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Proceedings Paper

Probability Density Function For Estimates Of The Moments Of Laser Scintillation
Author(s): R G. Frehlich; James H Churnside
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Paper Abstract

The statistics of laser scintillation have been studied for many years. The random fluctuations are described by the probability density function (PDF). A rigorous solution for the PDF exists only for weak scattering (log normal PDF) and very strong scattering (negative exponential PDF). Many models for a general PDF have been proposed, and a common method of analysis has been the comparison of the moments of the PDF with experimental data. The accuracy of these experimental estimates for the moments is difficult to determine theoretically. The statistical behavior of these estimates for the moments is determined by simulation of actual experimental procedures assuming various models for the true PDF. Realizations for histograms of digitized data is generated using binomial random deviates. The only parameters required are the total number of statistically independent data samples collected and the average value for each data sample, which depends on the model PDF. Each realization for the histogram generates a realization for the moments. The PDF of these estimates for the moments is approximated by producing a histogram of a large number of such realizations. The PDF of the estimates for the moments then provides reliable confidence intervals. The behavior of the confidence limits is presented for common models for the PDF of laser scintillation.

Paper Details

Date Published: 10 August 1988
PDF: 8 pages
Proc. SPIE 0926, Optical, Infrared, Millimeter Wave Propagation Engineering, (10 August 1988); doi: 10.1117/12.945757
Show Author Affiliations
R G. Frehlich, University of Colorado (United States)
James H Churnside, National Oceanic and Atmospheric Administration (United States)

Published in SPIE Proceedings Vol. 0926:
Optical, Infrared, Millimeter Wave Propagation Engineering
Norman S. Kopeika; Walter B. Miller, Editor(s)

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