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function [win_l,cwp]=window(wtype,n,par)
//[win_l,cwp]=window(wtype,n,par)
//macro which calculates symmetric window
// wtype :window type (re,tr,hn,hm,kr,ch)
// n :window length
// par :parameter 2-vector (kaiser window: par(1)=beta>0)
// : (chebyshev window:par=<dp,df>)
// : dp=main lobe width (0<dp<.5)
// : df=side lobe height (df>0)
// win :window
// cwp :unspecified Chebyshev window parameter
//!
//author: C. Bunks date: 8 Sept 1988
// Copyright INRIA
[lhs,rhs]=argn(0);
cwp=-1;
//Pre-calculations
no2=(n-1)/2;
xt=(-no2:no2);
un=ones(1:n);
//Select the window type
select wtype
case 're' then //Rectangular window.
win_l=un
case 'tr' then //Triangular window.
win_l=un-2*abs(xt)/(n+1);
case 'hm' then //Hamming window.
win_l=.54*un+.46*cos(2*%pi*xt/(n-1));
case 'hn' then //Hanning window.
win_l=.5*un+.5*cos(2*%pi*xt/(n-1));
case 'kr' then //Kaiser window with parameter beta (n,beta)
beta=par(1);
if beta>0 then
xt=2*xt/(n-1);
xt=beta*sqrt(un-xt.*xt);
y=xt/2;
yb=beta/2;
e=un;
eb=1.;
de=un;
deb=1.;
for i=1:25,
de=de.*y/i;
deb=deb*yb/i;
sde=de.*de;
sdeb=deb*deb;
e=e+sde;
eb=eb+sdeb;
end
win_l=e/eb;
else
error('Parameter beta out of bounds (beta]0) --- program termination');
end
case 'ch' then //Chebyshev window
// calculting element of par which is negative
if par(1)<0 then,
unknown='dp';
df=par(2);
else if par(2)<0 then,
unknown='df';
dp=par(1);
else,
error('Parameter par out of bounds prod(par)[0 --- program termination');
end,
end,
select unknown
case 'dp' then,
arg2=1/cos(%pi*df);
coshin2=log(arg2+sqrt(arg2*arg2-1));
dp=2/(exp((n-1)*coshin2)+exp(-(n-1)*coshin2));
cwp=dp;
case 'df' then
arg1=(1+dp)/dp;
coshin1=log(arg1+sqrt(arg1*arg1-1));
df=.5*(exp(coshin1/(n-1))+exp(-coshin1/(n-1)));
df=1/df;
df=imag(log(df+%i*sqrt(1-df*df)))/%pi;
cwp=df;
end,
//Pre-calculation
np1=int((n+1)/2);
ieo=2*np1-n;
xn=n-1;
fnf=n;
x0=(3-cos(2*%pi*df))/(1+cos(2*%pi*df));
alpha=(x0+1)/2;
beta=(x0-1)/2;
c2=xn/2;
//Obtain the frequency values of the Chebyshev window
f=(0:n-1)/fnf;
xarg=alpha*cos(2*%pi*f)+beta*un;
pm1=dp*cos(c2*imag(log(xarg+%i*sqrt(un-xarg.*xarg))));
arg=c2*log(xarg+sqrt(xarg.*xarg-un));
pp1=dp*.5*(exp(arg)+exp(-arg));
dx=0*un;
for i=1:n,
if abs(xarg(i))<=1 then
dx(i)=1;
end,
end,
pr=dx.*pm1+(un-dx).*pp1;
pi=0*un;
if ieo<>1 then
pr=pr.*cos(%pi*f);
pi=-pr.*sin(%pi*f);
antisym=[1*ones(1:int(n/2)+1),-1*ones(int(n/2)+2:n)];
pr=pr.*antisym;
pi=pi.*antisym;
end,
//Calculate the window coefficients using the inverse DFT
twn=2*%pi/fnf;
xj=(0:n-1);
for i=1:np1;
w(i)=sum(pr.*cos(twn*(i-1)*xj)+pi.*sin(twn*(i-1)*xj));
end,
c1=w(1);
w=w/c1;
if ieo==1 then
win_l(np1:n)=w(1:np1);
win_l(1:np1-1)=w(np1-1:-1:1);
else,
win_l(np1+1:n)=w(1:np1);
win_l(1:np1)=w(np1:-1:1);
end
win_l=real(win_l');
//Error in window type
else
error('Unknown window type --- program termination'),
end
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