# NEW LOOK AT THE CONSTRUCTIONS OF MULTIWAVELET FRAMES

• Received : 2008.12.13
• Published : 2010.05.31
• 50 4

#### 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

#### References

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