fast Fourier transform operation

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• Fast Fourier transform — A fast Fourier transform (FFT) is an efficient algorithm to compute the discrete Fourier transform (DFT) and its inverse. There are many distinct FFT algorithms involving a wide range of mathematics, from simple complex number arithmetic to group …   Wikipedia

• Fourier 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… …   Wikipedia

• 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

• 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

• Fourier analysis — In mathematics, Fourier analysis is a subject area which grew out of the study of Fourier series. The subject began with trying to understand when it was possible to represent general functions by sums of simpler trigonometric functions. The… …   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

• Relations between Fourier transforms and Fourier series — In the mathematical field of harmonic analysis, the continuous Fourier transform has very precise relations with Fourier series. It is also closely related to the discrete time Fourier transform (DTFT) and the discrete Fourier transform (DFT).… …   Wikipedia

• Continuous wavelet transform — of frequency breakdown signal. Used symlet with 5 vanishing moments. A continuous wavelet transform (CWT) is used to divide a continuous time function into wavelets. Unlike Fourier transform, the continuous wavelet transform possesses the ability …   Wikipedia

• Hilbert transform — In mathematics and in signal processing, the Hilbert transform is a linear operator which takes a function, u ( t ), and produces a function, H ( u )( t ), with the same domain. The Hilbert transform is named after David Hilbert, who first… …   Wikipedia

• Hadamard transform — The Hadamard transform (also known as the Walsh Hadamard transform, Hadamard Rademacher Walsh transform, Walsh transform, or Walsh Fourier transform) is an example of a generalized class of Fourier transforms. It is named for the French… …   Wikipedia

• Convolution — For the usage in formal language theory, see Convolution (computer science). Convolution of two square pulses: the resulting waveform is a triangular pulse. One of the functions (in this case g) is first reflected about τ = 0 and then offset by t …   Wikipedia