Band-limited extrapolation on the sphere for signal reconstruction in the presence of noise

Yibeltal F. Alem, Zubair Khalid, Rodney A. Kennedy

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

    6 Citations (Scopus)

    Abstract

    We investigate the problem of extrapolation of band-limited signals on the 2-sphere in the presence of noise. Specifically, given incomplete or spatially limited measurements subject to noise, find the unique extrapolation to the complete 2-sphere. We present an analytic solution to the extrapolation problem based on the expansion of a signal in Slepian basis corresponding to an orthogonal set of eigenfunctions of an associated energy concentration problem. An alternative equivalent iterative algorithm is also developed for practical implementation and guidelines are proposed to choose the parameters of the iterative algorithm. The capability of the proposed extrapolation is compared and demonstrated with the help of an illustration example.

    Original languageEnglish
    Title of host publication2014 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2014
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages4141-4145
    Number of pages5
    ISBN (Print)9781479928927
    DOIs
    Publication statusPublished - 2014
    Event2014 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2014 - Florence, Italy
    Duration: 4 May 20149 May 2014

    Publication series

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

    Conference

    Conference2014 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2014
    Country/TerritoryItaly
    CityFlorence
    Period4/05/149/05/14

    Fingerprint

    Dive into the research topics of 'Band-limited extrapolation on the sphere for signal reconstruction in the presence of noise'. Together they form a unique fingerprint.

    Cite this