Uncertainty principles for signal concentrations

Ram Somaraju*, Leif W. Hanlen

*Corresponding author for this work

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

    3 Citations (Scopus)

    Abstract

    Uncertainty Principles for concentration of signals into truncated subspaces are considered. The "classic" Uncertainty Principle is explored as a special case of a more general operator framework. The time-bandwidth concentration problem is shown as a similar special case. A spatial concentration of radio signals example is provided, and it is shown that an Uncertainty Principle exists for concentration of single-frequency signals for regions in space. We show that the uncertainty is related to the volumes of the spatial regions.

    Original languageEnglish
    Title of host publicationProceedings - 7th Australian Communications Theory Workshop, 2006
    Pages38-42
    Number of pages5
    Publication statusPublished - 2006
    Event7th Australian Communications Theory Workshop, 2006 - Perth, Australia
    Duration: 1 Feb 20063 Feb 2006

    Publication series

    NameProceedings - 7th Australian Communications Theory Workshop, 2006
    Volume2006

    Conference

    Conference7th Australian Communications Theory Workshop, 2006
    Country/TerritoryAustralia
    CityPerth
    Period1/02/063/02/06

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