# 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… …72

**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… …73

**Z-transform**— In mathematics and signal processing, the Z transform converts a discrete time domain signal, which is a sequence of real or complex numbers, into a complex frequency domain representation. It is like a discrete equivalent of the Laplace… …74

**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… …75

**Weierstrass transform**— In mathematics, the Weierstrass transform [Ahmed I. Zayed, Handbook of Function and Generalized Function Transformations , Chapter 18. CRC Press, 1996.] of a function f : R rarr; R is the function F defined by:F(x)=frac{1}{sqrt{4piint {… …76

**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… …77

**Discrete cosine transform**— A discrete cosine transform (DCT) expresses a sequence of finitely many data points in terms of a sum of cosine functions oscillating at different frequencies. DCTs are important to numerous applications in science and engineering, from lossy… …78

**Hough transform**— The Hough transform (pronEng|ˈhʌf, rhymes with tough ) is a feature extraction technique used in image analysis, computer vision, and digital image processing. [Shapiro, Linda and Stockman, George. “Computer Vision,” Prentice Hall, Inc. 2001] The …79

**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.… …80

**Chirplet transform**— Comparison of wave, wavelet, chirp, and chirplet In signal processing, the chirplet transform is an inner product of an input signal with a family of analysis primitives called chirplets. Contents …