Abstract
We consider the sampling of band-limited spatio-temporal signals subject to the time-sequential (TS) constraint that only one spatial sample can be taken at a given time. Using the powerful techniques of lattice theory, we develop a new unifying theory linking TS sampling with generalized multidimensional sampling. The theory, which applies to arbitrary spatial and spectral supports in any dimension, includes tight fundamental performance bounds, which are asypmtotically achievable. Simple graphical design algorithms are provided for lattice sampling patterns minimizing the sampling rates, and illustrated by examples.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 37-50 |
| Number of pages | 14 |
| Journal | Proceedings of SPIE - The International Society for Optical Engineering |
| Volume | 1903 |
| DOIs | |
| State | Published - Apr 8 1993 |
| Externally published | Yes |
| Event | Image and Video Processing 1993 - San Jose, United States Duration: Jan 31 1993 → Feb 5 1993 |
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
- Computer Science Applications
- Applied Mathematics
- Electrical and Electronic Engineering