KnowraDiscrete Fourier transformLinked fromLinked fromThe 18 pages that link to Discrete Fourier transform, each with the reason it gives.All 18Broader topic 6Related 9Narrower topic 1Compared with 2Fourier transformBroader topic: It is the computational counterpart used when data are available as finite samples.Fourier analysisBroader topic: It makes frequency analysis possible for sampled, finite data.OrthogonalityBroader topic: Its frequency vectors are orthogonal, enabling exact coefficient recovery.Parseval's identityBroader topic: For finite sequences, the corresponding identity equates sample energy and appropriately normalized transform energy.Parseval's theoremBroader topic: Its finite-dimensional version yields an exact sum-of-squares identity.Pontryagin dualityBroader topic: For finite abelian groups, its frequency labels are precisely the group characters.