Construction of Biorthogonal Wavelets Starting from Any Two Multiresolutions
A. Aldroubi, P. Abry, M. Unser
IEEE Transactions on Signal Processing, vol. 46, no. 4, pp. 1130–1133, April 1998.
Starting from any two given multiresolution analyses of L2, {V1j}j ∈ Z, and {V2j}j ∈ 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.
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AUTHOR="Aldroubi, A. and Abry, P. and Unser, M.",
TITLE="Construction of Biorthogonal Wavelets Starting from Any Two
Multiresolutions",
JOURNAL="{IEEE} Transactions on Signal Processing",
YEAR="1998",
volume="46",
number="4",
pages="1130--1133",
month="April",
note="")
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