Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

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

Not Accessible

Your library or personal account may give you access

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.

©2012 Optical Society of America

Full Article  |  PDF Article
More Like This
Digital simulation of an arbitrary stationary stochastic process by spectral representation

Harold T. Yura and Steen G. Hanson
J. Opt. Soc. Am. A 28(4) 675-685 (2011)

Mean level signal crossing rate for an arbitrary stochastic process

Harold T. Yura and Steen G. Hanson
J. Opt. Soc. Am. A 27(4) 797-807 (2010)

Comparison of probability density functions for analyzing irradiance statistics due to atmospheric turbulence

Jason R. W. Mclaren, John C. Thomas, Jessica L. Mackintosh, Kerry A. Mudge, Kenneth J. Grant, Bradley A. Clare, and William G. Cowley
Appl. Opt. 51(25) 5996-6002 (2012)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (7)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (17)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved