statistics-0.13.3.0: A library of statistical types, data, and functions

Copyright(c) 2011 Bryan O'Sullivan
LicenseBSD3
Maintainerbos@serpentine.com
Stabilityexperimental
Portabilityportable
Safe HaskellNone
LanguageHaskell98

Statistics.Transform

Contents

Description

Fourier-related transformations of mathematical functions.

These functions are written for simplicity and correctness, not speed. If you need a fast FFT implementation for your application, you should strongly consider using a library of FFTW bindings instead.

Synopsis

Type synonyms

Discrete cosine transform

dct :: (Vector v CD, Vector v Double, Vector v Int) => v Double -> v Double #

Discrete cosine transform (DCT-II).

dct_ :: (Vector v CD, Vector v Double, Vector v Int) => v CD -> v Double #

Discrete cosine transform (DCT-II). Only real part of vector is transformed, imaginary part is ignored.

idct :: (Vector v CD, Vector v Double) => v Double -> v Double #

Inverse discrete cosine transform (DCT-III). It's inverse of dct only up to scale parameter:

(idct . dct) x = (* length x)

idct_ :: (Vector v CD, Vector v Double) => v CD -> v Double #

Inverse discrete cosine transform (DCT-III). Only real part of vector is transformed, imaginary part is ignored.

Fast Fourier transform

fft :: Vector v CD => v CD -> v CD #

Radix-2 decimation-in-time fast Fourier transform.

ifft :: Vector v CD => v CD -> v CD #

Inverse fast Fourier transform.