Microlocal analysis and multiwavelets

Multiwavelets come with several scaling functions. Microlocal filtering is done with adapted orthonormal multiwavelets, which can be considered as the action of pseudodifferential operators whose symbols are characteristic functions of disjoint sets in Fourier space. Expansion of functions or signals in terms of an orthonormal multiwavelet basis gives a rough estimate of their microlocal content. Prefilters, which can be represented in terms of the n-D Hilbert transform, are designed and a fast algorithm is considered.