Construction of Biorthogonal Wavelets Starting from Any Two Multiresolutions

Starting from any two given multiresolution analyses of $ L _{ 2 } $ , $ \{V ^{ 1 } _{ j } \} _{ j \in Z } $ , and $ \{V ^{ 2 } _{ j } \} _{ j \in Z } $ , we construct biorthogonal wavelet bases that are associated with this chosen pair of multiresolutions. Thus, our construction method takes a point of view opposite to the one of Cohen-Daubechies-Feauveau (CDF), which starts from a well-chosen pair of biorthogonal discrete filters. In our construction, the necessary and sufficient condition is the nonperpendicularity of the multiresolutions.


Published in:
IEEE Transactions on Signal Processing, 46, 4, 1130–1133
Year:
1998
Publisher:
IEEE
Keywords:
Laboratories:




 Record created 2005-11-30, last modified 2018-10-07

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