Spectral Simulation of Gaussian Vector Random Fields on the Sphere

  • Alfredo Alegría
  • , Xavier Emery
  • , Xavier Freulon
  • , Christian Lantuéjoul
  • , Emilio Porcu
  • , Didier Renard

    Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

    Abstract

    Isotropic Gaussian random fields on the sphere are used in astronomy, geophysics, oceanography, climatology and remote sensing applications. However, to date, there is a lack of simulation algorithms that reproduce the spatial covariance structure without any approximation and, at the same time, are parsimonious in terms of computation time and memory storage requirements. This work presents two such algorithms that rely on the spectral representation of isotropic covariances on the sphere. Both algorithms are illustrated with synthetic examples.

    Original languageBritish English
    Title of host publicationSpringer Proceedings in Earth and Environmental Sciences
    PublisherSpringer Nature
    Pages51-59
    Number of pages9
    DOIs
    StatePublished - 2023

    Publication series

    NameSpringer Proceedings in Earth and Environmental Sciences
    ISSN (Print)2524-342X
    ISSN (Electronic)2524-3438

    Keywords

    • Isotropic random fields
    • Legendre polynomials
    • Schoenberg sequence
    • Spherical harmonics

    Fingerprint

    Dive into the research topics of 'Spectral Simulation of Gaussian Vector Random Fields on the Sphere'. Together they form a unique fingerprint.

    Cite this