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Space-Time-Frequency Degrees of Freedom: Fundamental Limits for Spatial Information

Hanlen, Leif; Abhayapala, Thushara


We bound the number of electromagnetic signals which may be observed over a frequency range [F - W, F + W] a time interval [0, T] within a sphere of radius R. 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.

CollectionsANU Research Publications
Date published: 2007
Type: Conference paper
Source: Proceedings of IEEE International Symposium on Information Theory (ISIT 2007)
DOI: 10.1109/ISIT.2007.4557104


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