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arXiv:cs/0701055cs.IT

Bounds on Space-Time-Frequency Dimensionality

Leif Hanlen, Thushara Abhayapala

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Abstract

We bound the number of electromagnetic signals which may be observed over a frequency range $2W$ for a time $T$ within a region of space enclosed by a radius $R$. 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.

arXiv comments
accepted Australian Communication Theory Workshop
Journal reference
DOI
Subjects
cs.ITInformation Theory

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  1. 5G researchers manage record connection speed 1 comment

    • It's a simulation [1]. The claim is that the technique is applicable to center frequencies below 6GHz and the 1Tbit/s used a bandwidth of 100MHz (for a spectral efficiency of 10^7 bit/s/Hz???). I'm guessing that whilst the technique might be applicable below 6Ghz, the 1TB/s rate…

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