initial commit

2026-09-18 00:49:09 +09:00 · 2026-08-07 15:56:42 +09:00
commit 91ad25aca9
1012 changed files with 159314 additions and 0 deletions
@@ -0,0 +1,88 @@
+% fract_hanning(outputdim,unmodsize)
+% out = Square array containing a fractional separable Hanning window with
+% DC in upper left corner.
+% outputdim = size of the output array
+% unmodsize = Size of the central array containing no modulation.
+% Creates a square hanning window if unmodsize = 0 (or ommited), otherwise the output array 
+% will contain an array of ones in the center and cosine modulation on the
+% edges, the array of ones will have DC in upper left corner.
+
+% February 8, 2007
+
+% Slight update on August 17, 2009
+% Added a warning
+
+% Copyright (c) 2016, Manuel Guizar Sicairos, James R. Fienup, University of Rochester
+% All rights reserved.
+% 
+% Redistribution and use in source and binary forms, with or without
+% modification, are permitted provided that the following conditions are
+% met:
+% 
+%     * Redistributions of source code must retain the above copyright
+%       notice, this list of conditions and the following disclaimer.
+%     * Redistributions in binary form must reproduce the above copyright
+%       notice, this list of conditions and the following disclaimer in
+%       the documentation and/or other materials provided with the distribution
+%     * Neither the name of the University of Rochester nor the names
+%       of its contributors may be used to endorse or promote products derived
+%       from this software without specific prior written permission.
+% 
+% THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+% AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+% IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+% ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+% LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+% CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+% SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+% INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+% CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+% ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+% POSSIBILITY OF SUCH DAMAGE.
+
+function out = fract_hanning(outputdim,unmodsize);
+
+if nargin > 2,
+    error('Too many input arguments'),
+elseif nargin == 1,
+    unmodsize = 0;
+end
+
+if outputdim < unmodsize,
+    error('Output dimension must be smaller or equal to size of unmodulated window'),
+end
+
+if unmodsize<0,
+    unmodsize = 0;
+    warning('Specified unmodsize<0, setting unmodsize = 0')
+end
+
+N = [0:outputdim-1];
+% N = ifftshift([-floor(outputdim/2):ceil(outputdim/2)-1]);
+% N = [-floor(outputdim/2):ceil(outputdim/2)-1];
+[Nc,Nr] = meshgrid(N,N);
+
+if unmodsize == 0,
+    out = (1+cos(2*pi*Nc/outputdim)).*(1+cos(2*pi*Nr/outputdim))/4;
+else
+    % Columns modulation
+    out = (1+cos(2*pi*(Nc- floor((unmodsize-1)/2) )/(outputdim+1-unmodsize)))/2;
+    if floor((unmodsize-1)/2)>0,
+        out(:,1:floor((unmodsize-1)/2)) = 1;
+    end
+    out(:,floor((unmodsize-1)/2) + outputdim+3-unmodsize:length(N)) = 1;
+    % Row modulation
+    out2 = (1+cos(2*pi*(Nr- floor((unmodsize-1)/2) )/(outputdim+1-unmodsize)))/2;
+    if floor((unmodsize-1)/2)>0,
+        out2(1:floor((unmodsize-1)/2),:) = 1;
+    end
+    out2(floor((unmodsize-1)/2) + outputdim+3-unmodsize:length(N),:) = 1;
+    
+    out = out.*out2;
+end  
+% out = ifftshift(out);
+% one-edge at Nc = floor((unmodsize-1)/2)
+% other-edge at Nc = floor((unmodsize-1)/2) + (outputdim+1-unmodsize)
+%%% FINISH UP THIS CODE TO DO THE LOW PASS RECONSTRUCTION
+
+return;