This is documentation for Mathematica 7, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.2)
Fourier Analysis
Mathematica provides broad coverage of both numeric and symbolic Fourier analysis, supporting all standard forms of Fourier transforms on data, functions and sequences, in any number of dimensions, and with uniform coverage of multiple conventions.
Fourier Transforms
FourierTransform, InverseFourierTransform complex Fourier transforms (FT, IFT)
Fourier Series
FourierSeries truncated complex Fourier series to any order
FourierCoefficient nth coefficient in a Fourier series
Fourier Sequence Transforms
FourierSequenceTransform discrete-time Fourier transform (DTFT)
InverseFourierSequenceTransform inverse transform (IDTFT)
    
Discrete Fourier Transforms
Fourier, InverseFourier discrete transforms of lists of data in any dimension (DFT)
FourierDST, FourierDCT discrete sine, cosine transforms (DST, DCT, types I-IV)
    
FourierParameters select between Fourier analysis conventions
    
Convolutions
    
Related Transforms
Related Functions
MORE ABOUT