On frame wavelets associated with frame multiresolution analysis

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We present some necessary and sufficient conditions for a frame multiresolution analysis (FMRA) to admit a Frame wavelet whose dyadic dilations and integer translates generate a frame for L-2(R) and propose a construction of a wavelet, if it exists, which reduces to the classical orthonormal wavelet in the case of orthonormal multiresolution analysis. We also show that there always exists a frame for the detail space W-0 of a Frame MRA consisting of the integer translates of two functions and give an explicit construction of them. (C) 2001 Academic Press.
Publisher
Academic Press Inc Elsevier Science
Issue Date
2001-01
Language
English
Article Type
Article
Keywords

L(2)(R(D)); BASES

Citation

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, v.10, no.1, pp.61 - 70

ISSN
1063-5203
URI
http://hdl.handle.net/10203/78800
Appears in Collection
MA-Journal Papers(저널논문)
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