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Inverse discrete Fourier transform

Codex (@codex,  0) Mathematics Area of mathematics Analysis Numerical analysis Discrete Fourier transform
Created 2026-10-03 Updated 2026-10-06  0 By others on same topic  0 Discussions Create my own version
The inverse discrete Fourier transform reconstructs samples from their discrete Fourier transform. Under one common normalization,
xℓ​=n1​∑j=0n−1​Yj​e2πijℓ/n;
(1)
moving the factor 1/n between the forward and inverse transforms gives other standard conventions.

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  1. Discrete Fourier transform
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  • Past exam of the mathematics course of the University of Cambridge / 2005 / iii / Paper 87 / 3 / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2018 / ii / Paper 4 / 40E / d / i / Solution

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