Identifiability analysis for array shape self-calibration in MIMO radar

This paper concerns the identifiability of antenna position errors in MIMO radar array shape self-calibration. Self-calibration is accomplished with the aid of far-field targets whose DOAs and scattering coefficients are initially unknown. By deriving and analyzing the hybrid Cramer-Rao bound (HCRB) of antenna position errors, we proved the following conclusion: with a position reference, for MIMO radar with arbitrary nominal array configuration, two or more non-collinear targets with the signal-to-noise ratio (SNR) of their echoes tending to infinity are sufficient to calibrate the antenna positions accurately. Numerical examples of the asymptotic behavior of the HCRB validate the theoretical results.