inverse discrete fourier transform
1Discrete Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms In mathematics, the discrete Fourier transform (DFT) is a specific kind of discrete transform, used in… …
2Discrete Fourier transform (general) — See also: Fourier transform on finite groups This article is about the discrete Fourier transform (DFT) over any field (including finite fields), commonly called a number theoretic transform (NTT) in the case of finite fields. For specific… …
3A derivation of the discrete Fourier transform — In mathematics, computer science, and electrical engineering, the discrete Fourier transform (DFT), occasionally called the finite Fourier transform, is a transform for Fourier analysis of finite domain discrete time signals. As with most Fourier …
4Discrete-time Fourier transform — In mathematics, the discrete time Fourier transform (DTFT) is one of the specific forms of Fourier analysis. As such, it transforms one function into another, which is called the frequency domain representation, or simply the DTFT , of the… …
5Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms The Fourier transform is a mathematical operation that decomposes a function into its constituent… …
6Discrete cosine transform — A discrete cosine transform (DCT) expresses a sequence of finitely many data points in terms of a sum of cosine functions oscillating at different frequencies. DCTs are important to numerous applications in science and engineering, from lossy… …
7Discrete sine transform — In mathematics, the discrete sine transform (DST) is a Fourier related transform similar to the discrete Fourier transform (DFT), but using a purely real matrix. It is equivalent to the imaginary parts of a DFT of roughly twice the length,… …
8Discrete Hartley transform — A discrete Hartley transform (DHT) is a Fourier related transform of discrete, periodic data similar to the discrete Fourier transform (DFT), with analogous applications in signal processing and related fields. Its main distinction from the DFT… …
9Discrete Fourier series — A Fourier series is a representation of a function in terms of a summation of an infinite number of harmonically related sinusoids with different amplitudes and phases. The amplitude and phase of a sinusoid can be combined into a single complex… …
10Fourier transform on finite groups — In mathematics, the Fourier transform on finite groups is a generalization of the discrete Fourier transform from cyclic to arbitrary finite groups.DefinitionsThe Fourier transform of a function f : G ightarrow mathbb{C},at a representation ho,… …
