% surrogate_3d_3d
%
% This is the main program of the Iterative Amplitude Adapted Fourier
% Transform (IAAFT) method to make surrogate fields. This version makes 3D
% fields based on the statistical properties of 3D fields. The amplitude distribution
% is supposed to be depend on height, i.e. the amplitude distribution is
% adapted seperately for each height level.
%
% The IAAFT method was developped by Schreiber and Schmitz (see e.g. Phys.
% Rev Lett. 77, pp. 635-, 1996) for statistical non-linearity tests for time series.
% This method makes fields that have a specified amplitude distribution and
% power spectral coefficients. It works by iteratively adaptation the amplitude
% distribution and the Fourier coefficients (the phases are not changed in this
% step). Do not use this program without understanding the function
% iaaft_loop_2d_horizontal and tuning its variables to your needs.
% This Matlab version was written by Victor Venema,
% Victor.Venema@uni-bonn.de, http:\\www.meteo.uni-bonn.de\victor, or
% http:\\www.meteo.uni-bonn.de\victor\themes\surrogates\
% for the generation of surrogate cloud fields.
% First version: May 2003.
% This version: December 2003.
% Copyright (C) 2003 Victor Venema
% 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; version 2
% of the License.
%
% 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.
%
% To get a copy of the GNU General Public License look on internet
% or write to the Free Software Foundation, Inc., 59 Temple Place -
% Suite 330, Boston, MA 02111-1307, USA.
% Load data.
[fourier_coeff_3d, sorted_values_prof, x, y, z, template, mean_pdf_profile, no_values_x, no_values_y, no_values_z] = load_3d_data;
% Main iterative loop for 3D-surrogates
[surrogate, error_amplitude, error_spec] = iaaft_loop_3d(fourier_coeff_3d, sorted_values_prof);
template = remove_average_profile(template, -mean_pdf_profile); % Add the mean profile to the 'template', to get the original measurement
surrogate = remove_average_profile(surrogate, -mean_pdf_profile); % Add the mean profile to the surrogate
% plot results
plot_3d_surrogate(x, y, z, template, 'template')
plot_3d_surrogate(x, y, z, surrogate, 'surrogate')