function [cqmag,fc,cqmaghr,fvec] = langendijk2002_spectralanalysis( insig,varargin )
%LANGENDIJK2002_SPECTRALANALYSIS FFT-based filter bank with constant relative bandwidth according
% Usage: [cqmag] = langendijk2002_spectralanalysis( insig )
% [cqmag,fc,cqmaghr,fvec] = langendijk2002_spectralanalysis( insig,fs,flow,fhigh,bw )
%
% Input parameters:
% insig : Impulse response or complex spectrum
% fs : Sampling rate, default is 48kHz.
% flow : Lowest frequency, minimum: 0.5kHz, default is 2kHz
% fhigh : Highest frequency, default is, default is 16kHz
% bw : bandwidth, possible values 3,6,9,12, default is 6.
%
% Output parameters:
% cqmag : mean magnitudes of CQ-bands in dB
% fc : center frequencies of bands (geo. mean of corners)
% cqmaghr : same as cqmag but for all freq. bins (high resolution)
% fvec : freq. vector according to FFT-resolution
%
% LANGENDIJK2002_SPECTRALANALYSIS(insig) approximates a constant-Q filter bank by averaging the
% magnitude bins of a DFT. LANGENDIJK2002_SPECTRALANALYSIS results in 'bw' dB-magnitudes per octave.
%
% References:
% E. Langendijk and A. Bronkhorst. Contribution of spectral cues to human
% sound localization. J. Acoust. Soc. Am., 112:1583--1596, 2002.
%
%
% Url: http://amtoolbox.org/amt-1.3.0/doc/modelstages/langendijk2002_spectralanalysis.php
% #StatusDoc: Perfect
% #StatusCode: Perfect
% #Verification: Verified
% #Requirements: none
% #Author : Robert Baumgartner (2013), OEAW Acoustical Research Institute
% 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.
definput.keyvals.fs=48000;
definput.keyvals.flow=2000;
definput.keyvals.fhigh=16000;
definput.keyvals.bw=6;
[flags,kv] = ltfatarghelper({'fs','flow','fhigh','bw'},definput,varargin);
% input signal given in time or frequency domain?
if isreal(insig) % -> TD
nfft = 2^12;%max(2^12,size(insig,1));
y = abs(fft(insig,nfft));
else % -> FD
y = abs(insig);
nfft = size(insig,1);
end
fvec = 0:kv.fs/nfft:kv.fs-kv.fs/nfft;
octs = log2(kv.fhigh/kv.flow); % # of octaves
jj = 0:octs*kv.bw;
n = round(2.^((jj)/kv.bw)*kv.flow/kv.fs*nfft); % startbins
fc = zeros(length(jj)-1,1); % center frequencies
cqmag = zeros(length(jj)-1,size(y,2),size(y,3)); % mean magnitudes of CQ-bands
cqmaghr = zeros(size(y)); % same but for all freq. bins (high resolution)
for ind = jj(1)+1:jj(end)
nj = n(ind+1)-n(ind);
idn = n(ind):n(ind+1)-1;
fc(ind) = sqrt(fvec(n(ind))*fvec(n(ind+1))); % geometric mean
cqmag(ind,:,:) = sqrt(1/(nj)*sum(y(idn,:,:).^2,1));
cqmaghr(idn,:,:) = repmat(cqmag(ind,:,:),[length(idn),1,1]);
end
cqmag = 20*log10(cqmag);
cqmaghr(nfft/2+2:end,:,:) = cqmaghr(nfft/2:-1:2,:,:);
cqmaghr = 20*log10(cqmaghr);
end