# transform

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**Gabor 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… …112

**Bilinear 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… …113

**Scale-invariant feature transform**— Feature detection Output of a typical corner detection algorithm …114

**Gabor-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… …115

**Bäcklund 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… …116

**Joukowsky 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… …117

**FBI 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… …118

**Complex 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… …119

**Number-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^{… …120

**Cayley 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 …