Transform

  • 111Gabor transform — The Gabor transform is a special case of the short time Fourier transform. It is used to determine the sinusoidal frequency and phase content of local sections of a signal as it changes over time. The function to be transform is first multiplied… …

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  • 112Bilinear transform — The bilinear transform (also known as Tustin s method) is used in digital signal processing and discrete time control theory to transform continuous time system representations to discrete time and vice versa. The bilinear transform is a… …

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  • 113Scale-invariant feature transform — Feature detection Output of a typical corner detection algorithm …

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  • 114Gabor-Wigner transform — The Gabor transform and the Wigner distribution function are both tools for time frequency analysis. Since the Gabor transform does not have high clarity, and the Wigner distribution function has a cross term problem [#refDJJ2007| [2] , a 2007… …

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  • 115Bäcklund transform — In mathematics, Bäcklund transforms or Bäcklund transformations relate partial differential equations and their solutions. They are an important tool in soliton theory and integrable systems. A Bäcklund transform is typically a system of first… …

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  • 116Joukowsky transform — The Joukowsky transform, also called the Joukowsky transformation, the Joukowski transform, the Zhukovsky transform and other variations, is a conformal map historically used to understand some principles of airfoil design. The transform is… …

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  • 117FBI transform — In mathematics, the FBI transform or Fourier Bros Iaglonitzer transform is a non linear version of the Fourier transform developed by the French mathematical physicists Jacques Bros and Daniel Iagolnitzer in order to characterise the local… …

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  • 118Complex wavelet transform — The complex wavelet transform (CWT) is a complex valued extension to the standard discrete wavelet transform (DWT). It is a two dimensional wavelet transform which provides multiresolution, sparse representation, and useful characterization of… …

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  • 119Number-theoretic transform — The number theoretic transform (NTT) is similar to the discrete Fourier transform, but operates with modular arithmetic on integers instead of complex numbers.DefinitionThe discrete Fourier transform is given by:f j=sum {k=0}^{n 1}x kleft(e^{… …

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  • 120Cayley transform — In mathematics, the Cayley transform, named after Arthur Cayley, has a cluster of related meanings. As originally described by Harvtxt|Cayley|1846, the Cayley transform is a mapping between skew symmetric matrices and special orthogonal matrices …

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