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## Diff of /deprecated/framematrix.m [000000] .. [ba1662] Maximize Restore

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+function G=framematrix(F,L);
+%FRSYNMATRIX  Frame synthesis operator matrix
+%   Usage: G=framematrix(F,L);
+%
+%   G=frsynmatrix(F,L) returns the matrix representation *G* of the frame
+%   synthesis operator for a frame *F* of length *L*. The frame object *F*
+%   must have been created using |frame|.
+%
+%   The frame synthesis operator matrix contains all the frame atoms as
+%   column vectors. It has dimensions $L \times Ncoef$, where $Ncoef$ is the
+%   number of coefficients. The number of coefficients can be found as
+%   Ncoef=framered(F)*L. This means that the frame matrix is usually
+%   **very** large, and this routine should only be used for small values of
+%   *L*.
+%
+%   The action of the frame analysis operator |frana| is equal to
+%   multiplication with the Hermitean transpose of the frame
+%   matrix. Consider the following simple example:::
+%
+%     L=200;
+%     F=frame('dgt','gauss',10,20);
+%     G=frsynmatrix(F,L);
+%     testsig = randn(L,1);
+%     res = frana(F,testsig)-G'*testsig;
+%     norm(res)
+%
+
+warning(['LTFAT: FRAMEMATRIX has been deprecated and will be removed',...
+         ' in the future releases, please use FRSYNMATRIX instead.']);
+
+if nargin<2
+  error('%s: Too few input parameters.',upper(mfilename));
+end;
+
+Lcheck=framelength(F,L);
+if Lcheck~=L
+    error('%s: Incompatible frame length.',upper(mfilename));
+end;
+
+if F.realinput
+
+    %switch(F.type)
+    %  case 'dgtreal'
+
+    %  This code correctly reproduces the matrix represenation of the
+    %  analysis operator, but not of the synthesis.
+    %
+    %    F2=frame('dgt',F.g,F.a,F.M);
+    %    G2=frsynmatrix(F2,L);
+    %    M2=floor(F.M/2)+1;
+    %    N=L/F.a;
+    %    G=zeros(L,M2*N);
+    %    for n=0:N-1
+    %        G(:,1+n*M2:(n+1)*M2)=G2(:,1+n*F.M:M2+n*F.M);
+    %    end;
+
+    %  otherwise
+        error(['%s: The synthesis operator of real-valued-input frames does is ' ...
+               'non-linear and does not have a matrix represenation.']);
+        %end;
+else
+
+  % Generic code handles all frames where there are no extra coefficients
+  % in the representation
+  Ncoef = framered(F)*L;
+  % sprintf for Octave compatibility
+  assert(abs(Ncoef-round(Ncoef))<1e-3,sprintf('%s: There is a bug. Ncoef=%d should be an integer.',upper(mfilename),Ncoef));
+  Ncoef=round(Ncoef);
+  coef=eye(Ncoef);
+  G = frsyn(F,coef);
+end;
+