Discrete Fourier Transform

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Problem Description

In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of equally-spaced samples of the discrete-time Fourier transform (DTFT), which is a complex-valued function of frequency.

Bounds Chart

Discrete Fourier TransformBoundsChart.png

Step Chart

Discrete Fourier TransformStepChart.png

Improvement Table

Complexity Classes Algorithm Paper Links Lower Bounds Paper Links
Exp/Factorial
Polynomial > 3
Cubic
Quadratic
nlogn
Linear
logn