Date of Award
Doctor of Philosophy (PhD)
Chair and Committee
Composite dilation wavelets are a class of wavelets that include additional dilations from a countable subgroup of the invertible matrices. We consider the case when these additional dilation matrices form a finite group. A theory of MRA wavelets is established in this setting along with a theory of shift invariant subspaces. We examine accuracy of this class of MRA wavelets and produce several examples of compactly support composite MRA wavelets.
Manning, Benjamin, "Composite Multi resolution Analysis Wavelets" (2012). All Theses and Dissertations (ETDs). 716.