A bi-symmetric log transformation for wide-range data

Beau Webber

    Research output: Contribution to journalArticle

    11 Citations (Scopus)

    Abstract

    The logarithmic transformation has long been used to present data that have both large and small components that are significant, such as neutron scattering data, or to present data that perhaps cover a wide range of time-scales, such as NMR relaxation data. A more general transformation, which is applicable to many different disciplines, is offered here, and is particularly suitable for representing wide-range data that have both positive and negative (or zero) components. The proposed transform smoothly modifies the gradient of the transformation so that in the region near zero it remains finite. A single constant is provided to tune this behavior, so as to adjust the meaning of ‘region near zero’. This modified logarithmic transformation can be one-sided or symmetric, and thus can transform negative data to scaled negative data. It can be applied to both the X and Y data, when it becomes a bi-symmetric log transform.
    Original languageEnglish
    Pages (from-to)027001-027001
    Number of pages3
    JournalMeasurement Science and Technology
    Volume24
    Issue number2
    DOIs
    Publication statusPublished - Feb 2013

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