CXML

signal-processing 


Description

  The signal processing routines are a part of the Compaq Extended Math
  Library (CXML). This library provides subprograms for fast Fourier
  transforms, convolutions and correlations, and digital filters.

  A comprehensive set of Fourier transform functions is provided covering the
  following options:

      One, two or three dimensions

      Forward or inverse direction

      Multiple 1D Fourier transforms

  The convolution and correlation operations complement the signal processing
  abilities of the Fourier transform. Both periodic and non-periodic versions
  are supported.

  The signal processing library also includes a non-recursive filter that can
  be used in four ways:

      Lowpass

      Highpass

      Bandpass

      Bandstop (notch)

  All FFT, convolution, and correlation routines are available in real and
  complex versions, in both single and double precision. The filtering
  routines are only available for single precision, real data.

  The include files CXMLDEF.FOR and cxmldef.h contain declarations of
  structures used by the FFT routines.

  The following routines are provided for the One-Step Fourier Transform
  functions. The Subprogram Name is the name of the manual page containing
  documentation on the subprogram.

       Name       Operation

       sfft

                  Calculates, in single-precision arithmetic, the
                  fast forward or inverse Fourier transform of one-
                  dimensional, real data.

       dfft

                  Calculates, in double-precision arithmetic, the
                  fast forward or inverse Fourier transform of one-
                  dimensional, real data.

       cfft

                  Calculates, in single-precision arithmetic, the
                  fast forward or inverse Fourier transform of one-
                  dimensional, complex data.

       zfft

                  Calculates, in double-precision arithmetic, the
                  fast forward or inverse Fourier transform of one-
                  dimensional, complex data.

       sfft_2d

                  Calculates, in single-precision arithmetic, the
                  fast forward or inverse Fourier transform of two-
                  dimensional, real data.

       dfft_2d

                  Calculates, in double-precision arithmetic, the
                  fast forward or inverse Fourier transform of two-
                  dimensional, real data.

       cfft_2d

                  Calculates, in single-precision arithmetic, the
                  fast forward or inverse Fourier transform of two-
                  dimensional, complex data.

       zfft_2d

                  Calculates, in double-precision arithmetic, the
                  fast forward or inverse Fourier transform of two-
                  dimensional, complex data.

       sfft_3d

                  Calculates, in single-precision arithmetic, the
                  fast forward or inverse Fourier transform of
                  three-dimensional, real data.

       dfft_3d

                  Calculates, in double-precision arithmetic, the
                  fast forward or inverse Fourier transform of
                  three-dimensional, real data.

       cfft_3d

                  Calculates, in single-precision arithmetic, the
                  fast forward or inverse Fourier transform of
                  three-dimensional, complex data.

       zfft_3d

                  Calculates, in double-precision arithmetic, the
                  fast forward or inverse Fourier transform of
                  three-dimensional, complex data.

       sfft_grp

                  Calculates, in single-precision arithmetic, the
                  fast forward or inverse Fourier transform of a
                  group of real data.

       dfft_grp

                  Calculates, in double-precision arithmetic, the
                  fast forward or inverse Fourier transform of a
                  group of real data.

       cfft_grp

                  Calculates, in single-precision arithmetic, the
                  fast forward or inverse Fourier transform of a
                  group of complex data.

       zfft_grp

                  Calculates, in double-precision arithmetic, the
                  fast forward or inverse Fourier transform of a
                  group of complex data.

  The following routines are provided for the Three-Step Fourier Transform
  functions. The Subprogram Name is the name of the manual page containing
  documentation on the subprogram.

       Name             Operation

       sfft_init

                        Calculates internal data structures.

       sfft_apply

                        Applies SFFT_INIT's internal data structure to
                        calculate, in single-precision arithmetic, the
                        fast forward or inverse Fourier transform of one-
                        dimensional, real  data.

       sfft_exit

                        Deallocates the virtual memory allocated by
                        SFFT_INIT.

       dfft_init

                        Calculates internal data structures.

       dfft_apply

                        Applies DFFT_INIT's internal data structure to
                        calculate, in double-precision arithmetic, the
                        fast forward or inverse Fourier transform of one-
                        dimensional, real  data.

       dfft_exit

                        Deallocates the virtual memory allocated by
                        DFFT_INIT.

       cfft_init

                        Calculates internal data structures.

       cfft_apply

                        Applies CFFT_INIT's internal data structure to
                        calculate, in single-precision arithmetic, the
                        fast forward or inverse Fourier transform of one-
                        dimensional, complex data.

       cfft_exit

                        Deallocates the virtual memory allocated by
                        CFFT_INIT.

       zfft_init

                        Calculates internal data structures.

       zfft_apply

                        Applies ZFFT_INIT's internal data structure to
                        calculate, in double-precision arithmetic, the
                        fast forward or inverse Fourier transform of one-
                        dimensional, complex data.

       zfft_exit

                        Deallocates the virtual memory allocated by
                        ZFFT_INIT.

       sfft_init_2d

                        Calculates internal data structures.

       sfft_apply_2d

                        Applies SFFT_INIT_2D's internal data structure to
                        calculate, in single-precision arithmetic, the
                        fast forward or inverse Fourier transform of two-
                        dimensional, real data.

       sfft_exit_2d

                        Deallocates the virtual memory allocated by
                        SFFT_INIT_2D.

       dfft_init_2d

                        Calculates internal data structures.

       dfft_apply_2d

                        Applies DFFT_INIT_2D's internal data structure to
                        calculate, in double-precision arithmetic, the
                        fast forward or inverse Fourier transform of two-
                        dimensional, real data.

       dfft_exit_2d

                        Deallocates the virtual memory allocated by
                        DFFT_INIT_2D.

       cfft_init_2d

                        Calculates internal data structures.

       cfft_apply_2d

                        Applies CFFT_INIT_2D's internal data structure to
                        calculate, in single-precision arithmetic, the
                        fast forward or inverse Fourier transform of two-
                        dimensional, complex data.

       cfft_exit_2d

                        Deallocates the virtual memory allocated by
                        CFFT_INIT_2D.

       zfft_init_2d

                        Calculates internal data structures.

       zfft_apply_2d

                        Applies ZFFT_INIT_2D's internal data structure to
                        calculate, in double-precision arithmetic, the
                        fast forward or inverse Fourier transform of two-
                        dimensional, complex data.

       zfft_exit_2d

                        Deallocates the virtual memory allocated by
                        ZFFT_INIT_2D.

       sfft_init_3d

                        Calculates internal data structures.

       sfft_apply_3d

                        Applies SFFT_INIT_3D's internal data structure to
                        calculate, in single-precision arithmetic, the
                        fast forward or inverse Fourier transform of
                        three-dimensional, real data.

       sfft_exit_3d

                        Deallocates the virtual memory allocated by
                        SFFT_INIT_3D.

       dfft_init_3d

                        Calculates internal data structures.

       dfft_apply_3d

                        Applies DFFT_INIT_3D's internal data structure to
                        calculate, in double-precision arithmetic, the
                        fast forward or inverse Fourier transform of
                        three-dimensional, real data.

       dfft_exit_3d

                        Deallocates the virtual memory allocated by
                        DFFT_INIT_3D.

       cfft_init_3d

                        Calculates internal data structures.

       cfft_apply_3d

                        Applies CFFT_INIT_3D's internal data structure to
                        calculate, in single-precision arithmetic, the
                        fast forward or inverse Fourier transform of
                        three-dimensional, complex data.

       cfft_exit_3d

                        Deallocates the virtual memory allocated by
                        CFFT_INIT_3D.

       zfft_init_3d

                        Calculates internal data structures.

       zfft_apply_3d

                        Applies ZFFT_INIT_3D's internal data structure to
                        calculate, in double-precision arithmetic, the
                        fast forward or inverse Fourier transform of
                        three-dimensional, complex data.

       zfft_exit_3d

                        Deallocates the virtual memory allocated by
                        ZFFT_INIT_3D.

       sfft_init_grp

                        Calculates internal data structures.

       sfft_apply_grp

                        Applies SFFT_INIT_GRP's internal data structure to
                        calculate, in single-precision arithmetic, the
                        fast forward or inverse Fourier transform of
                        grouped, real data.

       sfft_exit_grp

                        Deallocates the virtual memory allocated by
                        SFFT_INIT_GRP.

       dfft_init_grp

                        Calculates internal data structures.

       dfft_apply_grp

                        Applies DFFT_INIT_GRP's internal data structure to
                        calculate, in double-precision arithmetic, the
                        fast forward or inverse Fourier transform of
                        grouped, real data.

       dfft_exit_grp

                        Deallocates the virtual memory allocated by
                        DFFT_INIT_GRP.

       cfft_init_grp

                        Calculates internal data structures.

       cfft_apply_grp

                        Applies CFFT_INIT_GRP's internal data structure to
                        calculate, in single-precision arithmetic, the
                        fast forward or inverse Fourier transform of
                        grouped, complex data.

       cfft_exit_grp

                        Deallocates the virtual memory allocated by
                        CFFT_INIT_GRP.

       zfft_init_grp

                        Calculates internal data structures.

       zfft_apply_grp

                        Applies SFFT_INIT_GRP's internal data structure to
                        calculate, in double-precision arithmetic, the
                        fast forward or inverse Fourier transform of
                        grouped, complex data.

       zfft_exit_grp

                        Deallocates the virtual memory allocated by
                        ZFFT_INIT_GRP.

  The following routines are provided for the Convolution functions. The
  Subprogram Name is the name of the manual page containing documentation on
  the subprogram.

       Subroutine Name         Operation

       sconv_nonperiodic

                               Calculates, in single-precision arithmetic, the
                               nonperiodic convolution of two real arrays.

       dconv_nonperiodic

                               Calculates, in double-precision arithmetic, the
                               nonperiodic convolution of two real arrays.

       cconv_nonperiodic

                               Calculates, in single-precision arithmetic, the
                               nonperiodic convolution of two complex arrays.

       zconv_nonperiodic

                               Calculates, in double-precision arithmetic, the
                               nonperiodic convolution of two complex arrays.

       sconv_periodic

                               Calculates, in single-precision arithmetic, the
                               periodic convolution of two real arrays.

       dconv_periodic

                               Calculates, in double-precision arithmetic, the
                               periodic convolution of two real arrays.

       cconv_periodic

                               Calculates, in single-precision arithmetic, the
                               periodic convolution of two complex arrays.

       zconv_periodic

                               Calculates, in double-precision arithmetic, the
                               periodic convolution of two complex arrays.

       sconv_nonperiodic_ext

                               Calculates, in single-precision arithmetic, the
                               nonperiodic convolution of two real arrays.

       dconv_nonperiodic_ext

                               Calculates, in double-precision arithmetic, the
                               nonperiodic convolution of two real arrays.

       cconv_nonperiodic_ext

                               Calculates, in single-precision arithmetic, the
                               nonperiodic convolution of two complex arrays.

       zconv_nonperiodic_ext

                               Calculates, in double-precision arithmetic, the
                               nonperiodic convolution of two complex arrays.

       sconv_periodic_ext

                               Calculates, in single-precision arithmetic, the
                               periodic convolution of two real arrays.

       dconv_periodic_ext

                               Calculates, in double-precision arithmetic, the
                               periodic convolution of two real arrays.

       cconv_periodic_ext

                               Calculates, in single-precision arithmetic, the
                               periodic convolution of two complex arrays.

       zconv_periodic_ext

                               Calculates, in double-precision arithmetic, the
                               periodic convolution of two complex arrays.

  The following routines are provided for the Correlation functions. The
  Subprogram Name is the name of the manual page containing documentation on
  the subprogram.

       Subroutine Name         Operation

       scorr_nonperiodic

                               Calculates, in single-precision arithmetic, the
                               nonperiodic correlation of two real arrays.

       dcorr_nonperiodic

                               Calculates, in double-precision arithmetic, the
                               nonperiodic correlation of two real arrays.

       ccorr_nonperiodic

                               Calculates, in single-precision arithmetic, the
                               nonperiodic correlation of two complex arrays.

       zcorr_nonperiodic

                               Calculates, in double-precision arithmetic, the
                               nonperiodic correlation of two complex arrays.

       scorr_periodic

                               Calculates, in single-precision arithmetic, the
                               periodic correlation of two real arrays.

       dcorr_periodic

                               Calculates, in double-precision arithmetic, the
                               periodic correlation of two real arrays.

       ccorr_periodic

                               Calculates, in single-precision arithmetic, the
                               periodic correlation of two complex arrays.

       zcorr_periodic

                               Calculates, in double-precision arithmetic, the
                               periodic correlation of two complex arrays.

       scorr_nonperiodic_ext

                               Calculates, in single-precision arithmetic, the
                               nonperiodic correlation of two real arrays.

       dcorr_nonperiodic_ext

                               Calculates, in double-precision arithmetic, the
                               nonperiodic correlation of two real arrays.

       ccorr_nonperiodic_ext

                               Calculates, in single-precision arithmetic, the
                               nonperiodic correlation of two complex arrays.

       zcorr_nonperiodic_ext

                               Calculates, in double-precision arithmetic, the
                               nonperiodic correlation of two complex arrays.

       scorr_periodic_ext

                               Calculates, in single-precision arithmetic, the
                               periodic correlation of two real arrays.

       dcorr_periodic_ext

                               Calculates, in double-precision arithmetic, the
                               periodic correlation of two real arrays.

       ccorr_periodic_ext

                               Calculates, in single-precision arithmetic, the
                               periodic correlation of two complex arrays.

       zcorr_periodic_ext

                               Calculates, in double-precision arithmetic, the
                               periodic correlation of two complex arrays.

  The following routines are provided for the Compaq Filter functions. The
  Subprogram Name is the name of the manual page containing documentation on
  the subprogram.

       Subroutine Name        Operation

       sfilter_nonrec

                              Performs the filter operation in one step

       sfilter_init_nonrec

                              Initializes a working array

       sfilter_apply_nonrec

                              Uses the initialized working array for repeated
                              filtering operations

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