function b = middleearfilter(fs,varargin)
%MIDDLEEARFILTER Middle ear filter
% Usage: b=middleearfilter(fs,varargin);
% b=middleearfilter(fs);
% b=middleearfilter;
%
% MIDDLEEARFILTER(fs) computes the filter coefficients of a FIR
% filter approximating the effect of the middle ear.
%
% The following parameter and flags can be specified additionally:
%
% 'order',order Sets the filter order of the computed FIR filter.
% Default value is 512.
%
% 'minimum' Calculates a minimum phase filter. This is the default.
%
% 'zero' returns a filter with zero phase. Since Matlab shifts the
% symmetric impulse response due to no negative indices.
% This results in a linear phase and hence a delay in the
% signal chain.
%
% 'lopezpoveda' Use data from Lopez-Poveda and Meddis (2001). These
% data are in turn derived from Goode et al. (1994).
% This is the default.
%
% 'jepsenmiddleear' Use the data originally used for the Jepsen 2008
% model.
%
% MIDDLEEARFILTER without any input arguments returns a table describing
% the frequency response of the middle ear filter. First column of the
% table contain frequencies and the second column contains the amplitude
% (stapes peak velocity in m/s at 0dB SPL) of the frequency like in figure
% 2b) of Lopez-Poveda and Meddis (2001).
%
% MIDDLEEARFILTER is meant to be used in conjunction with the DRNL
% function, as the output is scaled to make DRNL work. If you are not
% using the DRNl, you probably do not want to call this function. The
% following code displays the magnitude response of the filter:
%
% fs=16000;
% x=erbspace(0,fs/2,100);
% b=middleearfilter(fs);
% H=freqz(b,1,x,fs);
% semiaudplot(x,10*log10(abs(H).^2));
% xlabel('Frequency (Hz)');
% ylabel('Magnitude (dB)');
%
% See also: data_lopezpoveda2001, drnl
%
% References:
% R. Goode, M. Killion, K. Nakamura, and S. Nishihara. New knowledge
% about the function of the human middle ear: development of an improved
% analog model. The American journal of otology, 15(2):145-154, 1994.
%
% E. Lopez-Poveda and R. Meddis. A human nonlinear cochlear filterbank.
% J. Acoust. Soc. Am., 110:3107-3118, 2001.
%
%
% Url: http://amtoolbox.sourceforge.net/data/amt-test/htdocs/amt-0.9.8/doc/general/middleearfilter.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: Peter L. Søndergaard, Katharina Egger
%% ------ Check input options --------------------------------------------
% Define input flags
definput.flags.filtertype = {'lopezpoveda','jepsenmiddleear'};
definput.flags.phase = {'minimum','zero'};
definput.keyvals.order = 512;
% Parse input options
[flags,kv] = ltfatarghelper({},definput,varargin);
if flags.do_lopezpoveda
data = data_lopezpoveda2001('fig2b', 'noplot');
if nargin==0
b = data;
else
if fs<=20000
% In this case, we need to cut the table because the sampling
% frequency is too low to accomodate the full range.
indx=find(data(:,1)<fs/2);
data = data(1:indx(end),:);
else
% otherwise the table will be extrapolated towards fs/2
% data point added every 1000Hz
lgth = size(data,1);
for ii = 1:floor((fs/2-data(end,1))/1000)
data(lgth+ii,1) = data(lgth+ii-1,1) + 1000;
% 1.1 corresponds to the decay of the last amplitude values = approx. ratio
% between amplitudes of frequency values seperated by 1000Hz
data(lgth+ii,2) = data(lgth+ii-1,2) / 1.1;
end
end;
% for the function fir2 the last data point has to be at fs/2
lgth = size(data,1);
if data(lgth,1) ~= fs/2
data(lgth+1,1) = fs/2;
data(lgth+1,2) = data(lgth,2) / (1+(fs/2-data(lgth,1))*0.1/1000);
end
% Extract the frequencies and amplitudes, and put them in the format
% that fir2 likes.
freq=[0;...
data(:,1).*(2/fs);...
];
ampl=[0;...
data(:,2);...
];
b = fir2(kv.order,freq,ampl);
b = b / 20e-6; % scaling for SPL in dB re 20uPa
if flags.do_minimum
X = fft(b);
Xmin = abs(X) .* exp(-i*imag(hilbert(log(abs(X)))));
b = real(ifft(Xmin));
end
end
end;
if flags.do_jepsenmiddleear
stapes_data = [...
50, 48046.39731;...
100, 24023.19865;...
200, 12011.59933;...
400, 6005.799663;...
600, 3720.406871;...
800, 2866.404385;...
1000, 3363.247811;...
1200, 4379.228921;...
1400, 4804.639731;...
1600, 5732.808769;...
1800, 6228.236688;...
2000, 7206.959596;...
2200, 9172.494031;...
2400, 9554.681282;...
2600, 10779.64042;...
2800, 12011.59933;...
3000, 14013.53255;...
3500, 16015.46577;...
4000, 18017.39899;...
4500, 23852.82136;...
5000, 21020.29882;...
5500, 22931.23508;...
6000, 28027.06509;...
6500, 28745.70779;...
7000, 32098.9;...
7500, 34504.4;...
8000, 36909.9;...
8500, 39315.4;...
9000, 41720.9;...
9500, 44126.4;...
10000,46531.9;...
];
% We need to find inverse because original data is stapes impedance and we
% need stapes velocity.
stapes_data (:,2) = 1./stapes_data(:,2);
if nargin==0
b = stapes_data;
else
if fs<=20000
% In this case, we need to cut the table because the sampling
% frequency is too low to accomodate the full range.
indx=find(stapes_data(:,1)<fs/2);
stapes_data=stapes_data(1:indx(end),:);
end;
% Extract the frequencies and amplitudes, and put them in the format
% that fir2 likes.
freq=[0;...
stapes_data(:,1).*(2/fs);...
1];
ampl=[0;...
stapes_data(:,2);...
0];
b = fir2(kv.order,freq,ampl);
% See the figure text for figure 1, Lopez (2001).
b = b/max(abs(fft(b)))*1e-8*10^(104/20);
end;
end;
% if flags.do_plot
% % Manually calculate the frequency response
% fmid = abs(fftreal(b));
% % Half the filter length.
% n2=length(fmid);
% % x-values for plotting.
% xplot=linspace(0,fs/2,n2);
% loglog(xplot/1000,fmid);
% xlabel('Frequency (kHz)');
% ylabel('FIR middleearfilter');
% end