Normalised Fourier Transforms

Module containing useful FFT based function and classes

aotools.fouriertransform.ft(data, delta)

A properly scaled 1-D FFT

Parameters:

• data (ndarray) – An array on which to perform the FFT
• delta (float) – Spacing between elements

Returns:

scaled FFT

Return type:

ndarray

aotools.fouriertransform.ft2(data, delta)

A properly scaled 2-D FFT

Parameters:

• data (ndarray) – An array on which to perform the FFT
• delta (float) – Spacing between elements

Returns:

scaled FFT

Return type:

ndarray

aotools.fouriertransform.ift(data, delta_f)

Scaled inverse 1-D FFT

Parameters:

• data (ndarray) – Data in Fourier Space to transform
• delta_f (ndarray) – Frequency spacing of grid

Returns:

Scaled data in real space

Return type:

ndarray

aotools.fouriertransform.ift2(data, delta_f)

Scaled inverse 2-D FFT

Parameters:

• data (ndarray) – Data in Fourier Space to transform
• delta_f (ndarray) – Frequency spacing of grid

Returns:

Scaled data in real space

Return type:

ndarray

aotools.fouriertransform.irft(data, delta_f)

Scaled real inverse 1-D FFT

Parameters:

• data (ndarray) – Data in Fourier Space to transform
• delta_f (ndarray) – Frequency spacing of grid

Returns:

Scaled data in real space

Return type:

ndarray

aotools.fouriertransform.irft2(data, delta_f)

Scaled inverse real 2-D FFT

Parameters:

• data (ndarray) – Data in Fourier Space to transform
• delta_f (ndarray) – Frequency spacing of grid

Returns:

Scaled data in real space

Return type:

ndarray

aotools.fouriertransform.rft(data, delta)

A properly scaled real 1-D FFT

Parameters:

• data (ndarray) – An array on which to perform the FFT
• delta (float) – Spacing between elements

Returns:

scaled FFT

Return type:

ndarray

aotools.fouriertransform.rft2(data, delta)

A properly scaled, real 2-D FFT

Parameters:

• data (ndarray) – An array on which to perform the FFT
• delta (float) – Spacing between elements

Returns:

scaled FFT

Return type:

ndarray