
   subplot(2,2,2)
   plot(1:N,IF(i,:),'g');
   axis([1,N,mn,mx]);
   title('Analysis waveform (imaginary part)')
   
   D=IFi;  
   D(:,i)= mni*ones(N,1);
   subplot(2,2,3)
   imshow(D,[]); 
   title('Synthesis matrix (imaginary part)')
   subplot(2,2,4)
   plot(1:N,IFi(:,i),'g');
   axis([1,N,mni,mxi]);
   title('Synthesis waveform (imaginary part)')
   drawnow;
   
   pause(1);
   end;