Signal Processing Library Routines

Oracle Developer Studio Performance Library contains routines for computing the fast Fourier transform, sine and cosine transforms, and convolution and correlation.

FFT Routines

Oracle Developer Studio Performance Library provides a set of FFT interfaces that supersedes a subset of the FFTPACK and VFFTPACK routines provided in earlier Oracle Developer Studio Performance Library releases. The old FFT interfaces are included for backward compatibility, and users are encouraged to use the new interfaces. For information on individual FFT routines, see the section 3P man pages.

Table 62 shows the mapping between the Oracle Developer Studio Performance Library FFT routines and the corresponding FFTPACK and VFFTPACK routines. (P) denotes routines that are parallelized.

Table 62  FFT Routines

Routine Replaces Function CFFTC (P) CFFTI CFFTF (P) CFFTB (P) Initialize the trigonometric weight and factor tables or compute the one-dimensional forward or inverse FFT of a complex sequence. CFFTC2 (P) CFFT2I CFFT2F (P) CFFT2B (P) Initialize the trigonometric weight and factor tables or compute the two-dimensional forward or inverse FFT of a two-dimensional complex array. CFFTC3 (P) CFFT3I CFFT3F (P) CFFT3B (P) Initialize the trigonometric weight and factor tables or compute the three-dimensional forward or inverse FFT of three-dimensional complex array. CFFTCM (P) VCFFTI VCFFTF (P) VCFFTB (P) Initialize the trigonometric weight and factor tables or compute the one-dimensional forward or inverse FFT of a set of data sequences stored in a two-dimensional complex array. CFFTS RFFTI, RFFTB EZFFTI, EZFFTB Initialize the trigonometric weight and factor tables or compute the one-dimensional inverse FFT of a complex sequence. CFFTS2 RFFT2I RFFT2B Initialize the trigonometric weight and factor tables or compute the two-dimensional inverse FFT of a two-dimensional complex array. CFFTS3 (P) RFFT3I RFFT3B Initialize the trigonometric weight and factor tables or compute the three-dimensional inverse FFT of three-dimensional complex array. CFFTSM VRFFTI VRFFTB (P) Initialize the trigonometric weight and factor tables or compute the one-dimensional inverse FFT of a set of data sequences stored in a two-dimensional complex array. DFFTZ DFFTI, DFFTF DEZFFTI, DEZFFTF Initialize the trigonometric weight and factor tables or compute the one-dimensional forward FFT of a double precision sequence. DFFTZ2 DFFT2I DFFT2F Initialize the trigonometric weight and factor tables or compute the two-dimensional forward FFT of a two-dimensional double precision array. DFFTZ3 (P) DFFT3I DFFT3F Initialize the trigonometric weight and factor tables or compute the three-dimensional forward FFT of three-dimensional double precision array. DFFTZM VDFFTI VDFFTF (P) Initialize the trigonometric weight and factor tables or compute the one-dimensional forward FFT of a set of data sequences stored in a two-dimensional double precision array. SFFTC RFFTI, RFFTF EZFFTI, EZFFTF Initialize the trigonometric weight and factor tables or compute the one-dimensional forward FFT of a real sequence. SFFTC2 RFFT2I RFFT2F Initialize the trigonometric weight and factor tables or compute the two-dimensional forward FFT of a two-dimensional real array. SFFTC3 (P) RFFT3I RFFT3F Initialize the trigonometric weight and factor tables or compute the three-dimensional forward FFT of three-dimensional real array. SFFTCM VRFFTI VRFFTF (P) Initialize the trigonometric weight and factor tables or compute the one-dimensional forward FFT of a set of data sequences stored in a two-dimensional real array. ZFFTD DFFTI, DFFTB DEZFFTI, DEZFFTB Initialize the trigonometric weight and factor tables or compute the one-dimensional inverse FFT of a double complex sequence. ZFFTD2 DFFT2I DFFT2B Initialize the trigonometric weight and factor tables or compute the two-dimensional inverse FFT of a two-dimensional double complex array. ZFFTD3 (P) DFFT3I DFFT3B Initialize the trigonometric weight and factor tables or compute the three-dimensional inverse FFT of three-dimensional double complex array. ZFFTDM VDFFTI VDFFTB (P) Initialize the trigonometric weight and factor tables or compute the one-dimensional inverse FFT of a set of data sequences stored in a two-dimensional double complex array. ZFFTZ (P) ZFFTI ZFFTF (P) ZFFTB (P) Initialize the trigonometric weight and factor tables or compute the one-dimensional forward or inverse FFT of a double complex sequence. ZFFTZ2 (P) ZFFT2I ZFFT2F (P) ZFFT2B (P) Initialize the trigonometric weight and factor tables or compute the two-dimensional forward or inverse FFT of a two-dimensional double complex array. ZFFTZ3 (P) ZFFT3I ZFFT3F (P) ZFFT3B (P) Initialize the trigonometric weight and factor tables or compute the three-dimensional forward or inverse FFT of three-dimensional double complex array. ZFFTZM (P) VZFFTI VZFFTF (P) VZFFTB (P) Initialize the trigonometric weight and factor tables or compute the one-dimensional forward or inverse FFT of a set of data sequences stored in a two-dimensional double complex array.

Fast Cosine and Sine Transforms

Oracle Developer Studio Performance Library fast cosine and sine transform routines are based on the routines contained in FFTPACK (http://www.netlib.org/fftpack/). Routines with a V prefix are vectorized routines that are based on the routines contained in VFFTPACK (http://www.netlib.org/vfftpack/).

Table 63 lists the Oracle Developer Studio Performance Library sine and cosine transform routines.

Table 63  Sine and Cosine Transform Routines

Routine Function COSQB, DCOSQB, VCOSQB, VDCOSQB Cosine quarter-wave synthesis. COSQF, DCOSQF, VCOSQF, VDCOSQF Cosine quarter-wave transform. COSQI, DCOSQI, VCOSQI, VDCOSQI Initialize cosine quarter-wave transform and synthesis. COST, DCOST, VCOST, VDCOST Cosine even-wave transform. COSTI, DCOSTI, VCOSTI, VDCOSTI Initialize cosine even-wave transform. SINQB, DSINQB, VSINQB, VDSINQB Sine quarter-wave synthesis. SINQF, DSINQF, VSINQF, VDSINQF Sine quarter-wave transform. SINQI, DSINQI, VSINQI, VDSINQI Initialize sine quarter-wave transform and synthesis. SINT, DSINT, VSINT, VDSINT Sine odd-wave transform. SINTI, DSINT, VSINTI, VDSINTI Initialize sine odd-wave transform.

Convolution and Correlation Routines

Table 64 lists the Oracle Developer Studio Performance Library convolution and correlation routines.

Table 64  Convolution and Correlation Routines

Routines Function xCNVCOR Computes convolution or correlation xCNVCOR2 Computes two-dimensional convolution or correlation