function [results] = glasberg2002(inSig,fs, varargin)
%GLASBERG2002 Loudness model for time-variant signals
% Usage: [results] = glasberg2002(inSig,fs);
%
% Input parameters:
% inSig : monaural input signal
% fs : sampling frequency [Hz]
%
% Output parameters:
% results : output struct containing the long-term and short-term loudness
%
% Optional parameters:
%
% 'fs',fs model-internal sampling frequency [Hz]; it is strongly
% recommended to use the default of 32000 Hz
%
% 'flow',flow lowest frequency at which to evaluate the outer/middle
% ear transfer function
%
% 'fhigh',fhigh highest frequency at which to evaluate the outer/middle
% ear transfer function
%
% 'order',order order of the FIR filter used for deriving the outer/middle
% ear transfer function
%
% 'fftLen',fftLen length of the fft used for preprocessing the inputSignal
%
% 'vLimitingIndices',vLimitingIndices vector [1 x 5] containing boundaries [Hz] at which to
% separate the inputSignal during frequency analysis
%
% 'hannLenMs',hannLenMs vector [1 x 5] containing the size [ms] of the
% windows used for frequency analysis of the inputSignal
%
% 'timeStep',timeStep integration duration for short-term loudness [s]
%
% 'compensationtype' flag; specifies the outer/middle ear transfer
% function. Can be 'tfOuterMiddle1997','tfOuterMiddle2007', or 'specLoud'
%
% This code calculates the excitation patterns, the long-term and
% short-term loudness.
%
% Example:
%
% fs = 32000;
% t = linspace(0,1,fs);
% sig = sin(2*pi*1000*t).';
% inSig = scaletodbspl(sig,100);
%
% Note that currently fs must be 32000 Hz.
%
% See also: data_glasberg2002 exp_glasberg2002 exp_moore1997
% glasberg2002 moore1997 moore2016
%
% References:
% B. R. Glasberg and B. C. J. Moore. A Model of Loudness Applicable to
% Time-Varying Sounds. J. Audio Eng. Soc, 50(5):331--342, 2002.
%
% B. C. J. Moore, B. R. Glasberg, and T. Baer. A Model for the Prediction
% of Thresholds, Loudness, and Partial Loudness. J. Audio Eng. Soc,
% 45(4):224--240, 1997.
%
%
% Url: http://amtoolbox.org/amt-1.3.0/doc/models/glasberg2002.php
% #StatusDoc: Satisfactory
% #StatusCode: Submitted
% #Verification: Untrusted
% #Requirements: M-Signal
% #Author: Thomas Deppisch (2017)
% #Author: Piotr Majdak (2017)
% #Author: Clara Hollomey (2020)
% This file is licensed unter the GNU General Public License (GPL) either
% version 3 of the license, or any later version as published by the Free Software
% Foundation. Details of the GPLv3 can be found in the AMT directory "licences" and
% at <https://www.gnu.org/licenses/gpl-3.0.html>.
% You can redistribute this file and/or modify it under the terms of the GPLv3.
% This file is distributed without any warranty; without even the implied warranty
% of merchantability or fitness for a particular purpose.
% todo: two-channel inSig, different fs (-> window sizes), inSig normalization
%% model
definput.import = {'glasberg2002'};
[flags,kv] = ltfatarghelper({},definput,varargin);
if size(kv.hannLenMs, 2) ~= 6 || size(kv.vLimitingIndices, 2) ~= 5
error('vLimitingIndices needs to be of dim [1 x 5] and hannLenMs of dim [1 x 6]');
end
if fs ~= kv.fs
inSig = resample(inSig, kv.fs, fs);
fs = kv.fs;
end
% compute ffts in 1ms intervals
fVec = kv.flow:kv.fhigh;
data = data_glasberg2002(flags.compensationtype,'fVec',fVec);
% create FIR filter
tfLinear = 10.^(data.tfOuterMiddle/10);
outerMiddleFilter = fir2(kv.order, linspace(0, 1, length(fVec)), tfLinear);
earSig = filtfilt(outerMiddleFilter,1,inSig); % why does filter(..) not work?
updateRate = round(kv.timeStep*kv.fs);
numBlocks = ceil(length(earSig)./updateRate);
hannLenSmp = round(kv.hannLenMs./1000 * kv.fs); % windows size in samples
earSigPad = earSig;
earSigPad(end+1:end+hannLenSmp(6)) = zeros(hannLenSmp(6),1); % zero padding
% calculate hann windows
hannWin2 = hann(hannLenSmp(1));
hannWin4 = hann(hannLenSmp(2));
hannWin8 = hann(hannLenSmp(3));
hannWin16 = hann(hannLenSmp(4));
hannWin32 = hann(hannLenSmp(5));
hannWin64 = hann(hannLenSmp(6));
spect1 = zeros(numBlocks, kv.fftLen);
spect2 = zeros(numBlocks, kv.fftLen);
spect3 = zeros(numBlocks, kv.fftLen);
spect4 = zeros(numBlocks, kv.fftLen);
spect5 = zeros(numBlocks, kv.fftLen);
spect6 = zeros(numBlocks, kv.fftLen);
for ii=1:numBlocks
% fft for each window
lower = (ii-1)*updateRate+1;
upper = (ii-1)*updateRate+hannLenSmp(1);
spect1(ii,:) = fft(earSigPad(lower:upper) .* hannWin2, kv.fftLen);
upper = (ii-1)*updateRate+hannLenSmp(2);
spect2(ii,:) = fft(earSigPad(lower:upper) .* hannWin4, kv.fftLen);
upper = (ii-1)*updateRate+hannLenSmp(3);
spect3(ii,:) = fft(earSigPad(lower:upper) .* hannWin8, kv.fftLen);
upper = (ii-1)*updateRate+hannLenSmp(4);
spect4(ii,:) = fft(earSigPad(lower:upper) .* hannWin16, kv.fftLen);
upper = (ii-1)*updateRate+hannLenSmp(5);
spect5(ii,:) = fft(earSigPad(lower:upper) .* hannWin32, kv.fftLen);
upper = (ii-1)*updateRate+hannLenSmp(6);
spect6(ii,:) = fft(earSigPad(lower:upper) .* hannWin64, kv.fftLen);
end
oneHz = (kv.fftLen+2)/kv.fs; % number of frequency bins representing 1Hz
% truncate ffts to match the frequency ranges specified in glasberg2002
% and put PSD for each window and each time interval in matrix -> window
% normalization
spect = zeros(numBlocks,kv.fftLen/2+1);
spect(:,round(kv.vLimitingIndices(1)*oneHz)+1:kv.fftLen/2 +1) = abs(spect1(:,round(kv.vLimitingIndices(1)*oneHz)+1:kv.fftLen/2+1)).^2/sum(hannWin2.^2); % 4050-fs/2
spect(:,round(kv.vLimitingIndices(2)*oneHz)+1:round(kv.vLimitingIndices(1)*oneHz)) = abs(spect2(:,round(kv.vLimitingIndices(2)*oneHz)+1:round(kv.vLimitingIndices(1)*oneHz))).^2/sum(hannWin4.^2); % 2540-4050Hz
spect(:,round(kv.vLimitingIndices(3)*oneHz)+1:round(kv.vLimitingIndices(2)*oneHz)) = abs(spect3(:,round(kv.vLimitingIndices(3)*oneHz)+1:round(kv.vLimitingIndices(2)*oneHz))).^2/sum(hannWin8.^2); % 1250-2540Hz
spect(:,round(kv.vLimitingIndices(4)*oneHz)+1:round(kv.vLimitingIndices(3)*oneHz)) = abs(spect4(:,round(kv.vLimitingIndices(4)*oneHz)+1:round(kv.vLimitingIndices(3)*oneHz))).^2/sum(hannWin16.^2); % 500-1250Hz
spect(:,round(kv.vLimitingIndices(5)*oneHz)+1:round(kv.vLimitingIndices(4)*oneHz)) = abs(spect5(:,round(kv.vLimitingIndices(5)*oneHz)+1:round(kv.vLimitingIndices(4)*oneHz))).^2/sum(hannWin32.^2); % 80-500Hz
spect(:,1:round(kv.vLimitingIndices(5)*oneHz)) = abs(spect6(:,1:round(kv.vLimitingIndices(5)*oneHz))).^2/sum(hannWin64.^2); % 0-80Hz
compInt = 2*spect./fs; % psd
compFq = linspace(0,fs/2,kv.fftLen/2+1);
%% calculating excitation patterns
% calculate ERB numbers corresponding to ERB mid frequencies
erbStep = 0.25; % according to moore1997, glasberg2002
erbFcMin = 50;
erbFcMax = 15000;
erbNMin = fc2erb(erbFcMin);
erbNMax = fc2erb(erbFcMax);
erbN = erbNMin:erbStep:erbNMax; % numbers of erb bands
erbFc = erb2fc(erbN); % center frequency of erb bands
erbLoFreq = erb2fc(erbN-0.5); % lower limit of each ERB filter
erbHiFreq = erb2fc(erbN+0.5); % upper limit of each ERB filter
% calculate intensity for each ERB (dB/ERB) and each time step
erbInt = zeros( size(compInt, 1), length(erbFc));
for ii=1:length(erbFc)
range = round(erbLoFreq(ii)*oneHz):round(erbHiFreq(ii)*oneHz);
erbInt(:,ii) = sum(compInt(:,range),2); % intensity sum in each erb
end
erbdB = 10*log10(erbInt./(20e-6)^2); % intensity level in each erb using reference SPL of 20 uPa
% p determines bandwidth and slope of the erb filter and is generally
% asymmetrical
% p is roughly symmetrical for an excitation level of 51dB per ERB
p51 = 4*erbFc./f2erb(erbFc); % p for erb center frequencies and a level of 51dB
p511 = 4*1000/f2erb(1000); % p for fc=1kHz and a level of 51dB (at 1kHz filters are symmetrical)
pU = p51; % pU for all erbFc and all time steps
g = abs(repmat(compFq,149,1) - repmat(erbFc.',1,length(compFq)))./repmat(erbFc.',1,length(compFq)); % normalized deviation of each f to erbFc for each erb band
pL=zeros(numBlocks,length(compFq),length(erbFc));
p=zeros(size(pL));
w=p; e=p;
eL=zeros(numBlocks,length(erbFc));
erbdB2f=zeros(numBlocks,length(compFq));
for ii = 1:numBlocks % time steps
erbdB2f(ii,:) = interp1([0 erbFc fs/2], [min(erbdB(ii,:)) erbdB(ii,:) min(erbdB(ii,:))], compFq); % map erbFc to compFq
pL(ii,:,:) = repmat(p51,length(compFq),1) - 0.35.*(repmat(p51,length(compFq),1)./p511).*(repmat(erbdB2f(ii,:).',1,length(erbN))-51);
p(ii,:,:) = pL(ii,:,:);
for jj = 1:length(erbN)
p(ii,round(erbFc(jj)*oneHz)+1:end,jj) = pU(jj); % p(f>erbFc) = pU
end
w(ii,:,:) = (1+squeeze(p(ii,:,:)).*g.').*exp(-squeeze(p(ii,:,:)).*g.'); % calculate weighting function
e(ii,:,:) = squeeze(w(ii,:,:)).*repmat(compInt(ii,:).',1,length(erbN));
eL(ii,:) = sum(squeeze(e(ii,:,:)),1); % sum excitation level in each erb
end
results.eLdB = 10*log10(eL./(20e-6)^2);
results.erbN = erbN;
%% calculating specific loudness
dataSL = data_glasberg2002('specLoud','fVec',erbFc);
tQdB = dataSL.tQ;
tQ = 10.^(tQdB./10);
tQdB500 = dataSL.tQ500;
%gdB = dataSL.g; % low level gain in cochlea amplifier
g = 10.^((tQdB500-tQdB)/10);
a = dataSL.a; % parameter for linearization around absolute threshold
alpha = dataSL.alpha; % compressive exponent
c = dataSL.c; % constant to get loudness scale to sone
specLoud = zeros(size(eL));
specLoud1 = c*(2*eL./(eL+repmat(tQ,numBlocks,1))).^1.5 .*((repmat(g,numBlocks,1).* ...
eL+repmat(a,numBlocks,1)).^repmat(alpha,numBlocks,1)-repmat(a.^alpha,numBlocks,1));
specLoud2 = c * ((repmat(g,numBlocks,1) .*eL+repmat(a,numBlocks,1)).^repmat(alpha,numBlocks,1) - ...
repmat(a.^alpha,numBlocks,1));
specLoud3 = c*(eL./1.04e6).^0.5;
specLoud(eL<repmat(tQ,numBlocks,1)) = specLoud1(eL<repmat(tQ,numBlocks,1));
specLoud(eL<=10^10 & eL>repmat(tQ,numBlocks,1)) = specLoud2(eL<=10^10 & eL>repmat(tQ,numBlocks,1));
specLoud(eL>10^10) = specLoud3(eL>10^10);
%% monaural/binaural loudness (= instantaneous loudness), short term loudness (STL), long term loudness (LTL)
results.monauralLoudness = sum(specLoud,2) * erbStep; % integrate over the erbs
results.binauralLoudness = 2*results.monauralLoudness; % use moore2016 (Modeling binaural loudness) for better results
% STL and LTL:
aSTL = 0.045;
rSTL = 0.02;
STL = zeros(length(results.binauralLoudness),1);
aLTL = 0.01;
rLTL = 0.0005;
LTL = zeros(length(results.binauralLoudness),1);
for ii = 2:length(results.binauralLoudness)
if results.binauralLoudness(ii)>STL(ii-1)
STL(ii) = aSTL*results.binauralLoudness(ii)+(1-aSTL)*STL(ii-1);
else
STL(ii) = rSTL*results.binauralLoudness(ii)+(1-rSTL)*STL(ii-1);
end
if STL(ii)>LTL(ii-1)
LTL(ii) = aLTL*STL(ii)+(1-aLTL)*LTL(ii-1);
else
LTL(ii) = rLTL*STL(ii)+(1-rLTL)*LTL(ii-1);
end
end
results.STL = STL;
results.LTL = LTL;