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- Fast_wavelet_transform abstract "The Fast Wavelet Transform is a mathematical algorithm designed to turn a waveform or signal in the time domain into a sequence of coefficients based on an orthogonal basis of small finite waves, or wavelets. The transform can be easily extended to multidimensional signals, such as images, where the time domain is replaced with the space domain.It has as theoretical foundation the device of a finitely generated, orthogonal multiresolution analysis (MRA). In the terms given there, one selects a sampling scale J with sampling rate of 2J per unit interval, and projects the given signal f onto the space in theory by computing the scalar products where is the scaling function of the chosen wavelet transform; in practice by any suitable sampling procedure under the condition that the signal is highly oversampled, sois the orthogonal projection or at least some good approximation of the original signal in . The MRA is characterised by its scaling sequenceor, as Z-transform, and its wavelet sequence or (some coefficients might be zero). Those allow to compute the wavelet coefficients , at least some range k=M,...,J-1, without having to approximate the integrals in the corresponding scalar products. Instead, one can directly, with the help of convolution and decimation operators, compute those coefficients from the first approximation .".
- Fast_wavelet_transform thumbnail Wavelets_-_DWT.png?width=300.
- Fast_wavelet_transform wikiPageID "1558844".
- Fast_wavelet_transform wikiPageRevisionID "559860632".
- Fast_wavelet_transform hasPhotoCollection Fast_wavelet_transform.
- Fast_wavelet_transform subject Category:Discrete_transforms.
- Fast_wavelet_transform subject Category:Wavelets.
- Fast_wavelet_transform type Abstraction100002137.
- Fast_wavelet_transform type Event100029378.
- Fast_wavelet_transform type Happening107283608.
- Fast_wavelet_transform type Movement107309781.
- Fast_wavelet_transform type PsychologicalFeature100023100.
- Fast_wavelet_transform type Ripple107344663.
- Fast_wavelet_transform type Wave107352190.
- Fast_wavelet_transform type Wavelets.
- Fast_wavelet_transform type YagoPermanentlyLocatedEntity.
- Fast_wavelet_transform comment "The Fast Wavelet Transform is a mathematical algorithm designed to turn a waveform or signal in the time domain into a sequence of coefficients based on an orthogonal basis of small finite waves, or wavelets. The transform can be easily extended to multidimensional signals, such as images, where the time domain is replaced with the space domain.It has as theoretical foundation the device of a finitely generated, orthogonal multiresolution analysis (MRA).".
- Fast_wavelet_transform label "Fast wavelet transform".
- Fast_wavelet_transform label "Schnelle Wavelet-Transformation".
- Fast_wavelet_transform label "快速小波轉換".
- Fast_wavelet_transform sameAs Schnelle_Wavelet-Transformation.
- Fast_wavelet_transform sameAs m.05b98z.
- Fast_wavelet_transform sameAs Q338438.
- Fast_wavelet_transform sameAs Q338438.
- Fast_wavelet_transform sameAs Fast_wavelet_transform.
- Fast_wavelet_transform wasDerivedFrom Fast_wavelet_transform?oldid=559860632.
- Fast_wavelet_transform depiction Wavelets_-_DWT.png.
- Fast_wavelet_transform isPrimaryTopicOf Fast_wavelet_transform.
