Fast Fourier Transform. More...

## Functions

AFAPI array ifft3Norm (const array &in, const double norm_factor, const dim_t odim0=0, const dim_t odim1=0, const dim_t odim2=0)
C++ Interface for inverse fast fourier transform on three dimensional signals. More...

AFAPI void ifft3InPlace (array &in, const double norm_factor=1.0)
C++ Interface for fast fourier transform on three dimensional signals. More...

AFAPI array ifft3 (const array &in, const dim_t odim0=0, const dim_t odim1=0, const dim_t odim2=0)
C++ Interface for inverse fast fourier transform on three dimensional signals. More...

AFAPI af_err af_ifft3 (af_array *out, const af_array in, const double norm_factor, const dim_t odim0, const dim_t odim1, const dim_t odim2)
C Interface for inverse fast fourier transform on three dimensional signals. More...

AFAPI af_err af_ifft3_inplace (af_array in, const double norm_factor)
C Interface for fast fourier transform on three dimensional signals. More...

## Detailed Description

Fast Fourier Transform.

The Fast Fourier Transform (FFT) is an efficient algorithm to compute the discrete Fourier transform (DFT) of a signal or array. This is most commonly used to convert data in the time (or space) domain to the frequency domain, Then, the inverse FFT (iFFT) is used to return the data to the original domain.

There are numerous algorithms to compute the FFT of an array, and the specifics of the algorithm depend on the target hardware. Most algorithms, however, use a Cooley-Tukey scheme in a divide-and-conquer approach.

Note
There are some convenience functions provided for fft where normalization factor is not required as input paramter. In such cases, the normalization factor is calculated internally based on the input data provided.

## ◆ af_ifft3()

 AFAPI af_err af_ifft3 ( af_array * out, const af_array in, const double norm_factor, const dim_t odim0, const dim_t odim1, const dim_t odim2 )

C Interface for inverse fast fourier transform on three dimensional signals.

Parameters
 [out] out is the transformed array [in] in is the input array [in] norm_factor is the normalization factor with which the input is scaled after the transformation is applied [in] odim0 is the length of output signals along first dimension - used to either truncate/pad the input [in] odim1 is the length of output signals along second dimension - used to either truncate/pad the input [in] odim2 is the length of output signals along third dimension - used to either truncate/pad the input
Returns
AF_SUCCESS if the fft transform is successful, otherwise an appropriate error code is returned.

## ◆ af_ifft3_inplace()

 AFAPI af_err af_ifft3_inplace ( af_array in, const double norm_factor )

C Interface for fast fourier transform on three dimensional signals.

Parameters
 [in,out] in is the input array on entry and the output of 3D inverse fourier transform on exit [in] norm_factor is the normalization factor with which the input is scaled after the transformation is applied
Returns
AF_SUCCESS if the ifft transform is successful, otherwise an appropriate error code is returned.
Note
The input must be a complex array

## ◆ ifft3()

 AFAPI array af::ifft3 ( const array & in, const dim_t odim0 = 0, const dim_t odim1 = 0, const dim_t odim2 = 0 )

C++ Interface for inverse fast fourier transform on three dimensional signals.

This version of fft function uses a default norm_factor parameter that is calculated internally based on the input signals.

Parameters
 [in] in is the input array [in] odim0 is the length of output signals along first dimension - used to either truncate/pad the input [in] odim1 is the length of output signals along second dimension - used to either truncate/pad the input [in] odim2 is the length of output signals along third dimension - used to either truncate/pad the input
Returns
the transformed array

## ◆ ifft3InPlace()

 AFAPI void af::ifft3InPlace ( array & in, const double norm_factor = 1.0 )

C++ Interface for fast fourier transform on three dimensional signals.

Parameters
 [in,out] in is the input array on entry and the output of 3D inverse fourier transform on exit [in] norm_factor is the normalization factor with which the input is scaled after the transformation is applied
Note
The input in must be complex

## ◆ ifft3Norm()

 AFAPI array af::ifft3Norm ( const array & in, const double norm_factor, const dim_t odim0 = 0, const dim_t odim1 = 0, const dim_t odim2 = 0 )

C++ Interface for inverse fast fourier transform on three dimensional signals.

Parameters
 [in] in is the input array [in] norm_factor is the normalization factor with which the input is scaled after the transformation is applied [in] odim0 is the length of output signals along first dimension - used to either truncate/pad the input [in] odim1 is the length of output signals along second dimension - used to either truncate/pad the input [in] odim2 is the length of output signals along third dimension - used to either truncate/pad the input
Returns
the transformed array