Signal estimation from incomplete data on the sphere

Wen Zhang*, Rodney A. Kennedy, Thushara D. Abhayapala

*Corresponding author for this work

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

    5 Citations (Scopus)

    Abstract

    An iterative algorithm is proposed to estimate a signal on the sphere from limited or incomplete measurements. The algorithm is based on a priori assumption that the Fourier decomposition of the signal on the sphere has finite degree of spherical harmonic coefficients, that is, the signal is mode-limited or low-pass in character. The iteration algorithm is to reduce the mean square error between the spherical harmonic coefficients of the estimated and that of the original signal. Convergence and its numerical properties are determined using spherical harmonic analysis. A practical example of antenna radiation pattern reconstruction is given with detailed analysis.

    Original languageEnglish
    Title of host publicationProceedings of the 2008 Australian Communications Theory Workshop, AusCTW08
    Pages39-44
    Number of pages6
    DOIs
    Publication statusPublished - 2008
    Event2008 Australian Communications Theory Workshop, AusCTW08 - Christchurch, New Zealand
    Duration: 30 Jan 20081 Feb 2008

    Publication series

    NameProceedings of the 2008 Australian Communications Theory Workshop, AusCTW08

    Conference

    Conference2008 Australian Communications Theory Workshop, AusCTW08
    Country/TerritoryNew Zealand
    CityChristchurch
    Period30/01/081/02/08

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