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iCAPs/packages/gspbox/filters/gsp_test_duality_coefficient.m
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gsp_test_duality_coefficient.m
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function [ bool ] = gsp_test_duality_coefficient( gcoeff,hcoeff,tol )
%GSP_TEST_DUALITY_COEFFICIENT Test if the coefficient are from dual filters
% Usage: bool = gsp_test_duality_coefficient( gcoeff,hcoeff );
% bool = gsp_test_duality_coefficient( gcoeff,hcoeff,tol );
%
% Input parameters:
% gcoeff : coefficient of the filter 1 (matrix N x M )
% hcoeff : coefficinet of the filter 2 (matrix N x M )
% tol : tolerance for the test (default 1e-5)
%
% Ouput paramters:
% bool : boolean
%
% This function test if two discrete filterbanks are dual. Each filter is
% a culumn in the matrix gcoeff or hcoeff. M is the number of
% filters and N the number of coefficients (size of the graph signal).
%
%
% Url: http://lts2research.epfl.ch/gsp/doc/filters/gsp_test_duality_coefficient.php
% Copyright (C) 2013-2016 Nathanael Perraudin, Johan Paratte, David I Shuman.
% This file is part of GSPbox version 0.7.0
%
% 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/>.
% If you use this toolbox please kindly cite
% N. Perraudin, J. Paratte, D. Shuman, V. Kalofolias, P. Vandergheynst,
% and D. K. Hammond. GSPBOX: A toolbox for signal processing on graphs.
% ArXiv e-prints, Aug. 2014.
% http://arxiv.org/abs/1408.5781
% Author: Nathanael Perraudin
% Date : 13 july 2014
% testing: test_dual
if nargin<3
tol = 1e-5;
end
v = sum(gcoeff.*hcoeff,2);
A = min(v);
B = max(v);
bool = ( (A-B) / ((A+B)/2) ) < tol;
end
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