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JOERGENSEN2011_MULTCHANSNRENV - calculates the SNRenv

Program code:

function result =  joergensen2011_multchansnrenv(Mix,Noise,fs,T)
%JOERGENSEN2011_MULTCHANSNRENV calculates the SNRenv
%
%   Usage: result =  joergensen2011_multChanSNRenv(signal,test,noise,fs,N,T)
%
%   Input parameters:
%     signal  : clean input signal
%     test    : distorted signal (by noise, reverb etc.)
%     noise   : noise signal, processed in the same way as the test signal
%     fs      : sampling frequency
%     N       : Number of samples in the input signals
%     T       : Duration in seconds of the input signals
%
%   Output parameters:
%     result              : struct containing the results
%
%
%   joergensen2011_multChanSNRenv calculates the SNRenv in 7 modulation filters in 22
%   Gammatone filters with 1/3-octave spacing.
%
%   The result struct contains the following fields:
%
%     .mod_fcs               Center frequencies of the modulation filterbank
%
%     .outSNRenvs            Matrix with an SNRenv value for each modulation filter in each gammatone filter; 
% 
%     .sEPSM_ExcPtns         (Optional) Modulation excitation patterns
%
%   See also: joergensen2011
%
%   Url: http://amtoolbox.org/amt-1.5.0/doc/modelstages/joergensen2011_multchansnrenv.php


%   #StatusDoc: Submitted
%   #StatusCode: Submitted
%   #Verification: Untrusted
%   #Requirements: M-Signal M-Stats
%   #Author: Søren Jørgensen (2011)
%   #Author: Peter L. Sondergaard (2014)

% 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. 



debug = 0; % 0 =  no debug; 1 = debug with figures


% Center frequencies of the gammatone filters:
midfreq=[63    80   100  125  160  200    250    315  400   500  630 800  1000  1250  1600  2000 2500 3150 4000 5000 6300  8000];

%  diffuse field hearing threshold in quiet: ISO 387-7:2005
HT_diffuse = [37.5 31.5  26.5  22.1 17.9 14.4 11.4 8.4 5.8  3.8  2.1  1.0  0.8  1.9  0.5 -1.5 -3.1 -4.0 -3.8 -1.8 2.5   6.8 ];

stim(1,:) = Mix ;
stim(2,:) = Noise;


%% calculating filterbank time domain output
for k = 1:2
    g = gammatonefir(midfreq,fs,'complex');
    tmp  = 2*real(ufilterbank(stim(k,:),g,1));
    GT_output(:,:,k)  = tmp; % time domain outputs
end

%
%% ------------------ determining which frequency bands of the noise alone that are above
%% the hearing threshold. They are used for further processing.
  
% Filtering the mix with a rectangular 1/3-octave filterbank
[fcs1 mix_rms_out] = thirdoctrmsanalysis24(Mix,fs);
mixRMS_dB =  20*log10(mix_rms_out)+100;

mix_spec_level_corr = mixRMS_dB - 10*log10(fcs1*0.231); % converted to spectrum level according to ANSI 1997.
%     Find the bands with level above diffuse field Hearing Threshold
Nbands_to_process = find(mix_spec_level_corr(1:22)>HT_diffuse);

%% ------------------ calculating envelopes of temporal outputs
if ~isempty(Nbands_to_process)
  for p = 1:Nbands_to_process
    
    clear stim
    stim(1,:) = GT_output(:,p,1) ;
    stim(2,:) = GT_output(:,p,2);
    
    % lowpass filtering at 150 Hz
    [bb, aa] = butter(1, 150*2/fs);
    
    for k = 1:2
        tmp = abs(hilbert(stim(k,:))); %  envelope
        tmp = filter(bb,aa,tmp);
        
        env(k,:) = tmp;
       
    end
    
    %% ------------estimation of SNRenv in this audio channel
    [mod_fcs outSNRenvs(:,p) ] = joergensen2011snrenv(env(1,:),env(2,:),fs);
    
  end
else
  mod_fcs = nan;
  outSNRenvs = nan;
end

% Saving output data:
result.mod_fcs = mod_fcs;
result.outSNRenvs = outSNRenvs;

if debug == 1
    cut = 1;
    t = 0:1/fsNew:T;
    %     t = t(cut:end-1);
    t2 = 0:1/fs:T;
    t2 = t2(1:end-1);
    linwidth = 2;
    fontsize = 14;
    D2 = 1;
    xmax = 100;
    xmin = 0.4;
    ymax = 1.2;
    ymin = -1.2;
    %     x2_normed = x2/max(x2);
    %     test2_normed = test2/max(test2);
    Bandidx = 14;
    figure
    subplot(3,1,1)
    plot(t2,GT_output(:,p,1)/max(GT_output(:,p,1)),'k','linewidth',linwidth),hold on
    plot(t2,GT_output(:,p,3)/max(GT_output(:,p,3)),'r','linewidth',linwidth)
    plot(t2,GT_output(:,p,2)/max(GT_output(:,p,2)),'color',[.5 .5 .5],'linewidth',linwidth)
    title(['Output from GT-band centered at ', num2str(midfreq(Bandidx)), ' Hz'])
    xlabel('Time [s]','FontSize',fontsize)
    ylabel('Amplitude ','FontSize',fontsize)
    % xlim([xmin xmax])
    ylim([ymin ymax])
    set(gca,'fontsize',fontsize );
    subplot(3,1,2)
    %     plot(t(1:D2:end),x2_normed(1:D2:end),'color',[.5 .5 .5],'linewidth',linwidth),hold on
    plot(t, env_normed(:,1,Bandidx)','k','linewidth',linwidth), hold on
    plot(t, env_normed(:,2,Bandidx)','color',[.5 .5 .5],'linewidth',linwidth)
    %     title(['speech' ' SNR = ' num2str(SNRs(end)) ])
    xlabel('Time [s]','FontSize',fontsize)
    ylabel('Amplitude ','FontSize',fontsize)
    % xlim([xmin xmax])
    ylim([ymin ymax])
    set(gca,'fontsize',fontsize );
    subplot(3,1,3)
    %     plot(t(1:D2:end),test2_normed(1:D2:end),'color',[.5 .5 .5],'linewidth',linwidth),hold on
    plot(t, env_normed(:,3,Bandidx)','k','linewidth',linwidth)
    % plot(t,env_int(3,:),'g','linewidth',linwidth)
    title('speech + noise')
    xlabel('Time [s]','FontSize',fontsize)
    ylabel('Amplitude ','FontSize',fontsize)
    % xlim([xmin xmax])
    ylim([ymin ymax])
    set(gca,'fontsize',fontsize );
    
    Nnew = length(env_normed(:,1,Bandidx));
    for k = 1:3
        tmp =  abs(fft(env_normed(:,k,Bandidx))/(Nnew/2)).^2 ; % only norm with N/2, why?
        outSxx(:,k) = tmp(1:fix(Nnew/2)+1); %(1:fix(N/2)+1)
        
        pos_freqs= linspace(0,fsNew/2,length(outSxx(:,k)));
        [fcs1 mod_spec(:,k)] = octave_third_low(pos_freqs,outSxx(:,k));
        [fcs_EPSM, outSxxEPSM(:,k)] =  EPSM3(pos_freqs,outSxx(:,k)',0);
    end
    
    % tmp = find(isnan(mod_spec));
    % mod_spec(tmp) = 0.00101;
    octbands = 1:3:25;
    xmin = .5;
    xmax = 60;
    ymin = -60;
    ymax = 1;
    figure
    subplot(1,2,1)
    % plot(pos_freqs, 10*log10(specMean(3,:)),'- k','linewidth',linwidth),hold on
    % plot(pos_freqs, 10*log10(specMean(1,:)),'- k','linewidth',linwidth),hold on
    % plot(fcs1, 10*log10(mod_spec(:,1)),'- s k','linewidth',linwidth), hold on
    % plot(fcs1, 10*log10(mod_spec(:,3)),': * k','linewidth',linwidth),
    % plot(fcs1, 10*log10(mod_spec(:,2)),'color',[.5 .5 .5],'linewidth',linwidth),
    plot(pos_freqs, 10*log10(outSxx(:,1)),'- s k','linewidth',linwidth), hold on
    plot(pos_freqs, 10*log10(outSxx(:,3)),': * k','linewidth',linwidth),
    plot(pos_freqs, 10*log10(outSxx(:,2)),'color',[.5 .5 .5],'linewidth',linwidth),
    xlim([xmin xmax])
    ylim([ymin ymax])
    xlabel('Modulation frequency [Hz]','FontSize',fontsize)
    ylabel('Amplitude ','FontSize',fontsize)
    set(gca,'XTick',fcs1(octbands),'XScale','log','XMinorTick','on','ytick',ymin:10:ymax,'fontsize',12 );
    legend('clean','noisy','noise')
    ymax = 10;
    ymin = -25;
    subplot(1,2,2)
    plot([1 fcs_EPSM], 10*log10(outSxxEPSM(:,1)),'-s k','linewidth',linwidth),hold on
    plot([1 fcs_EPSM], 10*log10(outSxxEPSM(:,3)),': * k','linewidth',linwidth)
    plot([1 fcs_EPSM], 10*log10(outSxxEPSM(:,2)),'color',[.5 .5 .5],'linewidth',linwidth)
    xlim([xmin xmax])
    ylim([ymin ymax])
    xlabel('Modulation filter f_c [Hz]','FontSize',fontsize)
    ylabel('Envelope power','FontSize',fontsize)
    legend('clean','noisy','noise')
    set(gca,'XTick',[1 fcs_EPSM],'XScale','log','XMinorTick','on','ytick',-25:2:10,'fontsize',12);
end

end

function [midfreq_out rms_out] = thirdoctrmsanalysis24(insig,fs)
%THIRDOCTRMSANALYSIS  XXX Description
%   Usage: [midfreq_out rms_out] = thirdoctrmsanalysis24(x,fs);
%
%   Input parameters:
%     insig  : Input signal
%     fs     : Sampling frequency
%
%   Output parameters:
%     midfreq_out : XXX DESC
%     rms_out     : XXX DESC
%
%   `[midfreq_out,rms_out] = thirdoctrmsanalysis24(x,fs)` computes XXX

% insig = input;
% insig = real(ifft(ones(1,1000)));
% fs = 2000;
N = length(insig);
X = (fft(insig));
X_mag  = abs(X) ;
X_power = X_mag.^2/N ;% power spectrum.
X_power_pos = X_power(1:fix(N/2)+1) ;

%take positive frequencies only and mulitply by two-squared to get the same
%total energy(used since the integration is only performed for positive
%freqiencies)
X_power_pos(2:end) = X_power_pos(2:end).* (2);

freq= linspace(0,fs/2,length(X_power_pos));

% freq = linspace(0,fs/2,N/2 +1);
% X_pos = X(1:N/2);
f_axis = [-1*freq(end:-1:2)  freq(1:end-1)];

%resolution of data
resol=freq(2)-freq(1);

%band cross-over frequencies
%  not needed: 16 20 25 32 40 50 63 80 100 % % 6300 8000 10000 12500 16000
%  20000
midfreq=[63 80 100 125 160 200 250 315 400 500 630 800 1000 1250 1600 2000 ...
         2500 3150 4000 5000 6300 8000 10000 12500 ];
crossfreq(1)=midfreq(1)/(2^(1/6));
crossfreq(2:length(midfreq)+1)=midfreq*(2^(1/6));

%cross-over indicies
y=crossfreq/resol;

%initialize output matrix
% output = zeros(length(midfreq));
% output_specs = zeros(length(midfreq));
%rounding up
crosselem=round(y);
for n=1:length(y)
    if crosselem(n)<y(n)
        crosselem(n)=crosselem(n)+1;
    end
end

nn=1;
%while nn < numel(crossfreq) && (crossfreq(nn+1)<=freq(end))
for nn=1:numel(crossfreq)-1
      if crossfreq(nn+1)<=freq(end)
        rms_out(nn) = sqrt(sum(X_power_pos(crosselem(nn):crosselem(nn+1)-1))/N);
   
        nn=nn+1;  
      end
  midfreq_out = midfreq(1:nn-1);
end
end