Sparse recovery of spherical harmonic expansions from uniform distribution on sphere

Yibeltal F. Alem, S. M. Akramus Salehin, Daniel H. Chae, Rodney A. Kennedy

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

    3 Citations (Scopus)

    Abstract

    We analyse the characteristics of spherical harmonics to derive a tighter bound on the minimum number of required measurements to accurately recover a sparse signal in spherical harmonic domain. We numerically show the coherence of spherical harmonic matrix can be reduced from a polynomial order of N 1/4 or N1/6 (both achieved by preconditioning) to a logarithmic order, i.e., log2(L) with respect to the degree of spherical harmonics L. Hence," one can, with high probability, recover s-sparse spherical harmonic expansions from M ≥ s log3 N measurements ra.ndomly sampled from the uniform sin θ dθ d φ measure on sphere.

    Original languageEnglish
    Title of host publication2013, 7th International Conference on Signal Processing and Communication Systems, ICSPCS 2013 - Proceedings
    PublisherIEEE Computer Society
    ISBN (Print)9781479913190
    DOIs
    Publication statusPublished - 2013
    Event2013 7th International Conference on Signal Processing and Communication Systems, ICSPCS 2013 - Gold Coast, QLD, Australia
    Duration: 16 Dec 201318 Dec 2013

    Publication series

    Name2013, 7th International Conference on Signal Processing and Communication Systems, ICSPCS 2013 - Proceedings

    Conference

    Conference2013 7th International Conference on Signal Processing and Communication Systems, ICSPCS 2013
    Country/TerritoryAustralia
    CityGold Coast, QLD
    Period16/12/1318/12/13

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