Parameterization of symmetric multiwavelets
P. Rieder · 2002
Multiwavelets based on two scaling functions are discussed. They exhibit the following properties: compact support, symmetry and orthogonality as well as a good frequency resolution. Lattice structures do not only offer the possibility to implement these multiwavelet transforms, the lattice rotation angles also can be used in order to parameterize all multiwavelets of a certain length. Here we search for optimal multiwavelets with respect to regularity, vanishing moments, frequency behavior (stopband attenuation) and also take a simple implementation into consideration.