Space-Time-Frequency Degrees of Freedom: Fundamental Limits for Spatial Information
Information Theory
2007-07-13 v1 math.IT
Abstract
We bound the number of electromagnetic signals which may be observed over a frequency range a time interval within a sphere of radius . We show that the such constrained signals may be represented by a series expansion whose terms are bounded exponentially to zero beyond a threshold. Our result implies there is a finite amount of information which may be extracted from a region of space via electromagnetic radiation.
Keywords
Cite
@article{arxiv.cs/0701056,
title = {Space-Time-Frequency Degrees of Freedom: Fundamental Limits for Spatial Information},
author = {Leif Hanlen Thushara Abhayapala},
journal= {arXiv preprint arXiv:cs/0701056},
year = {2007}
}