function varargout = baumgartner2013( target,template,varargin )
%BAUMGARTNER2013 Model for sound localization in sagittal planes
% Usage: pmv = baumgartner2013( target,template )
% [pmv,respang,tang] = baumgartner2013(target,template,u,lat,flow,fhigh,stim,fsstim,polsamp)
%
% Input parameters:
% target : binaural impulse response(s) referring to the directional
% transfer function(s) (DFTs) of the target sound(s).
% Option 1: given in SOFA format -> sagittal plane DTFs will
% be extracted internally.
% Option 2: binaural impulse responses of all available
% listener-specific DTFs of the sagittal plane formated
% according to the following matrix dimensions:
% time x direction x channel/ear
% template: listener-specific template.
% Options 1 & 2 equivalent to target*
%
% Output parameters:
% pmv : predicted probability mass vectors for response angles
% with respect to target positions.
% 1st dim: response angle.
% 2nd dim: target angle.
% respang : polar response angles (after regularization of angular
% sampling)
% tang : polar target angles in the given sagittal plane
%
% BAUMGARTNER2013(...) is a model for sound-source localization in
% sagittal planes (SPs). It bases on the comparison of internal sound
% representation with a template and results in a probabilistic
% prediction of polar angle response.
%
% BAUMGARTNER2013 accepts the following key/value pairs:
%
% 'fs',fs Define the sampling rate of the impulse responses.
% Default value is 48000 Hz.
%
% 'stim',stim Define the stimulus (source signal without directional
% features). As default an impulse is used.
%
% 'fsstim',fss Define the sampling rate of the stimulus.
% Default value is 48000 Hz.
%
% 'flow',flow Set the lowest frequency in the filterbank to
% flow. Default value is 700 Hz.
%
% 'fhigh',fhigh Set the highest frequency in the filterbank to
% fhigh. Default value is 18000 Hz.
%
% 'lat',lat Set the perceived lateral angle of the target sound to
% lat. Default value is 0 deg (midsagittal plane).
%
% 'u',u Set the listener-specific uncertainty (standard
% deviation of the Gaussian transformation from the
% distance metric of the comparison process to the
% similarity index) to u. Default value is 2 dB.
%
% 'space',s Set spacing of auditory filter bands to s numbers of
% equivalent rectangular bandwidths (ERBs).
% Default value is 1 ERB.
%
% 'bwsteep',bws Set the steepness factor bws of the sigmoid function
% applied for binaural weighting of monaural similarity
% indices. Default value is 13 deg.
%
% 'polsamp',ps Define the the polar angular sampling of the current
% SP. As default the sampling of ARI's HRTF format along
% the midsagittal plane is used, i.e.,
% ps = [-30:5:70,80,100,110:5:210].
%
% BAUMGARTNER2013 accepts the following flags:
%
% 'gammatone' Use the Gammatone filterbank for peripheral processing.
% This is the default.
%
% 'langendijk2002_spectralanalysis' Use a filterbank approximation based on DFT with
% constant relative bandwidth for peripheral processing.
% This was used by Langendijk and Bronkhorst (2002).
%
% 'ihc' Incorporate the transduction model of inner hair
% cells used by Dau et al. (1996). This is the default.
%
% 'noihc' Do not incorporate the IHC stage.
%
% 'regular' Apply spline interpolation in order to regularize the
% angular sampling of the polar response angle.
% This is the default.
%
% 'noregular' Disable regularization of angular sampling.
%
% Requirements:
% -------------
%
% 1) SOFA API from http://sourceforge.net/projects/sofacoustics for Matlab (in e.g. thirdparty/SOFA)
%
% 2) Data in hrtf/baumgartner2013
%
% See also: plot_baumgartner2013, data_baumgartner2013,
% exp_baumgartner2013
%
% Demos: demo_baumgartner2013
%
% References:
% P. Majdak, R. Baumgartner, and B. Laback. Acoustic and non-acoustic
% factors in modeling listener-specific performance of sagittal-plane
% sound localization. Front Psychol, 5(319):pages not available yet,
% doi:10.3389/fpsyg.2014.00319, 2014.
%
% R. Baumgartner. Modeling sagittal-plane sound localization with the
% application to subband-encoded head related transfer functions.
% Master's thesis, University of Music and Performing Arts, Graz, June
% 2012.
%
% R. Baumgartner, P. Majdak, and B. Laback. Assessment of Sagittal-Plane
% Sound Localization Performance in Spatial-Audio Applications,
% chapter 4, pages 93-119. Springer-Verlag GmbH, 2013.
%
% T. Dau, D. Pueschel, and A. Kohlrausch. A quantitative model of the
% effective signal processing in the auditory system. I. Model structure.
% J. Acoust. Soc. Am., 99(6):3615-3622, 1996a.
%
% E. Langendijk and A. Bronkhorst. Contribution of spectral cues to human
% sound localization. J. Acoust. Soc. Am., 112:1583-1596, 2002.
%
% R. Patterson, I. Nimmo-Smith, J. Holdsworth, and P. Rice. An efficient
% auditory filterbank based on the gammatone function. APU report, 2341,
% 1987.
%
%
% Url: http://amtoolbox.sourceforge.net/amt-0.9.8/doc/models/baumgartner2013.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: Robert Baumgartner, Acoustics Research Institute, Vienna, Austria
%% Check input options
definput.flags.fbank = {'gammatone','langendijk2002_spectralanalysis','lopezpoveda2001','zilany2007'};
definput.flags.headphonefilter = {'','headphone'};
definput.flags.middleearfilter = {'','middleear'};
definput.flags.ihc = {'ihc','noihc'};
definput.flags.regularization = {'regular','noregular'};
% CP-Falgs:
definput.flags.cp={'std','xcorr'};
definput.keyvals.u=2; % listener-specific uncertainty in dB
definput.keyvals.lat=0; % deg
definput.keyvals.flow=700; % Hz
definput.keyvals.fhigh=18000; % Hz
definput.keyvals.stim=[];
definput.keyvals.fsstim=[];
definput.keyvals.polsamp=[-30:5:70 80 100 110:5:210]; % polar sampling (for regularization)
definput.keyvals.fs=48000; % Hz
definput.keyvals.space=1; % No. of ERBs (Cams)
definput.keyvals.do=0;
definput.keyvals.lvlstim = 40; % dBSPL
definput.keyvals.lvltem = 40; % dBSPL
definput.keyvals.bwsteep=13; % steepness in degrees of binaural weighting function
[flags,kv]=ltfatarghelper(...
{'u','lat','flow','fhigh','stim','fsstim','polsamp',...
'fs','space','do','lvlstim','lvltem','bwsteep'},definput,varargin);
if isstruct(target) % Targets given in SOFA format
kv.fs = target.Data.SamplingRate;
target = extractsp( kv.lat,target );
end
if isstruct(template) % Template given in SOFA format
[template,kv.polsamp] = extractsp( kv.lat,template );
end
%% Error handling
if size(template,2) ~= length(kv.polsamp)
fprintf('\n Error: Second dimension of template and length of polsamp need to be of the same size! \n')
return
end
%% Stimulus
if isempty(kv.stim)
kv.stim = [1;0];%[1;zeros(size(target,1),1)]; % impulse
kv.fsstim = kv.fs;
elseif isempty(kv.fsstim)
kv.fsstim = kv.fs;
end
if flags.do_headphone% || flags.do_drnl
hpfilt = headphonefilter(kv.fs);
kv.stim = convolve(kv.stim,hpfilt(:));
end
if flags.do_middleear% || flags.do_drnl
miearfilt = middleearfilter(kv.fs);
kv.stim = convolve(kv.stim,miearfilt(:));
end
%% DTF filtering
if ~isequal(kv.fs,kv.fsstim)
error('Sorry, sampling rate of stimulus and HRIRs must be equal!')
end
tmp = convolve(target,kv.stim);
target = reshape(tmp,[size(tmp,1),size(target,2),size(target,3)]);
%% Cochlear filter bank -> internal representations
if flags.do_langendijk2002_spectralanalysis
bpo = kv.space*6; % bands per octave (1 oct. approx. as 6 ERBs)
ireptem = langendijk2002_spectralanalysis(template,kv.fs,kv.flow,kv.fhigh,bpo);
ireptar = langendijk2002_spectralanalysis(target,kv.fs,kv.flow,kv.fhigh,bpo);
elseif flags.do_gammatone
% Determine filterbank
fc = audspacebw(kv.flow,kv.fhigh,kv.space,'erb');
Nfc = length(fc); % # of bands
[bgt,agt] = gammatone(fc,kv.fs,'classic');
bgt = real(bgt); % to ensure octave compatibility
agt = real(agt); % to ensure octave compatibility
% Filtering
ireptar = ufilterbankz(bgt,agt,target(:,:)); % channel (3rd) dimension resolved!
ireptem = ufilterbankz(bgt,agt,template(:,:)); % resolve 3rd dim
% IHC transduction
if flags.do_ihc
ireptar = ihcenvelope(ireptar,kv.fs,'ihc_dau');
ireptem = ihcenvelope(ireptem,kv.fs,'ihc_dau');
end
% Set back the channel dimension
ireptar = reshape(ireptar,[size(target,1),...
Nfc,size(target,2),size(target,3)]);
ireptem = reshape(ireptem,[size(template,1),Nfc,size(template,2),size(template,3)]);
% Averaging over time (RMS)
ireptar = 20*log10(squeeze(rms(ireptar))); % in dB!
ireptem = 20*log10(squeeze(rms(ireptem)));
elseif flags.do_drnl
% Set level
idnztar = target~=0; % to ignore pausings
idnztem = template~=0; % to ignore pausings
for ch = 1:size(template,3)
target(idnztar(:,:,ch)) = setdbspl(target(idnztar(:,:,ch)),kv.lvlstim);
template(idnztem(:,:,ch)) = setdbspl(template(idnztem(:,:,ch)),kv.lvltem);
end
% Filtering
[ireptar,fc] = lopezpoveda2001(target(:,:),kv.fs,'flow',kv.flow,'fhigh',kv.fhigh); % includes middle ear
ireptem = lopezpoveda2001(template(:,:),kv.fs,'flow',kv.flow,'fhigh',kv.fhigh);
% IHC transduction
if flags.do_ihc
ireptar = ihcenvelope(ireptar,kv.fs,'ihc_dau');
ireptem = ihcenvelope(ireptem,kv.fs,'ihc_dau');
end
% Set back the channel dimension
ireptar = reshape(ireptar,[size(ireptar,1),...
length(fc),size(target,2),size(target,3)]);
ireptem = reshape(ireptem,[size(ireptem,1),length(fc),size(template,2),size(template,3)]);
% Averaging over time (RMS)
ireptar = 20*log10(squeeze(rms(ireptar)));
ireptem = 20*log10(squeeze(rms(ireptem)));
elseif flags.do_zilany2007
fsmod = 100e3; % Model sampling frequency in Hz
nf = 200; % # of AN fibers
fprintf('\n compute internal representation of target set: \n');
target = [target ; zeros(1e3,size(target,2),size(target,3))]; % concatenate zeros, otherwise comp_zilany2007 complaines about: "reptime should be equal to or longer than the stimulus duration."
ireptar = zeros(nf,size(target,2),size(target,3));
nt = size(target(:,:),2);
for ii = 1:nt
[ANout,vfreq] = zilany2007(kv.lvlstim,target(:,ii),kv.fs,...
fsmod,'flow',kv.flow,'fhigh',kv.fhigh,'nfibers',nf);
ANout = ANout'-50; % subtract 50 due to spontaneous rate
ireptar(:,ii) = 20*log10(rms(ANout)); % integrate over time & in db
fprintf(' %2u of %2u done\n',ii,nt);
end
fprintf('\n Compute internal representation of template: \n');
template = [template ; zeros(1e3+1,size(template,2),size(template,3))]; % concatenate zeros, otherwise comp_zilany2007 complaines about: "reptime should be equal to or longer than the stimulus duration."
ireptem = zeros(nf,size(template,2),size(template,3));
nt = size(template(:,:),2);
for ii = 1:nt
ANout = zilany2007(kv.lvltem,template(:,ii),kv.fs,...
fsmod,'flow',kv.flow,'fhigh',kv.fhigh,'nfibers',nf);
ANout = ANout'-50; % subtract 50 due to spontaneous rate
ireptem(:,ii) = 20*log10(rms(ANout)); % integrate over time & in dB
fprintf(' %2u of %2u done\n',ii,nt);
end
end
if size(ireptar,2) ~= size(target,2) % retreive polar dimension if squeezed out
ireptar = reshape(ireptar,[size(ireptar,1),size(target,2),size(target,3)]);
end
%% Comparison process -> monaural similarity indices (SIs)
si=zeros(size(template,2),size(target,2),size(template,3)); % initialisation
for it = 1:size(target,2)
si(:,it,:) = langendijk2002_comp(ireptar(:,it,:),ireptem,'s',kv.u, ...
'argimport',flags,kv);
end
%% Binaural weighting -> binaural SIs
if size(si,3) == 2
binw = 1./(1+exp(-kv.lat/kv.bwsteep)); % weight of left ear signal with 0 <= binw <= 1
si = binw * si(:,:,1) + (1-binw) * si(:,:,2);
end
%% Interpolation (regularize polar angular sampling)
if flags.do_regular
respang0 = ceil(min(kv.polsamp)*0.2)*5; % ceil to 5°
respangs = respang0:5:max(kv.polsamp);
siint = zeros(length(respangs),size(si,2));
for tt = 1:size(si,2)
siint(:,tt) = interp1(kv.polsamp,si(:,tt),respangs,'spline');
end
si = siint;
si(si<0) = 0; % SIs must be positive (necessary due to spline interp)
else
respangs = kv.polsamp;
end
%% Normalization to PMV
pmv = si ./ repmat(sum(si),size(si,1),1);
%% Output
varargout{1} = pmv;
if nargout >= 2
varargout{2} = respangs;
if nargout >= 3
varargout{3} = kv.polsamp; % tang
end
end
end