Continuous wavelet

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 both wavelet decomposition and composition transforms. That is they are the continuous counterpart of orthogonal wavelets.

The following continuous wavelets have been invented for various applications:

See also


Wikimedia Foundation. 2010.

Игры ⚽ Нужно решить контрольную?

Look at other dictionaries:

  • 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 — 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-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

  • 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

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

  • Hermitian wavelet — Hermitian wavelets are a family of continuous wavelets, used in the continuous wavelet transform. The n^ extrm{th} Hermitian wavelet is defined as the n^ extrm{th} derivative of a Gaussian:Psi {n}(t)=(2n)^{ frac{n}{2c {n}H {n}left(frac{t}{sqrt{n… …   Wikipedia

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

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

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”