# transform

91

**Radon transform**— In mathematics, the Radon transform in two dimensions, named after the Austrian mathmematician Johann Radon, is the integral transform consisting of the integral of a function over straight lines. The inverse of the Radon transform is used to… …92

**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… …93

**Discrete Hartley transform**— A discrete Hartley transform (DHT) is a Fourier related transform of discrete, periodic data similar to the discrete Fourier transform (DFT), with analogous applications in signal processing and related fields. Its main distinction from the DFT… …94

**Discrete wavelet transform**— An example of the 2D discrete wavelet transform that is used in JPEG2000. The original image is high pass filtered, yielding the three large images, each describing local changes in brightness (details) in the original image. It is then low pass… …95

**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… …96

**Constant Q transform**— In mathematics and signal processing, the Constant Q Transform transforms a data series to the frequency domain, and is related to the Fourier Transform [1]. The transform can be thought of as a series of logarithmically spaced filters, with the… …97

**Fourier transform spectroscopy**— is a measurement technique whereby spectra are collected based on measurements of the temporal coherence of a radiative source, using time domain measurements of the electromagnetic radiation or other type of radiation.It can be applied to a… …98

**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… …99

**Integral transform**— In mathematics, an integral transform is any transform T of the following form:: (Tf)(u) = int {t 1}^{t 2} K(t, u), f(t), dt.The input of this transform is a function f , and the output is another function Tf . An integral transform is a… …100

**Short-time Fourier transform**— The short time Fourier transform (STFT), or alternatively short term Fourier transform, is a Fourier related transform used to determine the sinusoidal frequency and phase content of local sections of a signal as it changes over time. STFT… …