Wavelet for multidimensional signals analysis: Difference between revisions

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{{Orphan|date=November 2015}}
 
[[Wavelet]]s are often used to analyse piece-wise smooth signals.<ref>{{cite book|last1=Mallat|first1=Stéphane|title=A Wavelet Tour of Signal Processing|date=2008|publisher=Academic Press}}</ref> Wavelet coefficients can efficiently represent a signal which has led to data compression algorithms using wavelets.<ref>{{cite journal|last1=Devore|first1=Ronald|last2=Jawerth|first2=Bjorn|last3=Lucier|first3=Bradley|title=Data compression using wavelets: error, smoothness and quantization|journal=IEEE Data Compression Conference,IEEE|date=8 April 1991|pages=186–195|doi=10.1109/DCC.1991.213386}}</ref> Wavelet analysis is extended for [[multidimensional signal processing]] as well. This article introduces a few methods for wavelet synthesis and analysis for multidimensional signals. There also occur challenges such as directivity in multidimensional case.
 
== Multidimensional separable Discrete Wavelet Transform (DWT) ==
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*[http://www.uio.no/studier/emner/matnat/math/MAT-INF2360/v12/tensorwavelet.pdf Tensor products in wavelet settings]
*[http://eeweb.poly.edu/iselesni/WaveletSoftware/index.html Matlab implementation of wavelet transforms]
*[https://arxiv.org/abs/1101.5320 A Panorama on Multiscale Geometric Representations, Intertwining Spatial, Directional and Frequency Selectivity], a review on 2D (two-dimensional) wavelet representations
 
[[Category:Multidimensional signal processing]]