Abstract
The most common sampling theorem is Shannon-Whittaker sampling theorem. While this theorem has been found very useful in many domains, there are cases in which it fails to determine the correct minimal sampling rate. Such a case is encountered in digital holography. It has been previously shown that a sampling rate that is lower than Nyquist rate can be applied in digital holography without loss of information. In this work we develop a generalization of the classical sampling theorem based on an analysis of the sampling process in Wigner domain. The geoeralized sampling criterion obtained is more widely applicable than Nyquist criterion. In particularly we demonstrate the application of this theorem in digital holography.
| Original language | English |
|---|---|
| Article number | 45 |
| Pages (from-to) | 110-123 |
| Number of pages | 14 |
| Journal | Proceedings of SPIE - The International Society for Optical Engineering |
| Volume | 5557 |
| DOIs | |
| State | Published - 1 Dec 2004 |
| Event | Optical Information Systems II - Denver, CO, United States Duration: 4 Aug 2004 → 5 Aug 2004 |
Keywords
- Digital-holography
- Sampling
- Wigner distribution
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
- Computer Science Applications
- Applied Mathematics
- Electrical and Electronic Engineering