Constructions of periodic wavelet frames using extension principles
(with Z. Zhang), Applied and Computational Harmonic Analysis, vol.27, no.1, pp.12-23, 2009.
Since the extension principles of constructing wavelet frames were presented,
a lot of symmetric and compactly supported wavelet frames with high vanishing
moments have been constructed. However the problem of constructing periodic
wavelet frames with the help of extension principles is open. In this paper,
we will construct tight periodic wavelet frames using the unitary extension
principle and construct pairs of dual periodic wavelet frames using the mixed
Keywords: Periodic wavelet frame, dual frame, extension principle, multiresolution analysis
Get the full paper (revised on 10/02/08): PDF file.
Get the official version via doi:10.1016/j.acha.2008.10.003.
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