discrete Fourier transform

discrete Fourier transform
The process of converting a discrete time-based function into its frequency-based representation.

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  • Discrete 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… …   Wikipedia

  • discrete Fourier transform — diskrečioji Furjė transformacija statusas T sritis radioelektronika atitikmenys: angl. discrete Fourier transform vok. diskrete Fourier Transformation, f rus. дискретное преобразование Фурье, n pranc. transformation de Fourier discrète, f …   Radioelektronikos terminų žodynas

  • Discrete 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… …   Wikipedia

  • A 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 …   Wikipedia

  • Non-uniform discrete Fourier transform — In applied mathematics, the non uniform discrete Fourier transform (NDFT) of a signal is a type of Fourier transform, related to a discrete Fourier transform or discrete time Fourier transform, but in which the input signal is not sampled at… …   Wikipedia

  • Arithmetic complexity of the discrete Fourier transform — See Fast Fourier transform#Bounds on complexity and operation counts for a general summary of this issue.Bounds on the multiplicative complexity of FFTIn his PhD thesis in 1987 [1] , Michael Heidman focus on the arithmetic theory of complexity… …   Wikipedia

  • Discrete 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… …   Wikipedia

  • Discrete 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,… …   Wikipedia

  • Discrete 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… …   Wikipedia

  • Discrete wavelet transform — An example of the 2D discrete wavelet transform that is used in JPEG2000. The original image is high pass filtered, yielding the three large images, each describing local changes in brightness (details) in the original image. It is then low pass… …   Wikipedia

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