Near-field receive beamforming analysis using circularly distributed random arrays

A family of uniformly distributed antenna arrays is analyzed probabilistically. This yields a novel method for characterizing mean-valued performance, including ensemble average progressions for the sophisticated array factors of range Doppler routines, radar cross sections, and quadratic phase variations providing hyperfocal range characteristics. Array factors and hyperfocal distances r_H are derived for circular array distributions bound to a maximum aperture radius A for comparison and mathematical ease of analysis. Ψ variance in r_H maintains signal strength while increasing beam control.