Cramer-Rao bounds for estimation of pure-tone signals´ azimuth-elevation arrival angles & polarization parameters & frequencies using a dipole-triad or a loop-triad

This work derives new nonasymptotic and asymptotic Cramer-Rao lower bounds (CRB) for the estimation of multiple pure-tone incident signals´ amplitudes, azimuth-elevation arrival-angles, polarization parameters, and frequencies, based on data observed from one dipole triad (composed of three spatially collocated but orthogonally oriented electrically short dipoles) or one loop-triad (composed of three spatially collocated but orthogonally oriented magnetically small loops). The incident sources are pure-tones at distinct frequencies, in contrast to the existing electromagnetic antenna-array signal-estimation CRB literature´s modeling of all sources to be at the same carrier-frequency.