comfort-fftw

High-level interface to FFTW (Fast Fourier Transform) based on comfort-array.

FFTW claims to be the fastest Fourier Transform in the West. This is a high-level interface to libfftw. We re-use the type classes from netlib-ffi.

Features:

• Support of one (audio), two (image), three (video) dimensional data, as well as n-dimensional one.

• Support for batched transformations e.g. for block-wise Fourier transform.

• No normalization like in plain fftw. This is because I see no universally best place to apply normalization.

The use of comfort-array enables to use array shapes tailored to Fourier transforms:

Shape.Cyclic

for data where the n-1-th element can also be accessed via index -1.

Shape.Half

for complex data of a real-to-complex Fourier transform. It saves you from case distinction between even and odd data length and according mistakes.

Shape.Symmetric

for real-to-real Sine and Cosine transforms. They assert that you will always use the appropriate kind for back transformation.

For rather simple examples see the packages align-audio and morbus-meniere.

See also package fft.