The asymptotic probability density function of nonlinear phase noise, often called the Gordon-Mollenauer effect, is derived analytically when the number of fiber spans is very large. The nonlinear phase noise is the summation of infinitely many independently distributed noncentral chi-square random variables with two degrees of freedom. The mean and standard deviation of those random variables ...

I investigate the use of Pearson’s chi-square statistic, the Maximum Likelihood Ratio statistic for Poisson distributions, and the chi-square-gamma statistic (Mighell 1999, ApJ, 518, 380) for the determination of the goodness-of-fit between theoretical models and low-count Poisson-distributed data. I demonstrate that these statistics should not be used to determine the goodness-of-fit with data...

Title of Dissertation: A THREE DEGREE OF FREEDOM PARALLEL MANIPULATOR WITH ONLY TRANSLATIONAL DEGREES OF FREEDOM Richard Eugene Stamper, Doctor of Philosophy, 1997 Dissertation directed by: Professor Lung-Wen Tsai Department of Mechanical Engineering and Institute for Systems Research In this dissertation, a novel parallel manipulator is investigated. The manipulator has three degrees of freedo...