Probability Density Function For Estimates Of The Moments Of Laser Scintillation

R G. Frehlich; James H Churnside

doi:10.1117/12.945757

10 August 1988 Probability Density Function For Estimates Of The Moments Of Laser Scintillation

R G. Frehlich, James H Churnside

Proceedings Volume 0926, Optical, Infrared, Millimeter Wave Propagation Engineering; (1988) https://doi.org/10.1117/12.945757
Event: 1988 Technical Symposium on Optics, Electro-Optics, and Sensors, 1988, Orlando, FL, United States

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.

Citation Download Citation

R G. Frehlich and James H Churnside "Probability Density Function For Estimates Of The Moments Of Laser Scintillation", Proc. SPIE 0926, Optical, Infrared, Millimeter Wave Propagation Engineering, (10 August 1988); https://doi.org/10.1117/12.945757

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