Random-Process Formulation of Computationally Efficient Performance Measures for Wideband Arrays in the Far Field

Random-process autocorrelations and crosscorrelations in three dimensions here provide computationally efficient mean-square-error and average-gain measures to control main beam and sidelobe characteristics in convex optimization of far-field beam forming coefficients for large wide-band arrays. An example optimized with the ultra-efficient interior-point code LOQO illustrates.