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function [data, decimated_time_vector] = demodulate(time_vector,input_data,modulation_frequency,downsample_factor)
%-- Function which performs the demodulation of RF ultrasound signals
%-- Function prototype: [data, decimated_time_vector] = demodulate(time_vector,input_data,modulation_frequency,downsample_factor)
%-- Authors: Alfonso Rodriguez-Molares (alfonso.r.molares@ntnu.no)
%-- Olivier Bernard (olivier.bernard@creatis.insa-lyon.fr)
%-- $Date: 2016/03/01 $
%-- complex envelope
data = hilbert(input_data(:,:)); % Find pre-envelope
%-- demodulate
demodVect = exp(-1i*2*pi*modulation_frequency*time_vector);
%-- reshape
siz = size(input_data);
data = reshape(bsxfun(@times, data, demodVect), siz);
%-- downsampling
assert(downsample_factor==round(downsample_factor),'The downsample factor must be an integer');
deciVect = 1:downsample_factor:siz(1); %-- decimating vector
decimated_time_vector = time_vector(deciVect); %-- resampled time vector
data = data(deciVect,:,:); %-- resampled data
end