The Auditory Modeling Toolbox
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EXP_WIERSTORF2013 - Figures from Wierstorf (2013)
Program code:
function output = exp_wierstorf2013(varargin)
%EXP_WIERSTORF2013 Figures from Wierstorf (2013)
% Usage: output = exp_wierstorf2013(flag)
%
% EXP_WIERSTORF2013(flag) reproduces the results for the figure given
% by flag from the Wierstorf (2013) paper. It will also plot the
% results. The format of its output depends on the chosen figure.
% Note that the original figures in the paper are not plotted with Matlab, but
% with gnuplot and may look a little bit different.
%
% The Sound-Field-Synthesis Toolbox is required.
%
% The following flags can be specified;
%
% 'plot' plot the output of the experiment. This is the default.
%
% 'noplot' Don't plot, only return data.
%
% 'auto' Re-calculate the file if it does not exist. Return 1 if the
% file exist, otherwise 0. This is the default
%
% 'refresh' Always recalculate the file.
%
% 'cached' Always use the cached version. Throws an error if the
% file does not exist.
%
% 'fig1' Reproduce Fig.1 from Wierstorf (2013). The localization error
% for a typical stereophony setup is calculated and shown for the
% whole listening are, sampled with 21x21 point.
%
% 'fig3' Simulations of the sound field for Wave Field Synthesis for
% a mono-frequent virtual plane wave with three different
% frequencies of 1kHz, 2kHz, 5kHz. In addition a spatio-temporal
% impulse response of the sound field for a broadband plane wave
% is shown at the time 4.8ms after its start.
%
% 'fig6' Results from an experiment comparing the localization accuracy
% for a real point source (loudspeaker) and a simulated point
% source (binaural synthesis).
%
% 'fig7' Results from a localization experiment for a virtual point
% source in Wave Field Synthesis for different positions in the
% listening area (data are the same as in Fig.10). The line is
% always starting from a listener position and points towards the
% direction the listener perceived the auditory event.
%
% 'fig8' Mapping of ITD values in the first twelve frequency channels to
% the corresponding azimuth angles in the range -90deg to 90deg.
% The ITD values are calculated from an HRTF data base with the
% binaural model after Dietz.
%
% 'fig9' Deviation of the predicted sound source location with the
% mapping function from Fig.8 for the same HRTF data set as in
% Fig.8.
%
% 'fig10' Results from a localization experiment for a virtual point
% source in Wave Field Synthesis for different positions in the
% listening area (data points are the same as in Fig.6). The
% signals were simulated by binaural synthesis and given also to
% the Dietz binaural model to predict the localization. The model
% results are shown as lines. Three different loudspeaker array
% setups were used.
%
% 'fig11a' Prediction of the localization for a virtual point source in
% Wave Field Synthesis in the whole listening area for a linear
% loudspeaker array.
%
% 'fig11b' Prediction of the localization for a virtual plane wave in Wave
% Field Synthesis in the whole listening area for a linear
% loudspeaker array.
%
% 'fig12a' Prediction of the localization for a virtual point source in
% Wave Field Synthesis in the whole listening area for a circular
% loudspeaker array.
%
% 'fig12b' Prediction of the localization for a virtual plane wave in Wave
% Field Synthesis in the whole listening area for a circular
% loudspeaker array.
%
% If no flag is given, the function will print the list of valid flags.
%
% Examples:
% ---------
%
% To display Figure 1 use :
%
% exp_wierstorf2013('fig1');
%
% To display Figure 3 use :
%
% exp_wierstorf2013('fig3');
%
% To display Figure 6 use :
%
% exp_wierstorf2013('fig6');
%
% To display Figure 7 use :
%
% exp_wierstorf2013('fig7');
%
% To display Figure 8 use :
%
% exp_wierstorf2013('fig8');
%
% To display Figure 9 use :
%
% exp_wierstorf2013('fig9');
%
% To display Figure 10 use :
%
% exp_wierstorf2013('fig10');
%
% To display Figure 11a use :
%
% exp_wierstorf2013('fig11a');
%
% To display Figure 11b use :
%
% exp_wierstorf2013('fig11b');
%
% To display Figure 12a use :
%
% exp_wierstorf2013('fig12a');
%
% To display Figure 12b use :
%
% exp_wierstorf2013('fig12b');
%
% References:
% H. Wierstorf, A. Raake, and S. Spors. Binaural assessment of
% multi-channel reproduction. In J. Blauert, editor, The technology of
% binaural listening, chapter 10. Springer, Berlin-Heidelberg-New York
% NY, 2013.
%
%
% Url: http://amtoolbox.sourceforge.net/data/amt-test/htdocs/amt-0.9.8/doc/experiments/exp_wierstorf2013.php
% Copyright (C) 2009-2015 Piotr Majdak and Peter L. Søndergaard.
% This file is part of AMToolbox version 0.9.8
%
% 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/>.
% AUTHOR: Hagen Wierstorf
definput.import={'amtcache'};
definput.flags.type={'missingflag','fig1','fig3','fig6','fig7','fig8', ...
'fig9','fig10','fig11a','fig11b','fig12a','fig12b'};
definput.flags.plot={'plot','noplot'};
[flags,keyvals] = ltfatarghelper({},definput,varargin);
if flags.do_missingflag
flagnames=[sprintf('%s, ',definput.flags.type{2:end-2}),...
sprintf('%s or %s',definput.flags.type{end-1},definput.flags.type{end})];
error('%s: You must specify one of the following flags: %s.',upper(mfilename),flagnames);
end;
% Checking for the Sound-Field-Synthesis Toolbox
if ~exist('SFS_start') | ~strcmp(SFS_version,'1.0.0')
error(['%s: you need to install the Sound-Field-Synthesis Toolbox.\n', ...
'You can download it at https://github.com/sfstoolbox/sfs.\n', ...
'You need version 1.0.0 of the Toolbox (commit 3730bc0).'], ...
upper(mfilename));
else
SFS_start;
end
%% ------ F I G U R E 1 -------------------------------------------------
if flags.do_fig1
% listening area
X = [-2 2];
Y = [-3.15 -0.15];
% orientation of the listener (always to the front)
phi = pi/2;
% position of the virtual point source
xs = [0 0];
src = 'ps';
% intra-loudspeaker distance on the stereo setup
L = 2;
output = amtcache('get','fig1',flags.cachemode);
if isempty(output),
[loc_error,aud_event,~,xaxis,yaxis,x0] = ...
wierstorf2013(X,Y,phi,xs,src,L,'stereo');
output.loc_error = loc_error;
output.aud_event = aud_event;
output.xaxis = xaxis;
output.yaxis = yaxis;
output.x0 = x0;
amtcache('set','fig1',output);
end;
if flags.do_plot
% ------ Plotting ------
figure;
[u,v,~] = pol2cart(rad(output.aud_event+90),ones(size(output.aud_event)), ...
zeros(size(output.aud_event)));
quiver(output.xaxis,output.yaxis,u',v',0.5);
axis([-2.13 2.13 -3.3 0.2])
conf.plot.realloudspeakers = true;
conf.plot.lssize = 0.16;
draw_loudspeakers(output.x0,[1 1 0],conf);
xlabel('x/m');
ylabel('y/m');
end;
%% ------ F I G U R E 3 ------------------------------------------------
elseif flags.do_fig3
% listening area
X = [-2 2];
Y = [-2 2];
Z = 0;
% circular array with 56 loudspeakers
conf.secondary_sources.geometry = 'circle';
conf.secondary_sources.size = 3;
conf.secondary_sources.number = 56;
conf.secondary_sources.center = [0 0 0];
conf.secondary_sources.x0 = [];
conf.xref = [0 0 0];
% plane wave travelling upwards
xs = [0 1 0];
src = 'pw';
% other neccessary settings
conf.c = 343;
conf.fs = 44100;
conf.showprogress = false;
conf.debug = 0;
conf.tmpdir = '/tmp/sfs';
conf.resolution = 300;
conf.phase = 0;
conf.N = 1024;
conf.usenormalisation = true;
conf.usebandpass = false;
conf.bandpassflow = 0;
conf.bandpassfhigh = 20000;
conf.dimension = '2.5D';
conf.driving_functions = 'default';
conf.usetapwin = true;
conf.tapwinlen = 0.3;
conf.wfs.usehpre = false;
conf.usefracdelay = false;
conf.plot.useplot = false;
conf.plot.usegnuplot = false;
conf.plot.usedb = false;
conf.plot.colormap = 'gray';
conf.plot.loudspeakers = true;
conf.plot.realloudspeakers = true;
conf.plot.lssize = 0.16; % m
conf.plot.cmd = '';
conf.plot.mode = 'monitor';
conf.plot.size = [540 404];
conf.plot.size_unit = 'px';
conf.plot.caxis = '';
conf.plot.usefile = false;
conf.plot.file = '';
output = amtcache('get','fig3',flags.cachemode);
if isempty(output)
% get secondary sources and tapering window for plotting
x0 = secondary_source_positions(conf);
% disable inactive loudspeakers for plot
x0(:,7) = [zeros(1,29) ones(1,27)];
% (a)
f = 1000;
[P_a,xaxis,yaxis,zaxis] = sound_field_mono_wfs(X,Y,Z,xs,src,f,conf);
% (b)
f = 2000;
P_b = sound_field_mono_wfs(X,Y,Z,xs,src,f,conf);
% (c)
f = 5000;
P_c = sound_field_mono_wfs(X,Y,Z,xs,src,f,conf);
% (d)
t = 212;
P_d = sound_field_imp_wfs(X,Y,Z,xs,src,t,conf);
output.P_a = P_a;
output.P_b = P_b;
output.P_c = P_c;
output.P_d = P_d;
output.xaxis = xaxis;
output.yaxis = yaxis;
output.zaxis = zaxis;
output.x0 = x0;
amtcache('set','fig3',output);
end;
if flags.do_plot
% ------ Plotting ------
% (a)
plot_sound_field(-output.P_a,output.xaxis,output.yaxis,output.zaxis,output.x0,conf);
axis([X(1) X(2) Y(1) Y(2)]);
colorbar;
xlabel('x/m');
ylabel('y/m');
title('(a) f_{pw} = 1kHz');
% (b)
plot_sound_field(-output.P_b,output.xaxis,output.yaxis,output.zaxis,output.x0,conf);
axis([X(1) X(2) Y(1) Y(2)]);
colorbar;
xlabel('x/m');
ylabel('y/m');
title('(b) f_{pw} = 2kHz');
% (c)
plot_sound_field(-output.P_c,output.xaxis,output.yaxis,output.zaxis,output.x0,conf);
axis([X(1) X(2) Y(1) Y(2)]);
colorbar;
xlabel('x/m');
ylabel('y/m');
title('(c) f_{pw} = 5kHz');
% (d)
conf.plot.usedb = 1;
plot_sound_field(output.P_d,output.xaxis,output.yaxis,output.zaxis,output.x0,conf);
axis([X(1) X(2) Y(1) Y(2)]);
colorbar;
xlabel('x/m');
ylabel('y/m');
title('(d) t_{pw} = 4.8ms');
end
%% ------ F I G U R E 6 -------------------------------------------------
elseif flags.do_fig6
if flags.do_plot
[data,description] = data_wierstorf2013('fig6','plot');
else
[data,description] = data_wierstorf2013('fig6','noplot');
end
output.data = data;
output.description = description;
%% ------ F I G U R E 7 -------------------------------------------------
elseif flags.do_fig7
[data,description] = data_wierstorf2013('fig7','noplot');
output.data = data;
output.description = description;
if flags.do_plot
conf.secondary_sources.geometry = 'linear';
conf.secondary_sources.size = 2.85;
conf.secondary_sources.center = [0 0 0];
conf.secondary_sources.x0 = [];
conf.plot.realloudspeakers = true;
conf.plot.lssize = 0.16;
figure;
subplot(1,3,1);
conf.secondary_sources.number = 3;
quiver(data(:,1),data(:,2),data(:,3),data(:,4),25,'.b');
hold on;
draw_loudspeakers(secondary_source_positions(conf),conf);
hold on;
plot(0,1,'*r');
hold off;
title(description{3,1});
axis([-2.13 1.63 -2.2 1.2]);
xlabel('x/m');
ylabel('y/m');
subplot(1,3,2);
conf.secondary_sources.number = 8;
quiver(data(:,1),data(:,2),data(:,5),data(:,6),25,'.b');
hold on;
draw_loudspeakers(secondary_source_positions(conf),conf);
hold on;
plot(0,1,'*r');
hold off;
title(description{5,1});
axis([-2.13 1.63 -2.2 1.2]);
xlabel('x/m');
ylabel('y/m');
subplot(1,3,3);
conf.secondary_sources.number = 15;
quiver(data(:,1),data(:,2),data(:,7),data(:,8),25,'.b');
hold on;
draw_loudspeakers(secondary_source_positions(conf),conf);
hold on;
plot(0,1,'*r');
hold off;
title(description{7,1});
axis([-2.13 1.63 -2.2 1.2]);
xlabel('x/m');
ylabel('y/m');
end
%% ------ F I G U R E 8 -------------------------------------------------
elseif flags.do_fig8
[phi,itd] = amtcache('get','fig8', flags.cachemode);
if isempty(phi)
% Sound Field Synthesis Toolbox settings
conf.ir.useinterpolation = true;
conf.fs = 44100;
% load HRTFs, see:
% https://dev.qu.tu-berlin.de/projects/measurements/wiki/2010-11-kemar-anechoic
irs=amtload('wierstorf2013','QU_KEMAR_anechoic_3m.mat');
irs=irs.irs;
% generate noise signal
sig_noise = noise(44100/5,1,'white');
% get only the -90 to 90 degree part of the hrtf set
idx = (( irs.apparent_azimuth>-pi/2 & irs.apparent_azimuth<pi/2 & ...
irs.apparent_elevation==0 ));
irs = slice_irs(irs,idx);
for ii=1:length(irs.apparent_azimuth)
% generate noise coming from the given direction
ir = get_ir(irs,[irs.apparent_azimuth(ii) 0 irs.distance],'spherical',conf);
sig = auralize_ir(ir,sig_noise,1,conf);
% calculate binaural parameters
[fine,cfreqs,ild_tmp] = dietz2011(sig,44100,'fhigh',1400);
% unwrap ITD
itd_tmp = dietz2011unwrapitd(fine.itd,ild_tmp,fine.f_inst,2.5);
% calculate the mean about time of the binaural parameters and store
% them
itd(ii,:) = median(itd_tmp,1);
phi(ii) = deg(irs.apparent_azimuth(ii));
end
amtcache('set', 'fig8', phi,itd);
end;
output.phi = phi;
output.itd = itd;
if flags.do_plot
% ------ Plotting ------
figure;
plot(phi,itd.*1000);
axis([-90 0 0 0.9])
xlabel('phi_{sound event}/deg');
ylabel('interaural time difference/ms');
end;
end;
%% ------ F I G U R E 9 -------------------------------------------------
if flags.do_fig9
[phi_auditory_event,phi_sound_event] = amtcache('get', 'fig9', flags.cachemode);
if isempty(phi_auditory_event)
% Sound Field Synthesis Toolbox settings
conf.ir.useinterpolation = true;
conf.fs = 44100;
% load lookup table
lookup = data_wierstorf2013('itd2anglelookuptable');
% load HRTFs, see:
irs=amtload('wierstorf2013','QU_KEMAR_anechoic_3m.mat');
irs=irs.irs;
% generate noise signal
sig_noise = noise(44100/5,1,'white');
% get only the -90 to 90 degree part of the hrtf set
idx = (( irs.apparent_azimuth>-pi/2 & irs.apparent_azimuth<pi/2 & ...
irs.apparent_elevation==0 ));
irs = slice_irs(irs,idx);
for ii=1:length(irs.apparent_azimuth)
% generate noise coming from the given direction
ir = get_ir(irs,[irs.apparent_azimuth(ii) 0 irs.distance], ...
'spherical',conf);
sig = auralize_ir(ir,sig_noise,1,conf);
phi_auditory_event(ii) = wierstorf2013estimateazimuth(sig,lookup,'dietz2011');
phi_sound_event(ii) = deg(irs.apparent_azimuth(ii));
end
amtcache('set', 'fig9', phi_auditory_event,phi_sound_event);
end;
output.phi_auditory_event = phi_auditory_event;
output.phi_sound_event = phi_sound_event;
if flags.do_plot
% ------ Plotting ------
figure;
plot(phi_sound_event,phi_auditory_event-phi_sound_event);
axis([-90 90 -3 3])
xlabel('phi_{sound event}/deg');
ylabel('phi_{auditory event}-phi_{sound event}/deg');
end;
end
%% ------ F I G U R E 10 ------------------------------------------------
if flags.do_fig10
% orientation of the listener (always to the front)
phi = pi/2;
% position of the virtual point source
xs = [0 1];
src = 'ps';
% array size
L = 2.85;
% Y=1.5m
X = -1.75:0.25:0;
Y1 = -1.5;
Y2 = -2.0;
output = amtcache('get', 'fig10', flags.cachemode);
if isempty(output)
for ii=1:length(X)
amtdisp([num2str(ii) ' of ' num2str(length(X))],'progress');
for jj=1:5
model_3_Y1(ii,jj) = wierstorf2013(X(ii),Y1,phi,xs,src,L,'wfs', ...
'resolution',1, ...
'nls',3, ...
'array','linear', ...
'showprogress',0);
model_3_Y2(ii,jj) = wierstorf2013(X(ii),Y2,phi,xs,src,L,'wfs', ...
'resolution',1, ...
'nls',3, ...
'array','linear', ...
'showprogress',0);
model_8_Y1(ii,jj) = wierstorf2013(X(ii),Y1,phi,xs,src,L,'wfs', ...
'resolution',1, ...
'nls',8, ...
'array','linear', ...
'showprogress',0);
model_8_Y2(ii,jj) = wierstorf2013(X(ii),Y2,phi,xs,src,L,'wfs', ...
'resolution',1, ...
'nls',8, ...
'array','linear', ...
'showprogress',0);
model_15_Y1(ii,jj) = wierstorf2013(X(ii),Y1,phi,xs,src,L,'wfs', ...
'resolution',1, ...
'nls',15, ...
'array','linear', ...
'showprogress',0);
model_15_Y2(ii,jj) = wierstorf2013(X(ii),Y2,phi,xs,src,L,'wfs', ...
'resolution',1, ...
'nls',15, ...
'array','linear', ...
'showprogress',0);
end
end
output.model_3_Y1 = model_3_Y1;
output.model_3_Y2 = model_3_Y2;
output.model_8_Y1 = model_8_Y1;
output.model_8_Y2 = model_8_Y2;
output.model_15_Y1 = model_15_Y1;
output.model_15_Y2 = model_15_Y2;
amtcache('set', 'fig10', output);
end
% get the human data
[data,description] = data_wierstorf2013('fig10','noplot');
output.data = data;
output.description = description;
if flags.do_plot
figure;
subplot(3,1,1)
errorbar(data(:,1)-0.025,data(:,2),data(:,3),'ob'); hold on;
errorbar(data(:,1)+0.025,data(:,8),data(:,9),'or');
plot(data(:,1),mean(output.model_3_Y1,2),'-b');
plot(data(:,1),mean(output.model_3_Y2,2),'-r');
axis([-1.85 0.125 -16 7]);
legend(description{2,1},description{8,1});
title(description{2,2});
xlabel(description{1,3});
ylabel(description{2,3});
subplot(3,1,2)
errorbar(data(:,1)-0.025,data(:,4),data(:,5),'ob'); hold on;
errorbar(data(:,1)+0.025,data(:,10),data(:,11),'or');
plot(data(:,1),mean(output.model_8_Y1,2),'-b');
plot(data(:,1),mean(output.model_8_Y2,2),'-r');
axis([-1.85 0.125 -16 7]);
legend(description{4,1},description{10,1});
title(description{4,2});
xlabel(description{1,3});
ylabel(description{2,3});
subplot(3,1,3)
errorbar(data(:,1)-0.025,data(:,6),data(:,7),'ob'); hold on;
errorbar(data(:,1)+0.025,data(:,12),data(:,13),'or');
plot(data(:,1),mean(output.model_15_Y1,2),'-b');
plot(data(:,1),mean(output.model_15_Y2,2),'-r');
axis([-1.85 0.125 -16 7]);
legend(description{6,1},description{12,1});
title(description{6,2});
xlabel(description{1,3});
ylabel(description{2,3});
end
end
%% ------ F I G U R E 11a -----------------------------------------------
if flags.do_fig11a
% listening area
X = [-2 2];
Y = [-3.15 -0.15];
% orientation of the listener (always to the front)
phi = pi/2;
% position of the virtual point source
xs = [0 1];
src = 'ps';
% array size
L = 2.85;
output = amtcache('get', 'fig11a', flags.cachemode);
if isempty(output)
amtdisp('Warning: this will take a long time!','progress');
% 3 speakers
amtdisp('Calculating figure 1/6','progress');
[~,aud_event_3,~,xaxis_31,yaxis_31,x0_3] = ...
wierstorf2013(X,Y,phi,xs,src,L,'wfs', ...
'resolution',31, ...
'nls',3, ...
'array','linear');
amtdisp('Calculating figure 2/6','progress');
[loc_error_3,~,~,xaxis_135,yaxis_135] = ...
wierstorf2013(X,Y,phi,xs,src,L,'wfs', ...
'resolution',135, ...
'nls',3, ...
'array','linear');
% 8 speakers
amtdisp('Calculating figure 3/6','progress');
[~,aud_event_8,~,~,~,x0_8] = ...
wierstorf2013(X,Y,phi,xs,src,L,'wfs', ...
'resolution',31, ...
'nls',8, ...
'array','linear');
amtdisp('Calculating figure 4/6','progress');
loc_error_8 = ...
wierstorf2013(X,Y,phi,xs,src,L,'wfs', ...
'resolution',135, ...
'nls',8, ...
'array','linear');
% 15 speakers
amtdisp('Calculating figure 5/6','progress');
[~,aud_event_15,~,~,~,x0_15] = ...
wierstorf2013(X,Y,phi,xs,src,L,'wfs', ...
'resolution',31, ...
'nls',15, ...
'array','linear');
amtdisp('Calculating figure 6/6','progress');
loc_error_15 = ...
wierstorf2013(X,Y,phi,xs,src,L,'wfs', ...
'resolution',135, ...
'nls',15, ...
'array','linear');
output.loc_error_3 = loc_error_3;
output.loc_error_8 = loc_error_8;
output.loc_error_15 = loc_error_15;
output.aud_event_3 = aud_event_3;
output.aud_event_8 = aud_event_8;
output.aud_event_15 = aud_event_15;
output.x0_3 = x0_3;
output.x0_8 = x0_8;
output.x0_15 = x0_15;
output.xaxis_31 = xaxis_31;
output.yaxis_31 = yaxis_31;
output.xaxis_135 = xaxis_135;
output.yaxis_135 = yaxis_135;
amtcache('set', 'fig11a', output);
end;
if flags.do_plot
% ------ Plotting ------
conf.plot.realloudspeakers = true;
conf.plot.lssize = 0.16;
figure;
subplot(2,3,1);
[u,v,~] = pol2cart(rad(output.aud_event_3+90),ones(size(output.aud_event_3)), ...
zeros(size(output.aud_event_3)));
quiver(output.xaxis_31,output.yaxis_31,u',v',0.5);
axis([-2.13 2.13 -3.3 0.2])
draw_loudspeakers(output.x0_3,[1 1 0],conf);
xlabel('x/m');
ylabel('y/m');
subplot(2,3,2);
[u,v,~] = pol2cart(rad(output.aud_event_8+90),ones(size(output.aud_event_8)), ...
zeros(size(output.aud_event_8)));
quiver(output.xaxis_31,output.yaxis_31,u',v',0.5);
axis([-2.13 2.13 -3.3 0.2])
draw_loudspeakers(output.x0_8,[1 1 0],conf);
xlabel('x/m');
ylabel('y/m');
subplot(2,3,3);
[u,v,~] = pol2cart(rad(output.aud_event_15+90),ones(size(output.aud_event_15)), ...
zeros(size(output.aud_event_15)));
quiver(output.xaxis_31,output.yaxis_31,u',v',0.5);
axis([-2.13 2.13 -3.3 0.2])
draw_loudspeakers(output.x0_15,[1 1 0],conf);
xlabel('x/m');
ylabel('y/m');
subplot(2,3,4)
imagesc(output.xaxis_135,output.yaxis_135,abs(output.loc_error_3'));
turn_imagesc;
axis([-2.13 2.13 -3.3 0.2])
draw_loudspeakers(output.x0_3,[1 1 0],conf);
xlabel('x/m');
ylabel('y/m');
subplot(2,3,5)
imagesc(output.xaxis_135,output.yaxis_135,abs(output.loc_error_8'));
turn_imagesc;
axis([-2.13 2.13 -3.3 0.2])
draw_loudspeakers(output.x0_8,[1 1 0],conf);
xlabel('x/m');
ylabel('y/m');
subplot(2,3,6)
imagesc(output.xaxis_135,output.yaxis_135,abs(output.loc_error_15'));
turn_imagesc;
axis([-2.13 2.13 -3.3 0.2])
draw_loudspeakers(output.x0_15,[1 1 0],conf);
xlabel('x/m');
ylabel('y/m');
end;
end
%% ------ F I G U R E 11b -----------------------------------------------
if flags.do_fig11b
% listening area
X = [-2 2];
Y = [-3.15 -0.15];
% orientation of the listener (always to the front)
phi = pi/2;
% position of the virtual point source
xs = [0 -1];
src = 'pw';
% array size
L = 2.85;
output = amtcache('get', 'fig11b', flags.cachemode);
if isempty(output)
amtdisp('Warning: this will take a long time!','progress');
% 3 speakers
amtdisp('Calculating figure 1/6','progress');
[~,aud_event_3,~,xaxis_31,yaxis_31,x0_3] = ...
wierstorf2013(X,Y,phi,xs,src,L,'wfs', ...
'resolution',31, ...
'nls',3, ...
'array','linear');
amtdisp('Calculating figure 2/6','progress');
[loc_error_3,~,~,xaxis_135,yaxis_135] = ...
wierstorf2013(X,Y,phi,xs,src,L,'wfs', ...
'resolution',135, ...
'nls',3, ...
'array','linear');
% 8 speakers
amtdisp('Calculating figure 3/6','progress');
[~,aud_event_8,~,~,~,x0_8] = ...
wierstorf2013(X,Y,phi,xs,src,L,'wfs', ...
'resolution',31, ...
'nls',8, ...
'array','linear');
amtdisp('Calculating figure 4/6','progress');
loc_error_8 = ...
wierstorf2013(X,Y,phi,xs,src,L,'wfs', ...
'resolution',135, ...
'nls',8, ...
'array','linear');
% 15 speakers
amtdisp('Calculating figure 5/6','progress');
[~,aud_event_15,~,~,~,x0_15] = ...
wierstorf2013(X,Y,phi,xs,src,L,'wfs', ...
'resolution',31, ...
'nls',15, ...
'array','linear');
amtdisp('Calculating figure 6/6','progress');
loc_error_15 = ...
wierstorf2013(X,Y,phi,xs,src,L,'wfs', ...
'resolution',135, ...
'nls',15, ...
'array','linear');
output.loc_error_3 = loc_error_3;
output.loc_error_8 = loc_error_8;
output.loc_error_15 = loc_error_15;
output.aud_event_3 = aud_event_3;
output.aud_event_8 = aud_event_8;
output.aud_event_15 = aud_event_15;
output.x0_3 = x0_3;
output.x0_8 = x0_8;
output.x0_15 = x0_15;
output.xaxis_31 = xaxis_31;
output.yaxis_31 = yaxis_31;
output.xaxis_135 = xaxis_135;
output.yaxis_135 = yaxis_135;
amtcache('set', 'fig11b', output);
end;
if flags.do_plot
% ------ Plotting ------
conf.plot.realloudspeakers = true;
conf.plot.lssize = 0.16;
figure;
subplot(2,3,1);
[u,v,~] = pol2cart(rad(output.aud_event_3+90),ones(size(output.aud_event_3)), ...
zeros(size(output.aud_event_3)));
quiver(output.xaxis_31,output.yaxis_31,u',v',0.5);
axis([-2.13 2.13 -3.3 0.2])
draw_loudspeakers(output.x0_3,[1 1 0],conf);
xlabel('x/m');
ylabel('y/m');
subplot(2,3,2);
[u,v,~] = pol2cart(rad(output.aud_event_8+90),ones(size(output.aud_event_8)), ...
zeros(size(output.aud_event_8)));
quiver(output.xaxis_31,output.yaxis_31,u',v',0.5);
axis([-2.13 2.13 -3.3 0.2])
draw_loudspeakers(output.x0_8,[1 1 0],conf);
xlabel('x/m');
ylabel('y/m');
subplot(2,3,3);
[u,v,~] = pol2cart(rad(output.aud_event_15+90),ones(size(output.aud_event_15)), ...
zeros(size(output.aud_event_15)));
quiver(output.xaxis_31,output.yaxis_31,u',v',0.5);
axis([-2.13 2.13 -3.3 0.2])
draw_loudspeakers(output.x0_15,[1 1 0],conf);
xlabel('x/m');
ylabel('y/m');
subplot(2,3,4)
imagesc(output.xaxis_135,output.yaxis_135,abs(output.loc_error_3'));
turn_imagesc;
axis([-2.13 2.13 -3.3 0.2])
draw_loudspeakers(output.x0_3,[1 1 0],conf);
xlabel('x/m');
ylabel('y/m');
subplot(2,3,5)
imagesc(output.xaxis_135,output.yaxis_135,abs(output.loc_error_8'));
turn_imagesc;
axis([-2.13 2.13 -3.3 0.2])
draw_loudspeakers(output.x0_8,[1 1 0],conf);
xlabel('x/m');
ylabel('y/m');
subplot(2,3,6)
imagesc(output.xaxis_135,output.yaxis_135,abs(output.loc_error_15'));
turn_imagesc;
axis([-2.13 2.13 -3.3 0.2])
draw_loudspeakers(output.x0_15,[1 1 0],conf);
xlabel('x/m');
ylabel('y/m');
end;
end
%% ------ F I G U R E 12a -----------------------------------------------
if flags.do_fig12a
% listening area
X = [-2.1 2.1];
Y = [-2.1 2.1];
% orientation of the listener (always to the front)
phi = pi/2;
% position of the virtual point source
xs = [0 2.5];
src = 'ps';
% array size
L = 3;
output = amtcache('get', 'fig12a', flags.cachemode);
if isempty(output)
amtdisp('Warning: this will take a long time!','progress');
% 14 speakers
amtdisp('Calculating figure 1/6','progress');
[~,aud_event_14,~,xaxis_21,yaxis_21,x0_14] = ...
wierstorf2013(X,Y,phi,xs,src,L,'wfs', ...
'resolution',21, ...
'nls',14, ...
'array','circle');
amtdisp('Calculating figure 2/6','progress');
[loc_error_14,~,~,xaxis_135,yaxis_135] = ...
wierstorf2013(X,Y,phi,xs,src,L,'wfs', ...
'resolution',135, ...
'nls',14, ...
'array','circle');
% 28 speakers
amtdisp('Calculating figure 3/6','progress');
[~,aud_event_28,~,~,~,x0_28] = ...
wierstorf2013(X,Y,phi,xs,src,L,'wfs', ...
'resolution',21, ...
'nls',28, ...
'array','circle');
amtdisp('Calculating figure 4/6','progress');
loc_error_28 = ...
wierstorf2013(X,Y,phi,xs,src,L,'wfs', ...
'resolution',135, ...
'nls',28, ...
'array','circle');
% 56 speakers
amtdisp('Calculating figure 5/6','progress');
[~,aud_event_56,~,~,~,x0_56] = ...
wierstorf2013(X,Y,phi,xs,src,L,'wfs', ...
'resolution',21, ...
'nls',56, ...
'array','circle');
amtdisp('Calculating figure 6/6','progress');
loc_error_56 = ...
wierstorf2013(X,Y,phi,xs,src,L,'wfs', ...
'resolution',135, ...
'nls',56, ...
'array','circle');
output.loc_error_14 = loc_error_14;
output.loc_error_28 = loc_error_28;
output.loc_error_56 = loc_error_56;
output.aud_event_14 = aud_event_14;
output.aud_event_28 = aud_event_28;
output.aud_event_56 = aud_event_56;
output.x0_14 = x0_14;
output.x0_28 = x0_28;
output.x0_56 = x0_56;
output.xaxis_21 = xaxis_21;
output.yaxis_21 = yaxis_21;
output.xaxis_135 = xaxis_135;
output.yaxis_135 = yaxis_135;
amtcache('set', 'fig12a', output);
end;
if flags.do_plot
% ------ Plotting ------
conf.plot.realloudspeakers = true;
conf.plot.lssize = 0.16;
figure;
subplot(2,3,1);
[u,v,~] = pol2cart(rad(output.aud_event_14+90),ones(size(output.aud_event_14)), ...
zeros(size(output.aud_event_14)));
quiver(output.xaxis_21,output.yaxis_21,u',v',0.5);
axis([-2.13 2.13 -3.3 0.2])
draw_loudspeakers(output.x0_14,[1 1 0],conf);
xlabel('x/m');
ylabel('y/m');
subplot(2,3,2);
[u,v,~] = pol2cart(rad(output.aud_event_28+90),ones(size(output.aud_event_28)), ...
zeros(size(output.aud_event_28)));
quiver(output.xaxis_21,output.yaxis_21,u',v',0.5);
axis([-2.13 2.13 -3.3 0.2])
draw_loudspeakers(output.x0_28,[1 1 0],conf);
xlabel('x/m');
ylabel('y/m');
subplot(2,3,3);
[u,v,~] = pol2cart(rad(output.aud_event_56+90),ones(size(output.aud_event_56)), ...
zeros(size(output.aud_event_56)));
quiver(output.xaxis_21,output.yaxis_21,u',v',0.5);
axis([-2.13 2.13 -3.3 0.2])
draw_loudspeakers(output.x0_56,[1 1 0],conf);
xlabel('x/m');
ylabel('y/m');
subplot(2,3,4)
imagesc(output.xaxis_135,output.yaxis_135,abs(output.loc_error_14'));
turn_imagesc;
axis([-2.13 2.13 -3.3 0.2])
draw_loudspeakers(output.x0_14,[1 1 0],conf);
xlabel('x/m');
ylabel('y/m');
subplot(2,3,5)
imagesc(output.xaxis_135,output.yaxis_135,abs(output.loc_error_28'));
turn_imagesc;
axis([-2.13 2.13 -3.3 0.2])
draw_loudspeakers(output.x0_28,[1 1 0],conf);
xlabel('x/m');
ylabel('y/m');
subplot(2,3,6)
imagesc(output.xaxis_135,output.yaxis_135,abs(output.loc_error_56'));
turn_imagesc;
axis([-2.13 2.13 -3.3 0.2])
draw_loudspeakers(output.x0_56,[1 1 0],conf);
xlabel('x/m');
ylabel('y/m');
end;
end
%% ------ F I G U R E 12b -----------------------------------------------
if flags.do_fig12b
% listening area
X = [-2.1 2.1];
Y = [-2.1 2.1];
% orientation of the listener (always to the front)
phi = pi/2;
% position of the virtual point source
xs = [0 -1];
src = 'pw';
% array size
L = 3;
output = amtcache('get', 'fig12b', flags.cachemode);
if isempty(output)
amtdisp('Warning: this will take a long time!','progress');
% 14 speakers
amtdisp('Calculating figure 1/6','progress');
[~,aud_event_14,~,xaxis_21,yaxis_21,x0_14] = ...
wierstorf2013(X,Y,phi,xs,src,L,'wfs', ...
'resolution',21, ...
'nls',14, ...
'array','circle');
amtdisp('Calculating figure 2/6','progress');
[loc_error_14,~,~,xaxis_135,yaxis_135] = ...
wierstorf2013(X,Y,phi,xs,src,L,'wfs', ...
'resolution',135, ...
'nls',14, ...
'array','circle');
% 28 speakers
amtdisp('Calculating figure 3/6','progress');
[~,aud_event_28,~,~,~,x0_28] = ...
wierstorf2013(X,Y,phi,xs,src,L,'wfs', ...
'resolution',21, ...
'nls',28, ...
'array','circle');
amtdisp('Calculating figure 4/6','progress');
loc_error_28 = ...
wierstorf2013(X,Y,phi,xs,src,L,'wfs', ...
'resolution',135, ...
'nls',28, ...
'array','circle');
% 56 speakers
amtdisp('Calculating figure 5/6','progress');
[~,aud_event_56,~,~,~,x0_56] = ...
wierstorf2013(X,Y,phi,xs,src,L,'wfs', ...
'resolution',21, ...
'nls',56, ...
'array','circle');
amtdisp('Calculating figure 6/6','progress');
loc_error_56 = ...
wierstorf2013(X,Y,phi,xs,src,L,'wfs', ...
'resolution',135, ...
'nls',56, ...
'array','circle');
output.loc_error_14 = loc_error_14;
output.loc_error_28 = loc_error_28;
output.loc_error_56 = loc_error_56;
output.aud_event_14 = aud_event_14;
output.aud_event_28 = aud_event_28;
output.aud_event_56 = aud_event_56;
output.x0_14 = x0_14;
output.x0_28 = x0_28;
output.x0_56 = x0_56;
output.xaxis_21 = xaxis_21;
output.yaxis_21 = yaxis_21;
output.xaxis_135 = xaxis_135;
output.yaxis_135 = yaxis_135;
amtcache('set', 'fig12b', output);
end;
if flags.do_plot
% ------ Plotting ------
conf.plot.realloudspeakers = true;
conf.plot.lssize = 0.16;
figure;
subplot(2,3,1);
[u,v,~] = pol2cart(rad(output.aud_event_14+90),ones(size(output.aud_event_14)), ...
zeros(size(output.aud_event_14)));
quiver(output.xaxis_21,output.yaxis_21,u',v',0.5);
axis([-2.13 2.13 -3.3 0.2])
draw_loudspeakers(output.x0_14,[1 1 0],conf);
xlabel('x/m');
ylabel('y/m');
subplot(2,3,2);
[u,v,~] = pol2cart(rad(output.aud_event_28+90),ones(size(output.aud_event_28)), ...
zeros(size(output.aud_event_28)));
quiver(output.xaxis_21,output.yaxis_21,u',v',0.5);
axis([-2.13 2.13 -3.3 0.2])
draw_loudspeakers(output.x0_28,[1 1 0],conf);
xlabel('x/m');
ylabel('y/m');
subplot(2,3,3);
[u,v,~] = pol2cart(rad(output.aud_event_56+90),ones(size(output.aud_event_56)), ...
zeros(size(output.aud_event_56)));
quiver(output.xaxis_21,output.yaxis_21,u',v',0.5);
axis([-2.13 2.13 -3.3 0.2])
draw_loudspeakers(output.x0_56,[1 1 0],conf);
xlabel('x/m');
ylabel('y/m');
subplot(2,3,4)
imagesc(output.xaxis_135,output.yaxis_135,abs(output.loc_error_14'));
turn_imagesc;
axis([-2.13 2.13 -3.3 0.2])
draw_loudspeakers(output.x0_14,[1 1 0],conf);
xlabel('x/m');
ylabel('y/m');
subplot(2,3,5)
imagesc(output.xaxis_135,output.yaxis_135,abs(output.loc_error_28'));
turn_imagesc;
axis([-2.13 2.13 -3.3 0.2])
draw_loudspeakers(output.x0_28,[1 1 0],conf);
xlabel('x/m');
ylabel('y/m');
subplot(2,3,6)
imagesc(output.xaxis_135,output.yaxis_135,abs(output.loc_error_56'));
turn_imagesc;
axis([-2.13 2.13 -3.3 0.2])
draw_loudspeakers(output.x0_56,[1 1 0],conf);
xlabel('x/m');
ylabel('y/m');
end;
end
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