function red=framered(F);
%FRAMERED Redundancy of a frame
% Usage red=framered(F);
%
% FRAMERED(F) computes the redundancy of a given frame F. If the
% redundancy is larger than 1 (one), the frame transform will produce more
% coefficients than it consumes. If the redundancy is exactly 1 (one),
% the frame is a basis.
%
% Examples:
% ---------
%
% The following simple example shows how to obtain the redundancy of a
% Gabor frame:
%
% F=frame('dgt','gauss',30,40);
% framered(F)
%
% The redundancy of a basis is always one:
%
% F=frame('wmdct','gauss',40);
% framered(F)
%
% See also: frame, frana, framebounds
%
% Url: http://ltfat.github.io/doc/frames/framered.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/>.
complainif_notenoughargs(nargin,1,'FRAMERED');
complainif_notvalidframeobj(F,'FRAMERED');
% .red field is mandatory so no checking here
red=F.red;