Maple and the parameterization of orthogonal wavelet bases
The purpose of this note is educational  to illustrate with Maple the
lattice parameterization of orthogonal wavelet bases,
and to obtain parameterizations of the coefficients
of wavelet (2channel) filter banks in terms of angles.
We will use the lattice parameterization of 2 by 2 unitary matrices.
This lattice parameterization, described by Vaidyanathan and Haong,
offers the opportunity to design orthogonal wavelet filters
via unconstrained optimization.
 theta2h.pdf

Maple and Matlab code:
 theta2h.txt
 Maple code from the note
 h6.m
 parameterization of length6 scaling filter
 h8.m
 parameterization of length8 scaling filter
 h10.m
 parameterization of length10 scaling filter
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