Editing Discrete Fourier transform (section)

==Alternatives==
{{Main|Discrete wavelet transform}}
{{further|Discrete wavelet transform#Comparison with Fourier transform}} There are various alternatives to the DFT for various applications, prominent among which are [[wavelet]]s. The analog of the DFT is the [[discrete wavelet transform]] (DWT). From the point of view of [[time–frequency analysis]], a key limitation of the Fourier transform is that it does not include ''location'' information, only ''frequency'' information, and thus has difficulty in representing transients. As wavelets have location as well as frequency, they are better able to represent location, at the expense of greater difficulty representing frequency. For details, see [[Discrete wavelet transform#Comparison with Fourier transform|comparison of the discrete wavelet transform with the discrete Fourier transform]].