Probability Distribution of Array Response for Randomly Perturbed Element Gains

摘要

The characteristics function of the power response of an array subject to Gaussian perturbations in its element gains is derived. From this expression, the cumulants are derived, and the mean and standard deviation are plotted for a wide variety of arrays and weights, including linear arrays or planar arrays, and Dolph-Chebyshev, Hanning, or uniform weights. Rules of thumb for the average attainable deep side lobe level and its variation are presented. Expressions for non-Gaussian element perturbations are also derived. (Author)