Optimum active array shape calibration

The authors examine several array shape calibration algorithms based on maximum likelihood and eigenstructure methods using known calibration source signals. A compact expression for the corresponding Cramer-Rao bound (CRB) on the sensor location parameters is presented. For uncorrelated calibrating sources, a necessary and sufficient condition for the optimal choice of bearings that minimize the CRB is derived. Asymptotic covariances of the estimation errors for the calibration algorithms are also presented and compared with the CRB