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.
@ARTICLE(http://bigwww.epfl.ch/publications/aldroubi9801.html,
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="")
© 1998 IEEE. Personal use of this material is permitted. However, permission to
reprint/republish this material for advertising or promotional purposes or for creating
new collective works for resale or redistribution to servers or lists, or to reuse any
copyrighted component of this work in other works must be obtained from IEEE.
This material is presented to ensure timely dissemination of scholarly and technical work.
Copyright and all rights therein are retained by authors or by other copyright holders.
All persons copying this information are expected to adhere to the terms and constraints
invoked by each author's copyright. In most cases, these works may not be reposted without
the explicit permission of the copyright holder.