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<|repo_name|>jefvandewalle/gammatone-matlab<|file_sep|>/gammatone.m
function [gt]=gammatone(fs,f0,bw,k,l)
%[gt]=gammatone(fs,f0,bw,k,l)
%
% gammatone.m computes k gammatone filters
% fs = sampling frequency (Hz)
% f0 = center frequencies (Hz) (1xk)
% bw = bandwidths (Hz) (1xk)
% k = number of filters
% l = filter order (default=4)
if nargin<5 l=4; end
if bw(1)==0
gt=[];
else
%compute filter coefficients
[b,a]=bilinear(gtfir(f0,bw,l),fs);
%compute filter impulse response
[n,g]=impz(b,a);
gt=g';
end
return
function [b,a]=bilinear(bd,a)
n=length(bd);
if n==1
b=bd;
else
b=conv([1 -1],[bd zeros(1,n-1)]);
end
b=b(1:end-1);
a=a*ones(1,n+1);
M=ceil(length(b)/2);
b=[b zeros(1,M)];
a=[a zeros(1,M)];
T=2;
for k=1:length(b)
z_k=exp(-T*pi*i*k/length(b));
b(k)=b(k)*z_k.^((0:length(b)-1))';
a(k)=a(k)*z_k.^((0:length(a)-1))';
end
b=b';
a=a';
b=b/T;
a=a-T*a(1)+a(1);
return
function [bf]=gtfir(fc,bw,M)
T=pi/180;
k=M/4;
f=fc-bw/2:T:(fc+bw/2);
bf=sqrt(24/pi)*exp(-pi*k*f).*cos(pi*f).*(pi*f).^M;
return
<|file_sep|>%testing gammatone.m
clear
close all
fs=10000;
f0=[1000];
bw=[100];
k=length(f0);
l=4;
[gt]=gammatone(fs,f0,bw,k,l);
figure
stem(gt)
xlabel('samples')
ylabel('amplitude')
%compare with Gammatone Toolbox:
addpath('../gammatone_toolbox/')
G=gammatonebank(fs,f0',bw',l);
G=G';
figure
subplot(211)
plot(G)
axis tight
title('Gammatone Toolbox')
subplot(212)
plot(gt)
axis tight
title('gammatone.m')<|file_sep|>%testing lpc.m
clear
close all
fs=10000;
f0=[1000];
bw=[100];
k=length(f0);
l=4;
[gt]=gammatone(fs,f0,bw,k,l);
figure
stem(gt)
xlabel('samples')
ylabel('amplitude')
x=randn(10000,1);
A=lpc(x',10);
figure
plot(A)
xlabel('coefficients')
ylabel('amplitude')
%compare with Signal Processing Toolbox:
x=lpcrandn(10000,A);
X=freqz(x,A);
figure
subplot(211)
plot(real(X))
axis tight
title('Signal Processing Toolbox')
subplot(212)
plot(imag(X))
axis tight
title('Signal Processing Toolbox')
X=lpc(x',10);
figure
subplot(211)
plot(real(X))
axis tight
title('lpc.m')
subplot(212)
plot(imag(X))
axis tight
title('lpc.m')<|repo_name|>jefvandewalle/gammatone-matlab<|file_sep|>/README.md
# gammatone-matlab
Matlab functions implementing auditory filterbanks.
## gammatone.m
Compute Gammatone filterbank.
## lpc.m
Compute Linear Prediction Coefficients (LPC) using Levinson-Durbin recursion.
## stft.m
Compute Short Time Fourier Transform (STFT).
## dftmtx.m
Compute Discrete Fourier Transform matrix.
## dftmtxwin.m
Compute Discrete Fourier Transform matrix windowed.
## fftshift.m
Shift zero-frequency component to center.
## ifftshift.m
Inverse shift zero-frequency component.
## melscale.m
Mel scale computation.
## hzscale.m
Hertz scale computation.
## binnum.m
Bin number computation.
<|repo_name|>jefvandewalle/gammatone-matlab<|file_sep|>/stft.m
function [S,t,f]=stft(x,n,w,s)
%
% [S,t,f]=stft(x,n,w,s)
%
% Short Time Fourier Transform (STFT).
%
% x = signal (N samples)
% n = number of samples per frame (default=1024)
% w = window length (default=n)
% s = hop size between frames (default=n/2)
if nargin<4 s=floor(n/2); end
if nargin<3 w=n; end
if nargin<2 n=1024; end
L=length(x);
N=max(w,n);
M=floor((L-N)/s+1);
x=[zeros(N-w/2-1,L); x; zeros(N-w/2,L)];
X=zeros(N,M);
for k=1:M X(:,k)=x(s*(k-1)+[1:N]); end
X=X.*window(n,w);
S=zeros(N,M);
t=zeros(M,N);
f=zeros(M,N);
for m=1:M S(:,m)=fft(X(:,m),N); t(m,:)=m*s; f(m,:)=fftfreq(N); end
return
function f=fftfreq(n)
f=(0:n-1)/n;
return<|repo_name|>jefvandewalle/gammatone-matlab<|file_sep|>/lpc.m
function [A,e]=lpc(x,p)
%
% [A,e]=lpc(x,p)
%
% Compute Linear Prediction Coefficients using Levinson-Durbin recursion.
%
% x = signal (N samples)
% p = order + one
e=x*x';
A=zeros(p,p);
A(:,1)=e;
for m=1:p-1
%compute reflection coefficient
k=-sum(A(:,m)*x((m+1):end))/e;
%update prediction error
e=(1-k*k)*e;
%update LPC coefficients
A(m+1,m+1)=k;
if m