% aifig3 -- AI Wavelets
%
% The result of average-interpolating a sequence which
% consists of (-1,1) in a sea of zeros.
%
% 
global Fil2 Fil4 Fil6 Fil8
global EdgeFil2 EdgeFil4 EdgeFil6 EdgeFil8
%
nref = 4;
kronecker = zeros(1,32);
kronecker(17) = -1; kronecker(18) = 1;
%
   a = kronecker;
   for j=1:nref, 
     a = AIRefine(a,2,Fil2,EdgeFil2); 
   end;
   t = 16*(0:(length(a)-1)) ./ length(a) -8;  
   versaplot(221,t,a,[],'3(a) AI Wavelet, D=2',[],[]) ; 
   a2 =a;
%
%  D=4
%
   a = kronecker;
   for j=1:nref, 
     a = AIRefine(a,4,Fil4,EdgeFil4); 
   end;
   versaplot(222,t,a,[],'3(b) AI Wavelet, D=4',[],[]); 
   a4=a;
%
%  D=6
%
   a = kronecker;
   for j=1:nref, 
     a = AIRefine(a,6,Fil6,EdgeFil6); 
   end;
   versaplot(223,t,a,[],'3(c) AI Wavelet, D=6',[],[]) ; 
   a6=a;
%
%  D=8
%
   kronecker = zeros(1,64);
   kronecker(33) = -1; kronecker(34) = 1;
   a = kronecker;
   for j=1:nref, 
     a = AIRefine(a,8,Fil8,EdgeFil8); 
   end;
   t = (0 : (length(a)-1)) .* 32 ./ (length(a)) - 16;
   inx = (t >= -8) & (t < 8); a8=a;
   versaplot(224,t(inx),a(inx),[],'3(d) AI Wavelet, D=8',[],[])
    
    
  %%  Part of Wavelab Version 850%  Built Tue Jan  3 13:20:41 EST 2006%  This is Copyrighted Material%  For Copying permissions see COPYING.m%  Comments? e-mail wavelab@stat.stanford.edu