6- https://doi.org/10.1117/12.503746
Physical laws governing finite tight frames
- Nov 14, 2003
- Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE
- Peter G Casazza +4 more
Abstract
We give a physical interpretation for finite tight frames along the lines of Columb's Law in Physics. This allows us to use results from classical mechanics to anticipate results in frame theory. As a consequence, we are able to classify those frames for an <i>N</i>-dimensional Hilbert space which are the closest to being tight (in the sense of minimizing potential energy) while having the norms of the frame vectors prescribed in advance. This also yields a <i>fundamental inequality </i>that all finite tight frames must satisfy.
- # Finite Tight Frames
- # Finite Frames
- # Dimensional Hilbert Space
- # Fundamental Inequality
- # Law In Physics
- # Frame Theory
- # Norms Of Vectors
- # Dimensional Space
- # Frame Vectors
- # Tight Frames
