continuous wavelet transform

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• 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

• 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

• Continuous wavelet — In numerical analysis, continuous wavelets are functions used by the continuous wavelet transform. These functions are defined as analytical expressions, as functions either of time or of frequency. Most of the continuous wavelets are used for… …   Wikipedia

• Stationary wavelet transform — Haar Stationary Wavelet Transform of Lena The Stationary wavelet transform (SWT)[1] is a wavelet transform algorithm designed to overcome the lack of translation invariance of the discrete wavelet transform (DWT). Translation invariance is… …   Wikipedia

• 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

• 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

• 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

• 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-Transformation — Mit Wavelet Transformation (WT, engl. wavelet transform) wird eine bestimmte Familie von linearen Zeit Frequenz Transformationen in der Mathematik und den Ingenieurwissenschaften (primär: Nachrichtentechnik, Informatik) bezeichnet. Die WT setzt… …   Deutsch Wikipedia

• Mexican hat wavelet — Wavelet Mexican Hat In mathematics and numerical analysis, the Mexican hat wavelet is the negative normalized second derivative …   Wikipedia

• 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… …   Wikipedia