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

Publication: Research - peer-review › Journal article – Annual report year: 2012

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**Digital simulation of two-dimensional random fields with arbitrary power spectra and non-Gaussian probability distribution functions.** / Yura, Harold; Hanson, Steen Grüner.

Publication: Research - peer-review › Journal article – Annual report year: 2012

### Harvard

*Applied Optics*, vol 51, no. 10, pp. C77-C83., 10.1364/AO.51.000C77

### APA

*Applied Optics*,

*51*(10), C77-C83. 10.1364/AO.51.000C77

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*Applied Optics*. 2012, 51(10). C77-C83. Available: 10.1364/AO.51.000C77

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TY - JOUR

T1 - Digital simulation of two-dimensional random fields with arbitrary power spectra and non-Gaussian probability distribution functions

A1 - Yura,Harold

A1 - Hanson,Steen Grüner

AU - Yura,Harold

AU - Hanson,Steen Grüner

PB - Optical Society of America

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

U2 - 10.1364/AO.51.000C77

DO - 10.1364/AO.51.000C77

JO - Applied Optics

JF - Applied Optics

SN - 1559-128X

IS - 10

VL - 51

SP - C77-C83

ER -