Two-channel sampling in wavelet subspaces

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We develop two-channel sampling theory in the wavelet subspace V-1 from the multi resolution analysis {V-j}(j is an element of z). Extending earlier results by G. G. Walter [11], W. Chen and S. Itoh [2] and Y. M. Hong et al [5] on the sampling theory in the wavelet or shift invariant spaces, we find a necessary and sufficient condition for two-channel sampling expansion formula to hold in V-1.
Publisher
DE GRUYTER OPEN LTD
Issue Date
2015
Language
English
Article Type
Article
Keywords

SHIFT-INVARIANT SPACES; THEOREM; FRAMES

Citation

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, v.23, no.1, pp.115 - 125

ISSN
1224-1784
DOI
10.2478/auom-2014-0069
URI
http://hdl.handle.net/10203/195217
Appears in Collection
MA-Journal Papers(저널논문)
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