Regular and Irregular Sampling Theorem for Multiwavelet Subspaces

Abstract EN

We study the sampling theorem for frames in multiwavelet subspaces.

Firstly, a sufficient condition under which the regular sampling theorem holds is established.

Then, notice that irregular sampling is also useful in practice; we consider the general cases of the irregular sampling and establish a general irregular sampling theorem for multiwavelet subspaces.

Finally, using this generalized irregular sampling theorem, we obtain an estimate for the perturbations of regular sampling in shift-invariant spaces.