Geometric approach to sampling and communication
Information Theory
2010-02-17 v1 Computer Vision and Pattern Recognition
Differential Geometry
math.IT
Abstract
Relationships that exist between the classical, Shannon-type, and geometric-based approaches to sampling are investigated. Some aspects of coding and communication through a Gaussian channel are considered. In particular, a constructive method to determine the quantizing dimension in Zador's theorem is provided. A geometric version of Shannon's Second Theorem is introduced. Applications to Pulse Code Modulation and Vector Quantization of Images are addressed.
Keywords
Cite
@article{arxiv.1002.2959,
title = {Geometric approach to sampling and communication},
author = {Emil Saucan and Eli Appleboim and Yehoshua Y. Zeevi},
journal= {arXiv preprint arXiv:1002.2959},
year = {2010}
}
Comments
19 pages, submitted for publication