Array calibration by Fourier series parameterization: stochastic maximum likelihood solution

Abstract

A truncated Fourier series is proposed to approximate an array's response. Based on this model and a calibration procedure, the log-likelihood function is derived. An antenna array's response was computed using a numerical electromagnetic method. Based on this array response a calibration was simulated. Direct maximization of the log-likelihood function allowed for full azimuthal calibration with low error and required only 40 sources.<>