WSJT-X/lib/fspread_lorentz.f90

48 lines
1.2 KiB
Fortran

subroutine fspread_lorentz(cdat,fspread)
parameter (NZ=3*12000)
complex cdat(0:NZ-1)
complex cspread(0:NZ-1)
complex z
twopi=8.0*atan(1.0)
nfft=NZ
nh=nfft/2
df=12000.0/nfft
cspread(0)=1.0
cspread(nh)=0.
b=6.0 !Use truncated Lorenzian shape for fspread
do i=1,nh
f=i*df
x=b*f/fspread
z=0.
a=0.
if(x.lt.3.0) then !Cutoff beyond x=3
a=sqrt(1.111/(1.0+x*x)-0.1) !Lorentzian amplitude
phi1=twopi*rran() !Random phase
z=a*cmplx(cos(phi1),sin(phi1))
endif
cspread(i)=z
z=0.
if(x.lt.3.0) then !Same thing for negative freqs
phi2=twopi*rran()
z=a*cmplx(cos(phi2),sin(phi2))
endif
cspread(nfft-i)=z
enddo
call four2a(cspread,nfft,1,1,1) !Transform to time domain
sum=0.
do i=0,nfft-1
p=real(cspread(i))**2 + aimag(cspread(i))**2
sum=sum+p
enddo
avep=sum/nfft
fac=sqrt(1.0/avep)
cspread=fac*cspread !Normalize to constant avg power
cdat=cspread*cdat !Apply Rayleigh fading
return
end subroutine fspread_lorentz