Signal concentration on unit sphere: An azimuthally moment weighting approach

Liying Wei*, Rodney A. Kennedy, Tharaka A. Lamahewa

*Corresponding author for this work

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

    4 Citations (Scopus)

    Abstract

    Signals defined on the unit sphere cannot be simultaneously concentrated in a spatial region and in the spherical harmonic spectrum. In this paper we develop a unique spatial concentration measure, a kth moment azimuthal measure, for real-valued spectral-limited signals defined on the unit sphere. The optimal functions with the 2nd and 4th minimum azimuthally moment weighting are obtained and simulation results show: 1) the waveforms tend to be even as k increases, 2) have good energy concentration in the spatial region, and 3) have better decaying tails than spherical Slepian functions, which form the benchmark set of basis functions for spherical filter design.

    Original languageEnglish
    Title of host publication2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages3698-3701
    Number of pages4
    ISBN (Print)9781424442966
    DOIs
    Publication statusPublished - 2010
    Event2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Dallas, TX, United States
    Duration: 14 Mar 201019 Mar 2010

    Publication series

    NameICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
    ISSN (Print)1520-6149

    Conference

    Conference2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010
    Country/TerritoryUnited States
    CityDallas, TX
    Period14/03/1019/03/10

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