A sampling theorem for space-variant systems
- 1 September 1976
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America
- Vol. 66 (9) , 918-921
- https://doi.org/10.1364/josa.66.000918
Abstract
A sampling theorem applicable to that class of linear systems characterized by sufficiently slowly varying linespread functions is developed. For band-limited inputs such systems can be exactly characterized with knowledge of the sampled system line-spread function and the corresponding sampled input. The desired sampling rate is shown to be determined by both the system and the input. The corresponding output is shown to be band limited. A discrete matrix representation of the specific system class is also presented. Applications to digital processing and coherent space-variant system representation are suggested.Keywords
This publication has 5 references indexed in Scilit:
- On bandwidthProceedings of the IEEE, 1976
- Representations of space-variant optical systems using volume hologramsApplied Optics, 1975
- Space-variant image restoration by coordinate transformations*Journal of the Optical Society of America, 1974
- On Truncation Error Bounds for Sampling Representations of Band-Limited SignalsIEEE Transactions on Aerospace and Electronic Systems, 1966
- Space-Variant Image Formation*Journal of the Optical Society of America, 1965