New look at the constructions of multiwavelet frames
Bull. Korean Math. Soc. 2010 Vol. 47, No. 3, 563-573
Published online May 1, 2010
Hong Oh Kim, Rae Young Kim, and Jae Kun Lim
Korea Advanced Institute of Science and Technology, Yeungnam University, and Hankyong National University
Abstract : Using the fiberization technique of a shift-invariant space and the matrix characterization of the decomposition of a shift-invariant space of finite length into an orthogonal sum of singly generated shift-invariant spaces, we show that the main result in [13] can be interpreted as a statement about the length of a shift-invariant space, and give a more natural construction of multiwavelet frames from a frame multiresolution analysis of $L^2({\mathbb R}^d)$.
Keywords : wavelet, frame, multiresolution analysis, shift-invariant space
MSC numbers : 42C15, 42C40
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