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function [h,g,a,info] = wfilt_dgrid(N)
%-*- texinfo -*-
%@deftypefn {Function} wfilt_dgrid
%@verbatim
%WFILT_DGRID Dense GRID framelets (tight frame, symmetric)
% Usage: [h,g,a] = wfilt_dgrid(N);
%
% [h,g,a]=WFILT_DGRID(N) computes Dense GRID framelets. Redundancy
% equal to 2.
%
% Examples:
% ---------
% :
%
% wfiltinfo('dgrid3');
%
% References:
% A. Abdelnour. Dense grid framelets with symmetric lowpass and bandpass
% filters. In Signal Processing and Its Applications, 2007. ISSPA 2007.
% 9th International Symposium on, volume 172, pages 1--4, 2007.
%
%
%
%@end verbatim
%@strong{Url}: @url{http://ltfat.github.io/doc/wavelets/wfilt_dgrid.html}
%@end deftypefn
% Copyright (C) 2005-2016 Peter L. Soendergaard <peter@sonderport.dk>.
% This file is part of LTFAT version 2.3.1
%
% This program is free software: you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
%
% This program is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with this program. If not, see <http://www.gnu.org/licenses/>.
% AUTHOR: Zdenek Prusa
switch(N)
case 1
garr = [
0 0 0 0
-sqrt(2)/32 -sqrt(2)/32 0.0104677975 0
0 -2*sqrt(2)/32 0.0370823430 0.0104677975
9*sqrt(2)/32 7*sqrt(2)/32 0.0651503417 0.0370823430
16*sqrt(2)/32 0 0.0897493772 0.0651503417
9*sqrt(2)/32 -7*sqrt(2)/32 -0.575618139 0.0897493772
0 2*sqrt(2)/32 0.3731682798 -0.575618139
-sqrt(2)/32 sqrt(2)/32 0 0.3731682798
];
offset = [-4,-4,-6,-6];
case 2
garr = [
-5*sqrt(2)/256 -5*sqrt(2)/256 0.0422028267 0
-7*sqrt(2)/256 23*sqrt(2)/256 0.0784808462 0.0422028267
35*sqrt(2)/256 -13*sqrt(2)/256 0.0274495253 0.0784808462
105*sqrt(2)/256 -41*sqrt(2)/256 -0.1272844093 0.0274495253
105*sqrt(2)/256 41*sqrt(2)/256 -0.4611848140 -0.1272844093
35*sqrt(2)/256 13*sqrt(2)/256 0.5488035631 -0.4611848140
-7*sqrt(2)/256 -23*sqrt(2)/256 -0.1084675382 0.5488035631
-5*sqrt(2)/256 5*sqrt(2)/256 0 -0.1084675382
];
offset = [-4,-4,-4,-4];
case 3
garr = [
-7*sqrt(2)/1024 -7*sqrt(2)/1024 0.0019452732 0
-27*sqrt(2)/1024 43*sqrt(2)/1024 -0.0020062621 0.0019452732
0 -80*sqrt(2)/1024 0.0070362139 -0.0020062621
168*sqrt(2)/1024 8*sqrt(2)/1024 -0.0305577537 0.0070362139
378*sqrt(2)/1024 138*sqrt(2)/1024 -0.1131305218 -0.0305577537
378*sqrt(2)/1024 -138*sqrt(2)/1024 -0.0700905154 -0.1131305218
168*sqrt(2)/1024 -8*sqrt(2)/1024 0.0845961181 -0.0700905154
0 80*sqrt(2)/1024 0.6026545312 0.0845961181
-27*sqrt(2)/1024 -43*sqrt(2)/1024 -0.4804470835 0.6026545312
-7*sqrt(2)/1024 7*sqrt(2)/1024 0 -0.4804470835
];
offset = [-5,-5,-7,-7];
otherwise
error('%s: No such Dense Grid Framelet filters.',upper(mfilename));
end;
g = mat2cell(garr,size(garr,1),ones(1,size(garr,2)));
g = cellfun(@(gEl,ofEl) struct('h',gEl,'offset',ofEl),g,num2cell(offset),...
'UniformOutput',0);
h = g;
a = [2;2;2;2];
info.istight=1;
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