📄 phaselock.m
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function cout = phaselock(cin,a)%PHASELOCK Phaselock Gabor coefficients% Usage: c=phaselock(c,a);%% PHASELOCK(c,a) phaselocks the Gabor coefficients c. The coefficient must% have been obtained from a DGT with parameter a.%% Phaselocking the coefficients modifies them so as if they were obtained% from a time-invariant Gabor system. A filter bank produces phase locked% coefficients.%% Phaselocking of Gabor coefficients correspond to the following transform:% Consider a signal f of length L and define N=L/a and b=L/M.% The output from c=PHASELOCK(DGT(f,g,a,M),a) is given by% % L-1 % c(m+1,n+1) = sum f(l+1)*exp(-2*pi*i*(m*b-n*a)*l/L)*conj(g(l-a*n+1)), % l=0 % % where m=0,...,M-1 and n=0,...,N-1 and l-an is computed modulo L.% 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/>.%% SEE ALSO: DGT IPHASELOCK SYMPHASE%%R puc95% AUTHORS : Peter Balazs% Peter Soendergaard.error(nargchk(2,2,nargin));if (prod(size(a))~=1 || ~isnumeric(a)) error('a must be a scalar');end;if rem(a,1)~=0 error('a must be an integer');end;M=size(cin,1);N=size(cin,2);L=N*a;b=L/M;if rem(b,1)~=0 error('Lattice error. The a parameter is probably incorrect.');end;TimeInd = (0:(N-1))*a;FreqInd = (0:(M-1))/M;phase = FreqInd'*TimeInd;phase = exp(2*i*pi*phase);% Handle multisignalscout=zeros(size(cin));for w=1:size(cin,3) cout(:,:,w) = cin(:,:,w).*phase;end;
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