Engineering and Scientific Subroutine Library for AIX Version 3 Release 3: Guide and Reference

Overview of the Signal Processing Subroutines

This section describes the subroutines in each of the three signal processing areas:

Fourier transform subroutines (Table 128)
Convolution and correlation subroutines (Table 129)
Related-computation subroutines (Table 130)

Fourier Transforms Subroutines

The Fourier transform subroutines perform mixed-radix transforms in one, two, and three dimensions.

Table 128. List of Fourier Transform Subroutines

Descriptive Name	Short- Precision Subroutine	Long- Precision Subroutine	Page
Complex Fourier Transform	SCFT SCFTP^§	DCFT	SCFT and DCFT--Complex Fourier Transform
Real-to-Complex Fourier Transform	SRCFT	DRCFT	SRCFT and DRCFT--Real-to-Complex Fourier Transform
Complex-to-Real Fourier Transform	SCRFT	DCRFT	SCRFT and DCRFT--Complex-to-Real Fourier Transform
Cosine Transform	SCOSF SCOSFT^§	DCOSF	SCOSF and DCOSF--Cosine Transform
Sine Transform	SSINF	DSINF	SSINF and DSINF--Sine Transform
Complex Fourier Transform in Two Dimensions	SCFT2 SCFT2P^§	DCFT2	SCFT2 and DCFT2--Complex Fourier Transform in Two Dimensions
Real-to-Complex Fourier Transform in Two Dimensions	SRCFT2	DRCFT2	SRCFT2 and DRCFT2--Real-to-Complex Fourier Transform in Two Dimensions
Complex-to-Real Fourier Transform in Two Dimensions	SCRFT2	DCRFT2	SCRFT2 and DCRFT2--Complex-to-Real Fourier Transform in Two Dimensions
Complex Fourier Transform in Three Dimensions	SCFT3 SCFT3P^§	DCFT3	SCFT3 and DCFT3--Complex Fourier Transform in Three Dimensions
Real-to-Complex Fourier Transform in Three Dimensions	SRCFT3	DRCFT3	SRCFT3 and DRCFT3--Real-to-Complex Fourier Transform in Three Dimensions
Complex-to-Real Fourier Transform in Three Dimensions	SCRFT3	DCRFT3	SCRFT3 and DCRFT3--Complex-to-Real Fourier Transform in Three Dimensions
^§ This subroutine is provided only for migration from earlier releases of ESSL and is not intended for use in new programs. Documentation for this subroutine is no longer provided.

Convolution and Correlation Subroutines

The convolution and correlation subroutines provide the choice of using Fourier methods or direct methods. The Fourier-method subroutines contain a high-performance mixed-radix capability. There are also several direct-method subroutines that provide decimated output.

Table 129. List of Convolution and Correlation Subroutines

Descriptive Name	Short- Precision Subroutine	Long- Precision Subroutine	Page
Convolution or Correlation of One Sequence with One or More Sequences	SCON^§ SCOR^§		SCON and SCOR--Convolution or Correlation of One Sequence with One or More Sequences
Convolution or Correlation of One Sequence with Another Sequence Using a Direct Method	SCOND SCORD		SCOND and SCORD--Convolution or Correlation of One Sequence with Another Sequence Using a Direct Method
Convolution or Correlation of One Sequence with One or More Sequences Using the Mixed-Radix Fourier Method	SCONF SCORF		SCONF and SCORF--Convolution or Correlation of One Sequence with One or More Sequences Using the Mixed-Radix Fourier Method
Convolution or Correlation with Decimated Output Using a Direct Method	SDCON SDCOR	DDCON DDCOR	SDCON, DDCON, SDCOR, and DDCOR--Convolution or Correlation with Decimated Output Using a Direct Method
Autocorrelation of One or More Sequences	SACOR^§		SACOR--Autocorrelation of One or More Sequences
Autocorrelation of One or More Sequences Using the Mixed-Radix Fourier Method	SACORF		SACORF--Autocorrelation of One or More Sequences Using the Mixed-Radix Fourier Method
^§ These subroutines are provided only for migration from earlier releases of ESSL and are not intended for use in new programs.

Related-Computation Subroutines

The related-computation subroutines consist of a group of computations that can be used in general signal processing applications. They are similar to those provided on the IBM 3838 Array Processor; however, the ESSL subroutines generally solve a wider range of problems.

Table 130. List of Related-Computation Subroutines

Descriptive Name	Short- Precision Subroutine	Long- Precision Subroutine	Page
Polynomial Evaluation	SPOLY	DPOLY	SPOLY and DPOLY--Polynomial Evaluation
I-th Zero Crossing	SIZC	DIZC	SIZC and DIZC--I-th Zero Crossing
Time-Varying Recursive Filter	STREC	DTREC	STREC and DTREC--Time-Varying Recursive Filter
Quadratic Interpolation	SQINT	DQINT	SQINT and DQINT--Quadratic Interpolation
Wiener-Levinson Filter Coefficients	SWLEV CWLEV	DWLEV ZWLEV	SWLEV, DWLEV, CWLEV, and ZWLEV--Wiener-Levinson Filter Coefficients

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