Abstract:

In order to determine the minimum variance of parameterization calibration for sensor errors are application to direction-of-arrival (DOA) estimation, the expressions of Cramer-Rao bound (CRB) matrices of estimations of DOA and sensor errors are derived based on the stochastic model of noncircular signals and the stochastic model of temporally correlated noncircular signals, respectively. Through the comparisons between the derived CRBs and the CRBs which do not take advantage of the noncircular feature, it is proved that the derived CRBs are lower than the CRBs which do not take advantage of the noncircular feature, and this difference is greater at low signal-to-noise ratio or when the sources have larger circularity rate. The simulation results not only verify the theoretical analysis, but also show that temporal correlation of the sources can enhance the accuracy of calibration.