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English-russian dictionary of physics. 2013.
complex wavelet
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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… … Wikipedia
Wavelet transform — An example of the 2D discrete wavelet transform that is used in JPEG2000. In mathematics, a wavelet series is a representation of a square integrable (real or complex valued) function by a certain orthonormal series generated by a wavelet … Wikipedia
Wavelet series — In mathematics, a wavelet series is a representation of a square integrable (real or complex valued) function by a certain orthonormal series generated by a wavelet. This article provides a formal, mathematical definition of an orthonormal… … Wikipedia
Wavelet — A wavelet is a mathematical function used to divide a given function or continuous time signal into different frequency components and study each component with a resolution that matches its scale. A wavelet transform is the representation of a… … Wikipedia
Complex mexican hat wavelet — The complex Mexican hat wavelet is a low oscillation, complex valued, wavelet for the continuous wavelet transform. This wavelet is formulated in terms of its Fourier transform as the Hilbert analytic function of the conventional Mexican hat… … Wikipedia
Complex number — A complex number can be visually represented as a pair of numbers forming a vector on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the square root of –1. A complex… … Wikipedia
List of wavelet-related transforms — A list of wavelet related transforms:* Continuous wavelet transform (CWT) * Multiresolution analysis (MRA) * Discrete wavelet transform (DWT) * Fast wavelet transform (FWT) * Complex wavelet transform * Non or undecimated wavelet transform, the… … Wikipedia
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… … Wikipedia
Continuous wavelet transform — of frequency breakdown signal. Used symlet with 5 vanishing moments. A continuous wavelet transform (CWT) is used to divide a continuous time function into wavelets. Unlike Fourier transform, the continuous wavelet transform possesses the ability … Wikipedia
Shannon wavelet — or sinc wavelet Two kinds of Shannon wavelets can be implemented: *Real Shannon wavelet *Complex Shannon wavelet The signal analysis by ideal pass band filters define a decomposition known as Shannon wavelets (or sinc wavelets). The Haar and sinc … Wikipedia
Harmonic wavelet transform — In the mathematics of signal processing, the harmonic wavelet transform, introduced by David Edward Newland in 1993, is a wavelet based linear transformation of a given function into a time frequency representation. It combines advantages of the… … Wikipedia
