Effects of Random Shadings, Phasing Errors, and Element Failures on the Beam Patterns of Linear and Planar Arrays

摘要

The moments of a sum of independent complex random variables are derived, up through fourth-order, in complete generality, with no Gaussian assumptions. Applications of these results are made to linear and planar arrays, where the beamforming is subject to random shadings, phasing errors, and element failures. Expressions for the mean and variance of the random power transfer function of the array are presented. Programs and examples of their use are given for all of these results. (Author)