Bounds on Space-Time-Frequency Dimensionality
arXiv:cs/0701055
Abstract
We bound the number of electromagnetic signals which may be observed over a frequency range for a time within a region of space enclosed by a radius . Our result implies that broadband fields in space cannot be arbitrarily complex: there is a finite amount of information which may be extracted from a region of space via electromagnetic radiation. Three-dimensional space allows a trade-off between large carrier frequency and bandwidth. We demonstrate applications in super-resolution and broadband communication.
accepted Australian Communication Theory Workshop