Space-time-frequency degrees of freedom: Fundamental limits for spatial information

Leif W. Hanlen, Thushara D. Abhayapala

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    11 Citations (Scopus)

    Abstract

    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.

    Original languageEnglish
    Title of host publicationProceedings - 2007 IEEE International Symposium on Information Theory, ISIT 2007
    Pages701-705
    Number of pages5
    DOIs
    Publication statusPublished - 2007
    Event2007 IEEE International Symposium on Information Theory, ISIT 2007 - Nice, France
    Duration: 24 Jun 200729 Jun 2007

    Publication series

    NameIEEE International Symposium on Information Theory - Proceedings
    ISSN (Print)2157-8101

    Conference

    Conference2007 IEEE International Symposium on Information Theory, ISIT 2007
    Country/TerritoryFrance
    CityNice
    Period24/06/0729/06/07

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