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window.f
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window.f
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SUBROUTINE WINDOW_TS(MDIM,MSAMP,MREC,MSRC, NDIM,NSAMP,NREC,NSRC,
; ITYPE,NPCT,DT,TWIN, TS,IERR)
!
! Windows the time series data base using Steanrds and David's
! windowing routines
!
! INPUT MEANING
! ----- -------
! DT sampling period (same units as twin)
! ITYPE (1) Rectangular window
! (2) Tapered rectangle
! (3) Triangle
! (4) Hanning
! (5) Hamming
! (6) Blackman
! MDIM leading dimension
! MREC leading dimension
! MSAMP leading dimension
! MSRC leading dimension
! NDIM number of components
! NREC number of receivers
! NSAMP number of samples
! NSRC number of sources
! TS time series to window
! TWIN window times (start,stop)
!
! OUTPUT MEANING
! ------ -------
! TS windowed time series
!
!.... variable declarations
IMPLICIT NONE
REAL*4, INTENT(INOUT) :: TS(MDIM,MSAMP,MREC,*)
REAL*4, INTENT(IN) :: TWIN(MREC,MSRC,*), DT
INTEGER*4, INTENT(IN) :: MDIM,MSAMP,MREC,MSRC, NDIM,NSAMP,NREC,
; NSRC,NPCT,ITYPE
INTEGER*4, INTENT(OUT) :: IERR
!.... local variables
REAL*4, ALLOCATABLE :: TEMP(:)
REAL*4 TSV, T0, T1
INTEGER*4 ISRC, IREC, I, I1,I2, LX, K, ION, IOFF
REAL*4, PARAMETER :: FLIN = 0.5
REAL*8, PARAMETER :: FHIN = 0.0
INTEGER*4, PARAMETER :: NLIN = 8
INTEGER*4, PARAMETER :: NHIN = 0
!
!----------------------------------------------------------------------!
!
!.... window
IERR = 0
LX = NSAMP - 1
ALLOCATE(TEMP(NSAMP))
DO 1 ISRC=1,NSRC
DO 2 IREC=1,NREC
T0 = TWIN(IREC,ISRC,1)
T1 = TWIN(IREC,ISRC,2)
I1 = MAX( 1,INT(T0/DT) + 1)
I2 = MIN(NSAMP,INT(T1/DT) + 1)
ION = 1 + INT( FLOAT(I2 - I1 + 1)*FLOAT(NPCT)/100.0 + 0.5)
IOFF = I2 - I1 + 1
; - INT( FLOAT(I2 - I1 + 1)*FLOAT(NPCT)/100.0 + 0.5)
LX = I2 - I1
DO 3 I=1,NDIM
CALL TAPER4(TS(I,1:NSAMP,IREC,ISRC),I1,I2,NSAMP,0.10)
!CALL SCOPY(NSAMP,TS(I,1:NSAMP,IREC,ISRC),1,TEMP,1)
TEMP(1:NSAMP) = TS(I,1:NSAMP,IREC,ISRC)
CALL IIR(TEMP, TS(I,1:NSAMP,IREC,ISRC), DT, NSAMP,
; NLIN, FLIN, NHIN, FHIN)
print *, minval(temp),maxval(temp),
; minval(ts(i,1:nsamp,irec,isrc)),maxval(ts(i,1:nsamp,irec,isrc))
3 CONTINUE
! IF (LX.LT.0) THEN
! WRITE(*,*) 'window: Window length is negative!'
! IERR = 1
! RETURN
! ENDIF
! DO 3 I=1,NDIM
! CALL SPMASK_V2(2,TS(I,I1:I2,IREC,ISRC),LX,NPCT,ITYPE,TSV,
! ; ION,IOFF, IERR)
! !CALL SPMASK(TS(I,I1:I2,IREC,ISRC),LX,ITYPE,TSV,IERR)
! IF (IERR.NE.0) THEN
! WRITE(*,*) 'window: Error calling SPMASK_V2',IERR
! RETURN
! ENDIF
! DO 4 K=1,I1-1
! TS(I,K,IREC,ISRC) = 0.0
! 4 CONTINUE
! DO 5 K=I2+1,NSAMP
! TS(I,K,IREC,ISRC) = 0.0
! 5 CONTINUE
! 3 CONTINUE !loop on components
2 CONTINUE !loop on receivers
1 CONTINUE !loop on sources
DEALLOCATE(TEMP)
RETURN
END
! !
!======================================================================!
! !
subroutine taper4(a,ibeg, iend, n, tfrac)
c
c Apply a ten percent sine squared filter to the
c n point time series stored in array a.
c
c ibeg taper start
c iend taper end
c
real*4, intent(in) :: tfrac
integer*4, intent(in) :: n, ibeg, iend
real*4, intent(inout) :: a(n)
real*4 fac, w
integer*4 n1, l, i, i1, i2, npt
real*4, parameter :: pi = 3.141592653589793
if (ibeg.lt.0) then
write(*,*) 'taper: ibeg < 0;, skipping!'
return
endif
if (iend.gt.n) then
write(*,*) 'taper: iend > 0; skipping!'
return
endif
do 1 i = 1, ibeg
a(i) = 0.0
1 continue
do 2 i = iend, n
a(i) = 0.0
2 continue
npt = iend - ibeg + 1
n1 = int(float(npt)*tfrac)
if(n1.le.1) return
w = pi/(2.0*float(n1))
l = iend
i1 = ibeg + 1
i2 = i1 + n1
do 3 i = i1, i2
l = l - 1
fac = sin(w*float(i-i1))
fac = fac*fac
a(i) = a(i)*fac
a(l) = a(l)*fac
3 continue
return
end
! !
!======================================================================!
! !
SUBROUTINE DFT_TS(MDIM,MFREQ,MSAMP,MREC, NDIM,NFREQ,NSAMP,NREC,
; NSRC,IDIR, DT,STARTT, FREQ,TS, TFORM)
!
! Fourier transforms the time domain series
!
! INPUT MEANING
! ----- -------
! DT sampling period (s)
! FREQ frequency list (Hz)
! IDIR -1 Time domain -> frequency standard definition
! MDIM leading dimension
! MFREQ leading dimension
! MREC leading dimension
! MSAMP leading dimension
! NDIM number of components
! NFREQ number of frequencies
! NREC number of receivers
! NSAMP number of samples
! NSRC number of sources
! STARTT start time, probably 0
! TS time series to DFT
!
! OUTPUT MEANING
! ------ -------
! TFORM frequency domain components of ts
!
!.... variable declarations
IMPLICIT NONE
REAL*8, INTENT(IN) :: FREQ(NFREQ)
REAL*4, INTENT(IN) :: TS(MDIM,MSAMP,MREC,*), DT, STARTT
INTEGER*4, INTENT(IN) :: MDIM,MFREQ,MSAMP,MREC, NDIM,NFREQ,NREC,
; NSAMP,NSRC,IDIR
COMPLEX*8, INTENT(OUT) :: TFORM(MDIM,MFREQ,MREC,*)
!.... local variables
COMPLEX*8 CZERO, CFACT, CTS
REAL*4 TIME, DIR, OMEGA, ARG
INTEGER*4 IFREQ, ISRC, IREC, K, I
PARAMETER(CZERO = CMPLX(0.0,0.0))
REAL*8 PI /3.14159265358979323846D0/
!
!----------------------------------------------------------------------!
!
DIR = FLOAT(IDIR)
DO 1 IFREQ=1,NFREQ
OMEGA = SNGL( 2.D0*PI*FREQ(IFREQ) )
DO 2 ISRC=1,NSRC
DO 3 IREC=1,NREC
TFORM(1:NDIM,IFREQ,IREC,ISRC) = CZERO
DO 4 K=1,NSAMP
TIME = FLOAT(K - 1)*DT + STARTT
ARG = DIR*OMEGA*TIME
CFACT = CMPLX(CEXP(CMPLX(0.0,ARG)))
DO 5 I=1,NDIM
CTS = TS(I,K,IREC,ISRC)
TFORM(I,IFREQ,IREC,ISRC) = TFORM(I,IFREQ,IREC,ISRC)
; + CFACT*CTS
5 CONTINUE
4 CONTINUE
3 CONTINUE
2 CONTINUE
1 CONTINUE
RETURN
END
! !
!======================================================================!
! !
SUBROUTINE SPMASK_V2(JOB,X,LX,NPCT,ITYPE,TSV,I1,I2, IERROR)
IMPLICIT NONE
REAL*4, INTENT(INOUT) :: X(0:LX)
INTEGER*4, INTENT(IN) :: JOB, LX, NPCT, ITYPE, I1, I2
REAL*4, INTENT(OUT) :: TSV
INTEGER*4, INTENT(OUT) :: IERROR
!.... local variables
REAL*8 DPWNDO
REAL*4 W
INTEGER*4 LX2, IX2, K
!
!----------------------------------------------------------------------!
!
IF (JOB.EQ.1) THEN
CALL SPMASK(X,LX,ITYPE,TSV, IERROR)
ELSE
LX2 = 0
DO 1 K=0,LX
IF (K.LT.I1) THEN
LX2 = LX2 + 1
ELSEIF (K.GT.I2) THEN
LX2 = LX2 + 1
ENDIF
1 CONTINUE
IX2 =-1
DO 2 K=0,LX
IF (K.LT.I1) THEN
IX2 = IX2 + 1
W = SNGL( DPWNDO(ITYPE,LX2,NPCT,IX2) )
ELSEIF (K.GT.I2) THEN
IX2 = IX2 + 1
W = SNGL( DPWNDO(ITYPE,LX2,NPCT,IX2) )
ELSE
W = 1.0
ENDIF
X(K) = X(K)*W
2 CONTINUE
ENDIF
RETURN
END
! !
!======================================================================!
! !
SUBROUTINE SPMASK(X,LX,ITYPE,TSV, IERROR)
!
! APPLIES A DATA WINDOW TO THE DATA VECTOR X(0:LX).
! ITYPE = 1(RECTANGULAR), 2(TAPERED RECTANGULAR), 3(TRIANGULAR)
! 4(HANNING), 5(HAMMING), 6(BLACKMAN)
! (NOTE: TAPERED RECTANGULAR HAS COSINE-TAPERED 10% ENDS)
! TSV = SUM OF SQUARED WINDOW VALUES
! IERROR = 0 IF NO ERROR, 1 IF ITYPE OUT OF RANGE
IMPLICIT NONE
REAL*4, INTENT(INOUT) :: X(0:LX)
INTEGER*4, INTENT(IN) :: LX, ITYPE
REAL*4, INTENT(OUT) :: TSV
INTEGER*4, INTENT(OUT) :: IERROR
REAL*8 DPWNDO
REAL*4 W
INTEGER*4 K
IERROR = 1
IF (ITYPE.LT.1 .OR. ITYPE.GT.6) RETURN
TSV = 0.0
DO 1 K=0,LX
W = SNGL( DPWNDO(ITYPE,LX+1,10,K) )
X(K) = X(K)*W
TSV = TSV + W**2
1 CONTINUE
IERROR = 0
RETURN
END
! !
!======================================================================!
! !
REAL*8 FUNCTION DPWNDO(ITYPE,N,NPCT,K)
!
! THIS GENERATES A FSINGLE SAMPLE OF A DATA WINDOW.
! ITYPE = 1 (RECTANGULAR), 2 (TAPERED RECTANGULAR), 3 (TRIANGULAR),
! 4 (HANNING), 5 (HAMMING), OR 6 (BLACKMAN)
! (NOTE: TAPERED RECTANGULAR HAS COSINE-TAPERED 10% ENDS)
! N = SIZE (TOTAL NO. SAMPLES) OF WINDOW
! K = SAMPLE NUMBER WITHIN WINDOW, FROM 0 THROUGH N-1
! (IF K IS OUTSIDE THIS RANGE, SPWNDO IS SET TO 0.)
IMPLICIT REAL*8 (A-H,O-Z)
INTEGER*4, INTENT(IN) :: ITYPE,N,K,NPCT
PI = 4.D0*DATAN(1.D0)
DPWNDO = 0.D0
IF (ITYPE.LT.1 .OR.ITYPE.GT.6) RETURN
IF (ITYPE.EQ.2 .AND. NPCT.LT.0 .OR. NPCT.GT.100) THEN
WRITE(*,*) 'dpwndo: npct must be between [0,100]',NPCT
RETURN
ENDIF
IF (K.LT.0 .OR. K.GE.N) RETURN
DPWNDO = 1.D0
GOTO (1,2,3,4,5,6), ITYPE
1 RETURN
2 L = (N - 2)/NPCT !10
IF (K.LE.L) DPWNDO = 0.5D0
; *(1.D0 - DCOS(DFLOAT(K)*PI/(DFLOAT(L + 1))))
IF (K.GT.N-L-2) DPWNDO = 0.5D0*(1.D0
; - DCOS(DFLOAT(N - K - 1)*PI/DFLOAT(L + 1)))
RETURN
3 DPWNDO = 1.D0 - DABS(1.D0 - 2.D0*DFLOAT(K)/(DFLOAT(N) - 1.D0))
RETURN
4 DPWNDO = 0.5D0*(1.D0 - DCOS(2.D0*DFLOAT(K)*PI/(DFLOAT(N) - 1.D0)))
RETURN
!.... alpha and beta optimized from wikipedia
5 DPWNDO = 0.53836D0
; - 0.46164D0*DCOS(2.D0*DFLOAT(K)*PI/(DFLOAT(N) - 1.D0))
c 5 DPWNDO = 0.54D0
c ; - 0.46D0*DCOS(2.D0*DFLOAT(K)*PI/(DFLOAT(N) - 1.D0))
RETURN
6 DPWNDO = 0.42D0 - 0.5D0*DCOS(2.D0*DFLOAT(K)*PI/(DFLOAT(N) - 1.D0))
; + 0.08D0*DCOS(4.D0*DFLOAT(K)*PI/(DFLOAT(N) - 1.D0))
RETURN
END