Integer Frames
Peter G. Casazza, Richard G. Lynch, Janet C. Tremain, Lindsey M., Woodland

TL;DR
This paper introduces the concept of integer frames in finite Hilbert spaces, exploring their potential to reduce errors and improve computational efficiency, and provides the first systematic study of this new class.
Contribution
It formally defines integer frames and initiates a systematic investigation into their properties and applications in finite Hilbert spaces.
Findings
Potential to mitigate quantization errors
Potential to reduce transmission losses
May speed up computation times
Abstract
Finite frame theory has become a powerful tool for many applications of mathematics. In this paper we introduce a new area of research in frame theory: Integer frames. These are frames having all integer coordinates with respect to a fixed orthonormal basis for a Hilbert space. Integer frames have potential to mitigate quantization errors and transmission losses as well as speeding up computation times. This paper gives the first systematic study of this important class of finite Hilbert space frames.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsDigital Filter Design and Implementation · Cell Adhesion Molecules Research · Melanoma and MAPK Pathways
