Ten lectures on wavelets
Wavelet matrices and the representation of discrete functions
Wavelets: a tutorial in theory and applications
Multirate systems and filter banks
Multirate systems and filter banks
Rank $M$ Wavelets with $N$ Vanishing Moments
SIAM Journal on Matrix Analysis and Applications
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In this paper, we consider the structure of compactly supported wavelets. And we prove that any wavelet matrix (the polyphase matrix of the scaling filter and wavelet filters) can be factored as the product of fundamental biorthgonal matrices and a constant valued matrix.