2 citations · 4 across the 4 of their papers we have counts for
7 papers · 1 filter
Orthogonal Frames of Translates
Eric Weber
Two Bessel sequences are orthogonal if the composition of the synthesis operator of one sequence with the analysis operator of the other sequence is the 0 operator. We characterize…
The Geometry of Sampling on Unions of Lattices
Eric Weber
In this short note we show two results concerning sampling translation invariant subspaces of $\ltwod$ on unions of lattices. The first result shows that the sampling transform on…
Geometric Aspects of Frame Representations of Abelian Groups
Akram Aldroubi, David Larson, Wai-Shing Tang +1
We consider frames arising from the action of a unitary representation of a discrete countable abelian group. We show that the range of the analysis operator can be determined by c…
Robertson Type Theorems for Frames
Eric Weber
We extend Robertson's theorem to apply to frames generated by the action of a discrete, countable abelian unitary group. Within this setup we use Stone's theorem and the theory of…
Wavelets with the Translation Invariance Property of Order N
Sharon Schaffer, Eric Weber
All wavelets can be associated to a multiresolution like structure, i.e. an incr easing sequence of subspaces of L^2(R). We consider the interaction of a wavel et and the translati…
On the Translation Invariance of Wavelet Subspaces
Eric Weber
An examination of the translation invariance of under dyadic rationals is presented, generating a new equivalence relation on the collection of wavelets. The equivalence clas…