Digital simulation of two-dimensional random fields with arbitrary power spectra and non-Gaussian probability distribution functions

Harold Yura, Steen Grüner Hanson

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    Abstract

    Methods for simulation of two-dimensional signals with arbitrary power spectral densities and signal amplitude probability density functions are disclosed. The method relies on initially transforming a white noise sample set of random Gaussian distributed numbers into a corresponding set with the desired spectral distribution, after which this colored Gaussian probability distribution is transformed via an inverse transform into the desired probability distribution. In most cases the method provides satisfactory results and can thus be considered an engineering approach. Several illustrative examples with relevance for optics are given.
    Original languageEnglish
    JournalApplied Optics
    Volume51
    Issue number10
    Pages (from-to)C77-C83
    ISSN1559-128X
    DOIs
    Publication statusPublished - 2012

    Bibliographical note

    This paper was published in Applied Optics and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/ao/abstract.cfm?uri=ao-51-10-C77. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.

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