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Line 66: ==Hypercomplex Wavelet Transform== The dual tree '''Hypercomplex Wavelet Transform (HWT)''' developed in <ref name=DHWT>{{cite journal\|last1=Lam Chan\|first1=Wai\|last2=Choi\|first2=Hyeokho\|last3=Baraniuk\|first3=Richard\|title=DIRECTIONAL HYPERCOMPLEX WAVELETS FOR MULTIDIMENSIONAL SIGNAL ANALYSIS AND PROCESSING\|journal=ICASSP\|date=2004\|volume=3\|pages=996–999􀀓􀀐􀀚􀀛􀀓􀀖􀀐􀀛􀀗􀀛􀀗􀀐􀀜􀀒􀀓􀀗􀀓􀀐􀀚􀀛􀀓􀀖􀀐􀀛􀀗􀀛􀀗􀀐􀀜􀀒􀀓􀀗􀀓􀀐􀀚􀀛􀀓􀀖􀀐􀀛􀀗􀀛􀀗􀀐􀀜􀀒􀀓􀀗􀀓􀀐􀀚􀀛􀀓􀀖􀀐􀀛􀀗􀀛􀀗􀀐􀀜􀀒􀀓􀀗996–999\|url=http://citeseerx.ist.psu.edu/viewdoc/download?}}</ref> consists of standard DWT tensor and {{math\|2<sup>m -1</sup>}} wavelets obtained from combining 1-D Hilbert transform of these wavelets along the n-coordinates. In particular a 2-D HWT consists of the standard 2-D separable DWT tensor and three additional components: {{math\| H<sub>x</sub> {ψ(x)<sub>h</sub>ψ(y)<sub>h</sub>} {{=}} ψ(x)<sub>g</sub>ψ(y)<sub>h</sub> }}

Wavelet for multidimensional signals analysis: Difference between revisions