forward Fourier transform

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• 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

• 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

• Hartley transform — In mathematics, the Hartley transform is an integral transform closely related to the Fourier transform, but which transforms real valued functions to real valued functions. It was proposed as an alternative to the Fourier transform by R. V. L.… …   Wikipedia

• Modified discrete cosine transform — The modified discrete cosine transform (MDCT) is a Fourier related transform based on the type IV discrete cosine transform (DCT IV), with the additional property of being lapped: it is designed to be performed on consecutive blocks of a larger… …   Wikipedia

• Laplace transform — In mathematics, the Laplace transform is one of the best known and most widely used integral transforms. It is commonly used to produce an easily soluble algebraic equation from an ordinary differential equation. It has many important… …   Wikipedia

• Two-sided Laplace transform — In mathematics, the two sided Laplace transform or bilateral Laplace transform is an integral transform closely related to the Fourier transform, the Mellin transform, and the ordinary or one sided Laplace transform. If f ( t ) is a real or… …   Wikipedia

• Hilbert-Huang transform — The Hilbert Huang Transform (HHT) is a way to decompose a signal into so called intrinsic mode functions (IMF), and obtain instantaneous frequency data. It is designed to work well for data that are nonstationary and nonlinear. In contrast to… …   Wikipedia

• Abel transform — In mathematics, the Abel transform, named for Niels Henrik Abel, is an integral transform often used in the analysis of spherically symmetric or axially symmetric functions. The Abel transform of a function f ( r ) is given by::F(y)=2int y^infty… …   Wikipedia

• Inverse scattering transform — In mathematics, the inverse scattering transform is a method for solving some non linear partial differential equations. It is one of the most important developments in mathematical physics in the past 40 years. The method is a non linear… …   Wikipedia

• Adaptive-additive algorithm — In the studies of Fourier optics, sound synthesis, stellar interferometry, optical tweezers, and diffractive optical elements (DOEs) it is often important to know the spatial frequency phase of an observed wave source. In order to reconstruct… …   Wikipedia