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Fourier transform system

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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 Transform IR — Die Fourier Transformations IR Spektroskopie (FTIR) oder Fourier Transformations Infrarotspektroskopie ist eine besondere Variante der Infrarotspektroskopie. Über Fourier Transformation werden aus den mit Hilfe eines Interferometers, z. B. dem… …   Deutsch Wikipedia

  • Quantum Fourier transform — The quantum Fourier transform is the discrete Fourier transform with a particular decomposition into a product of simpler unitary matrices. Using this decomposition, the discrete Fourier transform can be implemented as a quantum circuit… …   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 optics — is the study of classical optics using techniques involving Fourier transforms and can be seen as an extension of the Huygens Fresnel principle. The underlying theorem that light waves can be described as made up of sinusoidal waves, in a manner… …   Wikipedia

  • Fourier profilometry — is a method for measuring profiles using distortions in periodic patterns. The method uses Fourier analysis (a 2 dimensional Fast Fourier transform) to determine localized slopes on a curving surface.This allows a x , y , z coordinate system of… …   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

  • System analysis — See also systems analysis. : MISO redirects here, for the data line see Serial Peripheral Interface Bus. System analysis is the branch of electrical engineering that characterizes electrical systems and their properties. Although many of the… …   Wikipedia

  • Fourier-Analysis — Die Fourier Analysis (Aussprache des Namens: fur je) auch bekannt als Fourier Analyse oder klassische harmonische Analyse ist die Theorie der Fourier Reihen und Fourier Integrale. Ihre Ursprünge reichen in das 18. Jahrhundert zurück. Benannt sind …   Deutsch Wikipedia

  • Fourier theorem — In mathematics, the Fourier theorem is a theorem stating that a periodic function f ( x ), which is reasonably continuous, may be expressed as the sum of a series of sine and cosine terms (called the Fourier series), each of which has specific… …   Wikipedia

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