function [h,g,a,info] = wfiltdt_optsym(N)
%WFILTDT_OPTSYM Optimizatized Symmetric Self-Hilbertian Filters
%
% Usage: [h,g,a] = wfiltdt_optsym(N);
%
% [h,g,a]=WFILTDT_OPTSYM(N) with N in {1,2,3} returns filters
% suitable for dual-tree complex wavelet transform with optimized
% symmetry.
%
% Examples:
% ---------
% :
% wfiltdtinfo('optsym3');
%
% References:
% B. Dumitrescu, I. Bayram, and I. W. Selesnick. Optimization of
% symmetric self-hilbertian filters for the dual-tree complex wavelet
% transform. IEEE Signal Process. Lett., 15:146--149, 2008.
%
%
%
% Url: http://ltfat.github.io/doc/wavelets/wfiltdt_optsym.html
% Copyright (C) 2005-2023 Peter L. Soendergaard <peter@sonderport.dk> and others.
% This file is part of LTFAT version 2.6.0
%
% 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
[h(:,1),g(:,1),a,info] = wfilt_optsyma(N);
[h(:,2),g(:,2)] = wfilt_optsymb(N);
% Default first and leaf filters
% They are chosen to be orthonormal near-symmetric here in order not to
% break the orthonormality of the overal representation.
[info.defaultfirst, info.defaultfirstinfo] = fwtinit('symorth1');
[info.defaultleaf, info.defaultleafinfo] = ...
deal(info.defaultfirst,info.defaultfirstinfo);