Bivariate direction finding using two perpendicular bi-directional (“figure-8”) sensors of (possibly) unequal orders

Abstract

A “figure-8” sensor is so labeled because its spatial pattern resembles the character “8” with regard to the sensor's axis. This figure-8 pattern narrows as the sensor's order increases. Using two such figure-8 directional sensors of higher order, oriented perpendicularly to each other—this paper pioneers closed-form signal-processing algorithms to estimate an incident signal's azimuth-elevation bivariate direction-of-arrival. Monte Carlo simulations verify these proposed algorithms' efficacy and statistical closeness to the corresponding Cramér-Rao bounds.