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- Haar_wavelet abstract "In mathematics, the Haar wavelet is a sequence of rescaled "square-shaped" functions which together form a wavelet family or basis. Wavelet analysis is similar to Fourier analysis in that it allows a target function over an interval to be represented in terms of an orthonormal function basis. The Haar sequence is now recognised as the first known wavelet basis and extensively used as a teaching example.The Haar sequence was proposed in 1909 by Alfréd Haar. Haar used these functions to give an example of an orthonormal system for the space of square-integrable functions on the unit interval [0, 1]. The study of wavelets, and even the term "wavelet", did not come until much later. As a special case of the Daubechies wavelet, the Haar wavelet is also known as D2.The Haar wavelet is also the simplest possible wavelet. The technical disadvantage of the Haar wavelet is that it is not continuous, and therefore not differentiable. This property can, however, be an advantage for the analysis of signals with sudden transitions, such as monitoring of tool failure in machines.The Haar wavelet's mother wavelet function can be described as Its scaling function can be described as".
- Haar_wavelet thumbnail Haar_wavelet.svg?width=300.
- Haar_wavelet wikiPageExternalLink latest.
- Haar_wavelet wikiPageExternalLink index.html.
- Haar_wavelet wikiPageExternalLink Haar.html.
- Haar_wavelet wikiPageExternalLink paper.pdf.
- Haar_wavelet wikiPageExternalLink wzip.
- Haar_wavelet wikiPageExternalLink 2.html.
- Haar_wavelet wikiPageExternalLink haar-wavelet.
- Haar_wavelet wikiPageExternalLink haar.pdf.
- Haar_wavelet wikiPageID "50905".
- Haar_wavelet wikiPageRevisionID "606355783".
- Haar_wavelet hasPhotoCollection Haar_wavelet.
- Haar_wavelet id "p/h046070".
- Haar_wavelet title "Haar system".
- Haar_wavelet subject Category:Orthogonal_wavelets.
- Haar_wavelet type Abstraction100002137.
- Haar_wavelet type Event100029378.
- Haar_wavelet type Happening107283608.
- Haar_wavelet type Movement107309781.
- Haar_wavelet type OrthogonalWavelets.
- Haar_wavelet type PsychologicalFeature100023100.
- Haar_wavelet type Ripple107344663.
- Haar_wavelet type Wave107352190.
- Haar_wavelet type YagoPermanentlyLocatedEntity.
- Haar_wavelet comment "In mathematics, the Haar wavelet is a sequence of rescaled "square-shaped" functions which together form a wavelet family or basis. Wavelet analysis is similar to Fourier analysis in that it allows a target function over an interval to be represented in terms of an orthonormal function basis. The Haar sequence is now recognised as the first known wavelet basis and extensively used as a teaching example.The Haar sequence was proposed in 1909 by Alfréd Haar.".
- Haar_wavelet label "Falki Haara".
- Haar_wavelet label "Haar wavelet".
- Haar_wavelet label "Haar-Wavelet".
- Haar_wavelet label "Ondelette de Haar".
- Haar_wavelet label "Transformada de Haar".
- Haar_wavelet label "Wavelet Haar".
- Haar_wavelet label "Wavelet de Haar".
- Haar_wavelet label "Вейвлет Хаара".
- Haar_wavelet label "哈爾小波轉換".
- Haar_wavelet sameAs Haarova_vlnka.
- Haar_wavelet sameAs Haar-Wavelet.
- Haar_wavelet sameAs Wavelet_de_Haar.
- Haar_wavelet sameAs Ondelette_de_Haar.
- Haar_wavelet sameAs Wavelet_Haar.
- Haar_wavelet sameAs Falki_Haara.
- Haar_wavelet sameAs Transformada_de_Haar.
- Haar_wavelet sameAs m.0dfpd.
- Haar_wavelet sameAs Q766198.
- Haar_wavelet sameAs Q766198.
- Haar_wavelet sameAs Haar_wavelet.
- Haar_wavelet wasDerivedFrom Haar_wavelet?oldid=606355783.
- Haar_wavelet depiction Haar_wavelet.svg.
- Haar_wavelet isPrimaryTopicOf Haar_wavelet.
